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Reviewed CSCA Physics question · Easy

A gas occupies 0.02 m^3 at a pressure of 1.0 x 10^5 Pa. If the temperature remains constant and the volume is changed to 0.01 m^3, what is the new pressure?

  1. 5.0 x 10^4 Pa
  2. 1.0 x 10^5 Pa
  3. 2.0 x 10^5 Pa
  4. 4.0 x 10^5 Pa
Show the answer and explanation

Correct answer

C. 2.0 x 10^5 Pa

Principle or equation

Boyle's law for constant temperature: P1 * V1 = P2 * V2.

Why this answer is correct

P2 = P1 * V1 / V2 = (1.0e5 * 0.02) / 0.01 = 2000 / 0.01 = 2.0e5 Pa.

Example

If a gas at 2 atm and 1 L is compressed to 0.5 L, new pressure = 2 * 1 / 0.5 = 4 atm.

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