1 Chapter 1 Chemistry: Matter and Measurement 1 Why Study Chemistry? aka Why are you here? Huh? Why Study Chemistry? aka Why are you here? • What’s the difference? Ethanol CH 3 CH 2 OH Methanol CH 3 OH ☺ Why Study Chemistry? aka Why are you here? 100% NATURAL 7- UP Now with NATURAL citric acid!! Natural Non-Natural Why Study Chemistry? aka Why are you here? • Medicine • Energy sources • Materials • Technology • Food • Agriculture • Cooking • Cars, clothes, computers, sporting goods
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Chapter 1web.gccaz.edu/~jaszi38221/2014/Fall/CHM 151... · 2 Scientific Method •A systematic way to conduct research – Define the problem – Perform experiments and make observations
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• Zeroes in the middle of a number are significant (3406 mg).
• Zeroes at the beginning of a number are NOT significant. Called leading zeros. (0.000345 km).
• Zeroes at the end of a number and after the decimal point are significant. Called following zeros. (43.21000 g).
• Zeroes at the end of a number and before the decimal point may or may not be significant (6890 ft). You will have to look at the measurement to determine this.Ambiguous. Not sure if the measurement to the 10’s or 1’s place.
Rules for Significant Figures
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Scientific Notation and Powers of tensSometimes certain numbers, especially large or small numbers, are awkward to
write
0.000000000000013cmA better way to write this is by using scientific notation
How to write using scientific notation
13
1.3
•Remove all leading zeros
•Write all numbers after the first non-zero number
•Place the decimal after the first non-zero number
•Add “x10” after the number
•Count how many spaces the decimal moves from its original location
•If the decimal point moves to the right, the exponent will be negative
•If the decimal point moves to the left, the
exponent will be positive
1.3 x 10
1.3 x 10-14
Scientific Notation and Powers of tens
Write the following numbers in scientific notation and
place in order of increasing value:
32
•1 x 10-6
•3 x 10-5
•8 x 105
•700000
•10
•0.001
•0.00002
•1 x 104
Scientific Notation Practice
• Addition and Subtraction– Combine numbers with same exponent and add numbers
– 7.4 x 103 + 2.1 x 103 = 9.5 x 103
• Multiplication– Add exponents and multiply numbers
– 8.0 x 104 * 5.0 x 102 = 40 x 106 = 4.0 x 107
• Division– Subtract exponents and divide numbers
– 6.9 x 107 / 3.0 x 10-5 = 6.9/3.0 x 107-(-5) = 2.3 x 1012
How to Use Your Calculator
• To enter 1.00 x 104 in your calculator, DO NOT enter “x” or “10”.
• Instead, use the exponent key (“EXP” or “EE”).
• Press: 1.00 “EXP” (or “EE”) 4
• Rule of thumb, “EE” and “EXP” basically mean x10 within scientific notation.
Significant Figures
•1.45
•0.38
•0.0670
•301.9
•072.8
•1.0
•44.20
•278
•1098.40
•0.00041560
•98.76
•100
•190
•1.90 x 103
•1063
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How many significant figures are in the following assuming they are measurements?
Significant Figures in Calculations
• Don’t round for sig. figs. until the END of all calculations. Keep extra sig figs between steps.
• Multiplication and division: report to the least number of significant figures.
– Ex: 2.8 x 4.5039 2 sig. figs. in answer
= 12.61092 13
• Addition and subtraction: report to the least number of decimal places.
– Ex: 2.097 – 0.12 2 digits after decimal
= 1.977 1.98
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Significant Figures Practice
• Calculate the following using the correct number of sig figs:
1.67890 x 56.32
• 94.56
9.0210 + 856.1
• 865.1
(6.02 + .5) x (3.14 + 2.579)
Be careful when you must use both rules
in one calculation.
Use one rule at a time
Dimensional Analysis
•1 dozen eggs = 12 eggs
•1 inch = 2.54 cm
•3 feet = 1 yard
•1 Mm = 1x106 m
1dozen 1
eggs 12
38
1eggs 12
dozen 1
1cm 2.54
inch 1
1yard 1
feet 3
11inch
cm 2.54
1feet 3
yard 1
or
or
or
We use conversion factors convert from one unit to another unit.
1m 10
Mm 16
1Mm 1
m 106
or
Dimensional Analysis
in 12
ft 1in 12.77
How many feet are in 12.77 in?
1.064 ft
How many feet are in 562.0 cm?
in 12
ft 1
cm 2.54
in 1 cm 0.562 18.44 ft
How many inches are in 52 km?
More than one possible way to solve this problem:
• km → m → cm → in
• km → mi → ft → in
Dimensional Analysis
• A cop clocks you going 4.47 x 10-2 km/s. Were you speeding? If so, are you going to jail?
• 1 mi = 1.61 km
• 60 s = 1 min
• 60 min = 1 hr
Density
V
m density
•If a steel ball bearing weighs 54.2 grams and has a volume of 6.94 cm3, what is its density?
•If a steel beam is measured to have a volume of 94390 cm3, how much does it weigh?