Q: A chemist needs to convert 1680 feet to meters for a laboratory experiment. Given that $$1 \text{ ft} = 0.3048 \text{ m}$$, what is the correct value in meters?

$$1680 \times 0.3048 = 512.064 \text{ m}$$

Q: A student measures a distance as 210 inches. What is this distance in centimeters? (Given $$1 \text{ in} = 2.54 \text{ cm})$$

$$210 \times 2.54 = 533.4 \text{ cm}$$

Q: If a laboratory protocol requires 0.75 meters of tubing, but the available tubing is measured in centimeters, how many centimeters are needed?

$$0.75 \times 100 = 75 \text{ cm}$$

Q: Which of the following is the correct way to set up a conversion from miles to kilometers, given $$1 \text{ mi} = 1.609 \text{ km}$$?

$$\text{miles} \times \frac{1.609 \text{ km}}{1 \text{ mi}}$$

Q: A patient’s height is recorded as 5 feet 8 inches. What is the height in centimeters? ($$1 \text{ ft} = 12 \text{ in}$$, $$1 \text{ in} = 2.54 \text{ cm})$$

$$(5 \times 12 + 8) \times 2.54 = 172.72 \text{ cm}$$

Q: A sample is measured as 1000 grams. How many kilograms is this? ($$1 \text{ kg} = 1000 \text{ g})$$

$$1000 \div 1000 = 1 \text{ kg}$$

Q: A chemist needs to prepare 0.220 liters of solution. How many milliliters is this? ($$1 \text{ L} = 1000 \text{ mL})$$

$$0.220 \times 1000 = 220 \text{ mL}$$

Q: Which of the following conversion setups would correctly convert 75 centimeters to meters?

$$75 \times \frac{1 \text{ m}}{100 \text{ cm}}$$

Question 1

A chemist needs to convert 1680 feet to meters for a laboratory experiment. Given that $$1 	ext{ ft} = 0.3048 	ext{ m}$$, what is the correct value in meters?

Accepted Answer

$$1680 	imes 0.3048 = 512.064 	ext{ m}$$

Question 2

Which of the following best describes a conversion factor and its use in chemistry?

Accepted Answer

A conversion factor is a ratio used to express the same quantity in different units, often written as a fraction to cancel units during calculations.

Question 3

A student measures a distance as 210 inches. What is this distance in centimeters? (Given $$1 	ext{ in} = 2.54 	ext{ cm})$$

Accepted Answer

$$210 	imes 2.54 = 533.4 	ext{ cm}$$

Question 4

If a laboratory protocol requires 0.75 meters of tubing, but the available tubing is measured in centimeters, how many centimeters are needed?

Accepted Answer

$$0.75 	imes 100 = 75 	ext{ cm}$$

Question 5

Which of the following is the correct way to set up a conversion from miles to kilometers, given $$1 	ext{ mi} = 1.609 	ext{ km}$$?

Accepted Answer

$$	ext{miles} 	imes \frac{1.609 	ext{ km}}{1 	ext{ mi}}$$

Question 6

A patient’s height is recorded as 5 feet 8 inches. What is the height in centimeters? ($$1 	ext{ ft} = 12 	ext{ in}$$, $$1 	ext{ in} = 2.54 	ext{ cm})$$

Accepted Answer

$$(5 	imes 12 + 8) 	imes 2.54 = 172.72 	ext{ cm}$$

Question 7

Which statement about significant figures is correct when multiplying measured values?

Accepted Answer

The result should have the same number of significant figures as the measured value with the fewest significant figures.

Question 8

A sample is measured as 1000 grams. How many kilograms is this? ($$1 	ext{ kg} = 1000 	ext{ g})$$

Accepted Answer

$$1000 \div 1000 = 1 	ext{ kg}$$

Question 9

A chemist needs to prepare 0.220 liters of solution. How many milliliters is this? ($$1 	ext{ L} = 1000 	ext{ mL})$$

Accepted Answer

$$0.220 	imes 1000 = 220 	ext{ mL}$$

Question 10

Which of the following conversion setups would correctly convert 75 centimeters to meters?

Accepted Answer

$$75 	imes \frac{1 	ext{ m}}{100 	ext{ cm}}$$

Question 11

A runner completes a race in 2.2 kilometers. How many meters did the runner travel?

Accepted Answer

$$2.2 	imes 1000 = 2200 	ext{ m}$$

Question 12

A laboratory scale reads 0.075 kilograms. What is this mass in grams?

Accepted Answer

$$0.075 	imes 1000 = 75 	ext{ g}$$

Question 13

Which of the following is the correct conversion factor to change centimeters to millimeters?

Accepted Answer

$$1 	ext{ cm} = 10 	ext{ mm}$$

Question 14

A car travels 120 miles. How many kilometers did it travel? ($$1 	ext{ mi} = 1.609 	ext{ km})$$

Accepted Answer

$$120 	imes 1.609 = 193.08 	ext{ km}$$

Question 15

Which of the following best explains why conversion factors are written as fractions in dimensional analysis?

Accepted Answer

Writing conversion factors as fractions allows for the cancellation of units, ensuring the correct final unit in calculations.

Question 16

A recipe calls for 2.5 liters of water. How many milliliters is this?

Accepted Answer

$$2.5 	imes 1000 = 2500 	ext{ mL}$$

Question 17

A scientist needs to convert 0.220 meters to millimeters. What is the correct value?

Accepted Answer

$$0.220 	imes 1000 = 220 	ext{ mm}$$

Question 18

Which of the following is the correct setup to convert 100 centimeters to inches? ($$1 	ext{ in} = 2.54 	ext{ cm})$$

Accepted Answer

$$100 	imes \frac{1 	ext{ in}}{2.54 	ext{ cm}}$$

Measurement, Units, and Conversion Factors in Chemistry

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