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Question

The molar heat capacity in a process of a diatomic gas if it does a work of Q4 when a heat of Q is supplied to it is


A

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B

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C

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D

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Solution

The correct option is C


dU=CvdT=(52R)dT or dT=2(dU)5R

From first law of thermodynamics

dU=dQ−dW=Q−Q4=3Q4.Now molar heat

capacity C=dQdT=Q2(dU)5R=5RQ2(3Q4)=103R.


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