Q: A hospital has 125 deciliters (dL) of blood plasma. What is the volume in milliliters (mL)?

$$125 \, \text{dL} \times \frac{1 \, \text{L}}{10 \, \text{dL}} \times \frac{1000 \, \text{mL}}{1 \, \text{L}} = 12,500 \, \text{mL}$$

Q: A platinum nugget has a mass of 224.50 g and a volume of 10.0 cm$$^3. $$What is its density?

$$\frac{224.50 \, \text{g}}{10.0 \, \text{cm}^3} = 22.5 \, \text{g/cm}^3$$

Q: A marathon is 26.2 miles. What is the distance in kilometers if $$1 \, \text{km} = 0.62 \, \text{mi}$$?

$$26.2 \, \text{mi} \times \frac{1 \, \text{km}}{0.62 \, \text{mi}} = 42 \, \text{km}$$

Q: A sample of bronze contains 79.2 g of copper and 10.8 g of tin. What is the percent of copper in the sample?

$$\frac{79.2}{79.2 + 10.8} \times 100\% = 88.0\%$$

Q: A battery contains 1275 mL of acid with a density of 1.84 g/mL. What is the mass of acid in grams?

$$1275 \, \text{mL} \times 1.84 \, \frac{\text{g}}{\text{mL}} = 2350 \, \text{g}$$

Q: A motorcycle is traveling at 105 km/h. What is its speed in meters per second (m/s)?

$$105 \, \frac{\text{km}}{\text{h}} \times \frac{1000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{h}}{3600 \, \text{s}} = 29.2 \, \text{m/s}$$

Q: A lunar rock sample weighs 92 g and contains 4.70% iron. What is the mass of iron in the sample?

$$92 \, \text{g} \times \frac{4.70}{100} = 4.3 \, \text{g}$$

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

$$\text{density} = \frac{\text{mass}}{\text{volume}}$$

Question 1

Which of the following statements best explains why the metric system is preferred in scientific measurements?

Accepted Answer

It is a decimal system with prefixes that enlarge or reduce base units by factors of 10, simplifying conversions.

Question 2

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

Accepted Answer

$$125 \, 	ext{dL} 	imes \frac{1 \, 	ext{L}}{10 \, 	ext{dL}} 	imes \frac{1000 \, 	ext{mL}}{1 \, 	ext{L}} = 12,500 \, 	ext{mL}$$

Question 3

Which metric prefix represents one millionth ($$10^{-6}) of a $$base unit?

Accepted Answer

micro-

Question 4

A platinum nugget has a mass of 224.50 g and a volume of 10.0 cm$$^3. $$What is its density?

Accepted Answer

$$\frac{224.50 \, 	ext{g}}{10.0 \, 	ext{cm}^3} = 22.5 \, 	ext{g/cm}^3$$

Question 5

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

Accepted Answer

$$26.2 \, 	ext{mi} 	imes \frac{1 \, 	ext{km}}{0.62 \, 	ext{mi}} = 42 \, 	ext{km}$$

Question 6

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

Accepted Answer

$$T_F = 1.8(T_C) + 32$$

Question 7

A sample of bronze contains 79.2 g of copper and 10.8 g of tin. What is the percent of copper in the sample?

Accepted Answer

$$\frac{79.2}{79.2 + 10.8} 	imes 100\% = 88.0\%$$

Question 8

A battery contains 1275 mL of acid with a density of 1.84 g/mL. What is the mass of acid in grams?

Accepted Answer

$$1275 \, 	ext{mL} 	imes 1.84 \, \frac{	ext{g}}{	ext{mL}} = 2350 \, 	ext{g}$$

Question 9

Which of the following best describes the difference between heat and temperature?

Accepted Answer

Heat is the total energy of a substance, while temperature is the average energy of its particles.

Question 10

A gas sample is collected by displacement of water. If the volume of water displaced is 250 mL, what is the volume of the gas collected?

Accepted Answer

250 mL

Question 11

A motorcycle is traveling at 105 km/h. What is its speed in meters per second (m/s)?

Accepted Answer

$$105 \, \frac{	ext{km}}{	ext{h}} 	imes \frac{1000 \, 	ext{m}}{1 \, 	ext{km}} 	imes \frac{1 \, 	ext{h}}{3600 \, 	ext{s}} = 29.2 \, 	ext{m/s}$$

Question 12

Which of the following is the correct relationship between cubic centimeters and milliliters?

Accepted Answer

1 cm$$^3 = 1 mL$$

Question 13

A lunar rock sample weighs 92 g and contains 4.70% iron. What is the mass of iron in the sample?

Accepted Answer

$$92 \, 	ext{g} 	imes \frac{4.70}{100} = 4.3 \, 	ext{g}$$

Question 14

Which of the following is the correct formula for density?

Accepted Answer

$$	ext{density} = \frac{	ext{mass}}{	ext{volume}}$$

Question 15

A half-gallon carton contains 64.0 fl oz of milk. How many milliliters of milk are in the carton? (1 qt = 32 fl oz, 1 qt = 946 mL)

Accepted Answer

$$64.0 \, 	ext{fl oz} 	imes \frac{1 \, 	ext{qt}}{32 \, 	ext{fl oz}} 	imes \frac{946 \, 	ext{mL}}{1 \, 	ext{qt}} = 1,890 \, 	ext{mL}$$

Question 16

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

Accepted Answer

Engineers mixed metric and English units, causing a navigation error.

Question 17

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

Accepted Answer

$$	ext{volume} = l 	imes w 	imes t$$

Chapter 2: The Metric System – Structured Study Notes for Introductory Chemistry

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