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Question: Answered & Verified by Expert
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) :
PhysicsKinetic Theory of GasesJEE MainJEE Main 2016 (03 Apr)
Options:
  • A n=CP-CC-CV
  • B n=C-CVC-CP
  • C n=CPCV
  • D n=C-CPC-CV
Solution:
2619 Upvotes Verified Answer
The correct answer is: n=C-CPC-CV
PVn=k

C=Cv+R1-n ; C-Cv=R1-n

1-n=RC-Cv ; n=1-RC-Cv

n=C-Cv-RC-Cv ; n=C-Cv-Cp-CvC-Cv

n=C-Cv-Cp+CvC-Cv ; n=C-CpC-Cv

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