Deck 3: Unit Systems and Dimensional Analysis

Question 1

In which of the following is the metric system unit incorrectly paired with an abbreviation?

A) hectogram - hg
B) microgram - $\mu$ g
C) centimeter - hg
D) millimeter - mm

Answer 1

centimeter - hg

Question 2

In which of the following is the metric system prefix incorrectly paired with a power of ten?

A) nano- and 10^-9
B) micro- and 10^-3
C) deca- and 10¹
D) giga- and 10⁹

Answer 2

micro- and 10^-3

Question 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-

Answer 3

kilo-, centi-, nano-

Question 4

What English unit is the closest distance to a metric kilometer?

A) yard
B) foot
C) inch
D) mile

Question 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

Question 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

Question 7

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

Question 8

Which of the following abbreviations stands for a unit of length?

A) mL
B) mg
C) cc
D) dm

Question 9

Which of the following is the correct formula for calculating the volume of a sphere?

A) pr²h
B) pr³
C) 4/3 pr²h
D) 4/3 pr³

Question 10

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

Question 11

A decimeter equals:

A) 1 m
B) 1000 mm
C) 10 cm
D) 10 m

Question 12

Which of the following units of measure is equivalent to a cm³ (cubic centimeter)?

A) mL
B) mm
C) mg
D) gr

Question 13

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) 4.40 x 10² cm³
B) 702 cm³
C) 18.2 cm³
D) 176 cm³

Question 14

In which of the following "unit set-ups" are the units incorrectly combined together?

A) dm⁴ x dm³ = dm⁷
B) = km^-2
C) = in
D) = ?m^-2

Question 15

Which of the following unit conversion factor sequences would change milligrams to hectograms?

A) mg x x
B) mg x x
C) mg x x
D) mg x x

Question 16

Which of the following statements is false?

A) 2.5 x 10⁷ milligrams is equivalent to 25 kilograms.
B) 6.7 cubic inches is equivalent to 1.1 x 10⁵ cubic millimeters.
C) 9650 centigrams is equivalent to 0.213 pounds.
D) 0.250 hectometers is equivalent to 2.50 decimeters.

Question 17

Which of the following unit conversion factors would change g/mL to lb/ft³ ?

A)
B)
C)
D)

Question 18

Which of the following conversion factor sequences for units would effect the change from ft/sec to km/hr?

A)
B)
C)
D)

Question 19

Which of the following is an incorrect conversion factor?

A)
B)
C)
D)

Question 20

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)

Question 21

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)

Question 22

4.34 quarts is equivalent to how many microliters?

A) 4.11 x 103 mL
B) 4.11 x 10⁶ mL
C) 6.74 x 10⁵ mL
D) 2.69 mL

Question 23

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

Question 24

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

Question 25

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

Question 26

Which of these samples has the smallest mass?

A) 1.6 x 10² $\mu$ g
B) 1.6 x 10^-2 g
C) 1.6 x 10^-4 mg
D) 1.6 x 10^-7 kg

Question 27

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) 0.0939 gal
C) 5.75 gal
D) 0.673 gal

Question 28

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

Question 29

Global warming primarily results from the increasing concentration of carbon dioxide (CO₂) in the Earth's atmosphere. A sport utility vehicle (SUV) typically produces 4.31 pounds of CO₂ per gallon of gasoline consumed, is driven an average of 15,000 miles per year, and consumes gasoline at the rate of 14.2 miles per gallon. Calculate the annual production of CO₂ (in pounds) by a typical SUV.

A) 26 lb/yr
B) 4600 lb/yr
C) 79 lb/yr
D) 980 lb/yr

Question 30

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

Question 31

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

Question 32

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

Question 33

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

Question 34

Automotive batteries generally are filled with sulfuric acid. If a battery has a volume of 1.86 L and contains 3.42 x 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

Question 35

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) 1.6 g

Question 36

A sample of metal has a mass of 27.24 g and a volume of 2.20 mL. What is the correct value (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

Question 37

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

Question 38

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) 3.00 x 10² mg
D) 921,000 mg

Question 39

What mass, in grams, of a 5.00% by mass sugar water solution is needed to supply 12.5 g of sugar?

A) 125 g
B) 2.50 x 10² g
C) 13.20 x 10² g
D) 150 g

Question 40

How many grams of alcohol are present in 2 bottles (992 g total mass of mixture) of an alcohol/water mixture of that is 25.6% alcohol by mass?

A) 254 g alcohol
B) 366 g alcohol
C) 350 g alcohol
D) 210 g alcohol

Question 41

In a laboratory class with 80 students, 50% of the students are male, and 10% of the male students are left handed. How many students in the laboratory are male students that are left handed?

A) 3 students
B) 8 students
C) 10 students
D) 4 students

Question 42

Half-life is the time required for 50% of the compound to decay. If a 128 mg sample undergoes 6 successive half-lives, how much sample will be left?

A) 32.0 mg
B) 16.0 mg
C) 4.0 mg
D) 2.0 mg

Question 43

The accepted value for the boiling point of diethylether is 35 °C. What is the percent error for a reported value of 36.1 °C as the boiling point of diethylether?

A) -3.1%
B) -8.6%
C) 5.7%
D) 3.1%

Question 44

A student was to determine the calibration error of a 100 mL graduated cylinder. Water at 25.0 °C was added to the cylinder until the level reached 100.0 mL. Knowing the mass of water in the cylinder and the density of water at 25.0 °C, the actual volume of water in the cylinder was calculated to be 99.2 mL. Calculate the percent error in the calibration of the graduated cylinder.

A) 0.8%
B) 2%
C) -0.8%
D) 1%

Question 45

A student was asked to determine the density of magnesium metal by the volume of displacement method. The student determined the density of magnesium as 1.89 g/mL. The accepted value for the density of magnesium is 1.74 g/mL. Calculate the percent error associated with the student's reported density.

A) 8.6%
B) 7.9%
C) 92%
D) 86%

Question 46

Which of the following statements concerning the three major temperature scales is incorrect?

A) Kelvin temperatures always have positive values.
B) The freezing point of water has a lower numerical value on the Kelvin scale than on the Fahrenheit scale.
C) The boiling point of water has a higher numerical value on the Fahrenheit scale than the Celsius scale.
D) The boiling point of water has a higher numerical value on the Kelvin scale than the Celsius scale.

Question 47

A temperature change of 16.0 degrees Fahrenheit is equivalent to how many degrees change on the Celsius temperature scale?

A) 8.89°
B) 18.7°
C) 2.56°
D) 5.76°

Question 48

A temperature of 316° on the Kelvin scale is equivalent to ________.

A) 589 °C
B) 589 °C.
C) 43 °C
D) 104 °C

Question 49

If the temperature is 18 °C then the reading on the Fahrenheit scale would be ________.

A) 40 °F
B) 64 °F
C) 38 °F
D) 12 °F

Question 50

The surface temperature of the sun is 7530 °C. What is the surface temperature of the sun in degrees Kelvins?

A) 10,400 K
B) 273 K
C) 420 K
D) 7803 K

Question 51

The temperature of an average lightning bolt is 3.0 x 10⁴ °C. What is the equivalent temperature on the Fahrenheit scale?

A) 5.4 x 10⁴ °F
B) 6.9 x 10⁵ °F
C) 1.7 x 10⁴ °F
D) 3.8 x 10³ °F

Question 52

An astronaut whose mass is equal to 82 kg on Earth, on the Moon will

-weigh much less due to the moon's decreased gravitational attraction.

Question 53

An astronaut whose mass is equal to 82 kg on Earth, on the Moon will

-weigh much more due to the Moon's decreased gravitational attraction.

Question 54

An astronaut whose mass is equal to 82 kg on Earth, on the Moon will

-have the same mass on the Moon as on Earth.

Question 55

The density of osmium, the densest metal known, is 2260 cg/cm3. A rectangular block of osmium is depicted below. Calculate the mass of the block of osmium in pounds.

Question 56

Calculate the volume of the sphere depicted below in cubic centimeters.

Question 57

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions:
-17.2 cm = ? m

Question 58

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions:
-1.786 kg = ? μg

Question 59

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions:
-257 mL = ? dL

Question 60

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions:
-65 cm³ = ? km³

Question 61

Using the dimensional analysis method of problem solving, carry out the following metric-metric conversions:
-3,634 mg = ? hg

Question 62

Using the dimensional analysis method of problem solving, carry out the following English-metric or metric-English conversions:
-25.2 lb = ? mg

Question 63

Using the dimensional analysis method of problem solving, carry out the following English-metric or metric-English conversions:
-4.2 gal = ? cL

Question 64

Using the dimensional analysis method of problem solving, carry out the following English-metric or metric-English conversions:
-3.3 m = ? ft

Question 65

Using the dimensional analysis method of problem solving, carry out the following English-metric or metric-English conversions:
-2.7 cm² = ? in²

Question 66

Using the dimensional analysis method of problem solving, carry out the following English-metric or metric-English conversions:
-0.650 mile = ? cm

Question 67

Using the dimensional analysis method of problem solving, calculate the velocity, in yards per second, that is equivalent to a velocity of 50.00 m/day.

Question 68

A post-operative patient is to receive 250 mg of intravenous (IV) antibiotic every 4.00 hours. A 1.00 liter bag of IV solution contains 1000 mg of antibiotic. What drop rate (in drops per second) of IV solution is required for the patient to receive the correct dosage of antibiotic? (20 drops = 1 mL)

Question 69

During the summertime in Atlanta, the jet stream moves north towards Canada, and the atmosphere often stagnates. Weather forecasters give daily ozone warnings to the elderly and to people with asthma because ozone build-up in the air is harmful. Typically, an adult will inhale 2.1 liters of air per breath. What mass of ozone, in g, is taken into the lungs per breath by an adult breathing air containing 3.64 10-4 g of ozone per cubic centimeter (cm3) of air?

Question 70

What is the capacity of a gasoline container, in gallons, if it will hold 96.5 lb of gasoline of density 0.60 g/mL?

Question 71

If the speed of a bullet being fired from a rifle is 2357 ft/sec, what is this in miles per hour?

Question 72

The average person requires 2500 Calories per day to maintain normal body function. Generally speaking, an average person gains one pound of body weight for every 3500 Calories consumed beyond that required by the body. If an average person's diet is 2700 Calories per day for one year, how many pounds of body weight would the person gain during that year?

Question 73

The cheetah is the fastest land animal on earth with a top speed of 70.0 miles per hour. What is the top speed of a cheetah in meters per second?

Question 74

The concentration of sugar in a solution is found to be 2.30 g/L. What is the sugar concentration in g/cm³?

Question 75

What mass of gold (density = 19.3 g/cm³) occupies the same volume as 80.0 g of lithium (density = 0.534 g/cm³)?

Question 76

Using the dimensional analysis method of problem solving, calculate the number of green brass buttons in a box containing 1365 buttons, if 36.2% of the buttons are brass and 18.1% of the brass buttons are green.

Question 77

A temperature of 354 on the Kelvin scale is equivalent to what temperature on the Fahrenheit scale?

Question 78

A hospital patient has an oral temperature of 39.5 °C and weighs 190. lb. He is to receive a drug, the total dosage of which is 55 mg per kilogram of body weight. The drug is dissolved in water (25 mg per milliliter).
-What is his temperature in degrees Fahrenheit? In Kelvin?

Question 79

A hospital patient has an oral temperature of 39.5 °C and weighs 190. lb. He is to receive a drug, the total dosage of which is 55 mg per kilogram of body weight. The drug is dissolved in water (25 mg per milliliter).
-What is his weight in kilograms?

Question 80

A hospital patient has an oral temperature of 39.5 °C and weighs 190. lb. He is to receive a drug, the total dosage of which is 55 mg per kilogram of body weight. The drug is dissolved in water (25 mg per milliliter).
-What mass in milligrams of pure drug should he receive?