A gas in a closed container is heated from 298 K to 450 K at constant volume. If initially P = 1.00 atm and V fixed, what is the final pressure?

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Multiple Choice

A gas in a closed container is heated from 298 K to 450 K at constant volume. If initially P = 1.00 atm and V fixed, what is the final pressure?

Explanation:
At fixed volume, pressure changes directly with temperature when measured in kelvin, since the amount of gas and the container volume stay the same. This is P2 = P1 × (T2/T1). Here, P1 = 1.00 atm, T1 = 298 K, and T2 = 450 K. So P2 = 1.00 × (450/298) ≈ 1.51 atm. The result around 1.51 atm corresponds to the given scenario. A smaller pressure would require a smaller temperature rise, and a much larger pressure would need a much larger temperature increase than what occurs here.

At fixed volume, pressure changes directly with temperature when measured in kelvin, since the amount of gas and the container volume stay the same. This is P2 = P1 × (T2/T1).

Here, P1 = 1.00 atm, T1 = 298 K, and T2 = 450 K. So P2 = 1.00 × (450/298) ≈ 1.51 atm.

The result around 1.51 atm corresponds to the given scenario. A smaller pressure would require a smaller temperature rise, and a much larger pressure would need a much larger temperature increase than what occurs here.

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