A rigid container holds 0.450 mol of an ideal gas at a pressure of 1.80 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
A. 2.25
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 = 1.80 atm, T1 = 320 K, T2 = 400 K. Using P2 = P1 × T2/T1 = 1.80 × 400/320 = 2.25 atm.
Example
If a gas at 1.00 atm and 300 K is heated to 450 K at constant volume, new pressure = 1.00 × 450/300 = 1.50 atm.
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