Linear Interpolation Homework Review
Dec 14, 2015
1. Estimate the viscosity of water at 55oF
(x1, y1) --> (50, 1.310)(x2, y2) -->(55, ?)(x3, y3) --> (60, 1.129)
2. Estimate the viscosity of water at 142oF
(x1, y1) --> (140, 0.470)(x2, y2) --> (142, ?)(x3, y3) --> (160, 0.401)
3. What is the difference in viscosity of 155oF water and 55oF water?... Know 55oF is 1.220cP from problem 1
(x1, y1) --> (140, 0.470)(x2, y2) --> (155, ?)(x3, y3) --> (160, 0.401)
1.220 – 0.418 = 0.802 cP
4. At what temperature is the viscosity of water 1cP?
(x1, y1) -->(1.129, 60)(x2, y2) --> (1, ?)(x3, y3) -->(0.982, 70)
5. Johnny measured the viscosity of his sample to be 1.55cP. What is the likely temperature of his sample?
(x1, y1) -->(1.794, 32)(x2, y2) -->(1.55, ?)(x3, y3) -->(1.546, 40)
7. Use the data points at 180oF and 200oF to estimate the viscosity of water at 205oF. What is the danger of doing this?
(x1, y1) --> (180, 0.347)(x2, y2) --> (205, ?)(x3, y3) --> (200, 0.305)
8. Find the volume of steam at 550oF and 433psia.
(x1, y1) --> (400, 1.3840)(x2, y2) --> (433, ?)(x3, y3) --> (450, 1.2152)
Temperature, oF Pressure, 400psia Pressure, 450psia
550 1.3840 1.2152
9. Find the volume of steam at 600oF and 433psia.
(x1, y1) --> (400, 1.4765)(x2, y2) --> (433, ?)(x3, y3) --> (450, 1.3001)
Temperature, oF Pressure, 400psia Pressure, 450psia
600 1.4765 1.3001
10. Find the volume of steam at 571oF and 433psia.
(x1, y1) --> (550, 1.2726)(x2, y2) --> (571, ?)(x3, y3) --> (600, 1.3601)
Temperature, oF Pressure, 400psia Pressure, 433psia Pressure, 450psia
550 1.3840 1.2726 (from prob 8) 1.2152
600 1.4765 1.3601 (from prob 9) 1.3001
11. Find the volume of steam at 616oF and 630psia.
(x1, y1) --> (600, 0.94605)(x2, y2) --> (616, ?)(x3, y3) --> (650, 1.01133)
Temperature, oF Pressure, 600psia Pressure, 630psia Pressure, 700psia
600 0.94605 0.79332
616
650 1.01133 0.85242
(x1, y1) --> (600, 0.94605)(x2, y2) --> (630, ?)(x3, y3) --> (700, 0.79332)
OR
x = temperature x = pressure
11. Find the volume of steam at 616oF and 630psia.
(x1, y1) --> (600, 0.79332)(x2, y2) --> (616, ?)(x3, y3) --> (650, 0.85242)
Temperature, oF Pressure, 600psia Pressure, 630psia Pressure, 700psia
600 0.94605 0.79332
616 0.96694
650 1.01133 0.85242
11. Find the volume of steam at 616oF and 630psia.
(x1, y1) --> (600, 0.96694)(x2, y2) --> (630, ?)(x3, y3) --> (700, 0.81223)
Temperature, oF Pressure, 600psia Pressure, 630psia Pressure, 700psia
600 0.94605 0.79332
616 0.96694 0.81223
650 1.01133 0.85242