Reviewed CSCA Physics question · Standard

A rigid container holds 1.2 mol of an ideal gas at a pressure of 2.5 × 10^5 Pa and a temperature of 350 K. The gas is heated at constant volume until its temperature reaches 525 K. What is the new pressure of the gas?

1.67 × 10^5 Pa
2.50 × 10^5 Pa
3.75 × 10^5 Pa
5.00 × 10^5 Pa

Show the answer and explanation

Correct answer

C. 3.75 × 10^5 Pa

Principle or equation

For an ideal gas at constant volume, pressure is directly proportional to absolute temperature: p1/T1 = p2/T2.

Why this answer is correct

Given p1 = 2.5 × 10^5 Pa, T1 = 350 K, T2 = 525 K. Using p2 = p1 × (T2/T1) = 2.5 × 10^5 × (525/350) = 2.5 × 10^5 × 1.5 = 3.75 × 10^5 Pa.

Example

If a gas at 300 K and 1.0 × 10^5 Pa is heated at constant volume to 600 K, the new pressure is 2.0 × 10^5 Pa.

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