A rigid container holds 0.500 mol of an ideal gas at a pressure of 2.00 atm and a temperature of 300 K. The gas is heated to 360 K while the volume remains constant. What is the new pressure in atm?
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Correct answer
A. 2.40
Principle or equation
For a fixed amount of gas at constant volume, pressure is directly proportional to absolute temperature (Gay-Lussac's law): P1/T1 = P2/T2.
Why this answer is correct
Use P2 = P1 × T2/T1 = 2.00 atm × (360 K / 300 K) = 2.40 atm.
Example
If a gas at 1.00 atm and 200 K is heated to 400 K at constant volume, the new pressure is 2.00 atm.
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