Q: A nurse needs to administer 0.150 mg of Synthroid to a patient. If each tablet contains 75 mcg of Synthroid, how many tablets should the nurse give? (1 mg = 1000 mcg)

$$0.150 \ \text{mg} \times \frac{1000 \ \text{mcg}}{1 \ \text{mg}} \times \frac{1 \ \text{tablet}}{75 \ \text{mcg}} = 2 \ \text{tablets}$$

Q: A patient weighs 164 lb. What is the mass in kilograms? (1 kg = 2.20 lb)

$$164 \ \text{lb} \times \frac{1 \ \text{kg}}{2.20 \ \text{lb}} = 74.5 \ \text{kg}$$

Q: A graduated cylinder contains 25.0 mL of water. After a metal object is added, the water level rises to 33.0 mL. If the mass of the object is 48.0 g, what is its density in $$\text{g/cm}^3$$?

$$\text{Density} = \frac{48.0 \ \text{g}}{33.0 \ \text{mL} - 25.0 \ \text{mL}} = \frac{48.0}{8.0} = 6.0 \ \text{g/cm}^3$$

Q: A nurse needs to convert 500 mg to grams to prepare a medication. What is the correct conversion?

$$500 \ \text{mg} \times \frac{1 \ \text{g}}{1000 \ \text{mg}} = 0.5 \ \text{g}$$

Q: A solution contains 1.9% omega-3 fatty acids by mass. How many grams of omega-3 fatty acids are in 200 g of the solution?

$$200 \ \text{g} \times \frac{1.9}{100} = 3.8 \ \text{g}$$

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

$$1 \ \text{cm} = 10 \ \text{mm}$$

Q: A patient’s blood volume is 5.9 qt. What is the volume in liters? (1 qt = 946 mL, 1000 mL = 1 L)

$$5.9 \ \text{qt} \times \frac{946 \ \text{mL}}{1 \ \text{qt}} \times \frac{1 \ \text{L}}{1000 \ \text{mL}} = 5.6 \ \text{L}$$

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

$$1 \ \text{mL} = 1 \ \text{cm}^3$$

Q: A sample of HDL cholesterol has a mass of 0.258 g and a volume of 0.215 mL. What is its density in $$\text{g/mL}$$?

$$\text{Density} = \frac{0.258 \ \text{g}}{0.215 \ \text{mL}} = 1.20 \ \text{g/mL}$$

Question 1

A nurse needs to administer 0.150 mg of Synthroid to a patient. If each tablet contains 75 mcg of Synthroid, how many tablets should the nurse give? (1 mg = 1000 mcg)

Accepted Answer

$$0.150 \ 	ext{mg} 	imes \frac{1000 \ 	ext{mcg}}{1 \ 	ext{mg}} 	imes \frac{1 \ 	ext{tablet}}{75 \ 	ext{mcg}} = 2 \ 	ext{tablets}$$

Question 2

Which of the following numbers has three significant figures?

Accepted Answer

$$4.50 	imes 10^2$

Question 3

A patient weighs 164 lb. What is the mass in kilograms? (1 kg = 2.20 lb)

Accepted Answer

$$164 \ 	ext{lb} 	imes \frac{1 \ 	ext{kg}}{2.20 \ 	ext{lb}} = 74.5 \ 	ext{kg}$$

Question 4

Which of the following is the correct scientific notation for 0.00046?

Accepted Answer

$$4.6 	imes 10$$^{-4}$$

Question 5

A graduated cylinder contains 25.0 mL of water. After a metal object is added, the water level rises to 33.0 mL. If the mass of the object is 48.0 g, what is its density in $$	ext{g/cm}^3$$?

Accepted Answer

$$	ext{Density} = \frac{48.0 \ 	ext{g}}{33.0 \ 	ext{mL} - 25.0 \ 	ext{mL}} = \frac{48.0}{8.0} = 6.0 \ 	ext{g/cm}^3$$

Question 6

Which of the following is NOT a base SI unit?

Accepted Answer

Gram (g)

Question 7

A nurse needs to convert 500 mg to grams to prepare a medication. What is the correct conversion?

Accepted Answer

$$500 \ 	ext{mg} 	imes \frac{1 \ 	ext{g}}{1000 \ 	ext{mg}} = 0.5 \ 	ext{g}$$

Question 8

Which of the following statements about significant figures is correct?

Accepted Answer

Zeros between nonzero digits are significant.

Question 9

A solution contains 1.9% omega-3 fatty acids by mass. How many grams of omega-3 fatty acids are in 200 g of the solution?

Accepted Answer

$$200 \ 	ext{g} 	imes \frac{1.9}{100} = 3.8 \ 	ext{g}$$

Question 10

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

Accepted Answer

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

Question 11

A patient’s blood volume is 5.9 qt. What is the volume in liters? (1 qt = 946 mL, 1000 mL = 1 L)

Accepted Answer

$$5.9 \ 	ext{qt} 	imes \frac{946 \ 	ext{mL}}{1 \ 	ext{qt}} 	imes \frac{1 \ 	ext{L}}{1000 \ 	ext{mL}} = 5.6 \ 	ext{L}$$

Question 12

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

Accepted Answer

$$1 \ 	ext{mL} = 1 \ 	ext{cm}^3$$

Question 13

A sample of HDL cholesterol has a mass of 0.258 g and a volume of 0.215 mL. What is its density in $$	ext{g/mL}$$?

Accepted Answer

$$	ext{Density} = \frac{0.258 \ 	ext{g}}{0.215 \ 	ext{mL}} = 1.20 \ 	ext{g/mL}$$

Question 14

Which of the following is the correct conversion factor for $$1 \ 	ext{kg} = 2.20 \ 	ext{lb}$$?

Accepted Answer

$$\frac{1 \ 	ext{kg}}{2.20 \ 	ext{lb}}$$

Question 15

A person walks at a pace of 65 meters per minute. How many minutes will it take to walk 7.5 kilometers?

Accepted Answer

$$7.5 \ 	ext{km} 	imes \frac{1000 \ 	ext{m}}{1 \ 	ext{km}} 	imes \frac{1 \ 	ext{min}}{65 \ 	ext{m}} = 115 \ 	ext{min}$$

Question 16

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

Accepted Answer

The last retained digit is increased by 1.

Question 17

A 2.0 tsp dose of cough syrup has a density of $$1.20 \ 	ext{g/mL}. If$$ $$1 \ 	ext{tsp} = 5.0 \ 	ext{mL}$$, what is the mass of the syrup in grams?

Accepted Answer

$$2.0 \ 	ext{tsp} 	imes \frac{5.0 \ 	ext{mL}}{1 \ 	ext{tsp}} 	imes \frac{1.20 \ 	ext{g}}{1 \ 	ext{mL}} = 12 \ 	ext{g}$$

Chemistry and Measurements: Units, Significant Figures, and Problem Solving

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