OpenStax Chemistry: Atoms First 2e
1.6: Mathematical Treatment of Measurement Results
Chemistry: Atoms First 2e
1: Essential Ideas
1.6: Mathematical Treatment of Measurement Results
57. Write conversion factors (as ratios) for the number of:
(a) yards in 1 meter
(b) liters in 1 liquid quart
(c) pounds in 1 kilogram
Solution
(a) ; (b) ; (c)
58. Write conversion factors (as ratios) for the number of:
(a) kilometers in 1 mile
(b) liters in 1 cubic foot
(c) grams in 1 ounce
Solution
(a) ; (b) ; (c)
59. The label on a soft drink bottle gives the volume in two units: 2.0 L and 67.6 fl oz. Use this
information to derive a conversion factor between the English and metric units. How many
significant figures can you justify in your conversion factor?
Solution
Divide the total number of liters by the total number of fluid ounces.
Only two significant figures are justified.
60. The label on a box of cereal gives the mass of cereal in two units: 978 grams and 34.5 oz.
Use this information to find a conversion factor between the English and metric units. How many
significant figures can you justify in your conversion factor?
Solution
28.3 g = (exactly) 1 oz, three significant figures
61. Soccer is played with a round ball having a circumference between 27 and 28 in. and a
weight between 14 and 16 oz. What are these specifications in units of centimeters and grams?
Solution
68–71 cm; 400–450 g
62. A woman's basketball has a circumference between 28.5 and 29.0 inches and a maximum
weight of 20 ounces (two significant figures). What are these specifications in units of
centimeters and grams?
Solution
72.4–73.7 cm; max. 5.7 × 102 g
63. How many milliliters of a soft drink are contained in a 12.0-oz can?
Solution
355 mL
64. A barrel of oil is exactly 42 gal. How many liters of oil are in a barrel?
Solution
Page 1 of 7
, OpenStax Chemistry: Atoms First 2e
1.6: Mathematical Treatment of Measurement Results
65. The diameter of a red blood cell is about 3 10–4 in. What is its diameter in centimeters?
Solution
8 × 10–4 cm
66. The distance between the centers of the two oxygen atoms in an oxygen molecule is 1.21
10–8 cm. What is this distance in inches?
Solution
67. Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg or
less?
Solution
yes; weight = 89.4 kg
68. A very good 197-lb weight lifter lifted 192 kg in a move called the clean and jerk. What was
the mass of the weight lifted in pounds?
Solution
69. Many medical laboratory tests are run using 5.0 μL blood serum. What is this volume in
milliliters?
Solution
5.0 × 10–3 mL
70. If an aspirin tablet contains 325 mg aspirin, how many grams of aspirin does it contain?
Solution
71. Use scientific (exponential) notation to express the following quantities in terms of the SI
base units in Table 1.3:
(a) 0.13 g
(b) 232 Gg
(c) 5.23 pm
(d) 86.3 mg
(e) 37.6 cm
(f) 54 μm
(g) 1 Ts
(h) 27 ps
(i) 0.15 mK
Solution
(a) 1.3 10–4 kg; (b) 2.32 108 kg; (c) 5.23 10–12 m; (d) 8.63 10–5 kg; (e) 3.76 10–1 m; (f)
5.4 10–5 m; (g) 1 1012 s; (h) 2. 7 10–11 s; (i) l.5 10–4 K
Page 2 of 7
1.6: Mathematical Treatment of Measurement Results
Chemistry: Atoms First 2e
1: Essential Ideas
1.6: Mathematical Treatment of Measurement Results
57. Write conversion factors (as ratios) for the number of:
(a) yards in 1 meter
(b) liters in 1 liquid quart
(c) pounds in 1 kilogram
Solution
(a) ; (b) ; (c)
58. Write conversion factors (as ratios) for the number of:
(a) kilometers in 1 mile
(b) liters in 1 cubic foot
(c) grams in 1 ounce
Solution
(a) ; (b) ; (c)
59. The label on a soft drink bottle gives the volume in two units: 2.0 L and 67.6 fl oz. Use this
information to derive a conversion factor between the English and metric units. How many
significant figures can you justify in your conversion factor?
Solution
Divide the total number of liters by the total number of fluid ounces.
Only two significant figures are justified.
60. The label on a box of cereal gives the mass of cereal in two units: 978 grams and 34.5 oz.
Use this information to find a conversion factor between the English and metric units. How many
significant figures can you justify in your conversion factor?
Solution
28.3 g = (exactly) 1 oz, three significant figures
61. Soccer is played with a round ball having a circumference between 27 and 28 in. and a
weight between 14 and 16 oz. What are these specifications in units of centimeters and grams?
Solution
68–71 cm; 400–450 g
62. A woman's basketball has a circumference between 28.5 and 29.0 inches and a maximum
weight of 20 ounces (two significant figures). What are these specifications in units of
centimeters and grams?
Solution
72.4–73.7 cm; max. 5.7 × 102 g
63. How many milliliters of a soft drink are contained in a 12.0-oz can?
Solution
355 mL
64. A barrel of oil is exactly 42 gal. How many liters of oil are in a barrel?
Solution
Page 1 of 7
, OpenStax Chemistry: Atoms First 2e
1.6: Mathematical Treatment of Measurement Results
65. The diameter of a red blood cell is about 3 10–4 in. What is its diameter in centimeters?
Solution
8 × 10–4 cm
66. The distance between the centers of the two oxygen atoms in an oxygen molecule is 1.21
10–8 cm. What is this distance in inches?
Solution
67. Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg or
less?
Solution
yes; weight = 89.4 kg
68. A very good 197-lb weight lifter lifted 192 kg in a move called the clean and jerk. What was
the mass of the weight lifted in pounds?
Solution
69. Many medical laboratory tests are run using 5.0 μL blood serum. What is this volume in
milliliters?
Solution
5.0 × 10–3 mL
70. If an aspirin tablet contains 325 mg aspirin, how many grams of aspirin does it contain?
Solution
71. Use scientific (exponential) notation to express the following quantities in terms of the SI
base units in Table 1.3:
(a) 0.13 g
(b) 232 Gg
(c) 5.23 pm
(d) 86.3 mg
(e) 37.6 cm
(f) 54 μm
(g) 1 Ts
(h) 27 ps
(i) 0.15 mK
Solution
(a) 1.3 10–4 kg; (b) 2.32 108 kg; (c) 5.23 10–12 m; (d) 8.63 10–5 kg; (e) 3.76 10–1 m; (f)
5.4 10–5 m; (g) 1 1012 s; (h) 2. 7 10–11 s; (i) l.5 10–4 K
Page 2 of 7
