Q: A natural gas mixture contains 94.1% CH$$_4$$, 3% C$$_2H$_6$$, and 2.9% N$$_2 by $$volume at 345 kPa. What is the partial pressure of C$$_2H$_6$$?

$$P_{C_2H_6} = 0.03 \times 345\ \text{kPa} = 10.35\ \text{kPa}$$

Q: A gas mixture contains 51.43% N$$_2 by $$volume. If the total pressure is 2 atm, what is the partial pressure of N$$_2$$?

$$P_{N_2$} = 0.5143 \times 2\ \text{atm} = 1.0286\ \text{atm}$$

Q: A producer gas contains 20.35% CO by volume. If the total pressure is 1 atm, what is the partial pressure of CO?

$$P_{CO} = 0.2035 \times 1\ \text{atm} = 0.2035\ \text{atm}$$

Q: A mixture of gases is analyzed and found to contain 15% H$$_2 by $$volume. If the total pressure is 1.5 atm, what is the partial pressure of H$$_2$$?

$$P_{H_2$} = 0.15 \times 1.5\ \text{atm} = 0.225\ \text{atm}$$

Q: A gas mixture is composed of 2.9% N$$_2 by $$volume at a total pressure of 345 kPa. What is the partial pressure of N$$_2$$?

$$P_{N_2$} = 0.029 \times 345\ \text{kPa} = 10.005\ \text{kPa}$$

Question 1

Which statement best describes Dalton's Law of Partial Pressure?

Accepted Answer

The total pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases.

Question 2

Given a mixture of three gases A, B, and C, which equation correctly expresses the total pressure according to Dalton's Law?

Accepted Answer

$$P = P_A + P_B + P_C$$

Question 3

A natural gas mixture contains 94.1% CH$$_4$$, 3% C$$_2H$_6$$, and 2.9% N$$_2 by $$volume at 345 kPa. What is the partial pressure of C$$_2H$_6$$?

Accepted Answer

$$P_{C_2H_6} = 0.03 	imes 345\ 	ext{kPa} = 10.35\ 	ext{kPa}$$

Question 4

According to Amagat's Law, how is the total volume of a gaseous mixture determined?

Accepted Answer

By summing the pure component volumes of each gas at the same temperature and pressure as the mixture.

Question 5

Which formula represents the mole fraction of component A in a gas mixture?

Accepted Answer

$$y_A = \frac{n_A}{n}$$

Question 6

If a mixture of gases has a total pressure $$P$$ and mole fractions $$y_A$$, $$y_B$$, and $$y_C$$, what is the partial pressure of gas B?

Accepted Answer

$$P_B = y_B P$$

Question 7

A mixture of steam and air has a total pressure of 150 psi. If the partial pressure of steam is 120 psi and air is 30 psi, what does this illustrate?

Accepted Answer

Dalton's Law of Partial Pressure, since $$150 = 120 + 30$$

Question 8

Which of the following is a correct application of Amagat's Law for a mixture of gases?

Accepted Answer

$$V = V_A + V_B + V_C$$

Question 9

In a mixture of gases, which property is assumed to be the same for all components when applying Dalton's Law?

Accepted Answer

Temperature and volume

Question 10

A gas mixture contains 51.43% N$$_2 by $$volume. If the total pressure is 2 atm, what is the partial pressure of N$$_2$$?

Accepted Answer

$$P_{N_2$} = 0.5143 	imes 2\ 	ext{atm} = 1.0286\ 	ext{atm}$$

Question 11

Which equation is used to calculate the density of a gas mixture using the ideal gas law?

Accepted Answer

$$\rho = \frac{PM}{RT}$$

Question 12

A producer gas contains 20.35% CO by volume. If the total pressure is 1 atm, what is the partial pressure of CO?

Accepted Answer

$$P_{CO} = 0.2035 	imes 1\ 	ext{atm} = 0.2035\ 	ext{atm}$$

Question 13

If a gas mixture has a total volume $$V$$ and mole fractions $$y_A$$, $$y_B$$, and $$y_C$$, what is the pure component volume of gas A according to Amagat's Law?

Accepted Answer

$$V_A = y_A V$$

Question 14

Which of the following is NOT an assumption of Dalton's Law of Partial Pressure?

Accepted Answer

All gases have the same molecular mass.

Question 15

A mixture of gases is analyzed and found to contain 15% H$$_2 by $$volume. If the total pressure is 1.5 atm, what is the partial pressure of H$$_2$$?

Accepted Answer

$$P_{H_2$} = 0.15 	imes 1.5\ 	ext{atm} = 0.225\ 	ext{atm}$$

Question 16

Which law would you use to calculate the total volume of a mixture of gases at constant temperature and pressure?

Accepted Answer

Amagat's Law of Pure Component Volume

Question 17

A gas mixture is composed of 2.9% N$$_2 by $$volume at a total pressure of 345 kPa. What is the partial pressure of N$$_2$$?

Accepted Answer

$$P_{N_2$} = 0.029 	imes 345\ 	ext{kPa} = 10.005\ 	ext{kPa}$$

Question 18

Which of the following best describes the difference between Dalton's Law and Amagat's Law?

Accepted Answer

Dalton's Law deals with partial pressures, while Amagat's Law deals with pure component volumes.

Gaseous Mixtures: Dalton's and Amagat's Laws, Applications & Calculations

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