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Question

An ideal gas is taken through a process in which the pressure and the volume are chnaged according to the equation P = kV. Show that the molar heat capacity of the gas for the process is given by C=Cv+R2.

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Solution

P = KV

nRTV=KVRT=KV2

RΔT=2KVΔV

RΔV2KV=ΔV

dQ = dU +dW

msdT=CvdT+PRdT2KV

ms=Cv+RKV2KV

cp=Cv+R2


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