A rigid container holds 0.60 mol of an ideal gas at a pressure of 1.8 atm and a temperature of 350 K. The gas is heated to 420 K while the volume remains constant. What is the new pressure in atm?
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Correct answer
B. 2.2
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) = 1.8 atm × (420 K / 350 K) = 1.8 × 1.2 = 2.16 atm, approximately 2.2 atm.
Example
If a gas at 1.0 atm and 300 K is heated to 600 K at constant volume, the new pressure is 2.0 atm.
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