Question 1

Which of the following correctly expresses the Ideal Gas Law in terms of pressure ($$P$$), volume ($$V$$), number of moles ($$n$$), gas constant ($$R$$), and temperature ($$T$$)?

Accepted Answer

$$PV = nRT$$

Question 2

If the temperature ($$T) $$and pressure ($$P) of a $$gas are held constant, what happens to the volume ($$V) $$when the number of moles ($$n) is $$doubled?

Accepted Answer

The volume will double

Question 3

Which of the following relationships is directly proportional according to the Ideal Gas Law?

Accepted Answer

$$V \propto n$$

Question 4

A medical oxygen tank contains 5.0 moles of $$O_2 at a $$pressure of 2.0 atm and a temperature of 300 K. What is the volume of the tank? (Use $$R = 0.0821 L$$·atm/mol·K)

Accepted Answer

$$V = 61.6 L$$

Question 5

If the pressure ($$P) of a $$gas is increased while keeping the temperature ($$T) $$and number of moles ($$n) $$constant, what happens to the volume ($$V$$)?

Accepted Answer

The volume decreases

Question 6

A balloon is filled with 1.0 mole of gas at 1.0 atm and 273 K. If the temperature is doubled and the pressure is halved, what happens to the volume?

Accepted Answer

The volume increases by a factor of 4

Question 7

Which graph best represents the relationship between pressure ($$P) $$and volume ($$V) $$for a fixed amount of gas at constant temperature?

Accepted Answer

A downward curve (hyperbola)

Question 8

A tire contains air at a pressure of 3.0 atm and a volume of 10.0 L. If the pressure is reduced to 1.5 atm at constant temperature, what is the new volume?

Accepted Answer

$$V = 20.0 L$$

Question 9

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

Accepted Answer

Density ($$d)$$

Question 10

A sealed container holds 2.0 moles of gas at 1.0 atm and 300 K. If the number of moles is tripled and the pressure remains constant, what happens to the volume?

Accepted Answer

The volume will triple

Question 11

Which of the following best describes the relationship between pressure ($$P) $$and temperature ($$T) $$for a fixed volume and number of moles?

Accepted Answer

$$P \propto T$$

Question 12

A gas sample at 2.0 atm and 300 K occupies 5.0 L. If the temperature is increased to 600 K and the pressure is kept constant, what is the new volume?

Accepted Answer

$$V = 10.0 L$$

Question 13

Which of the following is a correct rearrangement of the Ideal Gas Law to solve for temperature ($$T$$)?

Accepted Answer

$$T = \frac{PV}{nR}$$

Question 14

A scuba tank contains 10.0 L of air at 200 atm and 300 K. How many moles of air are in the tank? (Use $$R = 0.0821 L$$·atm/mol·K)

Accepted Answer

$$n = 81.0$$ moles

Question 15

Which of the following statements is true about the proportionality between volume ($$V) $$and temperature ($$T) at $$constant pressure and number of moles?

Accepted Answer

Volume increases as temperature increases

Question 16

A gas cylinder contains 4.0 moles of gas at 2.0 atm and 400 K. What would the pressure be if the temperature is reduced to 200 K and the volume remains constant?

Accepted Answer

$$P = 1.0$$ atm

Question 17

Which of the following is a real-world application of the Ideal Gas Law?

Accepted Answer

Calculating the amount of air needed to inflate a car tire to a specific pressure

Question 18

If the volume of a gas is decreased at constant temperature, what happens to the pressure?

Accepted Answer

Pressure increases

Question 19

A sample of gas at 1.0 atm and 273 K occupies 22.4 L. How many moles of gas are present? (Use $$R = 0.0821 L$$·atm/mol·K)

Accepted Answer

$$n = 1.0$$ mole

Ideal Gas Law Applications: Relationships and Graphs

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