A rigid container holds 0.400 mol of an ideal gas at a pressure of 1.50 atm and a temperature of 320 K. The gas is heated to 400 K while the volume remains constant. What is the new pressure in atm?
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Correct answer
C. 1.88 atm
Principle or equation
For a fixed amount of gas at constant volume, pressure is directly proportional to absolute temperature: P1/T1 = P2/T2.
Why this answer is correct
Given P1 = 1.50 atm, T1 = 320 K, T2 = 400 K. P2 = P1 × (T2/T1) = 1.50 × (400/320) = 1.50 × 1.25 = 1.875 atm ≈ 1.88 atm.
Example
If a gas at 300 K and 1.00 atm is heated to 600 K at constant volume, new pressure = 2.00 atm.
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