A rigid container holds 0.80 mol of an ideal gas at a pressure of 2.0 atm and a temperature of 300 K. The gas is heated to 450 K while the volume remains constant. What is the new pressure in atm?
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Correct answer
C. 3.0 atm
Principle or equation
For a fixed amount of gas at constant volume, pressure is directly proportional to absolute temperature (Amontons's law): P1/T1 = P2/T2.
Why this answer is correct
P1 = 2.0 atm, T1 = 300 K, T2 = 450 K. P2 = P1 × (T2/T1) = 2.0 atm × (450/300) = 2.0 × 1.5 = 3.0 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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