If a gas is warmed from 298 K to 348 K at constant pressure, by what factor does its volume change?

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Multiple Choice

If a gas is warmed from 298 K to 348 K at constant pressure, by what factor does its volume change?

Explanation:
At constant pressure with fixed amount of gas, the volume is directly proportional to the absolute temperature (V ∝ T) because PV = nRT and P and n are constant. This means V2/V1 = T2/T1. Using T1 = 298 K and T2 = 348 K, the ratio is 348/298 ≈ 1.168, which rounds to about 1.17. So the volume increases by a factor of roughly 1.17 (about a 16.8% increase). Remember, temperatures must be in Kelvin for this proportionality; using Celsius would give a misleading result.

At constant pressure with fixed amount of gas, the volume is directly proportional to the absolute temperature (V ∝ T) because PV = nRT and P and n are constant. This means V2/V1 = T2/T1. Using T1 = 298 K and T2 = 348 K, the ratio is 348/298 ≈ 1.168, which rounds to about 1.17. So the volume increases by a factor of roughly 1.17 (about a 16.8% increase). Remember, temperatures must be in Kelvin for this proportionality; using Celsius would give a misleading result.

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