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Question

For a sample of perfect gas when its preesure is changed isothermally from pi to pf, the entropy change is given by

A
ΔS=nR In (pfpi)
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B
ΔS=nR In (pipf)
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C
ΔS=nRT In (pfpi)
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D
ΔS=RT In (pipf)
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Solution

The correct option is B ΔS=nR In (pipf)
For an ideal gas undergoing reversible expansion, when temperature changes from Ti to Tf and pressure changes from pi to pf,
ΔS=nCp In TfTi+nR In PiPf
For an isothermal process, Ti=Tf so, In 1 = 0
ΔS=nR In PiPf

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