JEE Main 2016PhysicsKinetic Theory of GasesMediumMCQ

JEE Main 2016 — Kinetic Theory of Gases Question with Solution

JEE Main 2016 (03 Apr)

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) :

Choose an option

Show full solutionCorrect option: D
Correct answer
Dn=C-CPC-CV

Step-by-step explanation

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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About this question

This is a previous-year question from JEE Main 2016, covering the Kinetic Theory of Gases chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.