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Reviewed CSCA Physics question · Easy

A rigid container holds 2.0 mol of an ideal gas at a pressure of 1.5 × 10^5 Pa and a temperature of 300 K. The gas is heated at constant volume until its temperature reaches 450 K. What is the new pressure of the gas?

  1. 1.0 × 10^5 Pa
  2. 2.25 × 10^5 Pa
  3. 3.0 × 10^5 Pa
  4. 0.75 × 10^5 Pa
Show the answer and explanation

Correct answer

B. 2.25 × 10^5 Pa

Principle or equation

For constant volume, pressure is directly proportional to absolute temperature: P1/T1 = P2/T2.

Why this answer is correct

P2 = P1 × (T2/T1) = 1.5e5 × (450/300) = 2.25e5 Pa.

Example

If P1 = 2.0e5 Pa and T1 = 300 K, T2 = 600 K gives P2 = 4.0e5 Pa.

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