Q: A can holds 2.0 gallons of gasoline. What is the volume in cubic centimeters? (1 gal = 3.785 L; 1 L = 1000 mL; 1 mL = 1 $$cm^3)$$

$$2.0 \times 3.785 \times 1000 = 7570\ \mathrm{cm}^3$$

Q: A baby weighs 7.8 lb. What is its mass in kilograms? (1 lb = 0.454 kg)

$$7.8 \times 0.454 = 3.5\ \mathrm{kg}$$

Q: A runner wants to run 12.0 km. If her running pace is 7.50 mi/h, how many minutes must she run? (1 km = 0.6214 mi)

$$12.0\ \mathrm{km} \times \frac{0.6214\ \mathrm{mi}}{1\ \mathrm{km}} = 7.4568\ \mathrm{mi}$$; $$7.4568\ \mathrm{mi} \div 7.50\ \mathrm{mi/h} = 0.9942\ \mathrm{h}$$; $$0.9942\ \mathrm{h} \times 60 = 59.7\ \mathrm{min}$$

Q: A cyclist rides at an average of 24.0 mi/h. If he wants to bike 195 km, how many hours must he ride? (1 km = 0.6214 mi)

$$195\ \mathrm{km} \times 0.6214 = 121.173\ \mathrm{mi}$$; $$121.173\ \mathrm{mi} \div 24.0\ \mathrm{mi/h} = 5.05\ \mathrm{h}$$

Q: How many grams are in $$1.48 \times 10^6$ micrograms ($$\mu g$$)?

$$1.48 \times 10^6$\ \mu g \times \frac{1\ \mathrm{g}}{1 \times 10^6$\ \mu g} = 1.48\ \mathrm{g}$$

Q: A track measures 1056 ft per lap. To run 15.0 km, how many laps does a runner need to complete? (1 mi = 5280 ft; 1 km = 0.6214 mi)

$$15.0\ \mathrm{km} \times 0.6214 = 9.321\ \mathrm{mi}$$; $$9.321\ \mathrm{mi} \times 5280 = 49109\ \mathrm{ft}$$; $$49109\ \mathrm{ft} \div 1056 = 46.5\ \mathrm{laps}$$

Question 1

Which of the following statements correctly distinguishes between mass and weight?

Accepted Answer

Mass is the quantity of matter in an object and does not depend on gravity, while weight is the measure of the gravitational pull on that object and varies with location.

Question 2

A scientist measures the mass of a rock as 2.50 kg on Earth. What would be its mass and weight on the Moon, where gravity is about 1/6th that of Earth?

Accepted Answer

Mass: 2.50 kg; Weight: 1/6th of its weight on Earth

Question 3

Which of the following is the correct SI base unit and symbol for temperature?

Accepted Answer

Kelvin, K

Question 4

A can holds 2.0 gallons of gasoline. What is the volume in cubic centimeters? (1 gal = 3.785 L; 1 L = 1000 mL; 1 mL = 1 $$cm^3)$$

Accepted Answer

$$2.0 	imes 3.785 	imes 1000 = 7570\ \mathrm{cm}^3$$

Question 5

Which of the following metric system prefixes is correctly paired with its multiplier?

Accepted Answer

kilo and $$10^3$$

Question 6

A baby weighs 7.8 lb. What is its mass in kilograms? (1 lb = 0.454 kg)

Accepted Answer

$$7.8 	imes 0.454 = 3.5\ \mathrm{kg}$$

Question 7

Which of the following is an incorrect pairing of concept and unit?

Accepted Answer

gram - SI unit of mass

Question 8

A runner wants to run 12.0 km. If her running pace is 7.50 mi/h, how many minutes must she run? (1 km = 0.6214 mi)

Accepted Answer

$$12.0\ \mathrm{km} 	imes \frac{0.6214\ \mathrm{mi}}{1\ \mathrm{km}} = 7.4568\ \mathrm{mi}$$; $$7.4568\ \mathrm{mi} \div 7.50\ \mathrm{mi/h} = 0.9942\ \mathrm{h}$$; $$0.9942\ \mathrm{h} 	imes 60 = 59.7\ \mathrm{min}$$

Question 9

Which conversion factor should you use to convert 4.0 ft to inches?

Accepted Answer

$$\frac{12\ \mathrm{in}}{1\ \mathrm{ft}}$$

Question 10

A cyclist rides at an average of 24.0 mi/h. If he wants to bike 195 km, how many hours must he ride? (1 km = 0.6214 mi)

Accepted Answer

$$195\ \mathrm{km} 	imes 0.6214 = 121.173\ \mathrm{mi}$$; $$121.173\ \mathrm{mi} \div 24.0\ \mathrm{mi/h} = 5.05\ \mathrm{h}$$

Question 11

Which of the following is the correct abbreviation for the metric unit called microgram?

Accepted Answer

$$\mu g$$

Question 12

How many grams are in $$1.48 	imes 10^6$ micrograms ($$\mu g$$)?

Accepted Answer

$$1.48 	imes 10^6$\ \mu g 	imes \frac{1\ \mathrm{g}}{1 	imes 10^6$\ \mu g} = 1.48\ \mathrm{g}$$

Question 13

A track measures 1056 ft per lap. To run 15.0 km, how many laps does a runner need to complete? (1 mi = 5280 ft; 1 km = 0.6214 mi)

Accepted Answer

$$15.0\ \mathrm{km} 	imes 0.6214 = 9.321\ \mathrm{mi}$$; $$9.321\ \mathrm{mi} 	imes 5280 = 49109\ \mathrm{ft}$$; $$49109\ \mathrm{ft} \div 1056 = 46.5\ \mathrm{laps}$$

Question 14

Which of the following is the most convenient unit to express the diameter of a particle that is $$2.8 	imes 10$$^{-8}$$ meters?

Accepted Answer

nanometers (nm)

Question 15

Which of the following is a correct equivalence statement for length?

Accepted Answer

$$1\ \mathrm{in} = 2.54\ \mathrm{cm} ($$exact)

Question 16

A student needs to convert 825 yards to kilometers. (1 yard = 0.9144 m; 1 km = 1000 m)

Accepted Answer

$$825\ \mathrm{yd} 	imes 0.9144 = 754.38\ \mathrm{m}$$; $$754.38\ \mathrm{m} \div 1000 = 0.754\ \mathrm{km}$$

Question 17

Which of the following is NOT an SI base unit?

Accepted Answer

liter (L)

Measurement and Problem Solving in General Chemistry (Chapter 2 Study Notes)

스터디 가이드 - 연습 문제

학습 가이드 - 플래시카드