Q: Which of the following is the correct formula for calculating percent composition?

$$\text{Percent} = \dfrac{\text{quantity of interest}}{\text{total sample}} \times 100$$

Q: Body temperature is 98.6 °F. What is this temperature in degrees Celsius?

$$(^\circ F - 32) \times \dfrac{5}{9}$$

Q: A sheet of aluminum foil measures 25.0 mm by 10.0 mm, and the volume is 3.75 mm$$^3. $$What is the thickness in mm?

$$t = \dfrac{3.75}{25.0 \times 10.0} = 0.0150 mm$$

Q: Which of the following is the correct formula for density?

$$d = \dfrac{\text{mass}}{\text{volume}}$$

Q: A motorcycle is traveling at 75 km/h. What is its speed in meters per second? ($$1 \text{ km} = 1000 \text{ m}$$, $$1 \text{ h} = 3600 \text{ s})$$

$$75 \times \dfrac{1000}{3600} = 20.8 m/s$$

Q: Which of the following is the correct formula for specific heat?

$$\text{Specific heat} = \dfrac{\text{Heat (cal)}}{\text{Mass (g)} \times \text{Temp. Change} $$(^{\circ}$$C)}$$

Question 1

Which of the following statements best describes the original definition of a meter in the metric system?

Accepted Answer

A meter was defined as 1/10,000,000 of the distance from the North Pole to the equator.

Question 2

A hospital has 125 deciliters of blood plasma. What is the volume in milliliters?

Accepted Answer

$$125 	imes 100 = 12,500 mL$$

Question 3

Which metric prefix represents a factor of $$1 	imes 10$$^{-9}$$?

Accepted Answer

nano-

Question 4

A marathon is 26.2 miles. What is the distance in kilometers if $$1 	ext{ km} = 0.62 	ext{ mi}$$?

Accepted Answer

$$26.2 \div 0.62 = 42 km$$

Question 5

What is the mass in grams of a 325 mg aspirin tablet?

Accepted Answer

$$325 \div 1000 = 0.325 g$$

Question 6

Which of the following is the correct formula for calculating percent composition?

Accepted Answer

$$	ext{Percent} = \dfrac{	ext{quantity of interest}}{	ext{total sample}} 	imes 100$$

Question 7

A quartz stone weighing 30.475 g is placed in a graduated cylinder. The water level increases from 25.0 mL to 36.5 mL. What is the volume of the stone?

Accepted Answer

$$36.5 - 25.0 = 11.5 mL$$

Question 8

What is the density of a platinum nugget with a mass of 224.50 g and a volume of 10.00 cm$$^3$$?

Accepted Answer

$$224.50 \div 10.00 = 22.45 g/cm$^3$$

Question 9

If the density of battery acid is 1.84 g/mL, how many grams are in 1275 mL?

Accepted Answer

$$1275 	imes 1.84 = 2,350 g$$

Question 10

Which of the following is the correct formula for converting Celsius to Kelvin?

Accepted Answer

$$K = ^\circ C + 273$$

Question 11

Body temperature is 98.6 °F. What is this temperature in degrees Celsius?

Accepted Answer

$$(^\circ F - 32) 	imes \dfrac{5}{9}$$

Question 12

A sheet of aluminum foil measures 25.0 mm by 10.0 mm, and the volume is 3.75 mm$$^3. $$What is the thickness in mm?

Accepted Answer

$$t = \dfrac{3.75}{25.0 	imes 10.0} = 0.0150 mm$$

Question 13

Which of the following is true about specific gravity?

Accepted Answer

It is the ratio of the density of a liquid to the density of water at 4°C and is unitless.

Question 14

Which of the following is the correct formula for density?

Accepted Answer

$$d = \dfrac{	ext{mass}}{	ext{volume}}$$

Question 15

A motorcycle is traveling at 75 km/h. What is its speed in meters per second? ($$1 	ext{ km} = 1000 	ext{ m}$$, $$1 	ext{ h} = 3600 	ext{ s})$$

Accepted Answer

$$75 	imes \dfrac{1000}{3600} = 20.8 m/s$$

Question 16

Which of the following best explains why the Mars Climate Orbiter was lost?

Accepted Answer

A failure to convert between metric and English units led to a navigation error.

Question 17

Which of the following is the correct formula for specific heat?

Accepted Answer

$$	ext{Specific heat} = \dfrac{	ext{Heat (cal)}}{	ext{Mass (g)} 	imes 	ext{Temp. Change} $$(^{\circ}$$C)}$$

Question 18

Which of the following is true about the relationship between heat and temperature?

Accepted Answer

Heat measures the total energy of a system, while temperature measures the average energy of particles.

The Metric System: Foundations and Applications in Introductory Chemistry

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