Reviewed CSCA Physics question · Standard

An ideal gas occupies 2.0 L at a pressure of 1.0 atm and a temperature of 300 K. If the amount of gas is held constant, what will the volume be when the pressure is increased to 2.0 atm and the temperature is raised to 600 K?

1.0 L
2.0 L
3.0 L
4.0 L

Show the answer and explanation

Correct answer

B. 2.0 L

Principle or equation

Ideal gas law: PV = nRT, so for constant n, P1 V1 / T1 = P2 V2 / T2.

Why this answer is correct

V2 = V1 * (P1/P2) * (T2/T1) = 2.0 * (1/2) * (600/300) = 2.0 * 0.5 * 2 = 2.0 L.

Example

If pressure doubles and temperature doubles, volume stays the same.

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