Q: A patient’s medication contains 40.0 mg of a drug per tablet. How many grams of the drug are in 5 tablets?

$$40.0 \text{ mg} \times 5 = 200.0 \text{ mg} = 0.200 \text{ g}$$

Q: A rock used to prevent coastal erosion must weigh at least 2,000 kg. If the density of basalt is $$3,200 \text{ kg/m}^3$$, what is the minimum volume of basalt required?

$$2,000 \div 3,200 = 0.625 \text{ m}^3$$

Q: Which of the following is the correct equality for converting inches to centimeters?

$$1 \text{ in.} = 2.54 \text{ cm}$$

Q: A sample of high-density lipoprotein (HDL) has a mass of 0.215 g and a volume of 0.215 cm³. What is its density?

$$0.215 \div 0.215 = 1.00 \text{ g/cm}^3$$

Q: A cube is measured to be 2.00 cm on each side. What is its volume in cubic centimeters?

$$2.00 \times 2.00 \times 2.00 = 8.00 \text{ cm}^3$$

Q: A graduated cylinder contains 35.5 mL of water. After adding 33.42 g of metal pellets, the water level rises to 47.8 mL. What is the density of the metal?

$$33.42 \div (47.8 - 35.5) = 2.72 \text{ g/mL}$$

Q: Which of the following conversion factors is squared when converting area units?

$$1 \text{ in.}^2 = (2.54 \text{ cm})^2$

Q: A blood sample has a volume of 5.9 quarts. If the density of blood is $$1.06 \text{ g/mL}$$, what is the mass of the blood in grams? (1 quart = 946 mL)

$$5.9 \times 946 \times 1.06 = 5,927 \text{ g}$$

Question 1

Which of the following statements best explains why units are essential in scientific measurements?

Accepted Answer

Units provide a standard of comparison, ensuring that measurements are meaningful and reproducible.

Question 2

A patient’s medication contains 40.0 mg of a drug per tablet. How many grams of the drug are in 5 tablets?

Accepted Answer

$$40.0 	ext{ mg} 	imes 5 = 200.0 	ext{ mg} = 0.200 	ext{ g}$$

Question 3

Which of the following numbers has three significant figures?

Accepted Answer

250°C

Question 4

A rock used to prevent coastal erosion must weigh at least 2,000 kg. If the density of basalt is $$3,200 	ext{ kg/m}^3$$, what is the minimum volume of basalt required?

Accepted Answer

$$2,000 \div 3,200 = 0.625 	ext{ m}^3$$

Question 5

Which of the following is the correct equality for converting inches to centimeters?

Accepted Answer

$$1 	ext{ in.} = 2.54 	ext{ cm}$$

Question 6

A sample of high-density lipoprotein (HDL) has a mass of 0.215 g and a volume of 0.215 cm³. What is its density?

Accepted Answer

$$0.215 \div 0.215 = 1.00 	ext{ g/cm}^3$$

Question 7

Which of the following is NOT a base SI unit?

Accepted Answer

liter (L)

Question 8

A cube is measured to be 2.00 cm on each side. What is its volume in cubic centimeters?

Accepted Answer

$$2.00 	imes 2.00 	imes 2.00 = 8.00 	ext{ cm}^3$$

Question 9

A graduated cylinder contains 35.5 mL of water. After adding 33.42 g of metal pellets, the water level rises to 47.8 mL. What is the density of the metal?

Accepted Answer

$$33.42 \div (47.8 - 35.5) = 2.72 	ext{ g/mL}$$

Question 10

Which of the following conversion factors is squared when converting area units?

Accepted Answer

$$1 	ext{ in.}^2 = (2.54 	ext{ cm})^2$

Question 11

A blood sample has a volume of 5.9 quarts. If the density of blood is $$1.06 	ext{ g/mL}$$, what is the mass of the blood in grams? (1 quart = 946 mL)

Accepted Answer

$$5.9 	imes 946 	imes 1.06 = 5,927 	ext{ g}$$

Question 12

Which of the following is the correct definition of density?

Accepted Answer

Density is the ratio of mass to volume.

Question 13

A granite sample has a density of 174.8 lb/ft³. The density of water is 62.4 lb/ft³. What is the specific gravity of the granite?

Accepted Answer

$$174.8 \div 62.4 = 2.80$$

Question 14

Which of the following is the correct rule for rounding when the first digit to be dropped is 5 or greater?

Accepted Answer

Drop all nonsignificant digits and increase the last retained digit by one.

Question 15

Which of the following is an example of a conversion factor used in dimensional analysis?

Accepted Answer

$$1 	ext{ kg} = 2.2 	ext{ lb}$$

Question 16

A person weighs 164 lb. What is their mass in kilograms? ($$1 	ext{ kg} = 2.2 	ext{ lb})$$

Accepted Answer

$$164 \div 2.2 = 74.5 	ext{ kg}$$

Question 17

Which of the following statements about significant figures is correct?

Accepted Answer

Zeros between nonzero digits are always significant.

Question 18

A solution contains 325 mg of acetaminophen. How many grains is this equivalent to? ($$1 	ext{ grain} = 64.8 	ext{ mg})$$

Accepted Answer

$$325 \div 64.8 = 5.01 	ext{ grains}$$

Measurement, Units, and Dimensional Analysis in Chemistry

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