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Question

An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant. If during this process, the relation of pressure P and volume V is given by PVn=constant, then n is given by (Here CP and CV are molar specific heat at constant pressure and constant volume, respectively)

A
n=CpCv
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B
n=CCpCCv
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C
n=CpCCCv
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D
n=CCvCCp
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Solution

The correct option is B n=C−CpC−CvFor a polytropic process given as PVn = constant. The specific heat is given as, C=Cv+R1−n ⟹1−n=RC−Cv n=1−RC−Cv =C−(Cv+R)C−Cv =C−CpC−Cv

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