Q: A sample of sulfur hexachloride gas occupies 8.30 L at 202 °C. Assuming pressure remains constant, what temperature (in °C) is needed to decrease the volume to 5.25 L?

$$T_2$$ = \frac{$$V_2$$}{$$V_1$$} \times ($$T_1 + 273) - 273$

Q: A cylinder with a movable piston contains 0.615 moles of gas and has a volume of 295 mL. What will its volume be if 0.103 moles of gas escape, assuming temperature and pressure remain constant?

$$V_2$$ = $$V_1$$ \times \frac{$$n_2$$}{$$n_1$$}$$

Q: A sample of nitrogen dioxide gas at 130 °C and 315 torr occupies a volume of 500 mL. What will the gas pressure be if the volume is reduced to 320 mL at 130 °C?

$$P_2$$ = $$P_1$$ \times \frac{$$V_1$$}{$$V_2$$}$$

Q: On most spray cans it is advised to never expose them to fire. A spray can is used until all that remains is the propellant gas, which has a pressure of 1350 torr at 25 °C. If the can is then thrown into a fire at 455 °C, what will be the pressure (in torr) in the can?

$$P_2$$ = $$P_1$$ \times \frac{$$T_2$$}{$$T_1$$}$$

Q: Which of the following is the correct value for the gas constant $$R in $$the Ideal Gas Law when pressure is in atm and volume is in liters?

$$0.08206 \ \text{L} \cdot \text{atm} / \text{mol} \cdot \text{K}$$

Q: A sample of gas has a volume of 2.50 L at 1.00 atm and 25 °C. What will its volume be at 2.00 atm and 25 °C?

$$V_2$$ = $$V_1$$ \times \frac{$$P_1$$}{$$P_2$$}$$

Question 1

Which equation represents the Ideal Gas Law?

Accepted Answer

$$P V = n R T$$

Question 2

A sample of sulfur hexachloride gas occupies 8.30 L at 202 °C. Assuming pressure remains constant, what temperature (in °C) is needed to decrease the volume to 5.25 L?

Accepted Answer

$$T_2$$ = \frac{$$V_2$$}{$$V_1$$} 	imes ($$T_1 + 273) - 273$

Question 3

If the pressure of a gas is doubled while the temperature and amount of gas remain constant, what happens to the volume?

Accepted Answer

The volume is halved.

Question 4

A cylinder with a movable piston contains 0.615 moles of gas and has a volume of 295 mL. What will its volume be if 0.103 moles of gas escape, assuming temperature and pressure remain constant?

Accepted Answer

$$V_2$$ = $$V_1$$ 	imes \frac{$$n_2$$}{$$n_1$$}$$

Question 5

A sample of nitrogen dioxide gas at 130 °C and 315 torr occupies a volume of 500 mL. What will the gas pressure be if the volume is reduced to 320 mL at 130 °C?

Accepted Answer

$$P_2$$ = $$P_1$$ 	imes \frac{$$V_1$$}{$$V_2$$}$$

Question 6

On most spray cans it is advised to never expose them to fire. A spray can is used until all that remains is the propellant gas, which has a pressure of 1350 torr at 25 °C. If the can is then thrown into a fire at 455 °C, what will be the pressure (in torr) in the can?

Accepted Answer

$$P_2$$ = $$P_1$$ 	imes \frac{$$T_2$$}{$$T_1$$}$$

Question 7

Which of the following is the correct value for the gas constant $$R in $$the Ideal Gas Law when pressure is in atm and volume is in liters?

Accepted Answer

$$0.08206 \ 	ext{L} \cdot 	ext{atm} / 	ext{mol} \cdot 	ext{K}$$

Question 8

If a gas sample at STP occupies 22.4 L, how many moles of gas are present?

Accepted Answer

1 mole

Question 9

Which variable must be in Kelvin when using the Ideal Gas Law?

Accepted Answer

Temperature

Question 10

A sample of gas has a volume of 2.50 L at 1.00 atm and 25 °C. What will its volume be at 2.00 atm and 25 °C?

Accepted Answer

$$V_2$$ = $$V_1$$ 	imes \frac{$$P_1$$}{$$P_2$$}$$

Question 11

Which of the following is NOT a variable in the Ideal Gas Law?

Accepted Answer

Density

Question 12

A gas sample is cooled from 300 K to 150 K at constant pressure. What happens to the volume?

Accepted Answer

The volume is halved.

Question 13

Which of the following best describes the relationship between pressure and volume for a fixed amount of gas at constant temperature?

Accepted Answer

Pressure and volume are inversely proportional.

Question 14

A gas sample at 1.00 atm and 273 K has a volume of 22.4 L. What is the mass of oxygen gas ($$O_2) in $$the sample?

Accepted Answer

32.0 g

Question 15

Which of the following is a correct rearrangement of the Ideal Gas Law to solve for the number of moles ($$n$$)?

Accepted Answer

$$n = \frac{P V}{R T}$$

Gas Laws and the Ideal Gas Law: Applications and Problem Solving

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