Page 1
a
b
V (m³)
T (K) 1.00 100.00 200.00 300.00 305.32 400.00 500.00 600.00
0.05 166.29 16,628.94 33,257.89 49,886.83 50,771.49 66,515.78 83,144.72 99,773.66
0.10 83.14 8,314.47 16,628.94 24,943.42 25,385.75 33,257.89 41,572.36 49,886.83
0.15 55.43 5,542.98 11,085.96 16,628.94 16,923.83 22,171.93 27,714.91 33,257.89
0.20 41.57 4,157.24 8,314.47 12,471.71 12,692.87 16,628.94 20,786.18 24,943.42
0.25 33.26 3,325.79 6,651.58 9,977.37 10,154.30 13,303.16 16,628.94 19,954.73
0.30 27.71 2,771.49 5,542.98 8,314.47 8,461.92 11,085.96 13,857.45 16,628.94
0.35 23.76 2,375.56 4,751.13 7,126.69 7,253.07 9,502.25 11,877.82 14,253.38
0.40 20.79 2,078.62 4,157.24 6,235.85 6,346.44 8,314.47 10,393.09 12,471.71
0.45 18.48 1,847.66 3,695.32 5,542.98 5,641.28 7,390.64 9,238.30 11,085.96
0.50 16.63 1,662.89 3,325.79 4,988.68 5,077.15 6,651.58 8,314.47 9,977.37
0.55 15.12 1,511.72 3,023.44 4,535.17 4,615.59 6,046.89 7,558.61 9,070.33
0.60 13.86 1,385.75 2,771.49 4,157.24 4,230.96 5,542.98 6,928.73 8,314.47
0.65 12.79 1,279.15 2,558.30 3,837.45 3,905.50 5,116.60 6,395.75 7,674.90
0.70 11.88 1,187.78 2,375.56 3,563.35 3,626.54 4,751.13 5,938.91 7,126.69
0.75 11.09 1,108.60 2,217.19 3,325.79 3,384.77 4,434.39 5,542.98 6,651.58
0.80 10.39 1,039.31 2,078.62 3,117.93 3,173.22 4,157.24 5,196.55 6,235.85
0.85 9.78 978.17 1,956.35 2,934.52 2,986.56 3,912.69 4,890.87 5,869.04
0.90 9.24 923.83 1,847.66 2,771.49 2,820.64 3,695.32 4,619.15 5,542.98
0.95 8.75 875.21 1,750.42 2,625.62 2,672.18 3,500.83 4,376.04 5,251.25
1.00 8.31 831.45 1,662.89 2,494.34 2,538.57 3,325.79 4,157.24 4,988.68
1.05 7.92 791.85 1,583.71 2,375.56 2,417.69 3,167.42 3,959.27 4,751.13
1.10 7.56 755.86 1,511.72 2,267.58 2,307.80 3,023.44 3,779.31 4,535.17
1.15 7.23 723.00 1,446.00 2,168.99 2,207.46 2,891.99 3,614.99 4,337.99
1.20 6.93 692.87 1,385.75 2,078.62 2,115.48 2,771.49 3,464.36 4,157.24
1.25 6.65 665.16 1,330.32 1,995.47 2,030.86 2,660.63 3,325.79 3,990.95
1.30 6.40 639.57 1,279.15 1,918.72 1,952.75 2,558.30 3,197.87 3,837.45
5
Bakhita Pearl Lachica
Leonard Marc Ramos
Bianca Diane Tero
Gas:
Critical Temperature (K):
Critical Volume (m³/mol): 0.000148
P (Pa)
11/15/2014Date Prepared:
Group Number:
4.93333E-05
Ethane, C₂H₆
4.93333E-05
0.743925629 0.751418079
0.000074
Critical Pressure (Pa):
8.314472R (J/mol-K):
Name of Members:
305.32
488365
Acentric Factor: 0.099
Table 2. Ideal Gas Equation
98.56642182
0.000450366
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Table 1. a and b Values of Ethane for Different Equations of State
Peng-Robinson
a (T)
0.000404413
Van der Waals Berthelot Dieterici Redlich-Kwong
0.032091441
Page 2
0.05
0.1
0.15
1.00
200.00
305.32
500.00
700.00
0.00
50,000.00
100,000.00
150,000.00
0.050.10
0.150.20
0.250.30
0.350.40
0.45
T
P
V
Ideal Gas Isotherm
0.00
20,000.00
40,000.00
60,000.00
80,000.00
100,000.00
120,000.00
140,000.00
0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40
P
V
Ideal Gas Isotherm
1.00
100.00
200.00
300.00
305.32
400.00
500.00
600.00
700.00
Page 3
V (m³)
T (K) 1.00 100.00 200.00 300.00 305.32 400.00 500.00
0.05 153.62 16,632.53 33,277.90 49,923.27 50,808.80 66,568.63 83,214.00
0.10 79.98 8,315.37 16,633.94 24,952.52 25,395.07 33,271.09 41,589.67
0.15 54.02 5,543.38 11,088.18 16,632.99 16,927.97 22,177.79 27,722.60
0.20 40.78 4,157.46 8,315.72 12,473.98 12,695.20 16,632.24 20,790.51
0.25 32.75 3,325.93 6,652.38 9,978.82 10,155.79 13,305.27 16,631.71
0.30 27.36 2,771.59 5,543.54 8,315.48 8,462.95 11,087.43 13,859.38
0.35 23.50 2,375.64 4,751.53 7,127.43 7,253.83 9,503.33 11,879.23
0.40 20.59 2,078.67 4,157.55 6,236.42 6,347.02 8,315.30 10,394.17
0.45 18.32 1,847.70 3,695.57 5,543.43 5,641.74 7,391.29 9,239.16
0.50 16.50 1,662.93 3,325.99 4,989.05 5,077.52 6,652.11 8,315.16
0.55 15.01 1,511.75 3,023.61 4,535.47 4,615.90 6,047.33 7,559.18
0.60 13.77 1,385.77 2,771.63 4,157.49 4,231.22 5,543.35 6,929.21
0.65 12.72 1,279.17 2,558.42 3,837.66 3,905.72 5,116.91 6,396.16
0.70 11.81 1,187.80 2,375.67 3,563.53 3,626.73 4,751.40 5,939.26
0.75 11.03 1,108.61 2,217.28 3,325.95 3,384.93 4,434.62 5,543.29
700.00 0.80 10.34 1,039.32 2,078.70 3,118.07 3,173.36 4,157.44 5,196.82
116,402.61 0.85 9.74 978.19 1,956.42 2,934.65 2,986.69 3,912.88 4,891.11
58,201.30 0.90 9.20 923.84 1,847.72 2,771.60 2,820.75 3,695.48 4,619.36
38,800.87 0.95 8.72 875.22 1,750.47 2,625.72 2,672.29 3,500.98 4,376.23
29,100.65 1.00 8.28 831.46 1,662.94 2,494.43 2,538.67 3,325.92 4,157.41
23,280.52 1.05 7.89 791.86 1,583.75 2,375.65 2,417.77 3,167.54 3,959.43
19,400.43 1.10 7.53 755.87 1,511.76 2,267.66 2,307.87 3,023.55 3,779.45
16,628.94 1.15 7.21 723.00 1,446.03 2,169.06 2,207.53 2,892.09 3,615.12
14,550.33 1.20 6.91 692.88 1,385.78 2,078.68 2,115.54 2,771.58 3,464.48
12,933.62 1.25 6.63 665.16 1,330.35 1,995.53 2,030.92 2,660.72 3,325.90
11,640.26 1.30 6.38 639.58 1,279.18 1,918.78 1,952.80 2,558.38 3,197.98
10,582.06 1.35 6.14 615.89 1,231.80 1,847.71 1,880.48 2,463.62 3,079.53
9,700.22 1.40 5.92 593.90 1,187.81 1,781.72 1,813.32 2,375.63 2,969.54
8,954.05 1.45 5.72 573.42 1,146.85 1,720.28 1,750.79 2,293.71 2,867.14
8,314.47 1.50 5.53 554.30 1,108.62 1,662.93 1,692.42 2,217.25 2,771.57
7,760.17 1.55 5.35 536.42 1,072.86 1,609.29 1,637.83 2,145.73 2,682.16
7,275.16 1.60 5.18 519.66 1,039.33 1,559.00 1,586.65 2,078.67 2,598.34
6,847.21 1.65 5.03 503.91 1,007.83 1,511.76 1,538.56 2,015.68 2,519.60
6,466.81 1.70 4.88 489.09 978.19 1,467.29 1,493.31 1,956.39 2,445.49
6,126.45 1.75 4.74 475.12 950.24 1,425.37 1,450.64 1,900.49 2,375.62
5,820.13 1.80 4.61 461.92 923.85 1,385.77 1,410.35 1,847.70 2,309.63
5,542.98 1.85 4.49 449.43 898.88 1,348.32 1,372.23 1,797.76 2,247.21
5,291.03 1.90 4.37 437.61 875.22 1,312.84 1,336.12 1,750.45 2,188.07
5,060.98 1.95 4.26 426.39 852.78 1,279.17 1,301.86 1,705.57 2,131.96
4,850.11 2.00 4.15 415.73 831.46 1,247.19 1,269.31 1,662.93 2,078.66
4,656.10 2.05 4.05 405.59 811.18 1,216.77 1,238.35 1,622.37 2,027.96
4,477.02 2.10 3.95 395.93 791.87 1,187.80 1,208.87 1,583.74 1,979.68
P (Pa)
5
Bakhita Pearl Lachica
Leonard Marc Ramos
Bianca Diane Tero
P (Pa)
11/15/2014
Table 3. Van der Waals Equation
Table 2. Ideal Gas Equation
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Table 1. a and b Values of Ethane for Different Equations of State
Peng-Robinson
a (T)
0.000404413
Page 4
1.00
200.00
305.32
500.00
0.00
20,000.00
40,000.00
60,000.00
80,000.00
100,000.00
120,000.00
0.05 0.10 0.15 0.20 0.25 0.30 0.350.40
0.45
P
V
Van der Waals Isotherm for Ethane
1.00
100.00
200.00
300.00
305.32
400.00
500.00
600.00
700.000.00
10,000.00
20,000.00
30,000.00
40,000.00
50,000.00
60,000.00
70,000.00
0.00 0.50 1.00 1.50 2.00
P
V
Van der Waals Isotherm for Ethane
Page 5
V (m³)
600.00 700.00 T (K) 1.00 100.00 200.00 300.00 305.32 400.00
99,859.37 116,504.74 0.05 27.32 16,355.28 33,007.53 49,660.67 50,541.32 66,314.03
49,908.25 58,226.82 0.10 33.70 8,245.77 16,566.23 24,886.80 25,328.13 25,329.46
33,267.40 38,812.21 0.15 30.36 5,512.40 11,058.07 16,603.77 16,898.21 16,898.80
24,948.77 29,107.03 0.20 26.47 4,140.02 8,298.78 12,457.55 12,678.46 12,678.79
19,958.16 23,284.60 0.25 23.18 3,314.77 6,641.53 9,968.30 10,145.07 10,145.29
16,631.32 19,403.27 0.30 20.51 2,763.84 5,536.00 8,308.18 8,455.51 8,455.66
14,255.13 16,631.03 0.35 18.35 2,369.94 4,746.00 7,122.06 7,248.36 7,248.47
12,473.05 14,551.92 0.40 16.59 2,074.31 4,153.31 6,232.31 6,342.83 6,342.92
11,087.02 12,934.88 0.45 15.12 1,844.26 3,692.22 5,540.18 5,638.43 5,638.49
9,978.22 11,641.28 0.50 13.88 1,660.14 3,323.28 4,986.42 5,074.84 5,074.90
9,071.04 10,582.90 0.55 12.83 1,509.44 3,021.37 4,533.29 4,613.68 4,613.73
8,315.07 9,700.93 0.60 11.92 1,383.83 2,769.75 4,155.66 4,229.36 4,229.39
7,675.40 8,954.65 0.65 11.13 1,277.52 2,556.81 3,836.11 3,904.13 3,904.17
7,127.13 8,314.99 0.70 10.44 1,186.37 2,374.28 3,562.19 3,625.36 3,625.39
6,651.96 7,760.63 0.75 9.83 1,107.37 2,216.08 3,324.78 3,383.74 3,383.76
6,236.19 7,275.56 0.80 9.28 1,038.23 2,077.64 3,117.04 3,172.32 3,172.34
5,869.34 6,847.57 0.85 8.80 977.22 1,955.48 2,933.74 2,985.76 2,985.78
5,543.25 6,467.13 0.90 8.36 922.98 1,846.88 2,770.79 2,819.93 2,819.94
5,251.48 6,126.74 0.95 7.96 874.44 1,749.72 2,624.99 2,671.54 2,671.56
4,988.90 5,820.39 1.00 7.60 830.76 1,662.27 2,493.77 2,538.00 2,538.01
4,751.32 5,543.21 1.05 7.27 791.23 1,583.14 2,375.05 2,417.17 2,417.18
4,535.34 5,291.24 1.10 6.96 755.29 1,511.20 2,267.11 2,307.32 2,307.33
4,338.15 5,061.18 1.15 6.68 722.48 1,445.52 2,168.56 2,207.02 2,207.03
4,157.38 4,850.29 1.20 6.43 692.39 1,385.31 2,078.22 2,115.08 2,115.09
3,991.08 4,656.27 1.25 6.19 664.72 1,329.91 1,995.11 2,030.49 2,030.50
3,837.58 4,477.17 1.30 5.97 639.17 1,278.78 1,918.39 1,952.41 1,952.42
3,695.44 4,311.35 1.35 5.76 615.51 1,231.43 1,847.35 1,880.11 1,880.12
3,563.45 4,157.37 1.40 5.57 593.54 1,187.46 1,781.38 1,812.97 1,812.98
3,440.57 4,014.00 1.45 5.39 573.08 1,146.52 1,719.97 1,750.47 1,750.47
3,325.88 3,880.20 1.50 5.22 553.99 1,108.32 1,662.64 1,692.13 1,692.13
3,218.59 3,755.03 1.55 5.06 536.13 1,072.57 1,609.02 1,637.55 1,637.56
3,118.01 3,637.68 1.60 4.91 519.39 1,039.06 1,558.74 1,586.38 1,586.39
3,023.52 3,527.45 1.65 4.77 503.65 1,007.58 1,511.51 1,538.32 1,538.32
2,934.59 3,423.69 1.70 4.64 488.85 977.96 1,467.06 1,493.08 1,493.08
2,850.75 3,325.87 1.75 4.51 474.89 950.02 1,425.15 1,450.43 1,450.43
2,771.56 3,233.48 1.80 4.39 461.70 923.64 1,385.57 1,410.14 1,410.15
2,696.65 3,146.09 1.85 4.28 449.23 898.68 1,348.13 1,372.03 1,372.04
2,625.68 3,063.30 1.90 4.17 437.41 875.03 1,312.65 1,335.93 1,335.94
2,558.36 2,984.75 1.95 4.07 426.20 852.60 1,279.00 1,301.68 1,301.68
2,494.40 2,910.13 2.00 3.97 415.55 831.29 1,247.03 1,269.14 1,269.15
2,433.55 2,839.15 2.05 3.88 405.42 811.02 1,216.62 1,238.19 1,238.19
2,375.61 2,771.55 2.10 3.79 395.77 791.71 1,187.65 1,208.71 1,208.72
P (Pa) P (Pa)
Table 3. Van der Waals Equation Table 4. Dieterici Equation
Page 6
200.00
305.32
500.00
700.00
T
2.50
1.00
100.00
200.00
300.00
305.32
400.00
0.00
20,000.00
40,000.00
60,000.00
80,000.00
100,000.00
120,000.00
0.05 0.10 0.15 0.20 0.25 0.30 0.350.40
0.45
P
V
Dieterici Isotherm for Ethane
0.00
10,000.00
20,000.00
30,000.00
40,000.00
50,000.00
60,000.00
70,000.00
0.00 0.50 1.00 1.50 2.00
P
V
Dieterici Isotherm for Ethane
Page 7
V (m³)
500.00 600.00 700.00 T (K) 1.00 100.00 200.00 300.00 305.32
82,967.49 99,620.99 116,274.51 0.05 -131.12 16,642.39 33,289.25 49,935.11 50,820.66
41,528.02 49,848.63 58,169.26 0.10 8.79 8,317.83 16,636.78 24,955.48 25,398.03
27,695.19 33,240.91 38,786.62 0.15 22.38 5,544.47 11,089.44 16,634.30 16,929.29
20,775.09 24,933.86 29,092.64 0.20 22.98 4,158.08 8,316.43 12,474.72 12,695.94
16,621.85 19,948.62 23,275.39 0.25 21.36 3,326.33 6,652.83 9,979.30 10,156.26
13,852.52 16,624.70 19,396.87 0.30 19.45 2,771.86 5,543.85 8,315.81 8,463.28
11,874.20 14,250.26 16,626.33 0.35 17.69 2,375.84 4,751.77 7,127.67 7,254.07
10,390.32 12,469.32 14,548.32 0.40 16.14 2,078.83 4,157.73 6,236.61 6,347.20
9,236.11 11,084.08 12,932.04 0.45 14.80 1,847.83 3,695.71 5,543.58 5,641.88
8,312.70 9,975.84 11,638.98 0.50 13.65 1,663.03 3,326.10 4,989.17 5,077.64
7,557.14 9,069.07 10,581.00 0.55 12.66 1,511.83 3,023.70 4,535.57 4,616.00
6,927.49 8,313.41 9,699.33 0.60 11.79 1,385.84 2,771.71 4,157.57 4,231.30
6,394.70 7,673.99 8,953.29 0.65 11.03 1,279.23 2,558.48 3,837.73 3,905.79
5,938.00 7,125.91 8,313.82 0.70 10.36 1,187.85 2,375.72 3,563.59 3,626.79
5,542.19 6,650.90 7,759.60 0.75 9.76 1,108.66 2,217.33 3,326.00 3,384.98
5,195.85 6,235.26 7,274.66 0.80 9.23 1,039.36 2,078.74 3,118.12 3,173.41
4,890.25 5,868.51 6,846.77 0.85 8.75 978.22 1,956.45 2,934.69 2,986.73
4,618.60 5,542.51 6,466.42 0.90 8.32 923.87 1,847.76 2,771.64 2,820.79
4,375.55 5,250.82 6,126.10 0.95 7.93 875.24 1,750.50 2,625.76 2,672.32
4,156.79 4,988.30 5,819.81 1.00 7.57 831.48 1,662.97 2,494.46 2,538.70
3,958.87 4,750.78 5,542.69 1.05 7.24 791.88 1,583.78 2,375.67 2,417.80
3,778.94 4,534.85 5,290.76 1.10 6.94 755.89 1,511.79 2,267.68 2,307.90
3,614.65 4,337.70 5,060.74 1.15 6.67 723.02 1,446.05 2,169.08 2,207.55
3,464.06 4,156.97 4,849.89 1.20 6.41 692.90 1,385.80 2,078.70 2,115.56
3,325.50 3,990.70 4,655.90 1.25 6.18 665.18 1,330.37 1,995.55 2,030.94
3,197.61 3,837.22 4,476.83 1.30 5.96 639.59 1,279.20 1,918.80 1,952.82
3,079.19 3,695.11 4,311.03 1.35 5.75 615.91 1,231.82 1,847.73 1,880.49
2,969.23 3,563.15 4,157.07 1.40 5.56 593.91 1,187.82 1,781.73 1,813.33
2,866.85 3,440.29 4,013.73 1.45 5.38 573.43 1,146.86 1,720.29 1,750.80
2,771.29 3,325.62 3,879.94 1.50 5.21 554.31 1,108.63 1,662.95 1,692.44
2,681.90 3,218.35 3,754.79 1.55 5.05 536.43 1,072.87 1,609.30 1,637.84
2,598.10 3,117.78 3,637.46 1.60 4.91 519.67 1,039.34 1,559.01 1,586.66
2,519.37 3,023.30 3,527.23 1.65 4.77 503.92 1,007.84 1,511.77 1,538.58
2,445.28 2,934.39 3,423.50 1.70 4.63 489.10 978.20 1,467.30 1,493.32
2,375.42 2,850.55 3,325.68 1.75 4.51 475.12 950.25 1,425.38 1,450.65
2,309.44 2,771.37 3,233.31 1.80 4.39 461.93 923.85 1,385.78 1,410.36
2,247.02 2,696.47 3,145.92 1.85 4.28 449.44 898.88 1,348.33 1,372.24
2,187.90 2,625.52 3,063.14 1.90 4.17 437.61 875.23 1,312.84 1,336.13
2,131.80 2,558.20 2,984.60 1.95 4.07 426.39 852.79 1,279.18 1,301.87
2,078.51 2,494.25 2,909.99 2.00 3.97 415.73 831.47 1,247.20 1,269.32
2,027.81 2,433.41 2,839.01 2.05 3.88 405.59 811.19 1,216.78 1,238.36
1,979.54 2,375.48 2,771.42 2.10 3.79 395.93 791.87 1,187.81 1,208.87
P (Pa) P (Pa)
Table 4. Dieterici Equation Table 5. Berthelot Equation
Page 8
1.00
200.00
305.32
500.00
700.00
0.45
T
2.00 2.50
1.00
100.00
200.00
300.00
305.32
400.00
-20,000.00
0.00
20,000.00
40,000.00
60,000.00
80,000.00
100,000.00
120,000.00
0.05 0.10 0.15 0.20 0.25 0.30 0.35
P
V
Berthelot Isotherm for Ethane
-10,000.00
0.00
10,000.00
20,000.00
30,000.00
40,000.00
50,000.00
60,000.00
70,000.00
0.00 0.50 1.00 1.50
P
V
Berthelot Isotherm for Ethane
Page 9
V (m³)
400.00 500.00 600.00 700.00 T (K) 1.00 100.00 200.00 300.00
66,580.73 83,226.24 99,871.71 116,517.15 0.05 ######## 12,872.63 30,797.18 48,084.29
33,274.12 41,592.73 49,911.33 58,229.92 0.10 -9,728.93 7,370.84 16,010.33 24,489.74
22,179.14 27,723.96 33,268.77 38,813.59 0.15 -4,312.02 5,122.91 10,810.51 16,426.86
16,633.00 20,791.27 24,949.54 29,107.81 0.20 -2,416.96 3,920.76 8,159.39 12,357.91
13,305.75 16,632.20 19,958.65 23,285.10 0.25 -1,540.91 3,174.37 6,552.27 9,904.48
11,087.77 13,859.72 16,631.67 19,403.61 0.30 -1,065.78 2,666.30 5,473.99 8,263.84
9,503.58 11,879.48 14,255.38 16,631.28 0.35 -779.80 2,298.27 4,700.43 7,089.48
8,315.49 10,394.36 12,473.24 14,552.11 0.40 -594.54 2,019.43 4,118.41 6,207.36
7,391.44 9,239.31 11,087.17 12,935.04 0.45 -467.77 1,800.89 3,664.64 5,520.46
6,652.23 8,315.29 9,978.35 11,641.41 0.50 -377.27 1,625.00 3,300.93 4,970.44
6,047.43 7,559.28 9,071.14 10,583.00 0.55 -310.44 1,480.40 3,002.90 4,520.09
5,543.43 6,929.29 8,315.15 9,701.01 0.60 -259.72 1,359.43 2,754.23 4,144.56
5,116.98 6,396.23 7,675.48 8,954.72 0.65 -220.33 1,256.72 2,543.59 3,826.65
4,751.46 5,939.32 7,127.19 8,315.06 0.70 -189.14 1,168.44 2,362.88 3,554.03
4,434.67 5,543.34 6,652.01 7,760.68 0.75 -164.03 1,091.75 2,206.14 3,317.68
4,157.49 5,196.86 6,236.24 7,275.61 0.80 -143.52 1,024.50 2,068.90 3,110.80
3,912.92 4,891.15 5,869.38 6,847.61 0.85 -126.56 965.06 1,947.74 2,928.20
3,695.52 4,619.40 5,543.28 6,467.16 0.90 -112.38 912.13 1,839.99 2,765.86
3,501.01 4,376.26 5,251.52 6,126.77 0.95 -100.41 864.71 1,743.53 2,620.57
3,325.95 4,157.44 4,988.93 5,820.42 1.00 -90.20 821.97 1,656.68 2,489.78
3,167.57 3,959.46 4,751.35 5,543.24 1.05 -81.44 783.26 1,578.07 2,371.42
3,023.58 3,779.47 4,535.37 5,291.26 1.10 -73.86 748.03 1,506.58 2,263.81
2,892.11 3,615.14 4,338.17 5,061.20 1.15 -67.27 715.83 1,441.29 2,165.54
2,771.60 3,464.50 4,157.41 4,850.31 1.20 -61.49 686.29 1,381.43 2,075.45
2,660.73 3,325.92 3,991.10 4,656.29 1.25 -56.41 659.09 1,326.34 1,992.55
2,558.40 3,197.99 3,837.59 4,477.19 1.30 -51.91 633.97 1,275.47 1,916.02
2,463.64 3,079.55 3,695.46 4,311.36 1.35 -47.90 610.69 1,228.36 1,845.16
2,375.65 2,969.56 3,563.47 4,157.38 1.40 -44.33 589.05 1,184.61 1,779.34
2,293.72 2,867.16 3,440.59 4,014.02 1.45 -41.13 568.90 1,143.87 1,718.06
2,217.26 2,771.58 3,325.90 3,880.21 1.50 -38.25 550.09 1,105.83 1,660.87
2,145.74 2,682.17 3,218.61 3,755.04 1.55 -35.65 532.47 1,070.25 1,607.35
2,078.68 2,598.35 3,118.02 3,637.69 1.60 -33.29 515.95 1,036.88 1,557.18
2,015.69 2,519.61 3,023.53 3,527.46 1.65 -31.15 500.43 1,005.53 1,510.05
1,956.40 2,445.50 2,934.60 3,423.71 1.70 -29.20 485.81 976.02 1,465.68
1,900.50 2,375.63 2,850.76 3,325.88 1.75 -27.42 472.02 948.19 1,423.85
1,847.71 2,309.64 2,771.57 3,233.49 1.80 -25.79 458.99 921.91 1,384.34
1,797.77 2,247.21 2,696.66 3,146.10 1.85 -24.30 446.66 897.04 1,346.96
1,750.46 2,188.08 2,625.69 3,063.31 1.90 -22.92 434.98 873.48 1,311.55
1,705.58 2,131.97 2,558.36 2,984.76 1.95 -21.65 423.89 851.13 1,277.95
1,662.93 2,078.67 2,494.40 2,910.14 2.00 -20.48 413.35 829.89 1,246.03
1,622.37 2,027.97 2,433.56 2,839.16 2.05 -19.39 403.33 809.69 1,215.67
1,583.75 1,979.68 2,375.62 2,771.56 2.10 -18.39 393.78 790.44 1,186.75
P (Pa) P (Pa)
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
Page 10
1.00
200.00
305.32
500.00
700.00
0.400.45
T
Berthelot Isotherm for Ethane
-40,000.00
-20,000.00
0.00
20,000.00
40,000.00
60,000.00
80,000.00
100,000.00
120,000.00
0.05 0.10 0.15 0.20 0.25 0.30
P
V
Redlich-Kwong Isotherm for Ethane
-60,000.00
-40,000.00
-20,000.00
0.00
20,000.00
40,000.00
60,000.00
80,000.00
0.00 0.50 1.00 1.50
P
V
Redlich-Kwong Isotherm for Ethane
2.00 2.50
Berthelot Isotherm for Ethane
1.00
100.00
200.00
300.00
305.32
400.00
Page 11
305.32 400.00 500.00 600.00 700.00
48,996.73 65,166.62 82,152.97 99,085.31 115,983.73 T 1.00 100.00 200.00
24,939.03 32,917.73 41,321.61 49,711.93 58,093.73 β
16,724.84 22,020.31 27,603.04 33,179.74 38,752.64 a 13.56906 6.033642 6.033642
12,580.81 16,543.54 20,723.14 24,899.34 29,073.40 b
10,082.53 13,248.45 16,588.55 19,926.48 23,263.04
8,412.05 11,047.95 13,829.38 16,609.30 19,388.27
7,216.43 9,474.32 11,857.18 14,238.94 16,620.00 V (m³)
6,318.37 8,293.08 10,377.29 12,460.64 14,543.47 T (K) 1.00 100.00 200.00
5,619.10 7,373.73 9,225.81 11,077.22 12,928.20 0.05 -5,173.92 14,389.35 31,153.89
5,059.18 6,637.88 8,304.35 9,970.28 11,635.87 0.10 -1,262.56 7,749.70 16,097.93
4,600.74 6,035.57 7,550.25 9,064.47 10,578.42 0.15 -544.26 5,291.24 10,849.21
4,218.48 5,533.47 6,921.70 8,309.55 9,697.16 0.20 -296.20 4,015.43 8,181.08
3,894.87 5,108.49 6,389.76 7,670.70 8,951.44 0.25 -183.09 3,234.95 6,566.13
3,617.37 4,744.13 5,933.74 7,123.07 8,312.23 0.30 -122.61 2,708.37 5,483.60
3,376.78 4,428.29 5,538.48 6,648.42 7,758.22 0.35 -86.73 2,329.17 4,707.48
3,166.20 4,151.88 5,192.59 6,233.08 7,273.44 0.40 -63.83 2,043.09 4,123.81
2,980.34 3,907.95 4,887.36 5,866.58 6,845.69 0.45 -48.39 1,819.58 3,668.90
2,815.09 3,691.09 4,616.02 5,540.79 6,465.45 0.50 -37.55 1,640.14 3,304.39
2,667.20 3,497.03 4,373.23 5,249.28 6,125.23 0.55 -29.66 1,492.92 3,005.75
2,534.08 3,322.36 4,154.70 4,986.91 5,819.03 0.60 -23.77 1,369.94 2,756.62
2,413.61 3,164.31 3,956.97 4,749.52 5,541.98 0.65 -19.28 1,265.68 2,545.63
2,304.08 3,020.61 3,777.21 4,533.70 5,290.12 0.70 -15.78 1,176.17 2,364.64
2,204.06 2,889.40 3,613.07 4,336.64 5,060.15 0.75 -13.00 1,098.48 2,207.67
2,112.36 2,769.11 3,462.60 4,156.00 4,849.34 0.80 -10.78 1,030.42 2,070.25
2,027.98 2,658.44 3,324.17 3,989.81 4,655.40 0.85 -8.98 970.30 1,948.93
1,950.09 2,556.27 3,196.37 3,836.40 4,476.37 0.90 -7.49 916.80 1,841.05
1,877.96 2,461.67 3,078.04 3,694.35 4,310.60 0.95 -6.27 868.90 1,744.48
1,810.97 2,373.81 2,968.16 3,562.44 4,156.67 1.00 -5.24 825.75 1,657.54
1,748.60 2,292.02 2,865.85 3,439.63 4,013.36 1.05 -4.38 786.69 1,578.85
1,690.39 2,215.67 2,770.36 3,325.00 3,879.60 1.10 -3.64 751.16 1,507.30
1,635.92 2,144.24 2,681.03 3,217.77 3,754.46 1.15 -3.02 718.69 1,441.94
1,584.85 2,077.28 2,597.28 3,117.23 3,637.15 1.20 -2.49 688.92 1,382.03
1,536.88 2,014.37 2,518.61 3,022.79 3,526.95 1.25 -2.02 661.51 1,326.89
1,491.72 1,955.16 2,444.56 2,933.91 3,423.22 1.30 -1.63 636.21 1,275.98
1,449.15 1,899.33 2,374.74 2,850.10 3,325.43 1.35 -1.28 612.76 1,228.83
1,408.93 1,846.60 2,308.79 2,770.94 3,233.07 1.40 -0.98 590.99 1,185.05
1,370.89 1,796.72 2,246.41 2,696.07 3,145.69 1.45 -0.71 570.70 1,144.28
1,334.85 1,749.47 2,187.32 2,625.13 3,062.92 1.50 -0.48 551.77 1,106.22
1,300.65 1,704.63 2,131.25 2,557.83 2,984.39 1.55 -0.28 534.05 1,070.60
1,268.16 1,662.04 2,077.98 2,493.90 2,909.79 1.60 -0.10 517.43 1,037.22
1,237.26 1,621.52 2,027.32 2,433.08 2,838.83 1.65 0.06 501.82 1,005.85
1,207.83 1,582.93 1,979.06 2,375.16 2,771.24 1.70 0.20 487.12 976.32
0.52996309
0.000404413
Table 7. a, b, and β Values of T
P (Pa)
Peng-Robinson
P (Pa)
Table 6. Redlich-Kwong Equation
Table 7. Peng-Robinson Equation
Page 12
1.00
200.00
305.32
500.00
700.00
0.30 0.35 0.40 0.45
T
Kwong Isotherm for Ethane
1.50 2.00 2.50
Kwong Isotherm for Ethane
1.00
100.00
200.00
300.00
305.32
400.00
-20,000.00
0.00
20,000.00
40,000.00
60,000.00
80,000.00
100,000.00
120,000.00
0.05 0.10 0.15 0.20 0.25
P
Peng-Robinson Isotherm for Ethane
-10,000.00
0.00
10,000.00
20,000.00
30,000.00
40,000.00
50,000.00
60,000.00
70,000.00
0.00 0.20 0.40 0.60 0.80
P
Peng-Robinson Isotherm for Ethane
Page 13
300.00 305.32 400.00 500.00 600.00 700.00
6.033642 6.033642 6.033642 6.033642 6.033642 6.0336421
300.00 305.32 400.00 500.00 600.00 700.00
47,918.43 48,810.30 64,682.97 81,447.51 98,212.05 114,976.59
24,446.17 24,890.29 32,794.40 41,142.63 49,490.87 57,839.10
16,407.17 16,702.86 21,965.14 27,523.10 33,081.07 38,639.04
12,346.74 12,568.36 16,512.40 20,678.06 24,843.72 29,009.38
9,897.31 10,074.52 13,228.48 16,559.66 19,890.84 23,222.02
8,258.84 8,406.48 11,034.07 13,809.30 16,584.53 19,359.76
7,085.79 7,212.32 9,464.11 11,842.42 14,220.73 16,599.04
6,204.53 6,315.23 8,285.25 10,365.97 12,446.70 14,527.42
5,518.22 5,616.61 7,367.55 9,216.87 11,066.19 12,915.51
4,968.63 5,057.16 6,632.87 8,297.11 9,961.35 11,625.59
4,518.59 4,599.07 6,031.42 7,544.26 9,057.09 10,569.93
4,143.30 4,217.07 5,529.98 6,916.66 8,303.34 9,690.02
3,825.57 3,893.67 5,105.52 6,385.47 7,665.41 8,945.36
3,553.11 3,616.33 4,741.57 5,930.04 7,118.51 8,306.98
3,316.87 3,375.88 4,426.06 5,535.26 6,644.45 7,753.65
3,110.09 3,165.41 4,149.92 5,189.76 6,229.59 7,269.42
2,927.57 2,979.64 3,906.21 4,884.85 5,863.49 6,842.13
2,765.29 2,814.46 3,689.54 4,613.79 5,538.03 6,462.28
2,620.06 2,666.64 3,495.64 4,371.22 5,246.80 6,122.38
2,489.32 2,533.57 3,321.11 4,152.89 4,984.67 5,816.46
2,371.01 2,413.15 3,163.17 3,955.33 4,747.49 5,539.65
2,263.43 2,303.66 3,019.57 3,775.71 4,531.85 5,287.99
2,165.20 2,203.67 2,888.45 3,611.70 4,334.95 5,058.20
2,075.13 2,112.00 2,768.24 3,461.34 4,154.45 4,847.56
1,992.26 2,027.66 2,657.63 3,323.01 3,988.38 4,653.75
1,915.75 1,949.79 2,555.53 3,195.30 3,835.07 4,474.85
1,844.91 1,877.68 2,460.98 3,077.05 3,693.12 4,309.19
1,779.11 1,810.71 2,373.17 2,967.24 3,561.30 4,155.36
1,717.85 1,748.36 2,291.42 2,864.99 3,438.56 4,012.13
1,660.66 1,690.16 2,215.11 2,769.56 3,324.01 3,878.45
1,607.16 1,635.71 2,143.72 2,680.28 3,216.84 3,753.39
1,557.00 1,584.65 2,076.79 2,596.57 3,116.36 3,636.15
1,509.88 1,536.69 2,013.91 2,517.94 3,021.97 3,526.00
1,465.52 1,491.55 1,954.73 2,443.93 2,933.13 3,422.33
0.52996309
0.000404413
Table 7. a, b, and β Values of T
Peng-Robinson
P (Pa)
Table 7. Peng-Robinson Equation
Page 14
1.00
200.00
305.32
500.00
700.00
0.25 0.30 0.35 0.400.45
T
V
Robinson Isotherm for Ethane
0.80 1.00 1.20 1.40 1.60 1.80
V
Robinson Isotherm for Ethane
1.00
100.00
200.00
300.00
305.32
400.00
Page 15
a
b
0.0126355
V (m³)
T (K) 1.00 10.00 30.00 44.40 55.00 70.00
1.00E-05 ######## 8,314,472.00 24,943,416.00 36,916,255.68 ########### ###########
2.00E-05 ######## 4,157,236.00 12,471,708.00 18,458,127.84 ########### ###########
3.00E-05 ######## 2,771,490.67 8,314,472.00 12,305,418.56 ########### ###########
4.00E-05 ######## 2,078,618.00 6,235,854.00 9,229,063.92 ########### ###########
5.00E-05 ######## 1,662,894.40 4,988,683.20 7,383,251.14 9,145,919.20 ###########
6.00E-05 ######## 1,385,745.33 4,157,236.00 6,152,709.28 7,621,599.33 9,700,217.33
7.00E-05 ######## 1,187,781.71 3,563,345.14 5,273,750.81 6,532,799.43 8,314,472.00
8.00E-05 ######## 1,039,309.00 3,117,927.00 4,614,531.96 5,716,199.50 7,275,163.00
9.00E-05 92,383.02 923,830.22 2,771,490.67 4,101,806.19 5,081,066.22 6,466,811.56
1.00E-04 83,144.72 831,447.20 2,494,341.60 3,691,625.57 4,572,959.60 5,820,130.40
1.10E-04 75,586.11 755,861.09 2,267,583.27 3,356,023.24 4,157,236.00 5,291,027.64
1.20E-04 69,287.27 692,872.67 2,078,618.00 3,076,354.64 3,810,799.67 4,850,108.67
1.30E-04 63,957.48 639,574.77 1,918,724.31 2,839,711.98 3,517,661.23 4,477,023.38
1.40E-04 59,389.09 593,890.86 1,781,672.57 2,636,875.41 3,266,399.71 4,157,236.00
1.50E-04 55,429.81 554,298.13 1,662,894.40 2,461,083.71 3,048,639.73 3,880,086.93
1.60E-04 51,965.45 519,654.50 1,558,963.50 2,307,265.98 2,858,099.75 3,637,581.50
1.70E-04 48,908.66 489,086.59 1,467,259.76 2,171,544.45 2,689,976.24 3,423,606.12
1.80E-04 46,191.51 461,915.11 1,385,745.33 2,050,903.09 2,540,533.11 3,233,405.78
1.90E-04 43,760.38 437,603.79 1,312,811.37 1,942,960.83 2,406,820.84 3,063,226.53
2.00E-04 41,572.36 415,723.60 1,247,170.80 1,845,812.78 2,286,479.80 2,910,065.20
2.10E-04 39,592.72 395,927.24 1,187,781.71 1,757,916.94 2,177,599.81 2,771,490.67
2.20E-04 37,793.05 377,930.55 1,133,791.64 1,678,011.62 2,078,618.00 2,645,513.82
2.30E-04 36,149.88 361,498.78 1,084,496.35 1,605,054.59 1,988,243.30 2,530,491.48
2.40E-04 34,643.63 346,436.33 1,039,309.00 1,538,177.32 1,905,399.83 2,425,054.33
2.50E-04 33,257.89 332,578.88 997,736.64 1,476,650.23 1,829,183.84 2,328,052.16
2.60E-04 31,978.74 319,787.38 959,362.15 1,419,855.99 1,758,830.62 2,238,511.69
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Gas: Neon, Ne Group Number: 2
Critical Temperature (K): 44.4
Name of Members:
Banda, Marybeth Hope T.
Acentric Factor: 0
Critical Volume (m³/mol): 3.91E-05 Bautista, Rajane Faith T.
Critical Pressure (Pa): 2756000 Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
R (J/mol-K): 8.314472 Date Prepared: 24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Van der Waals Berthelot Dieterici Redlich-Kwong
Table 2. Ideal Gas Equation
P (Pa)
0.012635482 0.436617098 0.028863122 0.140852189
1.30309E-05 1.30309E-05 1.95464E-05 1.16054E-05
Ideal Gas Isotherm
Page 16
0.00
10,000,000.00
20,000,000.00
30,000,000.00
40,000,000.00
50,000,000.00
60,000,000.00
1.00E-05 2.00E-05 3.00E-05 4.00E-05 5.00E-05 6.00E-05
P
V
Ideal Gas Isotherm
Page 17
V (m³)
T (K) 1.00 10.00 30.00
1.00E-05 ########## ########### ###########
2.00E-05 ########## ########### 4,202,740.97
3.00E-05 ########## ########### 659,891.76
4.00E-05 ########## ########### 1,351,711.03
5.00E-05 ########## ########### 1,692,905.86
6.00E-05 ########## ########### 1,800,745.21
7.00E-05 ########## ########### 1,799,741.73
8.00E-05 ########## -732,755.45 1,750,321.67
9.00E-05 ########## -479,700.95 1,680,769.16
1.00E-04 ########## -307,522.17 1,604,529.81
1.10E-04 -958,511.16 -186,819.48 1,528,050.93
1.20E-04 -799,736.21 -100,186.08 1,454,369.77
1.30E-04 -676,579.00 -36,835.27 1,384,817.45
1.40E-04 -579,183.21 10,174.73 1,319,859.06
1.50E-04 -500,873.69 45,455.72 1,259,521.08
80.00 90.00 100.00 1.60E-04 -437,000.58 72,155.76 1,203,614.27
66,515,776.00 ########### 83,144,720.00 1.70E-04 -384,245.05 92,474.56 1,151,851.47
33,257,888.00 ########### 41,572,360.00 1.80E-04 -340,187.53 107,980.71 1,103,910.14
22,171,925.33 ########### 27,714,906.67 1.90E-04 -303,030.72 119,812.86 1,059,465.26
16,628,944.00 ########### 20,786,180.00 2.00E-04 -271,417.28 128,810.61 1,018,205.92
13,303,155.20 ########### 16,628,944.00 2.10E-04 -244,306.80 135,601.77 979,843.02
11,085,962.67 ########### 13,857,453.33 2.20E-04 -220,891.14 140,661.61 944,112.17
9,502,253.71 ########### 11,877,817.14 2.30E-04 -200,534.99 144,353.97 910,773.89
8,314,472.00 9,353,781.00 10,393,090.00 2.40E-04 -182,733.38 146,960.16 879,612.49
7,390,641.78 8,314,472.00 9,238,302.22 2.50E-04 -167,080.97 148,699.64 850,434.34
6,651,577.60 7,483,024.80 8,314,472.00 2.60E-04 -153,249.37 149,745.01 823,065.84
6,046,888.73 6,802,749.82 7,558,610.91 2.70E-04 -140,970.30 150,232.99 797,351.42
5,542,981.33 6,235,854.00 6,928,726.67 2.80E-04 -130,022.91 150,272.63 773,151.61
5,116,598.15 5,756,172.92 6,395,747.69 2.90E-04 -120,224.05 149,951.39 750,341.26
4,751,126.86 5,345,017.71 5,938,908.57 3.00E-04 -111,420.84 149,339.81 728,807.91
4,434,385.07 4,988,683.20 5,542,981.33 3.10E-04 -103,484.87 148,495.04 708,450.40
4,157,236.00 4,676,890.50 5,196,545.00 3.20E-04 -96,307.68 147,463.59 689,177.53
3,912,692.71 4,401,779.29 4,890,865.88 3.30E-04 -89,797.12 146,283.45 670,906.96
3,695,320.89 4,157,236.00 4,619,151.11 3.40E-04 -83,874.55 144,985.75 653,564.21
3,500,830.32 3,938,434.11 4,376,037.89 3.50E-04 -78,472.50 143,596.07 637,081.80
3,325,788.80 3,741,512.40 4,157,236.00 3.60E-04 -73,532.85 142,135.48 621,398.45
3,167,417.90 3,563,345.14 3,959,272.38 3.70E-04 -69,005.31 140,621.37 606,458.44
3,023,444.36 3,401,374.91 3,779,305.45 3.80E-04 -64,846.19 139,068.11 592,211.01
2,891,990.26 3,253,489.04 3,614,987.83 3.90E-04 -61,017.40 137,487.59 578,609.79
2,771,490.67 3,117,927.00 3,464,363.33 4.00E-04 -57,485.62 135,889.63 565,612.42
2,660,631.04 2,993,209.92 3,325,788.80 4.10E-04 -54,221.57 134,282.39 553,180.08
2,558,299.08 2,878,086.46 3,197,873.85 4.20E-04 -51,199.49 132,672.58 541,277.16
Experiment 1 Table 3. Van der Waals Equation
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State P (Pa)
2
Banda, Marybeth Hope T.
Bautista, Rajane Faith T.
Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Redlich-Kwong Peng-Robinson
Table 2. Ideal Gas Equation
P (Pa)
0.140852189 a(T)
1.16054E-05 1.04212E-05
Van der Waals Isotherm for Ethane
Page 18
6.00E-05 7.00E-05
1.00
10.00
30.00
44.40
55.00
70.00
80.00
90.00
100.00
-5,000,000.00
15,000,000.00
35,000,000.00
55,000,000.00
75,000,000.00
95,000,000.00
2.45E-05 2.65E-05 2.85E-05
P
Van der Waals Isotherm for Ethane
Page 19
V (m³)
44.40 55.00 70.00 80.00 90.00 100.00 T (K)
############ ############ ############ ############ ############# ############# 1.00E-05
21,382,634.61 34,028,945.21 51,924,667.76 63,855,149.46 75,785,631.15 87,716,112.85 2.00E-05
7,715,563.35 12,909,321.61 20,258,979.51 25,158,751.45 30,058,523.39 34,958,295.33 3.00E-05
5,791,176.82 9,059,116.91 13,683,560.44 16,766,522.79 19,849,485.15 22,932,447.50 4.00E-05
4,931,513.15 7,315,487.97 10,689,037.23 12,938,070.07 15,187,102.91 17,436,135.75 5.00E-05
4,349,833.80 6,226,246.23 8,881,546.84 10,651,747.25 12,421,947.66 14,192,148.07 6.00E-05
3,901,379.23 5,448,417.94 7,637,623.67 9,097,094.15 10,556,564.64 12,016,035.12 7.00E-05
3,538,137.20 4,854,168.07 6,716,475.91 7,958,014.47 9,199,553.04 10,441,091.60 8.00E-05
3,236,307.64 4,381,356.80 6,001,709.38 7,081,944.44 8,162,179.49 9,242,414.55 9.00E-05
2,981,207.23 3,994,594.78 5,428,633.77 6,384,659.76 7,340,685.75 8,296,711.74 1.00E-04
2,762,757.62 3,671,638.94 4,957,791.74 5,815,226.95 6,672,662.15 7,530,097.35 1.10E-04
2,573,649.98 3,397,564.58 4,563,481.47 5,340,759.39 6,118,037.31 6,895,315.24 1.20E-04
2,408,407.42 3,161,883.36 4,228,122.91 4,938,949.27 5,649,775.64 6,360,602.00 1.30E-04
2,262,831.77 2,956,964.46 3,939,227.71 4,594,069.87 5,248,912.03 5,903,754.19 1.40E-04
2,133,648.14 2,777,102.78 3,687,651.81 4,294,684.49 4,901,717.17 5,508,749.85 1.50E-04
2,018,264.41 2,617,937.42 3,466,531.31 4,032,260.57 4,597,989.83 5,163,719.09 1.60E-04
1,914,602.84 2,476,072.60 3,270,605.28 3,800,293.74 4,329,982.19 4,859,670.65 1.70E-04
1,820,979.33 2,348,821.92 3,095,768.99 3,593,733.70 4,091,698.42 4,589,663.13 1.80E-04
1,736,014.99 2,234,030.77 2,938,770.07 3,408,596.27 3,878,422.47 4,348,248.67 1.90E-04
1,658,570.54 2,129,950.05 2,796,996.53 3,241,694.18 3,686,391.84 4,131,089.49 2.00E-04
1,587,696.73 2,035,144.59 2,668,325.53 3,090,446.16 3,512,566.79 3,934,687.41 2.10E-04
1,522,596.58 1,948,425.38 2,551,013.30 2,952,738.58 3,354,463.86 3,756,189.15 2.20E-04
1,462,596.23 1,868,798.79 2,443,613.73 2,826,823.69 3,210,033.65 3,593,243.61 2.30E-04
1,407,122.17 1,795,427.91 2,344,917.15 2,711,243.32 3,077,569.49 3,443,895.65 2.40E-04
1,355,683.32 1,727,602.72 2,253,903.74 2,604,771.09 2,955,638.44 3,306,505.79 2.50E-04
1,307,856.84 1,664,716.88 2,169,707.50 2,506,367.92 2,843,028.34 3,179,688.75 2.60E-04
1,263,276.69 1,606,249.45 2,091,588.27 2,415,147.49 2,738,706.70 3,062,265.92 2.70E-04
1,221,624.47 1,551,750.33 2,018,909.56 2,330,349.05 2,641,788.54 2,953,228.03 2.80E-04
1,182,621.96 1,500,828.58 1,951,120.98 2,251,315.91 2,551,510.84 2,851,705.78 2.90E-04
1,146,024.95 1,453,143.04 1,887,744.12 2,177,478.17 2,467,212.22 2,756,946.27 3.00E-04
1,111,618.26 1,408,394.61 1,828,361.13 2,108,338.81 2,388,316.49 2,668,294.17 3.10E-04
1,079,211.57 1,366,319.95 1,772,605.41 2,043,462.38 2,314,319.35 2,585,176.31 3.20E-04
1,048,635.88 1,326,686.34 1,720,153.97 1,982,465.72 2,244,777.47 2,507,089.22 3.30E-04
1,019,740.70 1,289,287.28 1,670,721.12 1,925,010.35 2,179,299.58 2,433,588.80 3.40E-04
992,391.52 1,253,938.95 1,624,053.24 1,870,796.10 2,117,538.97 2,364,281.83 3.50E-04
966,467.78 1,220,477.16 1,579,924.38 1,819,555.86 2,059,187.35 2,298,818.83 3.60E-04
941,861.13 1,188,754.78 1,538,132.59 1,771,051.12 2,003,969.66 2,236,888.19 3.70E-04
918,473.89 1,158,639.62 1,498,496.79 1,725,068.24 1,951,639.69 2,178,211.13 3.80E-04
896,217.78 1,130,012.54 1,460,854.20 1,681,415.30 1,901,976.40 2,122,537.50 3.90E-04
875,012.83 1,102,765.90 1,425,057.99 1,639,919.39 1,854,780.78 2,069,642.17 4.00E-04
854,786.42 1,076,802.20 1,390,975.47 1,600,424.31 1,809,873.16 2,019,322.00 4.10E-04
835,472.46 1,052,032.89 1,358,486.33 1,562,788.62 1,767,090.92 1,971,393.21 4.20E-04
Table 3. Van der Waals Equation Table 4. Dieterici Equation
P (Pa)
Van der Waals Isotherm for Ethane
Page 20
2.85E-05 3.05E-05 3.25E-05 3.45E-05 3.65E-05 3.85E-05
V
Van der Waals Isotherm for Ethane
1.00
10.00
30.00
44.40
55.00
70.00
80.00
90.00
100.00
-5,000.00
49,995,000.00
99,995,000.00
149,995,000.00
199,995,000.00
249,995,000.00
P
Page 21
1.00 10.00 30.00 44.40 55.00 70.00 80.00 90.00
0.00 0.00 -246.44 -15,553.62 -86,941.29 -427,904.92 -908,987.14 -1,656,160.55
0.00 5.31 1,688,608.30 16,320,082.16 ########### ########### ########### 239,765,984.87
0.00 75.02 504,139.33 2,606,754.29 5,336,028.02 ########### ########### 19,789,284.71
0.00 691.84 675,821.59 2,555,992.83 4,614,695.65 8,236,161.89 ########### 13,948,323.62
0.00 2,636.02 809,532.22 2,537,865.12 4,249,435.36 7,088,327.04 9,170,212.41 11,360,837.63
0.00 6,312.06 896,250.72 2,479,334.57 3,948,062.31 6,295,308.08 7,977,718.12 9,725,902.37
0.00 11,566.29 946,558.18 2,394,675.43 3,678,868.07 5,680,176.46 7,092,732.19 8,548,290.09
0.00 17,942.48 971,307.80 2,298,007.92 3,436,632.53 5,179,545.80 6,396,404.77 7,642,975.77
0.00 24,934.10 978,753.44 2,198,016.51 3,219,018.19 4,761,281.68 5,829,468.90 6,919,063.39
0.00 32,111.85 974,695.49 2,099,505.49 3,023,696.66 4,405,671.94 5,357,053.12 6,324,376.16
0.00 39,159.90 963,106.20 2,004,958.08 2,848,244.55 4,099,315.44 4,956,529.50 5,825,938.16
0.00 45,868.64 946,685.79 1,915,532.50 2,690,319.23 3,832,551.39 4,612,270.92 5,401,528.60
0.00 52,112.76 927,268.89 1,831,645.88 2,547,773.62 3,598,153.72 4,313,013.10 5,035,474.37
0.00 57,828.33 906,103.80 1,753,309.08 2,418,700.64 3,390,576.92 4,050,376.95 4,716,333.95
0.00 62,993.54 884,040.61 1,680,318.05 2,301,435.82 3,205,481.50 3,817,975.37 4,435,525.94
0.00 67,614.04 861,657.43 1,612,362.97 2,194,539.82 3,039,417.99 3,610,842.40 4,186,470.81
0.00 71,712.44 839,345.41 1,549,090.37 2,096,773.24 2,889,607.95 3,425,052.66 3,964,030.27
0.00 75,321.05 817,366.37 1,490,137.85 2,007,070.12 2,753,787.62 3,257,459.12 3,764,128.10
0.00 78,476.97 795,892.20 1,435,153.14 1,924,513.02 2,630,093.86 3,105,507.55 3,583,486.34
0.00 81,218.91 775,032.03 1,383,803.85 1,848,310.78 2,516,979.28 2,967,102.25 3,419,437.29
0.00 83,585.19 754,851.09 1,335,781.87 1,777,779.43 2,413,148.13 2,840,506.96 3,269,786.80
0.01 85,612.51 735,383.93 1,290,804.74 1,712,325.80 2,317,507.28 2,724,270.69 3,132,712.98
0.01 87,335.27 716,643.70 1,248,615.23 1,651,433.79 2,229,128.13 2,617,171.19 3,006,690.06
0.02 88,785.26 698,628.76 1,208,980.10 1,594,652.86 2,147,216.91 2,518,171.49 2,890,430.29
0.03 89,991.53 681,327.39 1,171,688.33 1,541,588.34 2,071,091.09 2,426,385.98 2,782,839.11
0.05 90,980.44 664,721.11 1,136,549.20 1,491,893.30 2,000,160.64 2,341,053.73 2,682,980.09
0.09 91,775.80 648,787.07 1,103,390.43 1,445,261.79 1,933,912.86 2,261,517.25 2,590,047.29
0.13 92,398.99 633,499.79 1,072,056.31 1,401,423.12 1,871,900.21 2,187,205.49 2,503,343.24
0.19 92,869.18 618,832.35 1,042,406.02 1,360,137.01 1,813,730.24 2,117,620.03 2,422,261.24
0.28 93,203.53 604,757.26 1,014,312.06 1,321,189.57 1,759,057.42 2,052,323.95 2,346,271.01
0.39 93,417.37 591,247.10 987,658.89 1,284,389.81 1,707,576.35 1,990,932.55 2,274,907.05
0.54 93,524.37 578,274.86 962,341.60 1,249,566.71 1,659,016.11 1,933,105.82 2,207,758.96
0.72 93,536.74 565,814.33 938,264.87 1,216,566.71 1,613,135.51 1,878,542.11 2,144,463.58
0.95 93,465.37 553,840.19 915,341.90 1,185,251.62 1,569,719.16 1,826,972.87 2,084,698.31
1.24 93,319.95 542,328.18 893,493.53 1,155,496.67 1,528,574.12 1,778,158.24 2,028,175.64
1.58 93,109.14 531,255.15 872,647.50 1,127,189.05 1,489,527.02 1,731,883.30 1,974,638.48
2.00 92,840.66 520,599.07 852,737.71 1,100,226.44 1,452,421.67 1,687,954.92 1,923,856.23
2.49 92,521.40 510,339.06 833,703.59 1,074,515.87 1,417,116.99 1,646,199.07 1,875,621.46
3.06 92,157.49 500,455.34 815,489.58 1,049,972.69 1,383,485.23 1,606,458.51 1,829,747.09
3.72 91,754.42 490,929.21 798,044.61 1,026,519.64 1,351,410.40 1,568,590.82 1,786,063.91
4.48 91,317.10 481,743.00 781,321.72 1,004,086.09 1,320,787.00 1,532,466.68 1,744,418.52
5.34 90,849.89 472,880.06 765,277.58 982,607.36 1,291,518.83 1,497,968.41 1,704,671.52
Table 4. Dieterici Equation
P (Pa)
Dieterici Isotherm for Ethane
Page 22
-5,000.00
49,995,000.00
99,995,000.00
149,995,000.00
199,995,000.00
249,995,000.00
2.40E-05 2.50E-05 2.60E-05 2.70E-05 2.80E-05 2.90E-05 3.00E-05 3.10E-05 3.20E-05 3.30E-05
V
Dieterici Isotherm for Ethane
Page 23
V (m³)
100.00 T (K) 1.00 10.00 30.00 44.40 55.00
-2,706,285.84 1.00E-05 ############# ############ ########### ########### ############
############ 2.00E-05 ############# ############ -593,313.05 ########### 45,771,417.62
25,004,921.79 3.00E-05 -484,640,131.40 ############ -1,471,687.80 ########### 18,128,198.23
17,067,029.56 4.00E-05 -272,577,389.85 ############ 152,697.52 7,542,278.84 11,994,735.01
13,635,485.05 5.00E-05 -174,421,935.81 ############ 925,537.22 6,052,218.45 9,194,283.55
11,524,082.34 6.00E-05 -121,105,507.11 ############ 1,267,850.32 5,128,101.36 7,530,965.39
10,036,153.08 7.00E-05 -88,959,583.10 -7,451,082.53 1,408,227.12 4,473,167.64 6,406,987.12
8,911,671.94 8.00E-05 -68,097,267.67 -5,580,603.59 1,450,568.30 3,975,912.71 5,588,072.60
8,024,489.96 9.00E-05 -53,795,321.89 -4,310,099.48 1,443,926.99 3,582,204.34 4,961,231.98
7,303,424.73 1.00E-04 -43,566,107.17 -3,410,144.99 1,412,687.65 3,261,383.56 4,464,293.68
6,704,275.97 1.10E-04 -35,998,314.14 -2,750,970.56 1,369,503.69 2,994,308.30 4,059,819.84
6,197,744.22 1.20E-04 -30,242,903.99 -2,254,785.25 1,321,146.05 2,768,216.87 3,723,744.37
5,763,463.57 1.30E-04 -25,764,248.59 -1,872,706.76 1,271,301.38 2,574,192.22 3,439,811.70
5,386,756.03 1.40E-04 -22,210,898.32 -1,572,796.09 1,221,980.40 2,405,778.87 3,196,606.76
5,056,735.02 1.50E-04 -19,344,501.08 -1,333,487.75 1,174,257.90 2,258,170.95 2,985,857.85
4,765,134.54 1.60E-04 -16,998,782.45 -1,139,806.28 1,128,675.93 2,127,708.28 2,801,413.55
4,505,554.03 1.70E-04 -15,054,889.21 -981,097.35 1,085,470.10 2,011,549.67 2,638,598.17
4,272,953.87 1.80E-04 -13,426,039.88 -849,618.92 1,044,699.59 1,907,453.50 2,493,790.72
4,063,308.12 1.90E-04 -12,047,673.83 -739,639.44 1,006,323.39 1,813,626.16 2,364,141.26
3,873,359.63 2.00E-04 -10,870,957.68 -646,845.09 970,245.38 1,728,614.62 2,247,374.78
3,700,443.45 2.10E-04 -9,858,402.40 -567,940.82 936,341.40 1,651,228.77 2,141,652.28
3,542,357.25 2.20E-04 -8,980,841.89 -500,376.16 904,475.36 1,580,484.25 2,045,470.61
3,397,264.48 2.30E-04 -8,215,310.34 -442,153.17 874,508.83 1,515,559.62 1,957,588.75
3,263,621.08 2.40E-04 -7,543,525.33 -391,689.63 846,306.56 1,455,763.89 1,876,972.85
3,140,119.22 2.50E-04 -6,950,786.83 -347,720.01 819,739.60 1,400,511.54 1,802,754.54
3,025,643.64 2.60E-04 -6,425,166.77 -309,222.86 794,686.82 1,349,303.04 1,734,198.97
2,919,237.28 2.70E-04 -5,956,904.68 -275,366.85 771,035.62 1,301,709.65 1,670,680.03
2,820,074.13 2.80E-04 -5,537,951.69 -245,470.07 748,681.94 1,257,361.25 1,611,660.90
2,727,437.49 2.90E-04 -5,161,622.57 -218,969.28 727,530.06 1,215,936.62 1,556,678.63
2,640,702.38 3.00E-04 -4,822,327.68 -195,396.06 707,492.12 1,177,155.65 1,505,331.81
2,559,321.33 3.10E-04 -4,515,364.33 -174,358.53 688,487.64 1,140,772.93 1,457,270.66
2,482,812.66 3.20E-04 -4,236,753.15 -155,526.92 670,442.95 1,106,572.54 1,412,188.99
2,410,750.91 3.30E-04 -3,983,108.57 -138,622.22 653,290.60 1,074,363.73 1,369,817.55
2,342,758.81 3.40E-04 -3,751,535.59 -123,407.22 636,968.87 1,043,977.40 1,329,918.67
2,278,500.67 3.50E-04 -3,539,546.92 -109,679.26 621,421.21 1,015,263.05 1,292,281.72
2,217,676.76 3.60E-04 -3,344,995.94 -97,264.43 606,595.81 988,086.33 1,256,719.36
2,160,018.66 3.70E-04 -3,166,022.23 -86,012.87 592,445.14 962,326.90 1,223,064.42
2,105,285.22 3.80E-04 -3,001,006.97 -75,794.96 578,925.54 937,876.68 1,191,167.25
2,053,259.21 3.90E-04 -2,848,536.25 -66,498.13 565,996.89 914,638.31 1,160,893.47
2,003,744.43 4.00E-04 -2,707,370.72 -58,024.29 553,622.28 892,523.85 1,132,122.08
1,956,563.19 4.10E-04 -2,576,420.36 -50,287.68 541,767.70 871,453.66 1,104,743.83
1,911,554.20 4.20E-04 -2,454,723.39 -43,213.07 530,401.76 851,355.47 1,078,659.81
Table 4. Dieterici Equation Table 5. Berthelot Equation
P (Pa) P (Pa)
Berthelot Isotherm for Ethane
Page 24
3.30E-05
1.00
10.00
30.00
44.40
55.00
70.00
80.00
90.00
100.00-20,000,000.00
-10,000,000.00
0.00
10,000,000.00
20,000,000.00
30,000,000.00
40,000,000.00
50,000,000.00
5.58E-06 5.56E-05 1.06E-04 1.56E-04 2.06E-04 2.56E-04
P
V
Berthelot Isotherm for Ethane
Page 25
V (m³)
70.00 80.00 90.00 100.00 T (K) 1.00 10.00
########### ############ ############ ############ 1.00E-05 ########### ###########
67,919,904.11 81,799,569.28 95,246,082.57 ############ 2.00E-05 ########### ###########
27,367,973.45 33,134,049.15 38,707,612.91 43,607,384.84 3.00E-05 ########### ###########
17,682,369.53 21,252,627.75 24,714,598.00 27,797,560.35 4.00E-05 ########### ###########
13,248,275.04 15,809,177.24 18,300,775.13 20,549,807.98 5.00E-05 ########### ###########
10,658,795.33 12,645,571.68 14,584,220.04 16,354,420.45 6.00E-05 ########### -8,649,271.04
8,943,357.25 10,561,944.75 12,145,172.92 13,604,643.40 7.00E-05 ########### -6,373,505.56
7,716,178.19 9,079,540.71 10,415,831.25 11,657,369.81 8.00E-05 ########### -4,862,227.11
6,791,597.60 7,968,088.63 9,123,189.44 10,203,424.49 9.00E-05 ########### -3,810,254.90
6,068,443.22 7,102,436.55 8,119,103.81 9,075,129.80 1.00E-04 ########### -3,050,362.60
5,486,559.89 6,408,430.91 7,315,982.86 8,173,418.06 1.10E-04 ########### -2,484,787.66
5,007,793.59 5,839,215.50 6,658,605.41 7,435,883.33 1.20E-04 ########### -2,053,331.82
4,606,708.38 5,363,669.27 6,110,378.04 6,821,204.40 1.30E-04 ########### -1,717,315.56
4,265,661.10 4,960,282.52 5,646,064.10 6,300,906.26 1.40E-04 ########### -1,450,986.57
3,972,011.56 4,613,696.39 5,247,680.75 5,854,713.43 1.50E-04 ########### -1,236,674.52
3,716,456.88 4,312,642.13 4,902,059.38 5,467,788.64 1.60E-04 ########### -1,061,936.64
3,491,992.64 4,048,659.41 4,599,331.00 5,129,019.46 1.70E-04 ########### -917,811.87
3,293,241.04 3,815,269.75 4,331,950.90 4,829,915.62 1.80E-04 ########### -797,718.17
3,116,002.60 3,607,426.40 4,094,050.74 4,563,876.94 1.90E-04 ########### -696,735.92
2,956,948.89 3,421,138.38 3,880,996.35 4,325,694.01 2.00E-04 ########### -611,130.52
2,813,407.04 3,253,207.34 3,689,078.82 4,111,199.44 2.10E-04 ########### -538,027.29
2,683,205.34 3,101,039.57 3,515,294.04 3,917,019.32 2.20E-04 ########### -475,185.53
2,564,560.70 2,962,509.28 3,357,182.62 3,740,392.58 2.30E-04 ########### -420,838.77
2,455,995.19 2,835,857.35 3,212,711.51 3,579,037.67 2.40E-04 ########### -373,579.92
2,356,273.25 2,719,615.38 3,080,185.33 3,431,052.68 2.50E-04 ########### -332,277.54
2,264,353.87 2,612,547.92 2,958,178.94 3,294,839.35 2.60E-04 ########### -296,013.92
2,179,353.63 2,513,607.95 2,845,485.59 3,169,044.80 2.70E-04 ########### -264,038.72
2,100,517.91 2,421,902.21 2,741,076.56 3,052,516.05 2.80E-04 ########### -235,733.91
2,027,198.21 2,336,663.93 2,644,069.47 2,944,264.40 2.90E-04 ########### -210,586.97
1,958,834.06 2,257,231.15 2,553,703.12 2,843,437.17 3.00E-04 ########### -188,170.15
1,894,938.60 2,183,029.42 2,469,317.33 2,749,295.01 3.10E-04 ########### -168,124.34
1,835,086.80 2,113,557.77 2,390,336.73 2,661,193.70 3.20E-04 ########### -150,146.38
1,778,905.98 2,048,377.27 2,316,257.55 2,578,569.30 3.30E-04 ########### -133,979.02
1,726,067.96 1,987,101.77 2,246,636.78 2,500,926.01 3.40E-04 ########### -119,402.91
1,676,282.59 1,929,390.13 2,181,083.30 2,427,826.16 3.50E-04 ########### -106,230.15
1,629,292.39 1,874,939.88 2,119,250.47 2,358,881.95 3.60E-04 ########### -94,299.11
1,584,868.12 1,823,481.86 2,060,830.00 2,293,748.53 3.70E-04 -974,380.05 -83,470.17
1,542,804.93 1,774,775.77 2,005,546.76 2,232,118.20 3.80E-04 -923,953.97 -73,622.29
1,502,919.25 1,728,606.41 1,953,154.44 2,173,715.55 3.90E-04 -877,316.42 -64,650.12
1,465,046.08 1,684,780.44 1,903,431.91 2,118,293.30 4.00E-04 -834,097.79 -56,461.68
1,429,036.71 1,643,123.70 1,856,180.00 2,065,628.85 4.10E-04 -793,972.46 -48,976.40
1,394,756.71 1,603,478.92 1,811,218.92 2,015,521.22 4.20E-04 -756,652.64 -42,123.47
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
P (Pa) P (Pa)
Berthelot Isotherm for Ethane
Page 26
-700,000,000.00
-600,000,000.00
-500,000,000.00
-400,000,000.00
-300,000,000.00
-200,000,000.00
-100,000,000.00
0.00
100,000,000.00
200,000,000.00
0.00E+00 5.00E-05 1.00E-04
P
2.56E-04 3.06E-04 3.56E-04 4.06E-04
Berthelot Isotherm for Ethane
1.00
10.00
30.00
44.40
55.00
70.00
Page 27
30.00 44.40 55.00 70.00 80.00 90.00 100.00
############ ########### ############ ############ ########### -534,847,055.17 ############
-10,969,426.58 ########### 24,428,421.98 42,698,279.71 ########### 65,652,211.39 76,762,054.91
-7,042,938.62 3,133,390.59 9,643,890.80 18,152,470.36 ########### 28,785,262.71 33,915,736.80
-3,673,444.42 2,760,726.32 6,904,170.78 12,341,613.23 ########### 19,161,025.98 22,458,311.54
-1,852,027.50 2,752,430.65 5,744,550.29 9,693,253.76 ########### 14,669,688.89 17,082,568.65
-831,410.11 2,708,054.52 5,028,666.88 8,107,913.29 ########### 12,006,731.72 13,902,127.13
-230,275.56 2,621,399.70 4,506,329.05 7,019,771.31 8,633,954.65 10,215,459.10 11,772,678.80
137,913.51 2,513,098.18 4,094,517.08 6,212,403.54 7,576,432.73 8,914,989.33 10,234,616.41 T (K)
369,590.99 2,397,426.45 3,756,319.41 5,583,136.27 6,762,630.82 7,921,711.52 9,065,622.02
517,636.46 2,282,269.36 3,471,589.27 5,075,812.01 6,113,844.09 7,135,149.92 8,144,025.90
612,576.96 2,171,603.06 3,227,738.20 4,656,542.65 5,582,839.38 6,495,180.84 7,397,151.66
672,815.47 2,067,230.40 3,016,188.78 4,303,383.24 5,139,287.59 5,963,371.63 6,778,671.60
709,855.82 1,969,784.81 2,830,758.10 4,001,356.76 4,762,689.01 5,513,880.72 6,257,536.67
731,111.64 1,879,286.20 2,666,815.50 3,739,820.65 4,438,620.31 5,128,624.86 5,812,093.47
741,484.93 1,795,445.54 2,520,796.33 3,510,966.91 4,156,601.08 4,794,534.43 5,426,745.05
744,288.24 1,717,831.28 2,389,898.74 3,308,916.64 3,908,811.69 4,501,907.93 5,089,951.75
741,801.52 1,645,959.71 2,271,883.66 3,129,147.21 3,689,287.19 4,243,380.64 4,792,980.70
735,618.59 1,579,343.19 2,164,937.11 2,968,115.67 3,493,391.00 4,013,253.75 4,529,094.24
726,868.18 1,517,514.88 2,067,572.29 2,823,002.94 3,317,460.18 3,807,044.07 4,293,006.41
716,358.24 1,460,040.35 1,978,558.16 2,691,535.37 3,158,559.86 3,621,173.46 4,080,509.16
704,672.09 1,406,522.05 1,896,866.30 2,571,857.33 3,014,309.07 3,452,749.52 3,888,209.04
692,233.63 1,356,599.69 1,821,630.61 2,462,438.27 2,882,754.77 3,299,407.65 3,713,337.94
679,352.24 1,309,948.68 1,752,116.41 2,362,003.85 2,762,279.10 3,159,195.04 3,553,614.58
666,254.26 1,266,277.56 1,687,696.37 2,269,484.00 2,651,529.81 3,030,484.24 3,407,141.36
653,105.20 1,225,324.97 1,627,831.55 2,183,973.27 2,549,367.61 2,911,907.66 3,272,326.61
640,025.75 1,186,856.71 1,572,056.36 2,104,700.07 2,454,825.49 2,802,307.45 3,147,824.97
627,103.28 1,150,662.81 1,519,966.47 2,031,002.71 2,367,077.21 2,700,696.54 3,032,491.37
614,400.29 1,116,554.86 1,471,209.09 1,962,310.37 2,285,412.41 2,606,228.16 2,925,344.90
601,960.70 1,084,363.61 1,425,475.01 1,898,127.92 2,209,216.89 2,518,171.61 2,825,540.29
589,814.41 1,053,936.77 1,382,492.04 1,838,023.73 2,137,956.82 2,435,893.00 2,732,345.22
577,980.79 1,025,137.13 1,342,019.68 1,781,619.78 2,071,165.92 2,358,839.64 2,645,121.93
566,471.29 997,840.79 1,303,844.63 1,728,583.53 2,008,435.06 2,286,527.40 2,563,312.43
555,291.41 971,935.75 1,267,777.04 1,678,621.24 1,949,403.77 2,218,530.35 2,486,426.35
544,442.18 947,320.49 1,233,647.38 1,631,472.49 1,893,753.15 2,154,472.28 2,414,030.99
533,921.32 923,902.90 1,201,303.83 1,586,905.55 1,841,200.05 2,094,019.58 2,345,743.03
523,724.10 901,599.21 1,170,609.96 1,544,713.51 1,791,492.16 2,036,875.40 2,281,221.68
513,844.04 880,333.10 1,141,442.91 1,504,711.07 1,744,403.94 1,982,774.69 2,220,162.93
504,273.37 860,034.94 1,113,691.69 1,466,731.75 1,699,733.11 1,931,480.03 2,162,294.72
495,003.49 840,641.06 1,087,255.79 1,430,625.57 1,657,297.78 1,882,778.14 2,107,372.80
486,025.20 822,093.17 1,062,044.01 1,396,257.04 1,616,933.86 1,836,476.86 2,055,177.29
477,329.00 804,337.79 1,037,973.34 1,363,503.47 1,578,493.00 1,792,402.62 2,005,509.70
468,905.22 787,325.80 1,014,968.14 1,332,253.45 1,541,840.71 1,750,398.19 1,958,190.40
Table 6. Redlich-Kwong Equation Peng-Robinson
P (Pa)
Table 7. Peng-Robinson Equation
Redlich-Kwong Isotherm for Ethane
Page 28
1.00E-04 1.50E-04 2.00E-04 2.50E-04 3.00E-04 3.50E-04 4.00E-04 4.50E-04
V
Redlich-Kwong Isotherm for Ethane
1.00
10.00
30.00
44.40
55.00
70.00
Page 29
T 1.00 10.00 30.00 44.40 55.00 70.00 80.00 90.00 100.00
β
a 0.039301 0.032387 0.025726 0.02261 0.020736 0.018487 0.017183 0.016001 0.014922
b
V (m³)
1.00 10.00 30.00 44.40 55.00 70.00 80.00 90.00 100.00
1.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
3.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
4.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
5.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
6.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
7.00E-05 ######## ######## 70,683.03 ######## ######## ######## ######## ######## ########
8.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
9.00E-05 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.00E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.10E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.20E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.30E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.40E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.50E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.60E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.70E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.80E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
1.90E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.00E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.10E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.20E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.30E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.40E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.50E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.60E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.70E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.80E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
2.90E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
3.00E-04 ######## ######## ######## ######## ######## ######## ######## ######## ########
3.10E-04 ######## ######## ######## ######## ######## ######## 2052597 2341667 2629735
3.20E-04 ######## ######## ######## ######## ######## ######## 1990894 2270311 2548785
3.30E-04 ######## ######## ######## ######## ######## ######## 1932808 2203192 2472688
3.40E-04 ######## ######## ######## ######## ######## ######## 1878028 2139942 2401019
Table 7. a, b, and β Values of T
Peng-Robinson
Table 7. Peng-Robinson Equation
0.37464
1.04212E-05
P (Pa)
Peng-Robinson Isotherm for Ethane
Page 30
-1,600,000,000.00
-1,400,000,000.00
-1,200,000,000.00
-1,000,000,000.00
-800,000,000.00
-600,000,000.00
-400,000,000.00
-200,000,000.00
0.00
200,000,000.00
400,000,000.00
0.00E+00 5.00E-05 1.00E-04 1.50E-04 2.00E-04 2.50E-04 3.00E-04 3.50E-04 4.00E-04
P
V
Peng-Robinson Isotherm for Ethane
Page 32
1.00
10.00
30.00
44.40
55.00
70.00
Page 33
a
b
0.012635
V (m³)
T (K) 1.00 44.40 100.00 200.00 300.00 400.00 500.00
0.05 166.29 7,383.25 16,628.94 33,257.89 49,886.83 66,515.78 83,144.72
0.10 83.14 3,691.63 8,314.47 16,628.94 24,943.42 33,257.89 41,572.36
0.15 55.43 2,461.08 5,542.98 11,085.96 16,628.94 22,171.93 27,714.91
0.20 41.57 1,845.81 4,157.24 8,314.47 12,471.71 16,628.94 20,786.18
0.25 33.26 1,476.65 3,325.79 6,651.58 9,977.37 13,303.16 16,628.94
0.30 27.71 1,230.54 2,771.49 5,542.98 8,314.47 11,085.96 13,857.45
0.35 23.76 1,054.75 2,375.56 4,751.13 7,126.69 9,502.25 11,877.82
0.40 20.79 922.91 2,078.62 4,157.24 6,235.85 8,314.47 10,393.09
0.45 18.48 820.36 1,847.66 3,695.32 5,542.98 7,390.64 9,238.30
0.50 16.63 738.33 1,662.89 3,325.79 4,988.68 6,651.58 8,314.47
0.55 15.12 671.20 1,511.72 3,023.44 4,535.17 6,046.89 7,558.61
0.60 13.86 615.27 1,385.75 2,771.49 4,157.24 5,542.98 6,928.73
0.65 12.79 567.94 1,279.15 2,558.30 3,837.45 5,116.60 6,395.75
1.05 7.92 351.58 791.85 1,583.71 2,375.56 3,167.42 3,959.27
1.10 7.56 335.60 755.86 1,511.72 2,267.58 3,023.44 3,779.31
1.15 7.23 321.01 723.00 1,446.00 2,168.99 2,891.99 3,614.99
1.20 6.93 307.64 692.87 1,385.75 2,078.62 2,771.49 3,464.36
1.25 6.65 295.33 665.16 1,330.32 1,995.47 2,660.63 3,325.79
1.30 6.40 283.97 639.57 1,279.15 1,918.72 2,558.30 3,197.87
1.35 6.16 273.45 615.89 1,231.77 1,847.66 2,463.55 3,079.43
1.40 5.94 263.69 593.89 1,187.78 1,781.67 2,375.56 2,969.45
1.45 5.73 254.59 573.41 1,146.82 1,720.24 2,293.65 2,867.06
1.50 5.54 246.11 554.30 1,108.60 1,662.89 2,217.19 2,771.49
1.55 5.36 238.17 536.42 1,072.84 1,609.25 2,145.67 2,682.09
1.60 5.20 230.73 519.65 1,039.31 1,558.96 2,078.62 2,598.27
1.05 7.92 351.58 791.85 1,583.71 2,375.56 3,167.42 3,959.27
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Gas: Neon, Ne Group Number: 2
Critical Temperature (K): 44.4
Name of Members:
Banda, Marybeth Hope T.
Acentric Factor: 0
Critical Volume (m³/mol): 3.90927E-05 Bautista, Rajane Faith T.
Critical Pressure (Pa): 2756000 Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
R (J/mol-K): 8.314472 Date Prepared: 24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Van der Waals Berthelot Dieterici Redlich-Kwong
Table 2. Ideal Gas Equation
P (Pa)
0.012635482 0.436617098 0.028863122 0.140852189
1.30309E-05 1.30309E-05 1.95464E-05 1.16054E-05
Ideal Gas
Page 34
0.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
0.00 0.10 0.20 0.30 0.40 0.50
P
V
Ideal Gas
Page 35
V (m³)
T (K) 1.00 44.40 100.00 200.00 300.00
0.05 161.28 7,380.12 16,628.22 33,261.50 49,894.78
0.10 81.89 3,690.84 8,314.29 16,629.85 24,945.40
0.15 54.87 2,460.74 5,542.90 11,086.36 16,629.83
0.20 41.26 1,845.62 4,157.19 8,314.70 12,472.20
0.25 33.06 1,476.53 3,325.76 6,651.72 9,977.68
0.30 27.58 1,230.45 2,771.47 5,543.08 8,314.69
0.35 23.65 1,054.69 2,375.55 4,751.20 7,126.85
0.40 20.71 922.86 2,078.61 4,157.29 6,235.98
0.45 18.41 820.32 1,847.65 3,695.37 5,543.08
0.50 16.58 738.29 1,662.89 3,325.82 4,988.76
0.55 15.08 671.18 1,511.72 3,023.47 4,535.23
0.60 13.82 615.25 1,385.74 2,771.52 4,157.29
0.65 12.76 567.92 1,279.15 2,558.32 3,837.50
0.70 11.85 527.36 1,187.78 2,375.58 3,563.39
0.75 11.06 492.20 1,108.59 2,217.21 3,325.82
600.00 700.00 0.80 10.37 461.44 1,039.31 2,078.63 3,117.96
99,773.66 116,402.61 0.85 9.76 434.30 978.17 1,956.36 2,934.55
49,886.83 58,201.30 0.90 9.22 410.17 923.83 1,847.67 2,771.52
33,257.89 38,800.87 0.95 8.74 388.58 875.21 1,750.43 2,625.64
24,943.42 29,100.65 1.00 8.30 369.15 831.45 1,662.90 2,494.36
19,954.73 23,280.52 1.05 7.91 351.58 791.85 1,583.72 2,375.58
16,628.94 19,400.43 1.10 7.55 335.60 755.86 1,511.73 2,267.60
14,253.38 16,628.94 1.15 7.22 321.01 723.00 1,446.00 2,169.01
12,471.71 14,550.33 1.20 6.92 307.63 692.87 1,385.75 2,078.63
11,085.96 12,933.62 1.25 6.64 295.33 665.16 1,330.32 1,995.49
9,977.37 11,640.26 1.30 6.39 283.97 639.57 1,279.15 1,918.74
9,070.33 10,582.06 1.35 6.15 273.45 615.89 1,231.78 1,847.67
8,314.47 9,700.22 1.40 5.93 263.68 593.89 1,187.79 1,781.68
7,674.90 8,954.05 1.45 5.73 254.59 573.41 1,146.83 1,720.25
4,751.13 5,542.98 1.50 5.54 246.10 554.30 1,108.60 1,662.90
4,535.17 5,291.03 1.55 5.36 238.17 536.42 1,072.84 1,609.26
4,337.99 5,060.98 1.60 5.19 230.72 519.65 1,039.31 1,558.97
4,157.24 4,850.11 1.65 5.03 223.73 503.91 1,007.82 1,511.73
3,990.95 4,656.10 1.70 4.89 217.15 489.09 978.18 1,467.27
3,837.45 4,477.02 1.75 4.75 210.95 475.11 950.23 1,425.34
3,695.32 4,311.21 1.80 4.62 205.09 461.91 923.83 1,385.75
3,563.35 4,157.24 1.85 4.49 199.55 449.43 898.86 1,348.30
3,440.47 4,013.88 1.90 4.37 194.29 437.60 875.21 1,312.82
3,325.79 3,880.09 1.95 4.26 189.31 426.38 852.77 1,279.15
3,218.51 3,754.92 2.00 4.15 184.58 415.72 831.45 1,247.18
3,117.93 3,637.58 2.05 4.05 180.08 405.58 811.17 1,216.76
4,751.13 5,542.98 2.10 3.96 175.79 395.93 791.86 1,187.79
Experiment 1 Table 3. Van der Waals Equation
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State P (Pa)
2
Banda, Marybeth Hope T.
Bautista, Rajane Faith T.
Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Peng-Robinson
Table 2. Ideal Gas Equation
P (Pa)
a(T)
1.04212E-05
Page 36
0.60
1.00
44.40
100.00
200.00
300.00
400.00
500.00
600.00
700.00
0.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
0.00 0.20 0.40 0.60 0.80 1.00
P
V
Van der Waals
Page 37
V (m³)
400.00 500.00 600.00 700.00 T (K) 1.00 44.40 100.00
66,528.06 83,161.34 99,794.62 116,427.90 0.05 155.20 7,374.60 16,623.90
33,260.96 41,576.51 49,892.07 58,207.63 0.10 80.32 3,689.46 8,313.21
22,173.29 27,716.75 33,260.22 38,803.68 0.15 54.17 2,460.12 5,542.42
16,629.71 20,787.22 24,944.73 29,102.23 0.20 40.86 1,845.27 4,156.92
13,303.65 16,629.61 19,955.57 23,281.53 0.25 32.80 1,476.30 3,325.59
11,086.30 13,857.91 16,629.53 19,401.14 0.30 27.40 1,230.30 2,771.35
9,502.50 11,878.16 14,253.81 16,629.46 0.35 23.52 1,054.57 2,375.46
8,314.66 10,393.35 12,472.04 14,550.72 0.40 20.61 922.77 2,078.54
7,390.79 9,238.51 11,086.22 12,933.94 0.45 18.34 820.25 1,847.60
6,651.70 8,314.64 9,977.58 11,640.51 0.50 16.51 738.24 1,662.84
6,046.99 7,558.75 9,070.51 10,582.26 0.55 15.02 671.13 1,511.68
5,543.07 6,928.84 8,314.62 9,700.39 0.60 13.78 615.21 1,385.71
5,116.67 6,395.85 7,675.02 8,954.20 0.65 12.72 567.89 1,279.12
4,751.19 5,938.99 7,126.80 8,314.60 0.70 11.82 527.33 1,187.76
4,434.44 5,543.06 6,651.67 7,760.29 0.75 11.04 492.18 1,108.57
4,157.28 5,196.61 6,235.94 7,275.26 0.80 10.35 461.42 1,039.29
3,912.74 4,890.92 5,869.11 6,847.30 0.85 9.74 434.28 978.16
3,695.36 4,619.20 5,543.05 6,466.89 0.90 9.20 410.15 923.81
3,500.86 4,376.08 5,251.30 6,126.52 0.95 8.72 388.57 875.19
3,325.82 4,157.28 4,988.74 5,820.19 1.00 8.29 369.14 831.43
3,167.45 3,959.31 4,751.17 5,543.04 1.05 7.89 351.56 791.84
3,023.47 3,779.34 4,535.21 5,291.08 1.10 7.53 335.58 755.85
2,892.01 3,615.02 4,338.02 5,061.03 1.15 7.21 320.99 722.99
2,771.51 3,464.39 4,157.27 4,850.15 1.20 6.91 307.62 692.86
2,660.65 3,325.82 3,990.98 4,656.14 1.25 6.63 295.32 665.15
2,558.32 3,197.90 3,837.48 4,477.06 1.30 6.38 283.96 639.57
2,463.56 3,079.46 3,695.35 4,311.24 1.35 6.14 273.44 615.88
2,375.58 2,969.48 3,563.37 4,157.27 1.40 5.92 263.68 593.88
2,293.66 2,867.08 3,440.50 4,013.91 1.45 5.72 254.58 573.41
2,217.21 2,771.51 3,325.81 3,880.12 1.50 5.53 246.10 554.29
2,145.68 2,682.11 3,218.53 3,754.95 1.55 5.35 238.16 536.41
2,078.63 2,598.29 3,117.95 3,637.61 1.60 5.19 230.72 519.65
2,015.64 2,519.55 3,023.46 3,527.37 1.65 5.03 223.73 503.90
1,956.36 2,445.45 2,934.54 3,423.63 1.70 4.88 217.15 489.08
1,900.46 2,375.58 2,850.69 3,325.81 1.75 4.74 210.94 475.11
1,847.67 2,309.59 2,771.51 3,233.43 1.80 4.61 205.08 461.91
1,797.73 2,247.17 2,696.60 3,146.03 1.85 4.49 199.54 449.43
1,750.42 2,188.03 2,625.64 3,063.24 1.90 4.37 194.29 437.60
1,705.54 2,131.93 2,558.31 2,984.70 1.95 4.26 189.31 426.38
1,662.90 2,078.63 2,494.35 2,910.08 2.00 4.15 184.58 415.72
1,622.34 2,027.93 2,433.52 2,839.10 2.05 4.05 180.07 405.58
1,583.72 1,979.65 2,375.58 2,771.50 2.10 3.95 175.79 395.92
Table 3. Van der Waals Equation Table 4. Dieterici Equation
P (Pa) P (Pa)
Page 38
1.00 1.20 1.40 1.60
Van der Waals
1.00
44.40
100.00
200.00
300.00
400.00
500.00
600.00
700.00
0.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
-0.40 0.10 0.60
P
Page 39
V (m³)
200.00 300.00 400.00 500.00 600.00 700.00 T (K) 1.00
33,259.35 49,894.79 66,530.24 83,165.69 99,801.13 116,436.58 0.05 -8.31
16,629.31 24,945.41 33,261.50 41,577.60 49,893.70 58,209.80 0.10 39.49
11,086.12 16,629.83 22,173.53 27,717.24 33,260.94 38,804.64 0.15 36.03
8,314.56 12,472.21 16,629.85 20,787.49 24,945.13 29,102.77 0.20 30.66
6,651.64 9,977.68 13,303.73 16,629.78 19,955.83 23,281.88 0.25 26.27
5,543.02 8,314.69 11,086.36 13,858.04 16,629.71 19,401.38 0.30 22.86
4,751.16 7,126.85 9,502.55 11,878.24 14,253.94 16,629.64 0.35 20.19
4,157.26 6,235.98 8,314.70 10,393.42 12,472.14 14,550.86 0.40 18.06
3,695.34 5,543.08 7,390.82 9,238.56 11,086.30 12,934.04 0.45 16.32
3,325.80 4,988.76 6,651.72 8,314.68 9,977.64 11,640.60 0.50 14.88
3,023.46 4,535.23 6,047.01 7,558.78 9,070.56 10,582.34 0.55 13.67
2,771.50 4,157.29 5,543.08 6,928.87 8,314.66 9,700.45 0.60 12.64
2,558.31 3,837.50 5,116.68 6,395.87 7,675.06 8,954.25 0.65 11.76
2,375.57 3,563.39 4,751.20 5,939.02 7,126.83 8,314.65 0.70 10.99
2,217.20 3,325.82 4,434.45 5,543.07 6,651.70 7,760.32 0.75 10.31
2,078.62 3,117.96 4,157.29 5,196.63 6,235.96 7,275.30 0.80 9.71
1,956.35 2,934.55 3,912.74 4,890.94 5,869.13 6,847.33 0.85 9.18
1,847.66 2,771.52 3,695.37 4,619.22 5,543.07 6,466.92 0.90 8.70
1,750.42 2,625.64 3,500.87 4,376.10 5,251.32 6,126.55 0.95 8.27
1,662.90 2,494.36 3,325.82 4,157.29 4,988.75 5,820.22 1.00 7.88
1,583.71 2,375.58 3,167.45 3,959.32 4,751.19 5,543.06 1.05 7.52
1,511.73 2,267.60 3,023.47 3,779.35 4,535.22 5,291.10 1.10 7.20
1,446.00 2,169.01 2,892.02 3,615.03 4,338.04 5,061.05 1.15 6.90
1,385.75 2,078.63 2,771.52 3,464.40 4,157.28 4,850.17 1.20 6.63
1,330.32 1,995.49 2,660.65 3,325.82 3,990.99 4,656.16 1.25 6.37
1,279.15 1,918.74 2,558.32 3,197.90 3,837.49 4,477.07 1.30 6.14
1,231.78 1,847.67 2,463.57 3,079.46 3,695.36 4,311.25 1.35 5.92
1,187.78 1,781.68 2,375.58 2,969.48 3,563.38 4,157.28 1.40 5.72
1,146.83 1,720.25 2,293.66 2,867.08 3,440.50 4,013.92 1.45 5.53
1,108.60 1,662.90 2,217.21 2,771.51 3,325.82 3,880.12 1.50 5.35
1,072.84 1,609.26 2,145.69 2,682.11 3,218.53 3,754.96 1.55 5.18
1,039.31 1,558.97 2,078.63 2,598.29 3,117.95 3,637.61 1.60 5.03
1,007.82 1,511.73 2,015.64 2,519.56 3,023.47 3,527.38 1.65 4.88
978.17 1,467.27 1,956.36 2,445.45 2,934.54 3,423.64 1.70 4.74
950.23 1,425.34 1,900.46 2,375.58 2,850.70 3,325.82 1.75 4.61
923.83 1,385.75 1,847.67 2,309.59 2,771.51 3,233.43 1.80 4.48
898.86 1,348.30 1,797.73 2,247.17 2,696.61 3,146.04 1.85 4.37
875.21 1,312.82 1,750.43 2,188.03 2,625.64 3,063.25 1.90 4.26
852.77 1,279.15 1,705.54 2,131.93 2,558.32 2,984.70 1.95 4.15
831.45 1,247.18 1,662.90 2,078.63 2,494.36 2,910.09 2.00 4.05
811.17 1,216.76 1,622.34 2,027.93 2,433.52 2,839.11 2.05 3.95
791.86 1,187.79 1,583.72 1,979.65 2,375.58 2,771.51 2.10 3.86
Table 4. Dieterici Equation Table 5. Berthelot Equation
P (Pa) P (Pa)
Dieterici
Page 40
0.60 1.10 1.60 2.10
V
Dieterici
1.00
44.40
100.00
200.00
300.00
400.00
500.00
600.00
700.00-5,000.00
0.00
5,000.00
10,000.00
15,000.00
20,000.00
-0.40
P
Page 41
44.40 100.00 200.00 300.00 400.00 500.00 600.00 700.00 T (K)
7,381.24 16,631.53 33,265.68 49,899.25 66,532.68 83,166.05 99,799.38 116,432.66
3,691.12 8,315.12 16,630.89 24,946.52 33,262.11 41,577.69 49,893.26 58,208.82
2,460.86 5,543.27 11,086.83 16,630.32 22,173.80 27,717.28 33,260.75 38,804.21
1,845.69 4,157.40 8,314.96 12,472.48 16,630.00 20,787.51 24,945.02 29,102.53
1,476.57 3,325.89 6,651.89 9,977.86 13,303.83 16,629.80 19,955.76 23,281.72
1,230.49 2,771.56 5,543.20 8,314.82 11,086.43 13,858.05 16,629.66 19,401.27
1,054.71 2,375.62 4,751.29 7,126.94 9,502.60 11,878.25 14,253.91 16,629.56
922.87 2,078.66 4,157.36 6,236.05 8,314.74 10,393.42 12,472.11 14,550.80
820.34 1,847.69 3,695.42 5,543.13 7,390.85 9,238.57 11,086.28 12,933.99
738.31 1,662.92 3,325.87 4,988.81 6,651.75 8,314.69 9,977.62 11,640.56
671.19 1,511.74 3,023.51 4,535.27 6,047.03 7,558.79 9,070.55 10,582.30
615.26 1,385.76 2,771.54 4,157.32 5,543.10 6,928.87 8,314.65 9,700.43
567.93 1,279.16 2,558.35 3,837.52 5,116.70 6,395.87 7,675.05 8,954.22
527.36 1,187.79 2,375.60 3,563.41 4,751.21 5,939.02 7,126.82 8,314.63
492.21 1,108.61 2,217.23 3,325.84 4,434.46 5,543.08 6,651.69 7,760.31
461.45 1,039.32 2,078.65 3,117.98 4,157.30 5,196.63 6,235.95 7,275.28
434.30 978.18 1,956.37 2,934.56 3,912.75 4,890.94 5,869.13 6,847.32
410.17 923.84 1,847.68 2,771.53 3,695.37 4,619.22 5,543.06 6,466.90
388.59 875.21 1,750.44 2,625.66 3,500.88 4,376.10 5,251.32 6,126.54
369.16 831.45 1,662.91 2,494.37 3,325.83 4,157.29 4,988.75 5,820.21
351.58 791.86 1,583.73 2,375.59 3,167.46 3,959.32 4,751.19 5,543.05
335.60 755.87 1,511.74 2,267.61 3,023.48 3,779.35 4,535.22 5,291.09
321.01 723.00 1,446.01 2,169.02 2,892.02 3,615.03 4,338.03 5,061.04
307.63 692.88 1,385.76 2,078.64 2,771.52 3,464.40 4,157.28 4,850.16
295.33 665.16 1,330.33 1,995.49 2,660.66 3,325.82 3,990.99 4,656.15
283.97 639.58 1,279.16 1,918.74 2,558.32 3,197.91 3,837.49 4,477.07
273.45 615.89 1,231.78 1,847.68 2,463.57 3,079.46 3,695.36 4,311.25
263.68 593.89 1,187.79 1,781.69 2,375.58 2,969.48 3,563.38 4,157.27
254.59 573.41 1,146.83 1,720.25 2,293.67 2,867.08 3,440.50 4,013.92
246.11 554.30 1,108.60 1,662.91 2,217.21 2,771.51 3,325.82 3,880.12
238.17 536.42 1,072.84 1,609.27 2,145.69 2,682.11 3,218.53 3,754.95
230.72 519.66 1,039.32 1,558.98 2,078.63 2,598.29 3,117.95 3,637.61
223.73 503.91 1,007.82 1,511.73 2,015.65 2,519.56 3,023.47 3,527.38
217.15 489.09 978.18 1,467.27 1,956.36 2,445.45 2,934.54 3,423.63
210.95 475.11 950.23 1,425.35 1,900.46 2,375.58 2,850.70 3,325.81
205.09 461.92 923.84 1,385.75 1,847.67 2,309.59 2,771.51 3,233.43
199.55 449.43 898.87 1,348.30 1,797.74 2,247.17 2,696.60 3,146.04
194.29 437.61 875.21 1,312.82 1,750.43 2,188.03 2,625.64 3,063.25
189.31 426.38 852.77 1,279.16 1,705.54 2,131.93 2,558.32 2,984.70
184.58 415.73 831.45 1,247.18 1,662.90 2,078.63 2,494.36 2,910.08
180.08 405.59 811.17 1,216.76 1,622.35 2,027.93 2,433.52 2,839.11
175.79 395.93 791.86 1,187.79 1,583.72 1,979.65 2,375.58 2,771.51
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
P (Pa)
Berthelot
Page 42
-5,000.00
0.00
5,000.00
10,000.00
15,000.00
20,000.00
0.10 0.60 1.10 1.60 2.10
V
Berthelot
1.00
44.40
100.00
200.00
300.00
400.00
500.00
600.00
700.00
Page 43
V (m³)
1.00 44.40 100.00 200.00 300.00 400.00 500.00 600.00
0.05 110.00 7,376.51 16,627.17 33,261.63 49,895.16 66,528.40 83,161.50 99,794.53
0.10 69.07 3,689.94 8,314.03 16,629.88 24,945.50 33,261.04 41,576.56 49,892.05
0.15 49.17 2,460.33 5,542.78 11,086.38 16,629.87 22,173.33 27,716.77 33,260.21
0.20 38.05 1,845.39 4,157.13 8,314.71 12,472.23 16,629.73 20,787.23 24,944.72
0.25 31.01 1,476.38 3,325.72 6,651.73 9,977.70 13,303.66 16,629.62 19,955.57
0.30 26.15 1,230.35 2,771.44 5,543.09 8,314.70 11,086.31 13,857.92 16,629.52
0.35 22.61 1,054.61 2,375.53 4,751.20 7,126.86 9,502.51 11,878.16 14,253.81
0.40 19.91 922.80 2,078.59 4,157.29 6,235.98 8,314.67 10,393.35 12,472.03
0.45 17.78 820.28 1,847.64 3,695.37 5,543.08 7,390.80 9,238.51 11,086.22
0.50 16.07 738.26 1,662.88 3,325.83 4,988.77 6,651.70 8,314.64 9,977.57
0.55 14.65 671.15 1,511.71 3,023.48 4,535.24 6,046.99 7,558.75 9,070.51
0.60 13.47 615.22 1,385.73 2,771.52 4,157.29 5,543.07 6,928.84 8,314.62
0.65 12.46 567.90 1,279.14 2,558.32 3,837.50 5,116.67 6,395.85 7,675.02
0.70 11.59 527.34 1,187.77 2,375.58 3,563.39 4,751.19 5,938.99 7,126.80
0.75 10.84 492.19 1,108.59 2,217.21 3,325.83 4,434.44 5,543.06 6,651.67
0.80 10.17 461.43 1,039.30 2,078.63 3,117.96 4,157.29 5,196.61 6,235.94
0.85 9.59 434.29 978.17 1,956.36 2,934.55 3,912.74 4,890.92 5,869.11
0.90 9.06 410.16 923.82 1,847.67 2,771.52 3,695.36 4,619.20 5,543.05
0.95 8.60 388.57 875.20 1,750.43 2,625.65 3,500.87 4,376.08 5,251.30
1.00 8.17 369.15 831.44 1,662.90 2,494.36 3,325.82 4,157.28 4,988.74
1.05 7.79 351.57 791.85 1,583.72 2,375.58 3,167.45 3,959.31 4,751.17
1.10 7.44 335.59 755.86 1,511.73 2,267.60 3,023.47 3,779.34 4,535.21
1.15 7.12 321.00 722.99 1,446.00 2,169.01 2,892.01 3,615.02 4,338.02
1.20 6.83 307.62 692.87 1,385.75 2,078.63 2,771.51 3,464.39 4,157.27
1.25 6.56 295.32 665.15 1,330.32 1,995.49 2,660.65 3,325.82 3,990.98
1.30 6.31 283.96 639.57 1,279.16 1,918.74 2,558.32 3,197.90 3,837.48
1.35 6.08 273.44 615.88 1,231.78 1,847.67 2,463.56 3,079.46 3,695.35
1.40 5.87 263.68 593.89 1,187.79 1,781.68 2,375.58 2,969.48 3,563.37
1.45 5.67 254.59 573.41 1,146.83 1,720.25 2,293.66 2,867.08 3,440.50
1.50 5.48 246.10 554.30 1,108.60 1,662.90 2,217.21 2,771.51 3,325.81
1.55 5.31 238.16 536.42 1,072.84 1,609.26 2,145.68 2,682.11 3,218.53
1.60 5.14 230.72 519.65 1,039.31 1,558.97 2,078.63 2,598.29 3,117.95
1.65 4.99 223.73 503.91 1,007.82 1,511.73 2,015.64 2,519.55 3,023.46
1.70 4.84 217.15 489.09 978.18 1,467.27 1,956.36 2,445.45 2,934.54
1.75 4.71 210.94 475.11 950.23 1,425.34 1,900.46 2,375.58 2,850.69
1.80 4.58 205.09 461.91 923.83 1,385.75 1,847.67 2,309.59 2,771.51
1.85 4.45 199.54 449.43 898.86 1,348.30 1,797.73 2,247.17 2,696.60
1.90 4.34 194.29 437.60 875.21 1,312.82 1,750.42 2,188.03 2,625.64
1.95 4.23 189.31 426.38 852.77 1,279.16 1,705.54 2,131.93 2,558.31
2.00 4.12 184.58 415.72 831.45 1,247.18 1,662.90 2,078.63 2,494.35
2.05 4.02 180.08 405.58 811.17 1,216.76 1,622.34 2,027.93 2,433.52
2.10 3.93 175.79 395.93 791.86 1,187.79 1,583.72 1,979.65 2,375.58
Table 6. Redlich-Kwong Equation
P (Pa)
Redlick-Kwong
Page 44
0.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
-0.40 0.10 0.60 1.10 1.60 2.10
P
V
Redlick-Kwong
Page 45
700.00
######## T 1.00 44.40 100.00 200.00 300.00 400.00
58,207.53 β
38,803.63 a 0.039301 0.02261 0.014922 0.007593 0.003632 0.001415
29,102.21 b
23,281.52
19,401.13
16,629.45 V (m³)
14,550.71 T (K) 1.00 44.40 100.00 200.00 300.00 400.00
12,933.93 0.05 150.61 7,375.75 16,626.44 33,261.79 49,895.78 66,529.08
11,640.51 0.10 79.22 3,689.75 8,313.85 16,629.92 24,945.65 33,261.21
10,582.26 0.15 53.69 2,460.25 5,542.70 11,086.40 16,629.94 22,173.40
9,700.39 0.20 40.59 1,845.34 4,157.08 8,314.72 12,472.27 16,629.78
8,954.19 0.25 32.63 1,476.35 3,325.69 6,651.73 9,977.72 13,303.69
8,314.60 0.30 27.28 1,230.33 2,771.42 5,543.09 8,314.72 11,086.33
7,760.28 0.35 23.44 1,054.60 2,375.51 4,751.21 7,126.87 9,502.53
7,275.26 0.40 20.54 922.79 2,078.58 4,157.30 6,235.99 8,314.68
6,847.30 0.45 18.28 820.27 1,847.63 3,695.37 5,543.09 7,390.81
6,466.89 0.50 16.47 738.25 1,662.87 3,325.83 4,988.77 6,651.71
6,126.52 0.55 14.99 671.14 1,511.70 3,023.48 4,535.24 6,047.00
5,820.19 0.60 13.75 615.22 1,385.73 2,771.52 4,157.30 5,543.07
5,543.04 0.65 12.70 567.90 1,279.13 2,558.32 3,837.50 5,116.68
5,291.08 0.70 11.80 527.34 1,187.77 2,375.58 3,563.39 4,751.19
5,061.03 0.75 11.02 492.18 1,108.59 2,217.21 3,325.83 4,434.44
4,850.15 0.80 10.33 461.42 1,039.30 2,078.63 3,117.96 4,157.29
4,656.14 0.85 9.73 434.28 978.16 1,956.36 2,934.55 3,912.74
4,477.06 0.90 9.19 410.16 923.82 1,847.67 2,771.52 3,695.36
4,311.24 0.95 8.71 388.57 875.20 1,750.43 2,625.65 3,500.87
4,157.27 1.00 8.28 369.14 831.44 1,662.90 2,494.36 3,325.82
4,013.91 1.05 7.88 351.57 791.85 1,583.72 2,375.58 3,167.45
3,880.11 1.10 7.53 335.59 755.86 1,511.73 2,267.60 3,023.47
3,754.95 1.15 7.20 321.00 722.99 1,446.00 2,169.01 2,892.02
3,637.61 1.20 6.90 307.62 692.87 1,385.75 2,078.63 2,771.51
3,527.37 1.25 6.63 295.32 665.15 1,330.32 1,995.49 2,660.65
3,423.63 1.30 6.37 283.96 639.57 1,279.16 1,918.74 2,558.32
3,325.81 1.35 6.14 273.44 615.88 1,231.78 1,847.67 2,463.57
3,233.42 1.40 5.92 263.68 593.89 1,187.79 1,781.68 2,375.58
3,146.03 1.45 5.72 254.59 573.41 1,146.83 1,720.25 2,293.66
3,063.24 1.50 5.53 246.10 554.30 1,108.60 1,662.90 2,217.21
2,984.70 1.55 5.35 238.16 536.41 1,072.84 1,609.26 2,145.68
2,910.08 1.60 5.18 230.72 519.65 1,039.31 1,558.97 2,078.63
2,839.10 1.65 5.02 223.73 503.91 1,007.82 1,511.73 2,015.64
2,771.50 1.70 4.88 217.15 489.08 978.18 1,467.27 1,956.36
Table 7. a, b, and β Values of T
Table 6. Redlich-Kwong Equation Peng-Robinson
P (Pa)
Table 7. Peng-Robinson Equation
0.37464
1.04212E-05
P (Pa)
Peng-Robinson
Page 46
1.00
44.40
100.00
200.00
300.00
400.00
500.00
600.00
700.000.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
-0.10 0.10 0.30 0.50 0.70 0.90 1.10 1.30
P
V
Peng-Robinson
Page 47
500.00 600.00 700.00
0.000312 1.49E-07 0.000288
500.00 600.00 700.00
83,161.93 99,794.46 ########
41,576.66 49,892.03 58,207.34
27,716.82 33,260.20 38,803.55
20,787.26 24,944.72 29,102.16
16,629.63 19,955.56 23,281.49
13,857.93 16,629.52 19,401.11
11,878.17 14,253.80 16,629.44
10,393.36 12,472.03 14,550.70
9,238.51 11,086.22 12,933.92
8,314.64 9,977.57 11,640.50
7,558.75 9,070.50 10,582.25
6,928.85 8,314.62 9,700.39
6,395.85 7,675.02 8,954.19
5,939.00 7,126.80 8,314.60
5,543.06 6,651.67 7,760.28
5,196.61 6,235.94 7,275.26
4,890.93 5,869.11 6,847.30
4,619.20 5,543.05 6,466.89
4,376.09 5,251.30 6,126.52
4,157.28 4,988.74 5,820.19
3,959.31 4,751.17 5,543.04
3,779.34 4,535.21 5,291.08
3,615.02 4,338.02 5,061.03
3,464.39 4,157.27 4,850.15
3,325.82 3,990.98 4,656.14
3,197.90 3,837.48 4,477.06
3,079.46 3,695.35 4,311.24
2,969.48 3,563.37 4,157.27
2,867.08 3,440.50 4,013.91
2,771.51 3,325.81 3,880.11
2682.106 3218.527 3754.948
2598.289 3117.947 3637.605
2519.553 3023.463 3527.374
2445.448 2934.538 3423.627
Table 7. a, b, and β Values of T
Peng-Robinson
Table 7. Peng-Robinson Equation
0.37464
1.04212E-05
P (Pa)
Page 48
1.30 1.50 1.70
1.00
44.40
100.00
200.00
300.00
400.00
500.00
600.00
700.00
Page 49
a
b
V (m³)
T (K) 1.00 50.00 100.00 190.60 230.00
0.00005 166,289 8,314,472.00 16,628,944.00 31,694,767.26 38,246,571.20
0.00010 83,145 4,157,236.00 8,314,472.00 15,847,383.63 19,123,285.60
0.00015 55,430 2,771,490.67 5,542,981.33 10,564,922.42 12,748,857.07
0.00020 41,572 2,078,618.00 4,157,236.00 7,923,691.82 9,561,642.80
0.00025 33,258 1,662,894.40 3,325,788.80 6,338,953.45 7,649,314.24
0.00030 27,715 1,385,745.33 2,771,490.67 5,282,461.21 6,374,428.53
0.00035 23,756 1,187,781.71 2,375,563.43 4,527,823.89 5,463,795.89
0.00040 20,786 1,039,309.00 2,078,618.00 3,961,845.91 4,780,821.40
0.00045 18,477 923,830.22 1,847,660.44 3,521,640.81 4,249,619.02
0.00050 16,629 831,447.20 1,662,894.40 3,169,476.73 3,824,657.12
0.00055 15,117 755,861.09 1,511,722.18 2,881,342.48 3,476,961.02
0.00060 13,857 692,872.67 1,385,745.33 2,641,230.61 3,187,214.27
0.00065 12,791 639,574.77 1,279,149.54 2,438,059.02 2,942,043.94
0.00070 11,878 593,890.86 1,187,781.71 2,263,911.95 2,731,897.94
0.00075 11,086 554,298.13 1,108,596.27 2,112,984.48 2,549,771.41
0.00080 10,393 519,654.50 1,039,309.00 1,980,922.95 2,390,410.70
0.00085 9,782 489,086.59 978,173.18 1,864,398.07 2,249,798.31
0.00090 9,238 461,915.11 923,830.22 1,760,820.40 2,124,809.51
0.00095 8,752 437,603.79 875,207.58 1,668,145.65 2,012,977.43
0.00100 8,314 415,723.60 831,447.20 1,584,738.36 1,912,328.56
0.00105 7,919 395,927.24 791,854.48 1,509,274.63 1,821,265.30
0.00110 7,559 377,930.55 755,861.09 1,440,671.24 1,738,480.51
0.00115 7,230 361,498.78 722,997.57 1,378,033.36 1,662,894.40
0.00120 6,929 346,436.33 692,872.67 1,320,615.30 1,593,607.13
0.00125 6,652 332,578.88 665,157.76 1,267,790.69 1,529,862.85
0.00130 6,396 319,787.38 639,574.77 1,219,029.51 1,471,021.97
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Gas: Methane CH4 Group Number:
Critical Temperature (K): 190.6
Name of Members:
Acentric Factor: 0.008
Critical Volume (m³/mol): 0.000100327
Critical Pressure (Pa): 4600000
R (J/mol-K): 8.314472 Date Prepared:
Table 1. a and b Values of Ethane for Different Equations of State
Van der Waals Berthelot Dieterici
Table 2. Ideal Gas Equation
P (Pa)
0.138903996 20.56006359 0.317984092
3.34423E-05 3.34423E-05 5.01635E-05
Page 50
0.05
0.1
0.15
0
5,000,000
10,000,000
15,000,000
20,000,000
25,000,000
30,000,000
35,000,000
40,000,000
0.00006 0.00011 0.00016 0.00021 0.00026
P
V
Ideal Gas Isotherm
Page 51
V (m³)
T (K)
5.00E-06
8.00E-06
1.10E-05
1.40E-05
1.70E-05
2.00E-05
2.30E-05
2.60E-05
2.90E-05
3.20E-05
3.50E-05
3.80E-05
4.10E-05
4.40E-05
4.70E-05
300.00 400.00 500.00 600.00 5.00E-05
49,886,832.00 66,515,776.00 83,144,720.00 99,773,664.00 5.30E-05
24,943,416.00 33,257,888.00 41,572,360.00 49,886,832.00 5.60E-05
16,628,944.00 22,171,925.33 27,714,906.67 33,257,888.00 5.90E-05
12,471,708.00 16,628,944.00 20,786,180.00 24,943,416.00 6.20E-05
9,977,366.40 13,303,155.20 16,628,944.00 19,954,732.80 6.50E-05
8,314,472.00 11,085,962.67 13,857,453.33 16,628,944.00 6.80E-05
7,126,690.29 9,502,253.71 11,877,817.14 14,253,380.57 7.10E-05
6,235,854.00 8,314,472.00 10,393,090.00 12,471,708.00 7.40E-05
5,542,981.33 7,390,641.78 9,238,302.22 11,085,962.67 7.70E-05
4,988,683.20 6,651,577.60 8,314,472.00 9,977,366.40 8.00E-05
4,535,166.55 6,046,888.73 7,558,610.91 9,070,333.09 8.30E-05
4,157,236.00 5,542,981.33 6,928,726.67 8,314,472.00 8.60E-05
3,837,448.62 5,116,598.15 6,395,747.69 7,674,897.23 8.90E-05
3,563,345.14 4,751,126.86 5,938,908.57 7,126,690.29 9.20E-05
3,325,788.80 4,434,385.07 5,542,981.33 6,651,577.60 9.50E-05
3,117,927.00 4,157,236.00 5,196,545.00 6,235,854.00 9.80E-05
2,934,519.53 3,912,692.71 4,890,865.88 5,869,039.06 1.01E-04
2,771,490.67 3,695,320.89 4,619,151.11 5,542,981.33 1.04E-04
2,625,622.74 3,500,830.32 4,376,037.89 5,251,245.47 1.07E-04
2,494,341.60 3,325,788.80 4,157,236.00 4,988,683.20 1.10E-04
2,375,563.43 3,167,417.90 3,959,272.38 4,751,126.86 1.13E-04
2,267,583.27 3,023,444.36 3,779,305.45 4,535,166.55 1.16E-04
2,168,992.70 2,891,990.26 3,614,987.83 4,337,985.39 1.19E-04
2,078,618.00 2,771,490.67 3,464,363.33 4,157,236.00 1.22E-04
1,995,473.28 2,660,631.04 3,325,788.80 3,990,946.56 1.25E-04
1,918,724.31 2,558,299.08 3,197,873.85 3,837,448.62 1.28E-04
Experiment 1 Table 3. Van der Waals Equation
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
2
Banda, Marybeth Hope T.
Bautista, Rajane Faith T.
Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Redlich-Kwong Peng-Robinson
Table 2. Ideal Gas Equation
P (Pa)
3.222068709 a(T)
2.98483E-05 2.68027E-05
Page 52
0.00031 0.00036
1.00
50.00
100.00
190.60
230.00
300.00
400.00
500.00
-10,000,000.00
0.00
10,000,000.00
20,000,000.00
30,000,000.00
40,000,000.00
50,000,000.00
60,000,000.00
70,000,000.00
80,000,000.00
90,000,000.00
3.50E-05
P
Page 53
10.00 50.00 100.00 190.60 230.00 300.00 400.00
############# ############## ############# ############ ############ ############# #############
############# ############## ############# ############ ############ ############# #############
############# ############## ############# ############ ############ ############# #############
-712,970,333.68 -730,076,247.58 ############# ############ ############ ############# -879,752,994.20
-485,693,410.06 -505,920,398.12 ############# ############ ############ ############# -682,906,543.64
-353,445,278.31 -378,186,435.35 ############# ############ ############ ############# -594,671,559.46
-270,540,715.70 -302,389,812.01 ############# ############ ############ ############# -581,069,404.69
-216,651,145.33 -261,338,592.82 ############# ############ ############ ############# -652,353,758.31
-183,881,726.54 -258,747,535.80 ############# ############ ############ ############# -913,823,366.82
-193,294,414.27 -423,878,338.47 ############# ############ ############ ############# #############
-60,013,280.90 153,497,662.82 420,386,342.47 ############ ############ ############# #############
-77,951,076.78 -4,979,772.75 86,234,357.29 ############ 323,391,095.39 451,090,877.44 633,519,137.51
-71,630,389.88 -27,624,892.59 27,381,979.02 ############ 170,399,845.20 247,409,465.46 357,423,208.68
-63,872,638.47 -32,371,465.86 7,004,999.90 78,355,155.85 109,383,810.87 164,510,862.93 243,263,794.45
-56,748,267.82 -32,217,580.63 -1,554,221.65 54,007,784.83 78,170,511.71 121,099,214.29 182,425,932.26
-50,540,074.28 -30,453,978.41 -5,346,358.58 40,148,648.56 59,933,452.99 95,084,120.75 145,299,360.42
-45,198,364.95 -28,193,326.17 -6,937,027.71 31,579,385.12 48,329,348.31 78,088,166.16 120,600,763.10
-40,607,491.82 -25,863,995.30 -7,434,624.65 25,959,394.97 40,481,739.04 66,282,857.95 103,141,599.25
-36,650,254.46 -23,637,373.26 -7,371,271.76 22,102,904.15 34,920,592.13 57,693,134.22 90,225,337.21
-33,223,807.06 -21,577,936.83 -7,020,599.05 19,357,297.02 30,828,479.19 51,208,752.09 80,323,427.66
-30,241,993.73 -19,703,227.24 -6,529,769.13 17,340,536.98 27,721,221.97 46,164,063.33 72,510,979.56
-27,633,821.13 -18,009,939.89 -5,980,088.34 15,818,002.68 25,297,525.70 42,139,317.87 66,199,020.98
-25,341,061.14 -16,485,908.26 -5,416,967.17 14,639,954.09 23,362,279.68 38,858,797.21 60,996,679.40
-23,315,922.69 -15,115,774.42 -4,865,589.09 13,707,746.73 21,784,892.78 36,135,152.24 56,635,522.91
-21,519,053.66 -13,883,684.15 -4,339,472.26 12,954,639.68 20,475,478.64 33,837,375.29 52,925,799.06
-19,917,905.52 -12,774,530.35 -3,845,311.39 12,334,433.37 19,370,657.91 31,871,564.45 49,730,002.38
-18,485,421.24 -11,774,474.13 -3,385,790.24 11,814,504.97 18,424,787.87 30,168,945.32 46,946,313.10
-17,198,990.80 -10,871,105.62 -2,961,249.14 11,371,410.79 17,604,377.70 28,678,176.76 44,497,889.71
-16,039,621.03 -10,053,428.67 -2,570,688.21 10,988,037.50 16,884,436.97 27,360,273.61 42,325,754.52
-14,991,274.99 -9,311,764.53 -2,212,376.47 10,651,714.71 16,246,032.51 26,185,175.80 40,383,951.94
-14,040,344.27 -8,637,623.57 -1,884,222.69 10,352,939.69 15,674,619.58 25,129,380.81 38,636,182.56
-13,175,225.94 -8,023,570.11 -1,584,000.32 10,084,500.14 15,158,881.13 24,174,278.84 37,053,418.42
-12,385,981.62 -7,463,092.83 -1,309,481.84 9,840,861.28 14,689,906.73 23,304,962.12 35,612,184.10
-11,664,061.37 -6,950,486.00 -1,058,516.78 9,617,731.44 14,260,603.18 22,509,360.08 34,293,298.52
-11,002,079.09 -6,480,743.72 -829,074.50 9,411,750.11 13,865,265.45 21,777,602.34 33,080,940.77
-10,393,628.65 -6,049,466.99 -619,264.92 9,220,261.23 13,499,260.46 21,101,543.36 31,961,947.50
-9,833,132.88 -5,652,783.03 -427,345.72 9,041,146.69 13,158,791.30 20,474,403.54 30,925,278.16
-9,315,718.81 -5,287,275.50 -251,721.36 8,872,702.73 12,840,719.40 19,890,495.19 29,961,603.46
-8,837,114.07 -4,949,924.37 -90,937.26 8,713,547.40 12,542,429.24 19,345,011.20 29,062,985.44
-8,393,560.63 -4,638,054.28 56,328.67 8,562,550.56 12,261,724.32 18,833,860.44 28,222,626.33
-7,981,742.58 -4,349,290.03 191,275.66 8,418,780.69 11,996,746.46 18,353,538.43 27,434,669.81
-7,598,725.35 -4,081,518.42 314,990.24 8,281,463.92 11,745,912.74 17,901,024.86 26,694,042.17
Table 3. Van der Waals Equation
P (Pa)
Page 54
3.50E-05 4.50E-05 5.50E-05 6.50E-05 7.50E-05 8.50E-05 9.50E-05 1.05E-04 1.15E-04
V
Van der Waals Isotherm for Methane
Page 55
V (m³)
500.00 600.00 T (K) 1.00 100.00 190.60
############# ############# 0.0001 0.0000 364,202.56 4,275,439.72
############# ############# 0.0006 0.0000 799,423.82 2,062,936.20
############# ############# 0.0011 0.0000 559,394.36 1,257,810.06
-922,517,778.95 ############# 0.0016 0.0000 422,415.44 902,001.71
-733,474,013.79 ############# 0.0021 0.0000 338,082.64 702,654.32
-656,524,452.07 ############# 0.0026 0.0013 281,475.03 575,345.51
-660,692,145.46 ############# 0.0031 0.0120 240,979.04 487,046.46
-764,072,377.03 ############# 0.0036 0.0570 210,614.85 422,223.94
############# ############# 0.0041 0.1825 187,019.27 372,619.61
############# ############# 0.0046 0.4478 168,163.37 333,439.98
############# ############# 0.0051 0.9116 152,753.03 301,712.57
815,947,397.59 998,375,657.66 0.0056 1.6203 139,924.82 275,496.54
467,436,951.89 577,450,695.11 0.0061 2.6015 129,081.04 253,470.96
322,016,725.97 400,769,657.49 0.0066 3.8639 119,794.92 234,705.70
243,752,650.23 305,079,368.20 0.0071 5.3988 111,753.74 218,526.88
195,514,600.09 245,729,839.76 0.0076 7.1853 104,723.13 204,434.34
163,113,360.04 205,625,956.97 0.0081 9.1939 98,524.02 192,049.03
140,000,340.55 176,859,081.85 0.0086 11.3906 93,017.26 181,078.49
122,757,540.21 155,289,743.20 0.0091 13.7398 88,093.08 171,293.42
109,438,103.23 138,552,778.80 0.0096 16.2065 83,663.73 162,511.56
98,857,895.78 125,204,812.01 0.0101 18.7576 79,658.24 154,586.14
90,258,724.08 114,318,427.19 0.0106 21.3629 76,018.56 147,397.74
83,134,561.59 105,272,443.78 0.0111 23.9957 72,696.81 140,848.10
77,135,893.57 97,636,264.24 0.0116 26.6324 69,653.08 134,855.73
72,014,222.84 91,102,646.61 0.0121 29.2531 66,853.89 129,352.41
67,588,440.30 85,446,878.22 0.0126 31.8410 64,270.92 124,280.62
63,723,680.88 80,501,048.66 0.0131 34.3822 61,880.05 119,591.52
60,317,602.66 76,137,315.61 0.0136 36.8653 59,660.62 115,243.37
57,291,235.44 72,256,716.35 0.0141 39.2816 57,594.85 111,200.30
54,582,728.07 68,781,504.21 0.0146 41.6240 55,667.31 107,431.28
52,142,984.32 65,649,786.07 0.0151 43.8874 53,864.58 103,909.38
49,932,558.00 62,811,697.58 0.0156 46.0682 52,174.92 100,611.04
47,919,406.08 60,226,628.05 0.0161 48.1639 50,588.02 97,515.66
46,077,236.95 57,861,175.38 0.0166 50.1732 49,094.78 94,605.04
44,384,279.19 55,687,617.61 0.0171 52.0957 47,687.15 91,863.14
42,822,351.64 53,682,755.78 0.0176 53.9316 46,357.97 89,275.69
41,376,152.79 51,827,027.42 0.0181 55.6817 45,100.87 86,829.99
40,032,711.74 50,103,820.02 0.0186 57.3474 43,910.14 84,514.72
38,780,959.67 48,498,933.90 0.0191 58.9304 42,780.65 82,319.72
37,611,392.22 47,000,158.11 0.0196 60.4326 41,707.81 80,235.83
36,515,801.19 45,596,932.57 0.0201 61.8562 40,687.45 78,254.85
35,487,059.48 44,280,076.80 0.0701 68.7841 11,804.79 22,558.35
Table 3. Van der Waals Equation Table 4. Dieterici Equation
P (Pa) P (Pa)
Page 56
1.15E-04 1.25E-04
100.00
190.60
230.00
300.00
400.00
500.00
600.00
0.00
500,000.00
1,000,000.00
1,500,000.00
2,000,000.00
2,500,000.00
3,000,000.00
3,500,000.00
4,000,000.00
0.0000 0.0010 0.0020
P
Dieterici Isotherm for Methane
Page 57
230.00 300.00 400.00 500.00 600.00 700.00
7,275,541.90 13,988,152.08 25,651,401.28 38,821,142.73 52,919,333.54 67,625,025.99
2,636,153.37 3,668,155.08 5,157,688.32 6,655,892.64 8,158,588.36 9,663,909.62
1,565,996.82 2,115,936.45 2,904,184.93 3,693,890.58 4,484,339.01 5,275,217.18
1,112,095.99 1,486,165.04 2,021,419.87 2,557,154.64 3,093,132.61 3,629,250.72
861,896.69 1,145,176.73 1,550,252.00 1,955,541.07 2,360,938.13 2,766,397.31
703,517.96 931,428.32 1,257,221.26 1,583,127.35 1,909,090.49 2,235,086.39
594,279.57 784,909.81 1,057,361.27 1,329,879.69 1,602,431.82 1,875,003.30
514,392.29 678,216.68 912,330.05 1,146,486.28 1,380,664.06 1,614,854.20
453,431.42 597,055.67 802,286.47 1,007,546.32 1,212,820.78 1,418,103.61
405,385.13 533,241.96 715,932.38 898,643.41 1,081,364.78 1,264,092.09
366,543.39 481,751.16 646,361.48 810,986.93 975,619.98 1,140,257.38
334,492.81 439,328.29 589,114.28 738,911.71 888,714.88 1,038,521.34
307,595.77 403,771.90 541,182.67 678,602.29 816,026.36 953,452.98
284,701.92 373,539.78 500,463.90 627,395.00 754,329.62 881,266.25
264,979.54 347,519.38 465,443.78 583,373.80 701,306.64 819,241.10
247,812.38 324,887.90 435,004.24 545,125.16 655,248.38 765,372.92
232,734.10 305,023.79 408,301.75 511,583.49 614,867.14 718,151.88
219,385.34 287,448.70 384,687.90 481,930.27 579,174.23 676,419.10
207,484.70 271,788.55 363,656.12 455,526.37 547,397.95 639,270.31
196,808.65 257,746.53 344,804.84 431,865.43 518,927.16 605,989.55
187,177.45 245,084.17 327,811.68 410,541.14 493,271.58 576,002.59
178,444.86 233,607.67 312,414.81 391,223.64 470,033.32 548,843.49
170,490.74 223,157.90 298,399.40 373,642.38 448,886.11 524,130.25
163,215.44 213,602.96 285,587.51 357,573.35 429,559.84 501,546.70
156,535.62 204,832.64 273,830.49 342,829.48 411,829.04 480,828.93
150,381.04 196,754.12 263,003.23 329,253.34 395,503.96 461,754.88
144,692.11 189,288.63 252,999.61 316,711.49 380,423.81 444,136.40
139,417.90 182,368.97 243,729.11 305,090.06 366,451.41 427,812.99
134,514.66 175,937.36 235,113.98 294,291.32 353,469.03 412,646.94
129,944.58 169,943.95 227,087.10 284,230.91 341,375.03 398,519.35
125,674.82 164,345.42 219,590.21 274,835.59 330,081.26 385,327.10
121,676.73 159,103.99 212,572.50 266,041.53 319,510.83 372,980.29
117,925.17 154,186.56 205,989.44 257,792.80 309,596.40 361,400.15
114,398.02 149,563.97 199,801.86 250,040.20 300,278.75 350,517.43
111,075.73 145,210.49 193,975.18 242,740.27 291,505.57 340,270.98
107,940.97 141,103.29 188,478.71 235,854.50 283,230.48 330,606.56
104,978.28 137,222.03 183,285.15 229,348.61 275,412.24 321,475.97
102,173.88 133,548.57 178,370.13 223,192.00 268,014.04 312,836.16
99,515.42 130,066.66 173,711.83 217,357.29 261,002.90 304,648.59
96,991.78 126,761.70 169,290.66 211,819.88 254,349.23 296,878.66
94,592.98 123,620.54 165,088.94 206,557.59 248,026.37 289,495.22
27,234.86 35,543.40 47,412.76 59,282.11 71,151.47 83,020.84
Table 4. Dieterici Equation
P (Pa)
Page 58
0.0020 0.0030 0.0040 0.0050
V
Dieterici Isotherm for Methane
100.00
190.60
230.00
300.00
400.00
500.00
600.00
700.00
Page 59
V (m³)
T (K) 10.00 50.00 100.00 190.60 230.00
5.00E-05 -817,381,019.46 ############ -32,025,014.68 52,562,159.53 79,738,418.91
1.00E-04 -204,351,422.59 -34,874,060.85 -8,067,930.95 13,022,982.99 19,792,746.98
1.50E-04 -90,664,724.89 -14,708,934.64 -2,004,451.16 8,801,942.48 12,433,757.07
2.00E-04 -50,900,964.17 -7,784,057.83 -148,067.96 6,817,897.31 9,246,690.73
2.50E-04 -32,512,163.73 -4,659,530.29 549,769.95 5,591,935.02 7,400,308.98
3.00E-04 -22,532,594.90 -3,009,302.03 834,750.46 4,746,640.98 6,180,924.75
3.50E-04 -16,521,072.69 -2,043,481.67 948,154.28 4,125,586.90 5,311,284.48
4.00E-04 -12,623,213.98 -1,435,879.17 983,253.59 3,649,110.05 4,658,295.02
4.50E-04 -9,953,518.28 -1,032,625.85 980,683.65 3,271,674.86 4,149,349.59
5.00E-04 -8,045,816.55 -753,760.68 959,686.27 2,965,180.41 3,741,237.95
5.50E-04 -6,635,756.01 -554,546.94 929,920.69 2,711,287.00 3,406,552.74
6.00E-04 -5,564,374.57 -408,454.73 896,429.17 2,497,495.65 3,127,036.77
6.50E-04 -4,731,434.13 -298,991.89 861,902.39 2,314,986.19 2,890,043.87
7.00E-04 -4,071,193.87 -215,498.90 827,781.61 2,157,352.96 2,686,530.12
7.50E-04 -3,539,088.88 -150,856.80 794,823.12 2,019,829.92 2,509,852.97
8.00E-04 -3,104,044.88 -100,176.71 763,399.56 1,898,796.75 2,355,021.94
8.50E-04 -2,743,860.09 -60,019.45 733,666.16 1,791,453.65 2,218,214.01
9.00E-04 -2,442,331.17 -27,914.48 705,654.88 1,695,601.16 2,096,450.53
9.50E-04 -2,187,409.27 -2,054.09 679,328.84 1,609,487.29 1,987,375.86
1.00E-03 -1,969,984.88 18,906.12 654,614.15 1,531,699.17 1,889,102.44
1.05E-03 -1,783,067.91 35,980.63 631,418.77 1,461,084.72 1,800,099.80
1.10E-03 -1,621,222.67 49,944.94 609,643.53 1,396,695.11 1,719,113.91
1.15E-03 -1,480,170.96 61,398.90 589,188.65 1,337,741.84 1,645,107.34
1.20E-03 -1,356,508.63 70,811.37 569,957.40 1,283,564.22 1,577,214.44
1.25E-03 -1,247,499.82 78,552.43 551,858.08 1,233,604.44 1,514,707.11
1.30E-03 -1,150,925.59 84,916.73 534,804.99 1,187,388.37 1,456,968.57
1.35E-03 -1,064,971.09 90,140.74 518,718.75 1,144,510.36 1,403,472.81
1.40E-03 -988,140.38 94,415.70 503,526.24 1,104,621.32 1,353,768.46
1.45E-03 -919,191.59 97,897.23 489,160.42 1,067,419.23 1,307,466.05
1.50E-03 -857,086.81 100,712.86 475,559.89 1,032,641.42 1,264,227.70
1.55E-03 -800,953.25 102,967.60 462,668.56 1,000,058.38 1,223,758.86
1.60E-03 -750,052.69 104,748.46 450,435.16 969,468.70 1,185,801.60
1.65E-03 -703,757.39 106,127.84 438,812.86 940,694.88 1,150,129.03
1.70E-03 -661,530.79 107,166.30 427,758.86 913,579.87 1,116,540.84
1.75E-03 -622,912.12 107,914.66 417,234.03 887,984.25 1,084,859.45
1.80E-03 -587,503.91 108,415.79 407,202.54 863,783.79 1,054,926.92
1.85E-03 -554,961.84 108,705.95 397,631.59 840,867.43 1,026,602.29
1.90E-03 -524,986.43 108,815.91 388,491.07 819,135.61 999,759.34
1.95E-03 -497,316.26 108,771.89 379,753.35 798,498.80 974,284.75
2.00E-03 -471,722.27 108,596.28 371,393.04 778,876.28 950,076.45
2.05E-03 -448,003.10 108,308.25 363,386.74 760,195.04 927,042.30
2.10E-03 -425,981.16 107,924.27 355,712.92 742,388.96 905,098.88
Table 5. Berthelot Equation
P (Pa)
Page 60
0.00
5,000,000.00
10,000,000.00
15,000,000.00
20,000,000.00
25,000,000.00
30,000,000.00
35,000,000.00
40,000,000.00
45,000,000.00
50,000,000.00
4.00E-05 9.00E-05 1.40E-04 1.90E-04 2.40E-04
P
V
Berthelot Isotherm for Methane
Page 61
V (m³)
300.00 400.00 500.00 600.00 T (K) 10.00
############ ############ 234,628,147.47 284,843,387.14 0.00005 -251,084,821.60
30,623,043.38 44,828,514.65 58,348,650.47 70,840,783.10 0.0001 -77,283,846.72
18,354,129.29 26,248,968.00 33,839,213.18 40,972,568.06 0.0002 -37,077,146.28
13,262,505.17 18,682,787.76 23,931,736.49 28,923,684.42 0.0002 -21,676,131.28
10,421,603.63 14,535,117.93 18,538,978.56 22,378,358.68 0.0003 -14,186,041.75
8,596,122.08 11,905,695.02 15,139,119.57 18,258,321.54 0.0003 -9,988,958.00
7,320,122.93 10,086,514.13 12,796,959.57 15,423,486.38 0.0004 -7,404,314.26
6,376,438.03 8,751,779.26 11,084,287.02 13,352,544.59 0.0004 -5,701,348.27
5,649,549.04 7,730,153.78 9,776,914.81 11,772,910.24 0.0005 -4,520,763.68
5,072,132.27 6,922,754.63 8,745,963.57 10,528,052.39 0.0005 -3,669,188.38
4,602,219.48 6,268,450.99 7,912,026.78 9,521,619.00 0.0006 -3,035,056.12
4,212,255.19 5,727,389.98 7,223,487.68 8,691,029.73 0.0006 -2,550,342.72
3,883,383.78 5,272,467.29 6,645,329.85 7,993,860.97 0.0007 -2,171,663.51
3,602,259.86 4,884,600.70 6,152,955.10 7,400,329.85 0.0007 -1,870,294.19
3,359,168.67 4,549,963.39 5,728,574.36 6,888,909.73 0.0008 -1,626,606.68
3,146,868.01 4,258,289.48 5,359,002.59 6,443,653.14 0.0008 -1,426,820.96
2,959,847.43 4,001,795.97 5,034,258.91 6,052,493.42 0.0009 -1,261,033.50
2,793,839.17 3,774,474.32 4,746,648.55 5,706,131.37 0.0009 -1,121,979.43
2,645,486.08 3,571,611.62 4,490,143.41 5,397,284.59 0.0010 -1,004,232.37
2,512,110.82 3,389,459.00 4,259,953.82 5,120,168.61 0.0010 -903,673.56
2,391,551.88 3,224,996.97 4,052,225.87 4,870,130.48 0.0011 -817,131.47
2,282,044.94 3,075,766.18 3,863,823.48 4,643,384.89 0.0011 -742,132.19
2,182,135.60 2,939,743.17 3,692,168.62 4,436,820.89 0.0012 -676,723.27
2,090,614.12 2,815,247.92 3,535,122.45 4,247,858.07 0.0012 -619,347.28
2,006,466.00 2,700,873.86 3,390,895.56 4,074,338.05 0.0013 -568,749.78
1,928,834.13 2,595,434.40 3,257,979.44 3,914,441.61 0.0013 -523,911.31
1,856,989.36 2,497,921.56 3,135,093.35 3,766,624.52 0.0014 -483,996.59
1,790,307.48 2,407,473.53 3,021,142.97 3,629,567.50 0.0014 -448,315.98
1,728,250.98 2,323,349.10 2,915,187.60 3,502,136.67 0.0015 -416,296.14
1,670,354.50 2,244,907.29 2,816,414.15 3,383,352.10 0.0015 -387,457.27
1,616,213.11 2,171,590.94 2,724,116.17 3,272,362.52 0.0016 -361,395.39
1,565,472.80 2,102,913.43 2,637,676.98 3,168,424.88 0.0016 -337,768.48
1,517,822.72 2,038,447.89 2,556,555.76 3,070,887.68 0.0017 -316,285.37
1,472,988.81 1,977,818.27 2,480,276.32 2,979,177.27 0.0017 -296,697.01
1,430,728.49 1,920,691.99 2,408,417.67 2,892,786.60 0.0018 -278,789.32
1,390,826.26 1,866,773.87 2,340,606.25 2,811,265.78 0.0018 -262,377.53
1,353,090.05 1,815,800.97 2,276,509.45 2,734,214.27 0.0019 -247,301.44
1,317,348.10 1,767,538.34 2,215,830.15 2,661,274.30 0.0019 -233,421.66
1,283,446.35 1,721,775.38 2,158,302.08 2,592,125.29 0.0020 -220,616.43
1,251,246.20 1,678,322.74 2,103,685.95 2,526,479.14 0.0020 -208,779.02
1,220,622.66 1,637,009.76 2,051,766.08 2,464,076.24 0.0021 -197,815.58
1,191,462.66 1,597,682.16 2,002,347.61 2,404,682.00 0.0021 -187,643.29
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
P (Pa) P (Pa)
Page 62
0.00
2,000,000.00
4,000,000.00
6,000,000.00
8,000,000.00
10,000,000.00
12,000,000.00
14,000,000.00
16,000,000.00
18,000,000.00
20,000,000.00
0.00000
P
2.40E-04 2.90E-04 3.40E-04
Berthelot Isotherm for Methane
190.60
230.00
300.00
400.00
500.00
600.00
Page 63
50.00 100.00 190.60 230.00 300.00 400.00 500.00
-93,503,997.38 -39,445,275.99 20,183,383.32 41,681,622.36 77,183,466.23 ############ 170,205,020.94
-29,166,362.70 -12,961,959.85 4,616,490.88 10,897,982.18 21,229,982.56 35,001,495.33 48,163,478.01
-13,430,884.82 -5,023,672.13 4,538,294.91 8,040,542.99 13,864,269.21 21,708,093.91 29,258,536.35
-7,469,138.77 -2,122,613.40 4,236,740.75 6,617,287.43 10,612,801.17 16,041,464.51 21,297,956.78
-4,624,739.15 -828,748.44 3,862,511.71 5,649,669.92 8,671,147.09 12,804,081.53 16,823,888.33
-3,065,984.42 -178,406.33 3,507,595.47 4,931,705.47 7,353,198.55 10,682,764.77 13,932,348.31
-2,128,932.47 173,466.11 3,194,484.36 4,375,137.21 6,391,872.66 9,176,378.40 11,901,351.76
-1,527,058.20 372,277.00 2,923,951.98 3,930,687.19 5,656,771.89 8,047,956.73 10,393,109.95
-1,120,786.27 486,751.54 2,690,995.78 3,567,611.77 5,075,259.85 7,169,601.13 9,227,288.95
-835,766.19 552,242.84 2,489,744.92 3,265,517.80 4,603,210.94 6,465,752.01 8,298,417.93
-629,568.80 588,153.57 2,314,878.61 3,010,299.18 4,212,105.17 5,888,724.14 7,540,525.81
-476,619.08 605,686.85 2,161,933.22 2,791,879.18 3,882,622.36 5,406,862.79 6,910,159.96
-360,798.14 611,578.42 2,027,265.80 2,602,867.52 3,601,179.93 4,998,294.78 6,377,499.21
-271,563.56 610,012.24 1,907,928.34 2,437,722.36 3,357,936.15 4,647,403.97 5,921,380.02
-201,801.14 603,656.46 1,801,535.24 2,292,207.63 3,145,578.28 4,342,734.18 5,526,358.15
-146,579.97 594,248.89 1,706,148.43 2,163,030.74 2,958,555.51 4,075,685.59 5,180,893.84
-102,402.37 582,940.37 1,620,184.23 2,047,594.43 2,792,576.41 3,839,673.87 4,876,188.43
-66,736.68 570,502.61 1,542,339.96 1,943,822.81 2,644,269.74 3,629,570.78 4,605,414.31
-37,717.51 557,457.55 1,471,536.65 1,850,037.12 2,510,949.68 3,441,321.72 4,363,191.21
-13,948.54 544,159.77 1,406,874.50 1,764,865.28 2,390,449.57 3,271,678.06 4,145,221.30
5,630.31 530,850.16 1,347,598.08 1,687,175.07 2,281,002.02 3,118,005.99 3,948,029.58
21,834.09 517,691.41 1,293,069.14 1,616,024.00 2,181,150.81 2,978,147.34 3,768,775.64
35,296.66 504,791.94 1,242,745.10 1,550,621.20 2,089,685.14 2,850,316.65 3,605,114.94
46,516.13 492,222.26 1,196,162.10 1,490,298.24 2,005,589.98 2,733,023.94 3,455,095.01
55,887.61 480,026.22 1,152,921.35 1,434,486.26 1,928,007.97 2,625,015.94 3,317,076.67
63,727.26 468,228.93 1,112,678.30 1,382,698.20 1,856,209.89 2,525,230.76 3,189,673.52
70,290.04 456,842.31 1,075,133.79 1,334,514.56 1,789,571.60 2,432,762.71 3,071,705.03
75,783.09 445,869.02 1,040,026.88 1,289,572.15 1,727,555.70 2,346,834.55 2,962,159.61
80,375.81 435,305.28 1,007,128.99 1,247,554.91 1,669,697.00 2,266,775.45 2,860,165.43
84,207.58 425,142.92 976,239.10 1,208,186.57 1,615,590.74 2,192,003.41 2,764,967.08
87,393.79 415,370.82 947,179.68 1,171,224.52 1,564,883.11 2,122,010.96 2,675,906.72
90,030.43 405,975.97 919,793.46 1,136,454.88 1,517,263.43 2,056,353.65 2,592,408.83
92,197.77 396,944.22 893,940.57 1,103,688.39 1,472,457.80 1,994,640.48 2,513,967.69
93,963.23 388,260.84 869,496.25 1,072,756.91 1,430,223.82 1,936,526.18 2,440,137.16
95,383.70 379,910.90 846,348.86 1,043,510.61 1,390,346.15 1,881,704.64 2,370,522.09
96,507.37 371,879.53 824,398.20 1,015,815.54 1,352,632.85 1,829,903.52 2,304,771.25
97,375.20 364,152.15 803,554.11 989,551.54 1,316,912.29 1,780,879.76 2,242,571.41
98,022.13 356,714.59 783,735.21 964,610.57 1,283,030.53 1,734,415.68 2,183,642.32
98,478.09 349,553.15 764,867.90 940,895.17 1,250,849.10 1,690,315.81 2,127,732.47
98,768.75 342,654.69 746,885.45 918,317.22 1,220,243.08 1,648,404.08 2,074,615.51
98,916.23 336,006.65 729,727.18 896,796.86 1,191,099.52 1,608,521.49 2,024,087.18
98,939.61 329,597.03 713,337.84 876,261.52 1,163,316.00 1,570,524.11 1,975,962.67
Table 6. Redlich-Kwong Equation
P (Pa)
Page 64
0.00050 0.00100 0.00150 0.00200
V
Redlich-Kwong Isotherm for Methane
Page 65
600.00
214,609,160.14 T 1.00 100.00 190.60 200.00
60,982,502.60 β
36,643,904.39 a 0.461017209 0.305736194 0.249632731 0.244947819
26,457,575.32 b
20,780,042.74
17,136,928.81
14,592,828.64 V (m³)
12,712,363.03 T (K) 10.00 50.00 100.00 190.60
11,264,353.34 0.00005 -99739110.43 -50600472.64 -20105298.16 13417980.24
10,114,274.31 0.00010 -30349696.41 -15201038.18 -5689902.93 4921306.75
9,178,363.80 0.00015 -14783845.77 -6877429.71 -1621724.45 4649881.81
8,401,673.19 0.00020 -8739786.10 -3714102.38 -191804.15 4251214.15
7,746,626.15 0.00025 -5759418.48 -2203977.01 404832.38 3842147.80
7,186,639.48 0.00030 -4071162.91 -1380036.73 674137.39 3475917.80
6,702,368.23 0.00035 -3022987.93 -889099.78 796373.89 3160455.55
6,279,394.16 0.00040 -2328158.62 -577780.26 846608.72 2891011.70
5,906,748.41 0.00045 -1844297.24 -371049.36 859641.48 2660380.11
5,575,936.47 0.00050 -1494133.43 -228859.47 852893.71 2461780.71
5,280,276.66 0.00055 -1232771.99 -128353.49 835590.90 2289517.65
5,014,440.36 0.00060 -1032677.74 -55773.82 812821.66 2138981.78
4,774,125.58 0.00065 -876202.06 -2474.24 787473.11 2006485.35
4,555,820.79 0.00070 -751611.29 37177.28 761210.87 1889079.32
4,356,631.13 0.00075 -650859.22 66961.77 735000.33 1784395.08
4,174,148.60 0.00080 -568280.16 89483.79 709395.15 1690517.68
4,006,353.78 0.00085 -499792.03 106577.77 684702.31 1605887.44
3,851,540.36 0.00090 -442394.03 119560.95 661079.28 1529224.12
3,708,256.71 0.00095 -393840.78 129395.34 638592.36 1459468.89
3,575,260.03 0.00100 -352425.45 136794.12 617252.48 1395739.56
3,451,480.06 0.00105 -316832.15 142293.06 597037.42 1337295.92
3,335,990.15 0.00110 -286033.39 146299.45 577905.68 1283512.74
3,227,983.91 0.00115 -259217.62 149126.19 559805.33 1233858.63
3,126,756.31 0.00120 -235737.07 151015.97 542679.51 1187879.27
3,031,688.25 0.00125 -215069.75 152158.63 526469.90 1145184.06
2,942,233.82 0.00130 -196791.29 152703.81 511118.86 1105435.45
2,857,909.80 0.00135 -180553.92 152770.28 496570.75 1068340.31
2,778,286.94 0.00140 -166070.50 152452.91 482772.63 1033642.89
2,702,982.56 0.00145 -153102.29 151827.88 469674.60 1001119.11
2,631,654.45 0.00150 -141449.52 150956.68 457230.03 970571.82
2,563,995.65 0.00155 -130944.04 149889.17 445395.48 941826.89
2,499,730.00 0.00160 -121443.51 148665.92 434130.61 914729.98
2,438,608.41 0.00165 -112826.79 147320.05 423398.09 889143.82
2,380,405.57 0.00170 -104990.31 145878.71 413163.39 864945.90
Table 7. a, b, and β Values of T
Table 6. Redlich-Kwong Equation Peng-Robinson
P (Pa)
Table 7. Peng-Robinson Equation
0.386994874
2.68027E-05
P (Pa)
Page 66
0.00200
190.60
300.00
400.00
500.00
600.00
230
0.00
5000000.00
10000000.00
15000000.00
20000000.00
25000000.00
30000000.00
35000000.00
40000000.00
45000000.00
50000000.00
0.00005 0.00010 0.00015 0.00020 0.00025
P
V
Peng-Robinson Isotherm for Methane
Page 67
300.00 400.00 500.00 600.00 700.00
0.202867148 0.170470296 0.144261939 0.122449461 0.103967966
230.00 300.00 400.00 500.00 600.00
36971057.28 69321594.19 111037909.73 151769019.16 191753587.37
12270689.02 22434558.32 35583477.13 48432175.34 61053380.99
8719993.13 14530555.10 22158278.81 29638600.79 37007228.92
6984210.32 10992517.96 16317236.33 21554041.89 26724231.40
5869573.91 8908098.02 12981860.01 16997152.94 20968140.86
5074402.07 7512256.38 10804394.42 14054811.27 17273613.86
4473461.48 6504770.86 9263818.34 11991588.11 14695657.17
4001650.60 5740444.22 8113365.86 10461963.76 12792130.31
3620740.77 5139426.57 7220122.05 9281358.48 11327849.78
3306491.32 4653793.98 6505806.52 8341896.84 10165922.07
3042679.37 4252892.95 5921174.87 7576186.79 9221143.36
2817996.56 3916138.81 5433634.56 6939900.44 8437656.87
2624301.71 3629164.81 5020724.36 6402657.03 7777294.92
2455576.72 3381624.05 4666445.83 5942923.20 7213077.59
2307273.07 3165867.44 4359086.42 5545003.10 6725386.45
2175887.10 2976113.78 4089869.57 5197181.36 6299610.20
2058675.26 2807909.88 3852086.26 4890533.95 5924640.74
1953458.00 2657768.42 3640518.30 4618141.96 5591881.20
1858481.61 2522918.61 3451045.04 4374557.38 5294573.38
1772318.83 2401130.59 3280368.51 4155431.35 5027330.53
1693796.19 2290589.14 3125817.43 3957249.85 4785805.95
1621939.87 2189801.38 2985204.86 3777142.25 4566453.19
1555934.97 2097528.05 2856722.94 3612740.31 4366349.90
1495094.31 2012731.76 2738864.03 3462072.76 4183066.16
1438834.32 1934537.38 2630360.81 3323485.38 4014564.87
1386656.23 1862201.48 2530140.12 3195579.63 3859125.44
1338131.17 1795088.39 2437287.12 3077165.08 3715284.48
1292888.36 1732651.34 2351017.10 2967222.01 3581789.54
1250605.57 1674417.41 2270653.10 2864871.87 3457562.32
1211001.42 1619975.46 2195607.99 2769353.62 3341669.46
1173829.12 1568966.35 2125370.08 2680004.75 3233298.91
1138871.31 1521074.96 2059491.33 2596245.77 3131740.88
1105935.78 1476023.61 1997577.74 2517567.62 3036372.20
1074851.94 1433566.72 1939281.46 2443521.28 2946643.48
Table 7. a, b, and β Values of T
Peng-Robinson
Table 7. Peng-Robinson Equation
0.386994874
2.68027E-05
P (Pa)
Page 68
0.00025 0.00030 0.00035 0.00040 0.00045
V
Robinson Isotherm for Methane
190.60
230.00
300.00
400.00
500.00
600.00
Page 69
a
b
V (m³)
T (K) 1.00 100.00 190.60 200.00 300.00 400.00 500.00
0.05 166 1.66E+04 3.17E+04 3.33E+04 4.99E+04 6.65E+04 8.31E+04
0.10 83 8.31E+03 1.58E+04 1.66E+04 2.49E+04 3.33E+04 4.16E+04
0.15 55 5.54E+03 1.06E+04 1.11E+04 1.66E+04 2.22E+04 2.77E+04
0.20 42 4.16E+03 7.92E+03 8.31E+03 1.25E+04 1.66E+04 2.08E+04
0.25 33 3.33E+03 6.34E+03 6.65E+03 9.98E+03 1.33E+04 1.66E+04
0.30 28 2.77E+03 5.28E+03 5.54E+03 8.31E+03 1.11E+04 1.39E+04
0.35 24 2.38E+03 4.53E+03 4.75E+03 7.13E+03 9.50E+03 1.19E+04
0.40 21 2.08E+03 3.96E+03 4.16E+03 6.24E+03 8.31E+03 1.04E+04
0.45 18 1.85E+03 3.52E+03 3.70E+03 5.54E+03 7.39E+03 9.24E+03
0.50 17 1.66E+03 3.17E+03 3.33E+03 4.99E+03 6.65E+03 8.31E+03
0.55 15 1.51E+03 2.88E+03 3.02E+03 4.54E+03 6.05E+03 7.56E+03
0.60 14 1.39E+03 2.64E+03 2.77E+03 4.16E+03 5.54E+03 6.93E+03
0.65 13 1,279.15 2,438.06 2,558.30 3,837.45 5,116.60 6,395.75
0.70 12 1,187.78 2,263.91 2,375.56 3,563.35 4,751.13 5,938.91
0.75 11 1,108.60 2,112.98 2,217.19 3,325.79 4,434.39 5,542.98
0.80 10 1,039.31 1,980.92 2,078.62 3,117.93 4,157.24 5,196.55
0.85 10 978.17 1,864.40 1,956.35 2,934.52 3,912.69 4,890.87
0.90 9 923.83 1,760.82 1,847.66 2,771.49 3,695.32 4,619.15
1.05 8 791.85 1,509.27 1,583.71 2,375.56 3,167.42 3,959.27
1.10 8 755.86 1,440.67 1,511.72 2,267.58 3,023.44 3,779.31
1.15 7 723.00 1,378.03 1,446.00 2,168.99 2,891.99 3,614.99
1.20 7 692.87 1,320.62 1,385.75 2,078.62 2,771.49 3,464.36
1.25 7 665.16 1,267.79 1,330.32 1,995.47 2,660.63 3,325.79
1.30 6 639.57 1,219.03 1,279.15 1,918.72 2,558.30 3,197.87
1.35 6 615.89 1,173.88 1,231.77 1,847.66 2,463.55 3,079.43
1.40 6 593.89 1,131.96 1,187.78 1,781.67 2,375.56 2,969.45
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Gas: Methane CH4 Group Number: 2
Critical Temperature (K): 190.6
Name of Members:
Banda, Marybeth Hope T.
Acentric Factor: 0.008
Critical Volume (m³/mol): 0.000100327 Bautista, Rajane Faith T.
Critical Pressure (Pa): 4600000 Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
R (J/mol-K): 8.314472 Date Prepared: 24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Van der Waals Berthelot Dieterici Redlich-Kwong
Table 2. Ideal Gas Equation
P (Pa)
0.138903996 20.56006359 0.317984092 3.222068709
3.34423E-05 3.34423E-05 5.01635E-05 2.98483E-05
Ideal Gas
Page 70
0
1,000
2,000
3,000
4,000
5,000
6,000
7,000
8,000
9,000
10,000
0.00 0.20 0.40 0.60 0.80 1.00 1.20
P
V
Ideal Gas
Page 71
V (m³)
T (K) 1.00 100.00 190.60 200.00 300.00
0.05 110.84 1.66E+04 3.17E+04 3.32E+04 4.99E+04
0.10 69.28 8.30E+03 1.58E+04 1.66E+04 2.49E+04
0.15 49.27 5.54E+03 1.06E+04 1.11E+04 1.66E+04
0.20 38.11 4.15E+03 7.92E+03 8.31E+03 1.25E+04
0.25 31.04 3.32E+03 6.34E+03 6.65E+03 9.98E+03
0.30 26.17 2.77E+03 5.28E+03 5.54E+03 8.31E+03
0.35 22.62 2.37E+03 4.53E+03 4.75E+03 7.13E+03
0.40 19.92 2.08E+03 3.96E+03 4.16E+03 6.24E+03
0.45 17.79 1.85E+03 3.52E+03 3.69E+03 5.54E+03
0.50 16.07 1.66E+03 3.17E+03 3.33E+03 4.99E+03
0.55 14.66 1,511.35 2,881.06 3,023.17 4,534.98
0.60 13.47 1,385.44 2,640.99 2,771.26 4,157.08
0.65 12.46 1,278.89 2,437.86 2,558.10 3,837.32
0.70 11.59 1,187.55 2,263.74 2,375.39 3,563.23
0.75 10.84 1,108.40 2,112.83 2,217.04 3,325.69
600.00 700.00 0.80 10.18 1,039.14 1,980.79 2,078.49 3,117.84
9.98E+04 1.16E+05 0.85 9.59 978.02 1,864.28 1,956.23 2,934.44
4.99E+04 5.82E+04 0.90 9.07 923.69 1,760.71 1,847.56 2,771.42
3.33E+04 3.88E+04 0.95 8.60 875.08 1,668.05 1,750.32 2,625.56
2.49E+04 2.91E+04 1.00 8.18 831.34 1,584.65 1,662.81 2,494.29
2.00E+04 2.33E+04 1.05 7.79 791.75 1,509.20 1,583.63 2,375.51
1.66E+04 1.94E+04 1.10 7.44 755.77 1,440.60 1,511.65 2,267.54
1.43E+04 1.66E+04 1.15 7.13 722.91 1,377.97 1,445.93 2,168.95
1.25E+04 1.46E+04 1.20 6.83 692.80 1,320.56 1,385.69 2,078.58
1.11E+04 1.29E+04 1.25 6.56 665.09 1,267.74 1,330.26 1,995.44
9.98E+03 1.16E+04 1.30 6.31 639.51 1,218.98 1,279.10 1,918.69
9.07E+03 1.06E+04 1.35 6.08 615.83 1,173.83 1,231.73 1,847.63
8.31E+03 9.70E+03 1.40 5.87 593.83 1,131.91 1,187.74 1,781.64
7,674.90 8,954.05 1.45 5.67 573.36 1,092.88 1,146.78 1,720.21
7,126.69 8,314.47 1.50 5.48 554.25 1,056.45 1,108.56 1,662.87
6,651.58 7,760.17 1.55 5.31 536.37 1,022.38 1,072.80 1,609.23
6,235.85 7,275.16 1.60 5.14 519.61 990.43 1,039.28 1,558.94
5,869.04 6,847.21 1.65 4.99 503.87 960.42 1,007.78 1,511.70
5,542.98 6,466.81 1.70 4.84 489.05 932.17 978.14 1,467.24
4,751.13 5,542.98 1.75 4.71 475.08 905.54 950.20 1,425.32
4,535.17 5,291.03 1.80 4.58 461.88 880.38 923.80 1,385.73
4,337.99 5,060.98 1.85 4.45 449.40 856.59 898.84 1,348.28
4,157.24 4,850.11 1.90 4.34 437.57 834.05 875.18 1,312.80
3,990.95 4,656.10 1.95 4.23 426.35 812.66 852.74 1,279.13
3,837.45 4,477.02 2.00 4.12 415.70 792.35 831.43 1,247.16
3,695.32 4,311.21 2.05 4.02 405.56 773.02 811.15 1,216.74
3,563.35 4,157.24 2.10 3.93 395.90 754.62 791.84 1,187.77
Experiment 1 Table 3. Van der Waals Equation
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State P (Pa)
2
Banda, Marybeth Hope T.
Bautista, Rajane Faith T.
Cabayao, Kristelmae C.
Malificiado, Rhiezel R.
24-Nov-14
Table 1. a and b Values of Ethane for Different Equations of State
Peng-Robinson
Table 2. Ideal Gas Equation
P (Pa)
a(T)
2.68027E-05
Van der Waals
Page 72
1.40
1.00
100.00
190.60
200.00
300.00
400.00
500.00
600.00
700.000.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
0.00 0.20 0.40 0.60 0.80
P
V
Van der Waals
Page 73
V (m³)
400.00 500.00 600.00 700.00 T (K) 1.00 100.00 190.60
6.65E+04 8.31E+04 9.98E+04 1.16E+05 0.05 77.47 16,518.81 31,599.53
3.33E+04 4.16E+04 4.99E+04 5.82E+04 0.10 56.75 8,286.89 15,823.55
2.22E+04 2.77E+04 3.33E+04 3.88E+04 0.15 42.97 5,530.72 10,554.33
1.66E+04 2.08E+04 2.49E+04 2.91E+04 0.20 34.35 4,150.33 7,917.73
1.33E+04 1.66E+04 2.00E+04 2.33E+04 0.25 28.55 3,321.37 6,335.14
1.11E+04 1.39E+04 1.66E+04 1.94E+04 0.30 24.40 2,768.42 5,279.81
9.50E+03 1.19E+04 1.43E+04 1.66E+04 0.35 21.30 2,373.31 4,525.88
8.31E+03 1.04E+04 1.25E+04 1.46E+04 0.40 18.89 2,076.89 3,960.36
7.39E+03 9.24E+03 1.11E+04 1.29E+04 0.45 16.97 1,846.30 3,520.46
6.65E+03 8.31E+03 9.98E+03 1.16E+04 0.50 15.41 1,661.79 3,168.52
6,046.80 7,558.61 9,070.43 10,582.24 0.55 14.10 1,510.81 2,880.55
5,542.90 6,928.73 8,314.55 9,700.37 0.60 13.00 1,384.98 2,640.57
5,116.53 6,395.75 7,674.96 8,954.18 0.65 12.06 1,278.50 2,437.49
4,751.07 5,938.91 7,126.75 8,314.59 0.70 11.25 1,187.22 2,263.43
4,434.34 5,542.98 6,651.63 7,760.27 0.75 10.54 1,108.11 2,112.56
4,157.19 5,196.55 6,235.90 7,275.25 0.80 9.91 1,038.88 1,980.55
3,912.65 4,890.87 5,869.08 6,847.29 0.85 9.35 977.79 1,864.07
3,695.29 4,619.15 5,543.02 6,466.88 0.90 8.85 923.49 1,760.53
3,500.80 4,376.04 5,251.28 6,126.51 0.95 8.41 874.90 1,667.88
3,325.76 4,157.24 4,988.71 5,820.19 1.00 8.00 831.17 1,584.50
3,167.39 3,959.27 4,751.15 5,543.03 1.05 7.64 791.60 1,509.06
3,023.42 3,779.31 4,535.19 5,291.07 1.10 7.30 755.63 1,440.47
2,891.97 3,614.99 4,338.01 5,061.03 1.15 6.99 722.79 1,377.85
2,771.47 3,464.36 4,157.26 4,850.15 1.20 6.71 692.68 1,320.45
2,660.61 3,325.79 3,990.96 4,656.14 1.25 6.45 664.98 1,267.64
2,558.28 3,197.87 3,837.47 4,477.06 1.30 6.21 639.41 1,218.89
2,463.53 3,079.43 3,695.34 4,311.24 1.35 5.99 615.74 1,173.75
2,375.55 2,969.45 3,563.36 4,157.26 1.40 5.78 593.75 1,131.83
2,293.63 2,867.06 3,440.48 4,013.91 1.45 5.59 573.28 1,092.81
2,217.18 2,771.49 3,325.80 3,880.11 1.50 5.40 554.18 1,056.39
2,145.66 2,682.09 3,218.52 3,754.95 1.55 5.23 536.30 1,022.31
2,078.61 2,598.27 3,117.94 3,637.60 1.60 5.07 519.55 990.37
2,015.62 2,519.54 3,023.45 3,527.37 1.65 4.92 503.81 960.36
1,956.34 2,445.43 2,934.53 3,423.63 1.70 4.78 488.99 932.12
1,900.44 2,375.56 2,850.69 3,325.81 1.75 4.65 475.02 905.49
1,847.65 2,309.58 2,771.50 3,233.42 1.80 4.52 461.83 880.34
1,797.72 2,247.15 2,696.59 3,146.03 1.85 4.40 449.35 856.55
1,750.41 2,188.02 2,625.63 3,063.24 1.90 4.29 437.53 834.01
1,705.53 2,131.92 2,558.31 2,984.70 1.95 4.18 426.31 812.62
1,662.89 2,078.62 2,494.35 2,910.08 2.00 4.08 415.65 792.31
1,622.33 2,027.92 2,433.51 2,839.10 2.05 3.98 405.52 772.99
1,583.70 1,979.64 2,375.57 2,771.50 2.10 3.89 395.86 754.58
Table 3. Van der Waals Equation Table 4. Dieterici Equation
P (Pa) P (Pa)
Van der Waals
Page 74
1.00 1.20 1.40
Van der Waals
1.00
100.00
190.60
200.00
300.00
400.00
500.00
600.00
700.00
0.00
2,000.00
4,000.00
6,000.00
8,000.00
10,000.00
12,000.00
14,000.00
16,000.00
18,000.00
20,000.00
-0.40 0.10 0.60
P
Page 75
V (m³)
200.00 300.00 400.00 500.00 600.00 700.00 T (K) 1.00
33,164.21 49,809.77 66,455.38 83,101.00 99,746.62 ######## 0.05 -8,057.62
16,605.51 24,924.14 33,242.78 41,561.42 49,880.07 58,198.71 0.10 -1,972.83
11,075.54 16,620.38 22,165.21 27,710.04 33,254.88 38,799.71 0.15 -858.34
8,308.61 12,466.89 16,625.17 20,783.44 24,941.72 29,100.00 0.20 -472.42
6,647.83 9,974.28 13,300.74 16,627.19 19,953.65 23,280.11 0.25 -295.70
5,540.38 8,312.33 11,084.28 13,856.24 16,628.19 19,400.15 0.30 -200.73
4,749.21 7,125.12 9,501.02 11,876.92 14,252.83 16,628.73 0.35 -144.08
4,155.77 6,234.65 8,313.53 10,392.41 12,471.28 14,550.16 0.40 -107.71
3,694.16 5,542.03 7,389.90 9,237.76 11,085.63 12,933.49 0.45 -83.05
3,324.85 4,987.91 6,650.97 8,314.03 9,977.10 11,640.16 0.50 -65.61
3,022.67 4,534.53 6,046.39 7,558.25 9,070.11 10,581.97 0.55 -52.85
2,770.84 4,156.70 5,542.56 6,928.42 8,314.28 9,700.15 0.60 -43.25
2,557.74 3,836.99 5,116.24 6,395.49 7,674.74 8,953.99 0.65 -35.87
2,375.08 3,562.95 4,750.82 5,938.69 7,126.55 8,314.42 0.70 -30.08
2,216.78 3,325.45 4,434.12 5,542.79 6,651.46 7,760.13 0.75 -25.46
2,078.25 3,117.63 4,157.00 5,196.37 6,235.75 7,275.12 0.80 -21.73
1,956.02 2,934.25 3,912.48 4,890.71 5,868.95 6,847.18 0.85 -18.67
1,847.37 2,771.25 3,695.13 4,619.02 5,542.90 6,466.78 0.90 -16.14
1,750.16 2,625.41 3,500.66 4,375.92 5,251.17 6,126.42 0.95 -14.03
1,662.66 2,494.15 3,325.64 4,157.13 4,988.62 5,820.10 1.00 -12.25
1,583.50 2,375.39 3,167.28 3,959.17 4,751.07 5,542.96 1.05 -10.73
1,511.53 2,267.42 3,023.32 3,779.22 4,535.11 5,291.01 1.10 -9.43
1,445.82 2,168.85 2,891.88 3,614.91 4,337.93 5,060.96 1.15 -8.32
1,385.58 2,078.48 2,771.39 3,464.29 4,157.19 4,850.09 1.20 -7.35
1,330.17 1,995.35 2,660.53 3,325.72 3,990.90 4,656.09 1.25 -6.51
1,279.01 1,918.61 2,558.21 3,197.81 3,837.41 4,477.01 1.30 -5.77
1,231.64 1,847.55 2,463.46 3,079.37 3,695.28 4,311.19 1.35 -5.12
1,187.66 1,781.57 2,375.49 2,969.40 3,563.31 4,157.22 1.40 -4.55
1,146.71 1,720.14 2,293.58 2,867.01 3,440.44 4,013.87 1.45 -4.04
1,108.49 1,662.81 2,217.13 2,771.44 3,325.76 3,880.08 1.50 -3.59
1,072.74 1,609.17 2,145.61 2,682.04 3,218.48 3,754.91 1.55 -3.19
1,039.22 1,558.89 2,078.56 2,598.23 3,117.90 3,637.57 1.60 -2.83
1,007.73 1,511.65 2,015.57 2,519.50 3,023.42 3,527.34 1.65 -2.51
978.09 1,467.19 1,956.29 2,445.40 2,934.50 3,423.60 1.70 -2.22
950.15 1,425.28 1,900.40 2,375.53 2,850.65 3,325.78 1.75 -1.96
923.76 1,385.69 1,847.61 2,309.54 2,771.47 3,233.40 1.80 -1.73
898.79 1,348.24 1,797.68 2,247.12 2,696.57 3,146.01 1.85 -1.51
875.14 1,312.76 1,750.37 2,187.99 2,625.60 3,063.22 1.90 -1.32
852.70 1,279.10 1,705.49 2,131.89 2,558.28 2,984.68 1.95 -1.14
831.39 1,247.12 1,662.86 2,078.59 2,494.32 2,910.06 2.00 -0.98
811.11 1,216.71 1,622.30 2,027.89 2,433.49 2,839.08 2.05 -0.84
791.80 1,187.74 1,583.67 1,979.61 2,375.55 2,771.48 2.10 -0.70
Table 4. Dieterici Equation Table 5. Berthelot Equation
P (Pa) P (Pa)
Dietereci
Page 76
-10,000.00
-5,000.00
0.00
5,000.00
10,000.00
15,000.00
20,000.00
-0.50 -0.30 -0.10
P
1.10 1.60 2.10
V
Dietereci
1.00
100.00
190.60
200.00
300.00
400.00
500.00
600.00
700.00
Page 77
100.00 190.60 200.00 300.00 400.00 500.00 600.00 700.00 T (K)
16,557.83 31,672.83 33,239.03 49,892.81 66,539.73 83,183.92 99,826.74 116,466.81
8,296.69 15,841.90 16,624.23 24,944.91 33,263.87 41,582.16 49,900.09 58,217.35
5,535.08 10,562.48 11,083.87 16,629.61 22,174.59 27,719.26 33,263.78 38,808.00
4,152.79 7,922.32 8,313.29 12,472.08 16,630.44 20,788.63 24,946.73 29,104.66
3,322.94 6,338.08 6,650.82 9,977.60 13,304.11 16,630.51 19,956.85 23,283.09
2,769.52 5,281.85 5,542.46 8,314.64 11,086.63 13,858.54 16,630.42 19,402.22
2,374.11 4,527.38 4,750.74 7,126.81 9,502.74 11,878.62 14,254.46 16,630.25
2,077.51 3,961.50 4,156.94 6,235.95 8,314.85 10,393.70 12,472.54 14,551.33
1,846.78 3,521.37 3,695.09 5,543.05 7,390.94 9,238.79 11,086.62 12,934.42
1,662.18 3,169.26 3,325.60 4,988.74 6,651.82 8,314.86 9,977.90 11,640.90
1,511.13 2,881.16 3,023.29 4,535.22 6,047.09 7,558.93 9,070.77 10,582.59
1,385.25 2,641.08 2,771.36 4,157.28 5,543.15 6,929.00 8,314.84 9,700.66
1,278.73 2,437.93 2,558.19 3,837.48 5,116.74 6,395.98 7,675.21 8,954.43
1,187.42 2,263.80 2,375.47 3,563.38 4,751.25 5,939.11 7,126.96 8,314.80
1,108.28 2,112.89 2,217.11 3,325.82 4,434.49 5,543.16 6,651.81 7,760.46
1,039.03 1,980.84 2,078.54 3,117.95 4,157.33 5,196.70 6,236.06 7,275.41
977.93 1,864.32 1,956.28 2,934.54 3,912.78 4,891.00 5,869.22 6,847.43
923.61 1,760.75 1,847.60 2,771.51 3,695.39 4,619.27 5,543.15 6,467.01
875.01 1,668.08 1,750.36 2,625.64 3,500.90 4,376.15 5,251.39 6,126.63
831.27 1,584.68 1,662.85 2,494.36 3,325.85 4,157.33 4,988.82 5,820.29
791.69 1,509.22 1,583.67 2,375.58 3,167.47 3,959.36 4,751.25 5,543.13
755.71 1,440.63 1,511.68 2,267.60 3,023.49 3,779.39 4,535.28 5,291.16
722.86 1,377.99 1,445.96 2,169.00 2,892.04 3,615.06 4,338.09 5,061.10
692.75 1,320.58 1,385.71 2,078.63 2,771.53 3,464.43 4,157.33 4,850.22
665.04 1,267.76 1,330.29 1,995.48 2,660.67 3,325.85 3,991.03 4,656.21
639.47 1,219.00 1,279.12 1,918.73 2,558.33 3,197.93 3,837.53 4,477.12
615.79 1,173.85 1,231.75 1,847.67 2,463.58 3,079.49 3,695.39 4,311.30
593.80 1,131.93 1,187.76 1,781.68 2,375.59 2,969.50 3,563.41 4,157.32
573.33 1,092.90 1,146.80 1,720.24 2,293.68 2,867.11 3,440.53 4,013.96
554.22 1,056.47 1,108.58 1,662.90 2,217.22 2,771.53 3,325.85 3,880.16
536.34 1,022.39 1,072.82 1,609.26 2,145.70 2,682.13 3,218.56 3,754.99
519.59 990.44 1,039.29 1,558.97 2,078.64 2,598.31 3,117.98 3,637.64
503.84 960.43 1,007.80 1,511.73 2,015.65 2,519.57 3,023.49 3,527.41
489.03 932.18 978.16 1,467.26 1,956.37 2,445.47 2,934.57 3,423.66
475.05 905.55 950.21 1,425.34 1,900.47 2,375.60 2,850.72 3,325.84
461.86 880.39 923.82 1,385.75 1,847.68 2,309.61 2,771.53 3,233.46
449.38 856.60 898.85 1,348.30 1,797.74 2,247.18 2,696.62 3,146.06
437.55 834.06 875.19 1,312.82 1,750.43 2,188.05 2,625.66 3,063.27
426.34 812.67 852.75 1,279.15 1,705.55 2,131.94 2,558.33 2,984.72
415.68 792.36 831.44 1,247.17 1,662.91 2,078.64 2,494.37 2,910.11
405.54 773.03 811.16 1,216.76 1,622.35 2,027.94 2,433.54 2,839.13
395.89 754.62 791.84 1,187.79 1,583.72 1,979.66 2,375.59 2,771.53
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
P (Pa)
Berthelot
Page 78
-10,000.00
-5,000.00
0.00
5,000.00
10,000.00
15,000.00
20,000.00
-0.10 0.10 0.30 0.50 0.70 0.90 1.10 1.30 1.50
Axis Title
Berthelot
1.00
100.00
190.60
200.00
300.00
400.00
500.00
600.00
700.00
Page 79
V (m³)
1.00 100.00 190.60 200.00 300.00 400.00 500.00 600.00
0.05 -1,121.67 16,510.07 31,620.40 33,186.67 49,842.26 66,491.10 83,136.78 99,780.68
0.10 -238.94 8,284.74 15,828.78 16,611.13 24,932.27 33,251.71 41,570.37 49,888.58
0.15 -87.73 5,529.77 10,556.65 11,078.05 16,623.99 22,169.18 27,714.02 33,258.66
0.20 -38.96 4,149.80 7,919.04 8,310.02 12,468.92 16,627.40 20,785.68 24,943.85
0.25 -18.29 3,321.03 6,335.98 6,648.73 9,975.58 13,302.17 16,628.62 19,955.01
0.30 -8.08 2,768.19 5,280.39 5,541.00 8,313.23 11,085.28 13,857.23 16,629.14
0.35 -2.54 2,373.14 4,526.31 4,749.67 7,125.78 9,501.75 11,877.65 14,253.52
0.40 0.65 2,076.76 3,960.68 4,156.12 6,235.16 8,314.09 10,392.97 12,471.82
0.45 2.57 1,846.19 3,520.72 3,694.44 5,542.43 7,390.34 9,238.20 11,086.05
0.50 3.74 1,661.70 3,168.73 3,325.08 4,988.24 6,651.33 8,314.39 9,977.44
0.55 4.47 1,510.74 2,880.73 3,022.86 4,534.80 6,046.68 7,558.54 9,070.39
0.60 4.91 1,384.92 2,640.71 2,771.00 4,156.93 5,542.81 6,928.67 8,314.52
0.65 5.17 1,278.45 2,437.62 2,557.88 3,837.18 5,116.45 6,395.70 7,674.94
0.70 5.30 1,187.17 2,263.53 2,375.20 3,563.12 4,751.00 5,938.87 7,126.73
0.75 5.36 1,108.07 2,112.65 2,216.88 3,325.59 4,434.28 5,542.95 6,651.61
0.80 5.36 1,038.84 1,980.63 2,078.34 3,117.75 4,157.14 5,196.51 6,235.88
0.85 5.32 977.76 1,864.14 1,956.10 2,934.37 3,912.61 4,890.84 5,869.06
0.90 5.26 923.46 1,760.59 1,847.44 2,771.35 3,695.24 4,619.13 5,543.00
0.95 5.18 874.88 1,667.94 1,750.22 2,625.50 3,500.76 4,376.02 5,251.26
1.00 5.09 831.15 1,584.55 1,662.72 2,494.23 3,325.73 4,157.22 4,988.70
1.05 5.00 791.58 1,509.11 1,583.55 2,375.46 3,167.36 3,959.25 4,751.14
1.10 4.90 755.62 1,440.52 1,511.57 2,267.49 3,023.39 3,779.29 4,535.18
1.15 4.79 722.77 1,377.89 1,445.86 2,168.91 2,891.94 3,614.97 4,338.00
1.20 4.69 692.67 1,320.49 1,385.62 2,078.54 2,771.45 3,464.35 4,157.25
1.25 4.59 664.97 1,267.67 1,330.20 1,995.40 2,660.59 3,325.78 3,990.96
1.30 4.49 639.40 1,218.92 1,279.04 1,918.66 2,558.26 3,197.86 3,837.46
1.35 4.39 615.72 1,173.78 1,231.68 1,847.60 2,463.51 3,079.42 3,695.33
1.40 4.30 593.74 1,131.86 1,187.69 1,781.62 2,375.53 2,969.44 3,563.35
1.45 4.20 573.27 1,092.83 1,146.74 1,720.18 2,293.62 2,867.05 3,440.48
1.50 4.11 554.17 1,056.41 1,108.52 1,662.84 2,217.17 2,771.48 3,325.80
1.55 4.02 536.29 1,022.33 1,072.76 1,609.21 2,145.64 2,682.08 3,218.51
1.60 3.94 519.54 990.39 1,039.24 1,558.92 2,078.59 2,598.26 3,117.93
1.65 3.86 503.80 960.38 1,007.75 1,511.68 2,015.61 2,519.53 3,023.45
1.70 3.78 488.98 932.13 978.11 1,467.22 1,956.32 2,445.43 2,934.53
1.75 3.70 475.02 905.50 950.17 1,425.30 1,900.43 2,375.56 2,850.68
1.80 3.62 461.82 880.35 923.78 1,385.71 1,847.64 2,309.57 2,771.50
1.85 3.55 449.34 856.56 898.81 1,348.26 1,797.71 2,247.15 2,696.59
1.90 3.48 437.52 834.02 875.16 1,312.78 1,750.40 2,188.01 2,625.63
1.95 3.42 426.30 812.64 852.72 1,279.12 1,705.52 2,131.91 2,558.30
2.00 3.35 415.65 792.32 831.40 1,247.14 1,662.88 2,078.61 2,494.35
2.05 3.29 405.51 773.00 811.13 1,216.73 1,622.32 2,027.92 2,433.51
2.10 3.23 395.86 754.60 791.81 1,187.76 1,583.69 1,979.63 2,375.57
Table 6. Redlich-Kwong Equation
P (Pa)
Redlick-Kwong
Page 80
-5,000.00
0.00
5,000.00
10,000.00
15,000.00
20,000.00
0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00
P
V
Redlick-Kwong
Page 81
700.00
######## T 100 150 200 300 305.32 400
58,206.51 β
38,803.18 a 0.305736 0.271918 0.244948 0.202867 0.200943 0.17047
29,101.95 b
23,281.35
19,401.01
16,629.37 V (m³)
14,550.65 T (K) 1.00 100.00 190.60 200.00 300.00 400.00
12,933.88 0.05 44.22 16,529.21 31,613.89 33,194.67 49,833.30 66,483.34
11,640.47 0.10 52.61 8,289.52 15,827.15 16,613.13 24,930.02 33,249.77
10,582.23 0.15 41.86 5,531.89 10,555.93 11,078.93 16,622.99 22,168.31
9,700.36 0.20 33.94 4,151.00 7,918.63 8,310.52 12,468.36 16,626.91
8,954.17 0.25 28.37 3,321.80 6,335.71 6,649.05 9,975.22 13,301.85
8,314.58 0.30 24.32 2,768.72 5,280.21 5,541.22 8,312.98 11,085.06
7,760.27 0.35 21.26 2,373.53 4,526.17 4,749.83 7,125.60 9,501.59
7,275.24 0.40 18.88 2,077.06 3,960.58 4,156.25 6,235.02 8,313.96
6,847.28 0.45 16.97 1,846.43 3,520.64 3,694.54 5,542.32 7,390.24
6,466.88 0.50 15.41 1,661.90 3,168.67 3,325.16 4,988.15 6,651.25
6,126.51 0.55 14.11 1,510.90 2,880.67 3,022.92 4,534.72 6,046.62
5,820.18 0.60 13.01 1,385.05 2,640.67 2,771.05 4,156.86 5,542.76
5,543.03 0.65 12.07 1,278.56 2,437.58 2,557.92 3,837.13 5,116.41
5,291.07 0.70 11.25 1,187.27 2,263.50 2,375.24 3,563.07 4,750.96
5,061.02 0.75 10.54 1,108.15 2,112.62 2,216.91 3,325.55 4,434.24
4,850.14 0.80 9.92 1,038.92 1,980.61 2,078.37 3,117.72 4,157.11
4,656.14 0.85 9.36 977.83 1,864.12 1,956.13 2,934.33 3,912.58
4,477.05 0.90 8.86 923.52 1,760.57 1,847.47 2,771.33 3,695.22
4,311.24 0.95 8.41 874.93 1,667.92 1,750.24 2,625.47 3,500.74
4,157.26 1.00 8.01 831.20 1,584.54 1,662.74 2,494.21 3,325.71
4,013.91 1.05 7.64 791.63 1,509.09 1,583.57 2,375.44 3,167.34
3,880.11 1.10 7.31 755.65 1,440.50 1,511.59 2,267.47 3,023.38
3,754.94 1.15 7.00 722.81 1,377.88 1,445.88 2,168.89 2,891.93
3,637.60 1.20 6.72 692.70 1,320.47 1,385.64 2,078.52 2,771.43
3,527.37 1.25 6.46 665.00 1,267.66 1,330.21 1,995.39 2,660.58
3,423.62 1.30 6.21 639.43 1,218.91 1,279.06 1,918.64 2,558.25
3,325.81 1.35 5.99 615.75 1,173.77 1,231.69 1,847.59 2,463.50
3,233.42 1.40 5.78 593.76 1,131.85 1,187.70 1,781.60 2,375.52
3,146.03 1.45 5.59 573.29 1,092.83 1,146.75 1,720.17 2,293.61
3,063.24 1.50 5.41 554.19 1,056.40 1,108.53 1,662.83 2,217.16
2,984.70 1.55 5.24 536.31 1,022.33 1,072.77 1,609.20 2,145.64
2,910.08 1.60 5.08 519.56 990.38 1,039.25 1,558.91 2,078.59
2,839.10 1.65 4.93 503.82 960.37 1,007.76 1,511.67 2,015.60
2,771.50 1.70 4.79 489.00 932.13 978.12 1,467.21 1,956.32
Table 7. a, b, and β Values of T
Table 6. Redlich-Kwong Equation Peng-Robinson
P (Pa)
Table 7. Peng-Robinson Equation
0.386994874
2.68027E-05
P (Pa)
Peng-Robinson
Page 82
1.00
100.00
190.60
200.00
300.00
400.00
500.00
600.00
700.00
-500.00
4,500.00
9,500.00
14,500.00
19,500.00
0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80
P
V
Peng-Robinson
Page 83
500 600 700
0.144262 0.122449 0.103968
500.00 600.00 700.00
83,131.67 99,778.25 ########
41,569.09 49,887.97 58,206.52
27,713.45 33,258.39 38,803.18
20,785.36 24,943.70 29,101.95
16,628.42 19,954.91 23,281.35
13,857.09 16,629.07 19,401.01
11,877.55 14,253.47 16,629.37
10,392.88 12,471.78 14,550.65
9,238.14 11,086.02 12,933.88
8,314.34 9,977.41 11,640.47
7,558.50 9,070.37 10,582.23
6,928.64 8,314.50 9,700.36
6,395.67 7,674.92 8,954.17
5,938.84 7,126.71 8,314.58
5,542.92 6,651.60 7,760.27
5,196.49 6,235.87 7,275.24
4,890.82 5,869.05 6,847.28
4,619.11 5,543.00 6,466.88
4,376.00 5,251.26 6,126.51
4,157.20 4,988.69 5,820.18
3,959.24 4,751.14 5,543.03
3,779.28 4,535.18 5,291.07
3,614.96 4,337.99 5,061.02
3,464.34 4,157.24 4,850.14
3,325.77 3,990.95 4,656.14
3,197.85 3,837.46 4,477.05
3,079.42 3,695.33 4,311.24
2,969.44 3,563.35 4,157.26
2,867.04 3,440.48 4,013.91
2,771.48 3,325.79 3,880.11
2682.074 3218.51 3754.944
2598.26 3117.931 3637.602
2519.525 3023.449 3527.371
2445.422 2934.523 3423.624
Table 7. a, b, and β Values of T
Peng-Robinson
Table 7. Peng-Robinson Equation
0.386994874
2.68027E-05
P (Pa)
Page 84
0.80 0.90 1.00
1.00
100.00
190.60
200.00
300.00
400.00
500.00
600.00
700.00
Page 85
a
b
0.032091
V (m³)
T (K) 100.00 150.00 200.00 300.00 305.32 400.00 500.00 600.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Gas: ethane Group Number: 2
Critical Temperature (K): 305.32
Name of Members:
Acentric Factor: 0.002
Critical Volume (m³/mol): 0.000148
Critical Pressure (Pa): 488365
R (J/mol-K): 8.314472 Date Prepared:
Table 1. a and b Values of Ethane for Different Equations of State
Van der Waals Berthelot Dieterici Redlich-Kwong Peng-Robinson
Table 2. Ideal Gas Equation
P (Pa)
0.032091441 0.743925629 0.751418079 98.56642182 a (T)
4.93333E-05 4.93333E-05 0.000074 0.000450366 0.000404413
Page 86
0.05
0.1
0.15
100.00
200.00
305.32
500.00
0.00
0.50
1.00
0.050.10
0.150.20
0.250.30
0.350.40
0.45
T
P
V
Ideal Gas Isotherm
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40
P
V
Ideal Gas Isotherm
100.00
150.00
200.00
300.00
305.32
400.00
500.00
600.00
Page 87
V (m³)
T (K) 100.00 150.00 200.00 300.00 305.32 400.00 500.00 600.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
700.00 0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
1.35
1.40
1.45
1.50
1.55
1.60
1.65
1.70
1.75
1.80
1.85
1.90
1.95
2.00
2.05
2.10
Experiment 1 Table 3. Van der Waals Equation
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State P (Pa)
2
Table 1. a and b Values of Ethane for Different Equations of State
Peng-Robinson
Table 2. Ideal Gas Equation
P (Pa)
a (T)
0.000404413
Page 88
100.00
200.00
305.32
0.00
0.20
0.40
0.60
0.80
1.00
0.05 0.100.15
0.200.25
0.300.35
0.400.45
T
P
V
Van der Waals Isotherm for Ethane
100.00
150.00
200.00
300.00
305.32
400.00
500.00
600.00
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0.00 0.50 1.00 1.50 2.00 2.50
P
V
Van der Waals Isotherm for Ethane
Page 89
V (m³)
700.00 T (K) 100.00 150.00 200.00 300.00 305.32 400.00 500.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
1.35
1.40
1.45
1.50
1.55
1.60
1.65
1.70
1.75
1.80
1.85
1.90
1.95
2.00
2.05
2.10
Table 3. Van der Waals Equation Table 4. Dieterici Equation
P (Pa) P (Pa)
Page 90
T
100.00
150.00
200.00
300.00
305.32
400.00
100.00
200.000.00
0.20
0.40
0.60
0.80
1.00
0.05 0.100.15
0.200.25
0.300.35
0.400.45
P
V
Dieterici Isotherm for Ethane
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0.00 0.50 1.00 1.50 2.00
P
V
Dieterici Isotherm for Ethane
Page 91
V (m³)
600.00 700.00 T (K) 100.00 150.00 200.00 300.00 305.32 400.00 500.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
1.35
1.40
1.45
1.50
1.55
1.60
1.65
1.70
1.75
1.80
1.85
1.90
1.95
2.00
2.05
2.10
Table 4. Dieterici Equation Table 5. Berthelot Equation
P (Pa) P (Pa)
Page 92
100.00
200.00
305.32
T
2.50
100.00
150.00
200.00
300.00
305.32
400.00
100.00
200.000.00
0.20
0.40
0.60
0.80
1.00
0.05 0.100.15
0.200.25
0.300.35
0.400.45
P
V
Berthelot Isotherm for Ethane
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0.00 0.50 1.00 1.50 2.00
P
V
Berthelot Isotherm for Ethane
Page 93
V (m³)
600.00 700.00 T (K) 100.00 150.00 200.00 300.00 305.32 400.00 500.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
1.35
1.40
1.45
1.50
1.55
1.60
1.65
1.70
1.75
1.80
1.85
1.90
1.95
2.00
2.05
2.10
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
P (Pa) P (Pa)
Page 94
100.00
200.00
305.32
T
100.00
200.000.00
0.20
0.40
0.60
0.80
1.00
0.05 0.100.15
0.200.25
0.300.35
0.400.45
P
V
Redlich-Kwong Isotherm for Ethane
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0.00 0.50 1.00 1.50 2.00
P
V
Redlich-Kwong Isotherm for Ethane
2.50
100.00
150.00
200.00
300.00
305.32
400.00
Page 95
600.00 700.00
T 100 150 200 300 305.32 400 500
β
a
b
V (m³)
T (K) 100.00 150.00 200.00 300.00 305.32 400.00 500.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
0.50
0.55
0.60
0.65
0.70
0.75
0.80
0.85
0.90
0.95
1.00
1.05
1.10
1.15
1.20
1.25
1.30
1.35
1.40
1.45
1.50
1.55
1.60
1.65
1.70
Table 7. a, b, and β Values of T
Table 6. Redlich-Kwong Equation Peng-Robinson
P (Pa)
Table 7. Peng-Robinson Equation
P (Pa)
Page 96
100.00
200.00
305.32
T
2.50
100.00
150.00
200.00
300.00
305.32
400.00
100.00
200.000.00
0.20
0.40
0.60
0.80
1.00
0.05 0.100.15
0.200.25
0.300.35
0.400.45
P
V
Peng-Robinson Isotherm for Ethane
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.60
P
V
Peng-Robinson Isotherm for Ethane
Page 97
600 700
600.00 700.00
Table 7. a, b, and β Values of T
Peng-Robinson
Table 7. Peng-Robinson Equation
P (Pa)
Page 98
100.00
200.00
305.32
T
1.80
100.00
150.00
200.00
300.00
305.32
400.00
Page 99
a
b
V (m³)
T (K) 1.00 100.00 200.00 300.00 308.30 400.00 500.00
0.0005 16,629 1,662,894.40 ######## ######## ######## ######## ########
0.0010 8,314 831,447.20 ######## ######## ######## ######## ########
0.0015 5,543 554,298.13 ######## ######## ######## ######## ########
0.0020 4,157 415,723.60 ######## ######## ######## ######## ########
0.0025 3,326 332,578.88 ######## ######## ######## ######## ########
0.0030 2,771 277,149.07 ######## ######## ######## ######## ########
0.0035 2,376 237,556.34 ######## ######## ######## ######## ########
0.0040 2,079 207,861.80 ######## ######## ######## ######## ########
0.0045 1,848 184,766.04 ######## ######## ######## ######## ########
0.0050 1,663 166,289.44 ######## ######## ######## ######## ########
0.0055 1,512 151,172.22 ######## ######## ######## ######## ########
0.0060 1,386 138,574.53 ######## ######## ######## ######## ########
0.0065 1,279 127,914.95 ######## ######## ######## ######## ########
0.0070 1,188 118,778.17 ######## ######## ######## ######## ########
0.0075 1,109 110,859.63 ######## ######## ######## ######## ########
0.0080 1,039 103,930.90 ######## ######## ######## ######## ########
0.0085 978 97,817.32 ######## ######## ######## ######## ########
0.0090 924 92,383.02 ######## ######## ######## ######## ########
0.0095 875 87,520.76 ######## ######## ######## ######## ########
0.0100 831 83,144.72 ######## ######## ######## ######## ########
0.0105 792 79,185.45 ######## ######## ######## ######## ########
0.0110 756 75,586.11 ######## ######## ######## ######## ########
0.0115 723 72,299.76 ######## ######## ######## ######## ########
0.0120 693 69,287.27 ######## ######## ######## ######## ########
0.0125 665 66,515.78 ######## ######## ######## ######## ########
0.0130 640 63,957.48 ######## ######## ######## ######## ########
Table 2. Ideal Gas Equation
P (Pa)
0.246937316 56.30379931 0.593590231 8.032501751
3.85947E-05 3.85947E-05 0.000057892 3.6171E-05
Table 1. a and b Values of Ethane for Different Equations of State
Van der Waals Berthelot Dieterici Redlich-Kwong
Critical Volume (m³/mol): 0.000115784 Baquirel, Shaira Mae M.
Critical Pressure (Pa): 6140000 Comaling, Helen Lady Ruth P.
Duman-ag, Shiela Mae Q.
R (J/mol-K): 8.314472 Date Prepared: 24-Nov-14
Gas: Acetylene, C2H2 Group Number: 2
Critical Temperature (K): 308.3
Name of Members:
Apilo, Edison Phillip I.
Acentric Factor: 0.184
Experiment 1
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State
Ideal Gas
Page 100
0
2,000,000
4,000,000
6,000,000
8,000,000
10,000,000
12,000,000
14,000,000
0.0000 0.0020 0.0040 0.0060 0.0080 0.0100 0.0120 0.0140
P
V
Ideal Gas
1.00
100.00
200.00
300.00
308.30
400.00
500.00
600.00
700.00
Page 101
V (m³)
T (K) 1.00 100.00 200.00 300.00 308.30
0.0005 -969,729.38 814,239.44 ######## ######## ########
0.0010 -238,289.07 617,887.51 ######## ######## ########
0.0015 -104,060.55 459,186.83 ######## ######## ########
0.0020 -57,495.29 362,169.48 ######## ######## ########
0.0025 -36,132.03 298,283.72 ######## ######## ########
0.0030 -24,629.87 253,323.55 ######## ######## ########
0.0035 -17,756.10 220,046.95 ######## ######## ########
0.0040 -13,334.71 194,453.35 ######## ######## ########
0.0045 -10,330.79 174,169.98 ######## ######## ########
0.0050 -8,201.66 157,705.51 ######## ######## ########
0.0055 -6,640.81 144,077.31 ######## ######## ########
0.0060 -5,464.65 132,612.31 ######## ######## ########
0.0065 -4,557.88 122,834.33 ######## ######## ########
0.0070 -3,845.17 114,397.15 ######## ######## ########
0.0075 -3,275.67 107,043.06 ######## ######## ########
600.00 700.00 0.0080 -2,814.05 100,576.33 ######## ######## ########
######## ######## 0.0085 -2,435.18 94,845.67 ######## ######## ########
######## ######## 0.0090 -2,120.80 89,732.29 ######## ######## ########
######## ######## 0.0095 -1,857.37 85,141.62 ######## ######## ########
######## ######## 0.0100 -1,634.70 80,997.48 ######## ######## ########
######## ######## 0.0105 -1,445.02 77,237.79 ######## ######## ########
######## ######## 0.0110 -1,282.28 73,811.44 ######## ######## ########
######## ######## 0.0115 -1,141.77 70,676.01 ######## ######## ########
######## ######## 0.0120 -1,019.73 67,795.99 ######## ######## ########
######## ######## 0.0125 -913.18 65,141.39 ######## ######## ########
######## ######## 0.0130 -819.69 62,686.75 ######## ######## ########
######## ######## 0.0135 -737.28 60,410.32 ######## ######## ########
######## ######## 0.0140 -664.35 58,293.38 ######## ######## ########
######## ######## 0.0145 -599.55 56,319.72 ######## ######## ########
######## ######## 0.0150 -541.77 54,475.30 ######## ######## ########
######## ######## 0.0155 -490.08 52,747.82 ######## ######## ########
######## ######## 0.0160 -443.69 51,126.50 ######## ######## ########
######## ######## 0.0165 -401.94 49,601.86 ######## ######## ########
######## ######## 0.0170 -364.25 48,165.49 97,185.44 ######## ########
######## ######## 0.0175 -330.16 46,809.96 94,426.24 ######## ########
######## ######## 0.0180 -299.24 45,528.61 91,819.38 ######## ########
######## ######## 0.0185 -271.14 44,315.54 89,352.58 ######## ########
######## ######## 0.0190 -245.54 43,165.41 87,014.86 ######## ########
######## ######## 0.0195 -222.18 42,073.47 84,796.34 ######## ########
######## ######## 0.0200 -200.82 41,035.40 82,688.13 ######## ########
######## ######## 0.0205 -181.25 40,047.31 80,682.21 ######## ########
######## ######## 0.0705 68.32 11,750.35 23,550.39 35,350.43 36,329.83
Table 2. Ideal Gas Equation
P (Pa)
a(T)
3.24803E-05
Table 1. a and b Values of Ethane for Different Equations of State
Peng-Robinson
Baquirel, Shaira Mae M.
Comaling, Helen Lady Ruth P.
Duman-ag, Shiela Mae Q.
24-Nov-14
2
Apilo, Edison Phillip I.
Experiment 1 Table 3. Van der Waals Equation
Theoretical p-V Isotherms of Real Gases Based on Different Equations of State P (Pa)
Van der Waals
Page 102
1.00
100.00
200.00
300.00
308.30
400.00
500.00
600.00
700.00-2,000,000.00
0.00
2,000,000.00
4,000,000.00
6,000,000.00
8,000,000.00
10,000,000.00
12,000,000.00
14,000,000.00
0.0000 0.0200 0.0400 0.0600 0.0800
P
V
Van der Waals
Page 103
V (m³)
400.00 500.00 600.00 700.00 T (K) 1.00 100.00 200.00
######## ######## ######## ########### 0.0005 0.0000 ######## ########
######## ######## ######## 5,806,836.46 0.0010 0.0000 ######## ########
######## ######## ######## 3,872,807.33 0.0015 0.0000 ######## ########
######## ######## ######## 2,905,592.36 0.0020 0.0000 ######## ########
######## ######## ######## 2,325,045.89 0.0025 0.0000 ######## ########
######## ######## ######## 1,937,889.70 0.0030 0.0000 ######## ########
######## ######## ######## 1,661,277.52 0.0035 0.0000 ######## ########
######## ######## ######## 1,453,774.92 0.0040 0.0000 ######## ########
######## ######## ######## 1,292,356.48 0.0045 0.0002 ######## ########
######## ######## ######## 1,163,203.52 0.0050 0.0011 ######## ########
######## ######## ######## 1,057,520.44 0.0055 0.0035 ######## ########
######## ######## ######## 969,442.37 0.0060 0.0095 ######## ########
######## ######## ######## 894,908.35 0.0065 0.0219 ######## ########
######## ######## ######## 831,017.28 0.0070 0.0446 ######## ########
######## ######## ######## 775,641.40 0.0075 0.0821 ######## ########
######## ######## ######## 727,184.70 0.0080 0.1394 95,750.76 ########
######## ######## ######## 684,426.60 0.0085 0.2217 90,553.85 ########
######## ######## ######## 646,417.65 0.0090 0.3337 85,890.35 ########
######## ######## ######## 612,408.24 0.0095 0.4798 81,682.41 ########
######## ######## ######## 581,798.63 0.0100 0.6635 77,866.54 ########
######## ######## ######## 554,103.28 0.0105 0.8875 74,390.52 ########
######## ######## ######## 528,924.91 0.0110 1.1536 71,210.99 ########
######## ######## ######## 505,935.31 0.0115 1.4629 68,291.63 ########
######## ######## ######## 484,860.96 0.0120 1.8154 65,601.82 ########
######## ######## ######## 465,472.09 0.0125 2.2106 63,115.56 ########
######## ######## ######## 447,574.28 0.0130 2.6473 60,810.62 ########
######## ######## ######## 431,001.88 0.0135 3.1237 58,667.88 ########
######## ######## ######## 415,612.93 0.0140 3.6378 56,670.83 ########
######## ######## ######## 401,285.04 0.0145 4.1870 54,805.12 ########
######## ######## ######## 387,912.11 0.0150 4.7687 53,058.21 ########
######## ######## ######## 375,401.75 0.0155 5.3800 51,419.12 ########
######## ######## ######## 363,673.12 0.0160 6.0180 49,878.18 ########
######## ######## ######## 352,655.16 0.0165 6.6798 48,426.83 98,971.83
######## ######## ######## 342,285.18 0.0170 7.3625 47,057.49 96,112.09
######## ######## ######## 332,507.65 0.0175 8.0631 45,763.41 93,412.94
######## ######## ######## 323,273.21 0.0180 8.7790 44,538.54 90,861.23
######## ######## ######## 314,537.83 0.0185 9.5074 43,377.50 88,445.20
######## ######## ######## 306,262.11 0.0190 10.2458 42,275.40 86,154.32
######## ######## ######## 298,410.72 0.0195 10.9919 41,227.89 83,979.10
######## ######## ######## 290,951.83 0.0200 11.7435 40,231.01 81,911.01
######## ######## ######## 283,856.72 0.0205 12.4984 39,281.17 79,942.31
47,150.47 58,950.50 70,750.54 82,550.58 0.0705 42.8756 11,684.35 23,487.31
Table 3. Van der Waals Equation Table 4. Dieterici Equation
P (Pa) P (Pa)
Dieterici
Page 104
0.0800
1.00
100.00
200.00
300.00
308.30
400.00
500.00
600.00
700.00-2,000,000.0000
0.0000
2,000,000.0000
4,000,000.0000
6,000,000.0000
8,000,000.0000
10,000,000.0000
12,000,000.0000
0.0000 0.0200
P
Dieterici
Page 105
V (m³)
300.00 308.30 400.00 500.00 600.00 700.00 T (K) 1.00
######## ######## ######## ######## ######## ######## 0.0005 ########
######## ######## ######## ######## ######## ######## 0.0010 ########
######## ######## ######## ######## ######## ######## 0.0015 ########
######## ######## ######## ######## ######## ######## 0.0020 ########
######## ######## ######## ######## ######## ######## 0.0025 ########
######## ######## ######## ######## ######## ######## 0.0030 ########
######## ######## ######## ######## ######## ######## 0.0035 ########
######## ######## ######## ######## ######## ######## 0.0040 ########
######## ######## ######## ######## ######## ######## 0.0045 ########
######## ######## ######## ######## ######## ######## 0.0050 ########
######## ######## ######## ######## ######## ######## 0.0055 ########
######## ######## ######## ######## ######## ######## 0.0060 ########
######## ######## ######## ######## ######## ######## 0.0065 ########
######## ######## ######## ######## ######## ######## 0.0070 ########
######## ######## ######## ######## ######## ######## 0.0075 ########
######## ######## ######## ######## ######## ######## 0.0080 ########
######## ######## ######## ######## ######## ######## 0.0085 ########
######## ######## ######## ######## ######## ######## 0.0090 ########
######## ######## ######## ######## ######## ######## 0.0095 ########
######## ######## ######## ######## ######## ######## 0.0100 ########
######## ######## ######## ######## ######## ######## 0.0105 ########
######## ######## ######## ######## ######## ######## 0.0110 ########
######## ######## ######## ######## ######## ######## 0.0115 ########
######## ######## ######## ######## ######## ######## 0.0120 ########
######## ######## ######## ######## ######## ######## 0.0125 ########
######## ######## ######## ######## ######## ######## 0.0130 ########
######## ######## ######## ######## ######## ######## 0.0135 ########
######## ######## ######## ######## ######## ######## 0.0140 ########
######## ######## ######## ######## ######## ######## 0.0145 ########
######## ######## ######## ######## ######## ######## 0.0150 ########
######## ######## ######## ######## ######## ######## 0.0155 ########
######## ######## ######## ######## ######## ######## 0.0160 ########
######## ######## ######## ######## ######## ######## 0.0165 ########
######## ######## ######## ######## ######## ######## 0.0170 ########
######## ######## ######## ######## ######## ######## 0.0175 ########
######## ######## ######## ######## ######## ######## 0.0180 ########
######## ######## ######## ######## ######## ######## 0.0185 ########
######## ######## ######## ######## ######## ######## 0.0190 ########
######## ######## ######## ######## ######## ######## 0.0195 ########
######## ######## ######## ######## ######## ######## 0.0200 ########
######## ######## ######## ######## ######## ######## 0.0205 ########
35,290.48 36,270.15 47,093.70 58,896.94 70,700.19 82,503.45 0.0705 ########
Table 4. Dieterici Equation Table 5. Berthelot Equation
P (Pa) P (Pa)
Dieterici
Page 106
0.0200 0.0400 0.0600 0.0800
V
Dieterici
1.00
100.00
200.00
300.00
308.30
400.00
500.00
600.00
700.00
-250,000,000.00
-200,000,000.00
-150,000,000.00
-100,000,000.00
-50,000,000.00
50,000,000.00
P
Page 107
100.00 200.00 300.00 308.30 400.00 500.00 600.00 700.00 T (K)
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
######## ######## ######## ######## ######## ######## ######## ########
95,637.26 ######## ######## ######## ######## ######## ######## ########
90,470.57 ######## ######## ######## ######## ######## ######## ########
85,829.81 ######## ######## ######## ######## ######## ######## ########
81,639.12 ######## ######## ######## ######## ######## ######## ########
77,836.48 ######## ######## ######## ######## ######## ######## ########
74,370.66 ######## ######## ######## ######## ######## ######## ########
71,199.04 ######## ######## ######## ######## ######## ######## ########
68,285.84 ######## ######## ######## ######## ######## ######## ########
65,600.84 ######## ######## ######## ######## ######## ######## ########
63,118.34 ######## ######## ######## ######## ######## ######## ########
60,816.33 ######## ######## ######## ######## ######## ######## ########
58,675.89 ######## ######## ######## ######## ######## ######## ########
56,680.62 ######## ######## ######## ######## ######## ######## ########
54,816.27 ######## ######## ######## ######## ######## ######## ########
53,070.41 ######## ######## ######## ######## ######## ######## ########
51,432.10 ######## ######## ######## ######## ######## ######## ########
49,891.74 ######## ######## ######## ######## ######## ######## ########
48,440.79 99,983.72 ######## ######## ######## ######## ######## ########
47,071.72 97,065.78 ######## ######## ######## ######## ######## ########
45,777.79 94,313.32 ######## ######## ######## ######## ######## ########
44,552.99 91,712.64 ######## ######## ######## ######## ######## ########
43,391.94 89,251.54 ######## ######## ######## ######## ######## ########
42,289.79 86,919.07 ######## ######## ######## ######## ######## ########
41,242.17 84,705.40 ######## ######## ######## ######## ######## ########
40,245.14 82,601.68 ######## ######## ######## ######## ######## ########
39,295.13 80,599.92 ######## ######## ######## ######## ######## ########
11,686.76 23,543.43 35,362.35 36,342.77 47,171.83 58,977.53 70,781.34 82,581.38
Table 5. Berthelot Equation Table 6. Redlich-Kwong Equation
P (Pa)
Berthelot
Page 108
-250,000,000.00
-200,000,000.00
-150,000,000.00
-100,000,000.00
-50,000,000.00
0.00
50,000,000.00
0.0000 0.0200 0.0400 0.0600 0.0800
V
Berthelot
1.00
100.00
200.00
300.00
308.30
400.00
500.00
600.00
700.00
Page 109
V (m³)
1.00 100.00 200.00 300.00 308.30 400.00 500.00 600.00
0.0005 ######## ######## ######## ######## ######## ######## ######## ########
0.0010 ######## 87,440.00 ######## ######## ######## ######## ######## ########
0.0015 ######## ######## ######## ######## ######## ######## ######## ########
0.0020 ######## ######## ######## ######## ######## ######## ######## ########
0.0025 ######## ######## ######## ######## ######## ######## ######## ########
0.0030 ######## ######## ######## ######## ######## ######## ######## ########
0.0035 ######## ######## ######## ######## ######## ######## ######## ########
0.0040 ######## ######## ######## ######## ######## ######## ######## ########
0.0045 ######## ######## ######## ######## ######## ######## ######## ########
0.0050 ######## ######## ######## ######## ######## ######## ######## ########
0.0055 ######## ######## ######## ######## ######## ######## ######## ########
0.0060 ######## ######## ######## ######## ######## ######## ######## ########
0.0065 ######## ######## ######## ######## ######## ######## ######## ########
0.0070 ######## ######## ######## ######## ######## ######## ######## ########
0.0075 ######## 97,185.41 ######## ######## ######## ######## ######## ########
0.0080 ######## 91,908.65 ######## ######## ######## ######## ######## ########
0.0085 ######## 87,164.81 ######## ######## ######## ######## ######## ########
0.0090 ######## 82,878.83 ######## ######## ######## ######## ######## ########
0.0095 ######## 78,988.74 ######## ######## ######## ######## ######## ########
0.0100 ######## 75,443.00 ######## ######## ######## ######## ######## ########
0.0105 ######## 72,198.47 ######## ######## ######## ######## ######## ########
0.0110 ######## 69,218.80 ######## ######## ######## ######## ######## ########
0.0115 ######## 66,473.20 ######## ######## ######## ######## ######## ########
0.0120 ######## 63,935.38 ######## ######## ######## ######## ######## ########
0.0125 ######## 61,582.84 ######## ######## ######## ######## ######## ########
0.0130 ######## 59,396.16 ######## ######## ######## ######## ######## ########
0.0135 ######## 57,358.51 ######## ######## ######## ######## ######## ########
0.0140 ######## 55,455.27 ######## ######## ######## ######## ######## ########
0.0145 ######## 53,673.64 ######## ######## ######## ######## ######## ########
0.0150 ######## 52,002.39 ######## ######## ######## ######## ######## ########
0.0155 ######## 50,431.62 ######## ######## ######## ######## ######## ########
0.0160 ######## 48,952.58 ######## ######## ######## ######## ######## ########
0.0165 ######## 47,557.49 98,921.20 ######## ######## ######## ######## ########
0.0170 ######## 46,239.43 96,064.72 ######## ######## ######## ######## ########
0.0175 ######## 44,992.23 93,368.53 ######## ######## ######## ######## ########
0.0180 ######## 43,810.32 90,819.52 ######## ######## ######## ######## ########
0.0185 ######## 42,688.75 88,405.95 ######## ######## ######## ######## ########
0.0190 ######## 41,623.00 86,117.32 ######## ######## ######## ######## ########
0.0195 ######## 40,609.04 83,944.17 ######## ######## ######## ######## ########
0.0200 ######## 39,643.18 81,877.97 ######## ######## ######## ######## ########
0.0205 ######## 38,722.09 79,911.02 ######## ######## ######## ######## ########
0.0705 -1,497.29 11,638.10 23,485.04 35,305.64 36,286.27 47,117.76 58,925.92 70,731.84
Table 6. Redlich-Kwong Equation
P (Pa)
Page 111
700.00
######## T 1.00 100.00 200.00 300.00 308.30 400.00
######## β
######## a 1.299313 0.810947 0.6247 0.498213 0.489319 0.402695
######## b
########
########
######## V (m³)
######## T (K) 1.00 100.00 200.00 300.00 308.30 400.00
######## 0.0005 ######## ######## ######## ######## ######## ########
######## 0.0010 ######## 97123.89 ######## ######## ######## ########
######## 0.0015 ######## 220951.08 866900.75 ######## ######## ########
######## 0.0020 ######## 226177.42 693876.53 ######## ######## ########
######## 0.0025 ######## 210470.49 576479.40 933161.95 962516.55 ########
######## 0.0030 ######## 191976.98 492419.20 786357.65 810580.17 ########
######## 0.0035 ######## 174782.60 429493.56 679411.87 700026.59 926849.32
######## 0.0040 -77818.90 159686.03 380705.71 598047.71 615988.50 813486.01
######## 0.0045 -61392.72 146630.45 341807.60 534073.80 549953.85 724833.19
######## 0.0050 -49634.33 135353.56 310085.60 482456.44 496699.91 653605.02
######## 0.0055 -40931.88 125574.14 283730.23 439932.65 452845.07 595123.77
######## 0.0060 -34313.21 117043.11 261490.61 404294.90 416103.60 546248.59
######## 0.0065 -29163.86 109552.80 242475.25 373996.42 384875.11 504792.23
######## 0.0070 -25080.03 102933.77 226032.08 347921.29 358005.68 469184.62
######## 0.0075 -21787.56 97048.52 211673.32 325244.22 334642.35 438269.57
######## 0.0080 -19095.03 91785.40 199026.96 305341.75 314141.03 411176.79
######## 0.0085 -16865.51 87053.33 187804.39 287734.11 296006.26 387238.68
######## 0.0090 -14998.98 82777.56 177778.30 272046.12 279850.70 365934.54
######## 0.0095 -13421.00 78896.38 168767.27 257980.11 265367.13 346852.32
######## 0.0100 -12075.25 75358.45 160624.74 245296.94 252308.81 329661.62
######## 0.0105 -10918.49 72120.79 153231.04 233802.27 240475.23 314094.48
######## 0.0110 -9917.08 69147.21 146487.51 223336.55 229701.84 299931.28
######## 0.0115 -9044.52 66407.01 140312.07 213767.53 219852.28 286990.27
######## 0.0120 -8279.74 63874.02 134635.88 204984.73 210812.62 275119.80
######## 0.0125 -7605.78 61525.80 129400.80 196895.09 202486.91 264192.31
######## 0.0130 -7008.89 59343.00 124557.36 189419.65 194793.79 254099.71
######## 0.0135 -6477.82 57308.86 120063.22 182491.05 187663.81 244749.86
######## 0.0140 -6003.30 55408.79 115881.93 176051.39 181037.32 236063.67
######## 0.0145 -5577.62 53630.04 111981.93 170050.69 174862.81 227972.90
######## 0.0150 -5194.35 51961.42 108335.79 164445.55 169095.57 220418.35
######## 0.0155 -4848.08 50393.04 104919.50 159198.11 163696.59 213348.43
######## 0.0160 -4534.23 48916.19 101712.00 154275.18 158631.69 206717.95
######## 0.0165 -4248.90 47523.12 98694.73 149647.57 153870.79 200487.17
82,536.37 0.0170 -3988.77 46206.91 95851.25 145289.48 149387.33 194621.02
P (Pa)
Table 7. Peng-Robinson Equation
0.667542534
3.24803E-05
Table 7. a, b, and β Values of T
Table 6. Redlich-Kwong Equation Peng-Robinson
P (Pa)
Page 113
500.00 600.00 700.00
0.326958 0.265271 0.21423
500.00 600.00 700.00
######## ######## ########
######## ######## ########
######## ######## ########
######## ######## ########
######## ######## ########
######## ######## ########
######## ######## ########
######## ######## ########
914629.63 ######## ########
823972.52 993785.19 ########
749668.62 903754.40 ########
687658.72 828682.72 969414.14
635124.49 765127.48 894880.97
590047.98 710627.23 830991.19
550946.29 663375.37 775616.80
516705.26 622015.96 727161.64
486471.55 585511.42 684405.05
459580.52 553054.28 646397.53
435506.84 524006.74 612389.46
413829.77 497858.32 581781.10
394208.39 474195.63 554086.90
376363.49 452680.27 528909.58
360064.28 433032.64 505920.95
345118.24 415019.64 484847.49
331363.59 398445.41 465459.44
318663.31 383144.19 447562.38
306900.66 368974.74 430990.67
295975.49 355815.96 415602.36
285801.44 343563.45 401275.05
276303.61 332126.69 387902.66
267416.75 321426.84 375392.80
259083.76 311394.90 363664.63
251254.40 301970.23 352647.10
243884.37 293099.30 342277.52
P (Pa)
Table 7. Peng-Robinson Equation
0.667542534
3.24803E-05
Table 7. a, b, and β Values of T
Peng-Robinson