Name__________________
Chapter 2 Review Sheet
Write the number of significant figures in the blank.
1.__4___ 2304
4.__4___ 0.02340
7.__5___ 150010
10.___4__ 9.760
2.___3__ 2340
5.__4___ 2.603
8.__2___ 1.5 x 106
11.___3__ 0.00340
3.__4___ 2.340
6.__2___ 150000
9.__3___ 2.40 x10-3
12.__4___ 105600
Round the following numbers to 3 significant figures.
13._1.84 x106__ 1844863
15.___6.80x 10-3_ 0.0067987
17.____2.50 x 103_ 2503
14.__4.00______ 4
16.___6.86_____ 6.8578
18.__3.04 x 104___ 30409
Answer to the following with the correct number of significant figures. Circle your answer
19. 6.35 + 41.487 = 47.84
20. 23.339 - 16.1 =7.2
6
21. 6.8 x 105 + 3.52 x 105 = 1.0 x 10
22. 3.2 x 10-3 - 7.9 x 10-4 = 2.4 x 10-3
23. 593 x 20 = 1 x 104
24. 3210 x 460 = 1.5 x 106
25.
4
25. 6. 4646987  10 = 1.12 x1012
5. 78  108
56. 987
 8.36
6.82
26. Using different rulers, Bruce and Pete each measure the length of the same object three times.
a. Bruce’s three measurements are 19 cm, 20 cm, and 22 cm. Calculate the average value of his
measurements and express the answer with the correct number of significant figures.
20 cm
b. Pete’s three measurements are 20.9 cm, 21.0 cm, and 21.0 cm. Calculate the average value of his
measurements and express the answer with the correct number of significant figures.
21.0 cm
1
c. Whose measurements are more precise?
Pete
d. The actual length of the object is 20.0 cm. Whose measurements are more accurate?
Bruce
e. What is the % error of Pete’s average measurement?
5.00%
f. What is the percent error of Bruce’s average measurement?
0%
27. Complete the following tables
Quantity measured
Base unit
Symbol
Prefix
Abbreviation
Meaning
Length
Meter
m
milli
m
1000 times smaller
Mass
Kilogram
kg
kilo
k
1000 times larger
Amount of
mole
mol
centi
c
100 times smaller
Temperature
Kelvin
K
micro

1 x 106 times smaller
Time
seconds
s
nano
n
1,000,000,000 times smaller
Energy
Joule
J
Mega
M
1 x 106 times larger
substance
Problems. Answer the following questions. Show your work, include the units, and use the correct number of
significant figures.
28. A piece of metal has a mass of 46.7 g and a volume of 3.7 mL. What is its density?
13g/mL
29. What is the density of a block of wood with the following dimensions
2
Length
15.24 cm
Width
6.23 cm
Height
3.56 cm
Mass
253 g
0.749 g/cm3
30. The density of a piece of metal is determined by the water displacement method. The metal had a mass of
23.47 g. A graduated cylinder was filled with 27.3 mL of water and after the metal was added the volume was
43.7 mL. What is the density? 1.43 g/mL
31. A chemical reaction takes place at 20°C. What is this temperature in Kelvins?
293 K
32. A typical refrigerator keeps food at 277 K. What is this temperature in degrees Farhenhiet?
40ᵒF
33. How many mL are in 0.037 quarts?
3.5 x 101 mL
1 L = 1.057 qt
1 gram = 0.0353 oz
1 kg = 2.20 lbs
1 inch = 2.54 cm
34. How many micrograms are in 6.8 x 10-7 ounces?
1.9 x 101 µg
35. Calculate the length in km of a sign 25.0 inches long.
6.35 x 10-4 km
3
36. Find the mass in grams of 327 mL liters of Al. The density of Al is 2.70 g/cm3.
883 g
37. Convert the density of Al to pounds/quart. The density of Al is 2.70 g/cm3.
5.61 lbs/qt
38. A molecule is traveling at a speed of 420 meters per second. What is its speed in miles per hour?
940 mi/hr
39. Explain why the following statements are true.
A. The measurement 90.7 g has three significant figures.
Zeros between two significant figures are significant
B. The measurement 0.0742 L has three significant figures.
Zeros that function as place holders are not significant
C. The measurement 18200 m has three significant figures.
Zeros that function as place holders are not significant
D. The measurement 18.200 seconds has five significant figures.
Zeros after a number after a decimal are significant
40. Use your calculator to answer the following. Write your answer in scientific notation.
4
A.
6,000,000 x 800,000 = 5 x 1012
6,000,000
 800,000
6,000,000
+800,000
E.
G.
7 x 106
B.
 6 x 10  x 8 x 10   5 x 1012
 6 x 10   8 x 10-3
8 x 10 
6
5
6
C.
D.
5 x 106
8
 6 x 10 
  8 x 10 
 8 x 108
F.
 6 x 10 
  8 x 10 
 - 8 x 108
6
6
H.
8
8
6,000,000
= 8
800,000
41. Matching: Match each description in Column B to the correct term in Column A.
Column A
__b___ 1. accuracy
__e___ 2. measurement
__a___ 3. precision
__f___ 4. scientific notation
___d__ 5. experimental value
___c__ 6. significant figures
Column B
a. measure of how close a series of measurements are to one another
b. measure of how close a measurement comes to the actual value
c. digits in a measurement that are known plus one that is estimated
d. a value determined in the laboratory e. a quantity that has both a number and a unit
f. a method of expressing numbers as a product of a coefficient and a power of 10.
42. Make the following conversions by using conversion factors. When using conversion factors show your
work and include the units. Express your answers to the correct number of significant figures.
Answer
Conversion factor work
1. 46 cm to m
46 cm
2. 499 dL to cL
499 dL
= 0.46 m
= 4.99 x 103 cL
5
3. 105 cm to kilometers
1.05 x 10-3 km
4. 0.0031 mm to km
3.1 x 10-9 km
5. 5.46 x 10-5 g to μg
54.6µg
6. 465,000 ng to mg
.465 mg
7. 8500 cm to km
.085 km
8. 6.7 x 106 μL to mL
6.7 x 103 mL
9. 48,000,000 kg to mg
4.8 x 1013 mg
10. 780 mm to m
43. Convert the following.
A. 140,000 miles to kilometers 2.3 x 105 km
0.78 m
Equivalence Statements
1 gal = 4 qt
1 in = 2.54 cm
1 L = 1.06 qt
1 lb = 454 g
1 mi =1760 yds 1 pint = 2 cups
1 qt = 2 pints
1 ton = 2000 lbs
1 yd = 3 ft.
1 mile = 1.61 km
3
1 m = 1.094 yds 1 L = 1000 cm
6
B. 30 days to milliseconds 3 x 109 ms
C. 15 pints to microliters 7.1 x 106µL
D. 50.5 kilometers to feet 1.66 x 105 ft
E. 23 qts = ?L 22L
44. In The Lord of the Rings, Frodo and Sam use a rope to rappel down a cliff. The rope is 30 ells long. How
high was the cliff in meters if the rope reached the bottom? (1 ell = 45 in) 30 m
45. Calculate the number of laboratory reports a teacher must grade if each student does 25 experiments. There
are 5 classes of 32 students each. 4 x 103 Lab Reports
46. Visible light, as well as ultraviolet, infrared, X-ray, and other radiation, is characterized by what is called
wavelength. The wavelength of certain infrared light is 30 µm. How many feet is this? 1 x 10-3 ft
47. Express 48 cal/s in J/hr 7.2 x 105 J/hr
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48. A NASCAR racecar can attain speeds over 195 mi/hr on super speedways. How fast is this in km/hr? 3.14 x
102 km/hr
49. A football field is exactly 100 yards long (from goal line to goal line) how many nanometers is that? 9 x
1010 nm
50. Convert 15.0 ft3 to m3 4.26 x 10-1 m3
51. The silica gel which is used is used to protect sealed overseas shipments from moisture seepage has a
surface area of 6.0 x 105 m2/kg. What is this surface area in square feet per gram? 6.5 x 103 ft2/g
Klingon Units of Length:
Length
1 boq = 4.26 rach = 6.43 wab
1 wab = 25.77 jaj = 0.155 boq
1 jaj = 17.5 ngugh = 0.0257 rach
52. The length of a Klingon Warship is 2.46 ngugh. Convert this to boq. 8.46 x 10-4 boq
53. Aluminum has a specific heat of 0.902 J/g x oC. How much heat is lost when a piece of aluminum with a
mass of 23.984 g cools from a temperature of 415.0 oC to a temperature of 22.0 oC? -8.50 x 103 J
8
54. The temperature of a sample of water increases by 69.5 oC when 24 500 J are applied. The specific heat of
liquid water is 4.18 J/g x oC. What is the mass of the sample of water? 84.3 g
55. 850 calories of heat are applied to a 250 g sample of liquid water with an initial temperature of 13.0 oC.
Find a) the change in temperature and b) the final temperature. (remember, the specific heat of liquid water, in
calories, is 1.00 cal/g x oC.) a) 3.4°C b) 16.4 °C
56. When 34 700 J of heat are applied to a 350 g sample of an unknown material the temperature rises from
22.0 oC to 173.0 oC. What must be the specific heat of this material? 0.66 J/g°C
57. The temperature of Dry Ice (sublimation temperature at normal pressure) is -109°F. Is this higher or lower
than temperature of boiling ethane (a component of bottled gas), which is -88°C? -78.3 °C higher
58. Mecury boils at 675°F and solidifies at -38.0°F, at 1 atm pressure. Express these temperatures in Kelvin.
a) 630 K
b) 234.3 K
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