A rigid container holds 2.0 mol of an ideal gas at a pressure of 1.5 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
B. 2.25
Principle or equation
At constant volume and amount of gas, pressure is directly proportional to absolute temperature (Gay-Lussac's law), derived from the ideal gas law PV = nRT.
Why this answer is correct
Using P1/T1 = P2/T2 with T in kelvin: 1.5 atm / 300 K = P2 / 450 K. Solving gives P2 = 1.5 * 450 / 300 = 2.25 atm.
Example
If a gas at 1.0 atm and 200 K is heated to 400 K at constant volume, the pressure doubles to 2.0 atm.
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