Q: Which of the following correctly defines parts per million (ppm) in terms of mass for an aqueous solution?

$$\text{ppm} = \dfrac{\text{g of solute}}{\text{g of solution}} \times 10^6$

Q: Which equation would you use to calculate the ppm of a solute in a solution if you know the mass of solute and the mass of solution?

$$\text{ppm} = \dfrac{\text{g of solute}}{\text{g of solution}} \times 10^6$

Q: Which of the following is the correct formula for calculating ppb in terms of volume?

$$\text{ppb} = \dfrac{\text{mL of solute}}{\text{mL of solution}} \times 10^9$

Question 1

Which of the following correctly defines parts per million (ppm) in terms of mass for an aqueous solution?

Accepted Answer

$$	ext{ppm} = \dfrac{	ext{g of solute}}{	ext{g of solution}} 	imes 10^6$

Question 2

A 2.4 L sample of an aqueous solution contains 0.012 mL of NH$$_3. $$What is the concentration of NH$$_3 in $$the solution, expressed as parts per billion (ppb)?

Accepted Answer

5000 ppb

Question 3

A 5.12 L sample of solution contains 0.233 g of potassium sulfate (K$$_2SO$_4). If $$the density of the solution is 1.30 g/mL, what is the concentration of K$$_2SO$_4 in $$ppm?

Accepted Answer

34.6 ppm

Question 4

Calculate the concentration in parts per billion (ppb) of an aqueous solution containing 0.91 mg of caffeine in a total volume of 131 mL.

Accepted Answer

0.0069 ppb

Question 5

Glucose makes up about 0.102% by mass of human blood. What is this concentration in ppm?

Accepted Answer

102 ppm

Question 6

The average human body contains about 5,000 grams of blood. What mass of arsenic is present in the body if the amount in blood is 0.86 ppb?

Accepted Answer

$$4.3 	imes 10$$^{-3}$$ g

Question 7

A water sample contains the pollutant chlorobenzene with a concentration of 16 ppm (by volume). What volume of this water contains $$5.01 	imes 10^4$ mL of chlorobenzene?

Accepted Answer

$$6.16 	imes 10^6$ mL

Question 8

Which of the following best describes the difference between ppm and ppb?

Accepted Answer

ppm measures parts per million, while ppb measures parts per billion, making ppb a thousand times more sensitive than ppm.

Question 9

If a solution contains 0.005 g of solute in 5000 g of solution, what is the concentration in ppm?

Accepted Answer

1 ppm

Question 10

A sample of river water contains 0.002 mg of lead in 2.0 L of water. What is the concentration of lead in ppb?

Accepted Answer

1 ppb

Question 11

Which equation would you use to calculate the ppm of a solute in a solution if you know the mass of solute and the mass of solution?

Accepted Answer

$$	ext{ppm} = \dfrac{	ext{g of solute}}{	ext{g of solution}} 	imes 10^6$

Question 12

A chemist needs to prepare a solution with a concentration of 50 ppm. If she has 2.0 L of water, how many milligrams of solute should she add?

Accepted Answer

100 mg

Question 13

Which of the following is a correct real-world application of the concept of ppb?

Accepted Answer

Measuring trace amounts of mercury in drinking water to ensure safety standards are met.

Question 14

A solution contains 0.25 g of sodium chloride in 2.5 kg of water. What is the concentration in ppm?

Accepted Answer

100 ppm

Question 15

If a sample contains 0.0005 g of pollutant in 1.0 L of water (density = 1.0 g/mL), what is the concentration in ppb?

Accepted Answer

0.5 ppb

Question 16

Which of the following would result in the highest ppm value for a solute?

Accepted Answer

Adding the same mass of solute to a smaller volume of solution.

Question 17

A laboratory technician finds that a sample contains 0.003 g of contaminant in 3000 g of solution. What is the concentration in ppm?

Accepted Answer

1 ppm

Question 18

Which of the following is the correct formula for calculating ppb in terms of volume?

Accepted Answer

$$	ext{ppb} = \dfrac{	ext{mL of solute}}{	ext{mL of solution}} 	imes 10^9$

Question 19

A sample of seawater contains 0.0008 g of lead in 800 mL of solution (density = 1.0 g/mL). What is the concentration of lead in ppm?

Accepted Answer

1 ppm

Parts per Million (ppm) and Parts per Billion (ppb) in Solution Chemistry

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