Q: Which of the following is a correct conversion factor for length?

$$1 \text{ mile} = 5280 \text{ ft}$$

Q: A patient receives medication at a rate of 2.75 drops per second for 7 hours. If each drop has a mass of 42 mg, what is the total mass of medication delivered?

$$2.75 \times 60 \times 60 \times 7 \times 42 = 2,907,900 \text{ mg}$$

Q: Which conversion factor would you use to convert ounces to kilograms?

$$1 \text{ kg} = 2.205 \text{ lb}$$

Q: If a child needs three tablets, each weighing 125 mg, for a recommended dosage of 11 mg/kg, what is the minimum weight (in kg) the child must have to receive the full dosage?

$$\frac{3 \times 125}{11} = 34.09 \text{ kg}$$

Q: Which of the following is NOT a valid conversion factor for volume?

$$1 \text{ mile} = 1.609 \text{ km}$$

Q: A traveler needs to convert 23 kg of luggage to ounces. Which sequence of conversion factors should be used?

$$23 \text{ kg} \times \frac{1000 \text{ g}}{1 \text{ kg}} \times \frac{1 \text{ oz}}{28.35 \text{ g}}$$

Q: Which of the following is the correct way to express a given amount?

A value containing only one unit, such as $$5 \text{ hours}.$$

Q: A patient pumps $$8,964 \times 10^1$ mL of blood in one day at a pulse of 75 beats per minute. What is the total number of beats in one day?

$$75 \text{ beats/min} \times 60 \text{ min/hr} \times 24 \text{ hr} = 108,000 \text{ beats}$$

Q: Which of the following is a correct conversion factor for mass?

$$1 \text{ lb} = 454 \text{ g}$$

Question 1

Which of the following best describes a conversion factor?

Accepted Answer

A ratio that sets together two different units.

Question 2

A recipe calls for 5 chocolate truffle chips per serving, and each serving costs $0.50. If you want to make 18 servings, what is the total cost?

Accepted Answer

$9.00

Question 3

Which of the following is a correct conversion factor for length?

Accepted Answer

$$1 	ext{ mile} = 5280 	ext{ ft}$$

Question 4

A patient receives medication at a rate of 2.75 drops per second for 7 hours. If each drop has a mass of 42 mg, what is the total mass of medication delivered?

Accepted Answer

$$2.75 	imes 60 	imes 60 	imes 7 	imes 42 = 2,907,900 	ext{ mg}$$

Question 5

Which conversion factor would you use to convert ounces to kilograms?

Accepted Answer

$$1 	ext{ kg} = 2.205 	ext{ lb}$$

Question 6

If a child needs three tablets, each weighing 125 mg, for a recommended dosage of 11 mg/kg, what is the minimum weight (in kg) the child must have to receive the full dosage?

Accepted Answer

$$\frac{3 	imes 125}{11} = 34.09 	ext{ kg}$$

Question 7

Which of the following is NOT a valid conversion factor for volume?

Accepted Answer

$$1 	ext{ mile} = 1.609 	ext{ km}$$

Question 8

A traveler needs to convert 23 kg of luggage to ounces. Which sequence of conversion factors should be used?

Accepted Answer

$$23 	ext{ kg} 	imes \frac{1000 	ext{ g}}{1 	ext{ kg}} 	imes \frac{1 	ext{ oz}}{28.35 	ext{ g}}$$

Question 9

Which of the following is the correct way to express a given amount?

Accepted Answer

A value containing only one unit, such as $$5 	ext{ hours}.$$

Question 10

A patient pumps $$8,964 	imes 10^1$ mL of blood in one day at a pulse of 75 beats per minute. What is the total number of beats in one day?

Accepted Answer

$$75 	ext{ beats/min} 	imes 60 	ext{ min/hr} 	imes 24 	ext{ hr} = 108,000 	ext{ beats}$$

Question 11

Which of the following is a correct conversion factor for mass?

Accepted Answer

$$1 	ext{ lb} = 454 	ext{ g}$$

Question 12

If you have $$1.057$$ quarts, how many liters do you have?

Accepted Answer

$$1 	ext{ L}$$

Question 13

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

Accepted Answer

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

Question 14

A prescription drug is prescribed at $$11 	ext{ mg/kg}$$ for a 75 kg child. How many mg are needed for the full dosage?

Accepted Answer

$$11 	ext{ mg/kg} 	imes 75 	ext{ kg} = 825 	ext{ mg}$$

Question 15

Which of the following is the correct conversion factor to change miles to kilometers?

Accepted Answer

$$1 	ext{ mile} = 1.609 	ext{ km}$$

Question 16

If you have 1 gallon, how many liters do you have?

Accepted Answer

$$3.785 	ext{ L}$$

Question 17

Which of the following is the correct conversion factor to change yards to meters?

Accepted Answer

$$1 	ext{ yd} = 0.914 	ext{ m}$$

Question 18

A person wants to convert 5 feet to centimeters. Which conversion factors should be used?

Accepted Answer

$$5 	ext{ ft} 	imes \frac{12 	ext{ in}}{1 	ext{ ft}} 	imes \frac{2.54 	ext{ cm}}{1 	ext{ in}}$$

Conversion Factors and Dimensional Analysis in GOB Chemistry

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