An ideal gas is compressed isothermally at 300 K so that its pressure increases from…

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

An ideal gas is compressed isothermally at 300 K so that its pressure increases from 1.0 atm to 4.0 atm. Which statement about the entropy change of the gas is most consistent with this process? (a) ΔS\Delta S is positive because ΔS=nRln⁡(P2P1) \Delta S = nR\ln\left(\dfrac{P_2}{P_1}\right) and P2>P1P_2>P_1. (b) ΔS\Delta S is positive because a higher pressure implies more energetic molecular collisions. (c) ΔS\Delta S is negative because the decrease in volume restricts the dispersal of the gas molecules. (d) ΔS\Delta S is zero because entropy depends only on temperature for an ideal gas.

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