Introduction to Chemical Principles, 11e (Stoker)
Chapter 3 Unit Systems and Dimensional Analysis
3.1 Multiple Choice
1) In which of the following is the metric system unit incorrectly paired with an abbreviation?
A) hectogram – hcg
B) microgram – mg
C) centimeter – cm
D) millimeter – mm
2) In which of the following is the metric system prefix incorrectly paired with a power of ten?
A) nano- 10-9
B) micro- 10-3
C) deca- 101
D) giga- 109
3) In which of the following sequences are the metric system prefixes listed in order of
decreasing size?
A) micro, deca, centi
B) nano, micro, milli
C) kilo, centi, nano
D) hecto, kilo, deci
4) What English unit is the closest distance to a metric kilometer?
A) yard
B) foot
C) inch
D) mile
5) The metric length unit that is closest in size to the English unit mile is ________.
A) meter
B) cubic centimeter
C) kilometer
D) megameter
6) Which of the following measurements best estimates the length of a hardboiled egg?
A) 330 km
B) 0.50 m
C) 50 mm
D) 11 dm
7) Which of the following abbreviations stands for a unit of length?
A) mL
B) mg
C) cc
D) dm
8) A decimeter equals:
A) 1 m
B) 1000 mm
C) 10 cm
D) 10 m
9) How long is 1 cm?
A) 0.01 mm
B) 1 mm
C) 10 mm
D) 100 mm
10) The coast guard seized 175 hectograms of cocaine on a Columbian boat they boarded off the
coast of Florida. What is the mass of the cocaine seized in grams?
A) 1750 grams
B) 0.1759 grams
C) 17500 grams
D) 175000 grams
11) Which of the following is the international standard for mass?
A) kilogram
B) millimeter
C) cubic centimeter
D) kilometer
12) Which of the following is the correct formula for calculating the volume of a sphere?
A) pr2h
B) pr3
C) 4/3p r2h
D) 4/3 pr3
13) Which of the following three-dimensional shapes is not correctly paired with the formula
used to calculate its volume?
A) cube – s3
B) rectangular solid – l x w x h
C) cylinder – pr2h
D) sphere – pr3
14) Which of the following is the correct formula for the calculation of the area of a circle?
A) l x w
B) p r2
C) 1/2 b x h
D) l x w x h
15) Which of the following units of measure is equivalent to a cm3 (cubic centimeter)?
A) mL
B) mm
C) mg
D) g
16) A cylindrical slug of copper has a diameter of 68.3 mm and a height of 0.120 m. What is the
volume of the cylinder of copper in cm3? (cylinder volume: V = pr2h)
A) 440 cm3
B) 702 cm3
C) 18.2 cm3
D) 176 cm3
17) In which of the following “unit set-ups” are the units incorrectly combined together?
A) dm4 x dm3 = dm7
B) km6 /(km4 x km4) = km2
C) (in3 x in2 )/in4 = in
D) μm7 / μm = μm6
18) Which of the following unit conversion factor sequences would change milligrams to
hectograms?
A)
B)
C)
D)
19) Which of the following statements is false?
A) 2.5 x107 milligrams is equivalent to 25 kilograms.
B) 6.7 inches is equivalent to 1.1 x105 millimeters.
C) 9650 centigrams is equivalent to 0.213 pounds.
D) 0.250 hectometers is equivalent to 2.50 decimeters.
20) Which of the following unit conversion factors would change g/mL to lb/ft3 ?
A)
B)
C)
D)
21) Which of the following conversion factor sequences for units would effect the change from
ft/sec to km/hr?
A)
B)
C)
D)
22) Which of the following is an incorrect conversion factor?
A) 1 mile = 1.609 km
B) 0.9463 L = 1 qt
C) 2.205 kg = 1 lb
D) 2.54 cm = 1 in
23) According to dimensional analysis, which of the following is the correct set-up for the
problem, “How many milligrams are there in 67 kilograms?”
A)
B)
C)
D)
24) According to dimensional analysis, which of the following is a correct set-up for the
problem, “How many millimeters are there in 12.8 feet?”
A)
B)
C)
D)
25) 4.34 quarts is equivalent to how many microliters?
A) 4.12 x 103 mL
B) 4.12 x 106 mL
C) 6.74 x 105 mL
D) 2.69 mL
26) 256 college students each donated one pint of blood. How many milliliters of blood did the
students donate?
A) 121,100 mL
B) 6.84 x 106 mL
C) 3.89 x 10-8 mL
D) 16,574 mL
27) 26.9 square centimeters is equivalent to how many square feet?
A) 117 ft2
B) 0.0290 ft2
C) 3.67 ft2
D) 0.00144 ft2
28) Which of the following samples has the largest volume?
A) 3.2 x 103 dL
B) 3.2 x 10-4 kL
C) 3.2 x 10-4 hL
D) 3.2 x 10-6 L
29) Which of these samples has the smallest mass?
A) 1.6 x 102 μg
B) 1.6 x 10-2 g
C) 1.6 x 10-4 mg
D) 1.6 x 10-7 kg
30) The typical volume of an aluminum can of soda is 355 mL. What is the equivalent volume in
gallons?
A) 3.37 x 105 gal
B) 0.0938 gal
C) 5.75 gal
D) 0.673 gal
31) The average adult has approximately 9.0 pints of blood. If 20 drops of blood is equivalent to
1 mL, how many drops of blood does the average human contain?
A) 85,000 drops
B) 1100 drops
C) 9.1 x 1011 drops
D) 230,000 drops
32) A group of college students donated 136 pints of blood to a local blood bank. How many
milliliters of blood did the group of students donate?
A) 16,700 mL
B) 95,400 mL
C) 32,800 mL
D) 64300 mL
33) What is the mass of 36.0 mL of a liquid if its density is 2.70 g/mL?
A) 13.3 g
B) 0.0750 g
C) 97.2 g
D) 0.748 g
34) What volume of a solution with a density of 13.9 g/mL is needed to provide 155 grams of
solution?
A) 11.2 mL
B) 106 mL
C) 0.185 mL
D) 2150 mL
35) If object A weighs 24 grams and has a volume of 3 mL and object B weighs 14 g and has a
volume of 7 mL, ________.
A) B is more dense than A
B) A and B have equal densities
C) B is half as dense as A
D) A is four times as dense as B
36) Density is an easy way to distinguish between gold (density: approx. 19 g/cm3), fool’s gold
(density: approx. 4.5 g/cm3), and sand (density: approx. 2.5 g/cm3). If a large golden rock has a
mass of 252 g and a volume of 56 cm3, which type of mineral is it?
A) gold
B) fool’s gold
C) sand
D) none of these
37) Automotive batteries generally are filled with sulfuric acid. If a battery has a volume of 1.86
L and contains 3.42 103 grams of sulfuric acid, what is the density of sulfuric acid in g/mL?
A) 5.43 x 10-4 g/mL
B) 5.84 x 103 g/mL
C) 1.84 g/mL
D) 19.85 g/mL
38) Chloroform was used as an anesthetic in the early days of surgery. If its density is 1.492
g/mL, what is the mass of 225 mL?
A) 336 g
B) 151 g
C) 225 g
D) 1.60 g
39) A sample of metal has a mass of 27.24 g and a volume of 2.20 mL. What is the correct value
(to the correct number of significant figures) of its density using these data?
A) 12.382 g/mL
B) 0.081 g/mL
C) 12.4 g/mL
D) 0.0876 g/mL
40) A certain children’s fever reducing medicine has a concentration of 250 mg/10 mL. If a child
is to receive 2 teaspoons of this medicine, how many mg of medicine is being received in one
dose? (1 tsp = 5 mL)
A) 650 mg
B) 275 mg
C) 188 mg
D) 250 mg
41) A certain infant analgesic medicine has a single dose of 36.0 mg/kg of body weight. How
much analgesic will be administered in a single dose for an 18.4 pound toddler?
A) 436 mg
B) 80.1 mg
C) 300. mg
D) 921,000 mg