Q: Which of the following is the correct value and units for the universal gas constant $$R$$ when using pressure in bar, volume in liters, and temperature in Kelvin?

$$R = 0.08314 \text{ bar} \cdot \text{L} \cdot \text{mol}^{-1} \cdot \text{K}^{-1}$$

Question 1

Which of the following correctly expresses the ideal gas law?

Accepted Answer

$$PV = nRT$$

Question 2

A paint can contains 0.0500 mol of compressed gas in a 0.500 L container. If the maximum pressure the can can withstand is 4.00 bar, what is the maximum temperature (in Celsius) the can can be heated to before exploding? (Use $$R = 0.08314 	ext{ bar} \cdot 	ext{L} \cdot 	ext{mol}^{-1} \cdot 	ext{K}^{-1})$$

Accepted Answer

$$208^\circ 	ext{C}$$

Question 3

If you double both the volume and the temperature (in Kelvin) of a fixed amount of gas, what happens to the pressure?

Accepted Answer

The pressure remains the same.

Question 4

A balloon is inflated to a volume of 5.00 L at a pressure of $$5.00 	imes 10^3$ kPa and a temperature of 4.00$$^\circ$$C. What will its volume be at the surface, where the pressure is 101 kPa and the temperature is 25.0$$^\circ$$C? (Assume n$ is constant.)

Accepted Answer

$$270 	ext{ L}$$

Question 5

Which of the following is the correct relationship for Boyle's Law?

Accepted Answer

$$V \propto \dfrac{1}{P}$$

Question 6

At STP (Standard Temperature and Pressure), what is the volume occupied by 1 mole of any ideal gas?

Accepted Answer

$$22.71 	ext{ L}$$

Question 7

Which of the following statements is true regarding the density of gases at the same temperature and pressure?

Accepted Answer

A mole of Xe has a greater density than a mole of Ar.

Question 8

Which equation can be used to calculate the molar mass ($$M) of a $$gas from its density ($$d$$), pressure ($$P$$), and temperature ($$T$$)?

Accepted Answer

$$M = \dfrac{dRT}{P}$$

Question 9

A compound is vaporized and its density is measured to be $$1.585 	ext{ g/L} at$$ $$900^\circC $$and $$73.0$$ mbar. What is its molar mass? (Use $$R = 0.08314 	ext{ bar} \cdot 	ext{L} \cdot 	ext{mol}^{-1} \cdot 	ext{K}^{-1}$$ and $$T = 1173 	ext{ K})$$

Accepted Answer

$$63.7 	ext{ g/mol}$$

Question 10

Which of the following is the correct value and units for the universal gas constant $$R$$ when using pressure in bar, volume in liters, and temperature in Kelvin?

Accepted Answer

$$R = 0.08314 	ext{ bar} \cdot 	ext{L} \cdot 	ext{mol}^{-1} \cdot 	ext{K}^{-1}$$

Question 11

If the pressure on a sample of a fixed amount of gas is doubled, and then the temperature of the gas in kelvins is doubled, what is the final volume of the gas?

Accepted Answer

The final volume of the gas is the same as the initial volume.

Question 12

Which of the following is NOT an assumption of the ideal gas law?

Accepted Answer

Gas particles have significant volume.

Question 13

Which law states that the volume of a gas is directly proportional to its temperature at constant pressure and amount?

Accepted Answer

Charles's Law

Question 14

A 2.00 L sample of gas at $$25^\circC is $$heated to $$50^\circC at $$constant pressure. What is the new volume?

Accepted Answer

$$2.17 	ext{ L}$$

Question 15

Which of the following gases will have the lowest density at STP?

Accepted Answer

He

Question 16

If the number of moles of a gas is doubled at constant temperature and pressure, what happens to the volume?

Accepted Answer

The volume doubles.

Question 17

Which of the following is the correct formula for calculating the density of a gas using the ideal gas law?

Accepted Answer

$$d = \dfrac{PM}{RT}$$

Question 18

A sample of gas occupies 10.0 L at 2.00 bar and $$300 	ext{ K}. $$What will its volume be at 1.00 bar and $$600 	ext{ K}$$, assuming the amount of gas remains constant?

Accepted Answer

$$40.0 	ext{ L}$$

Chapter 5.3: Gases – Ideal Gas Law, Applications, and Properties

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