Kinetic Theory

JEE Main level, single correct, medium

72 of 168

Question 72 of 168

The specific heat at constant pressure of a real gas obeying PV2=RTP V^2=R T equation is:

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Answer: (C) CV+R2VC_V+\frac{R}{2 V}

$\begin{aligned}
& \mathrm{dQ}=\mathrm{du}+\mathrm{dW} \\
& \mathrm{CdT}=\mathrm{C}_{\mathrm{V}} \mathrm{dT}+\mathrm{PdV} \\
& \therefore \mathrm{PV}^2=\mathrm{RT} \\
& \mathrm{P}=\text { constant } \\
& \mathrm{P}(2 \mathrm{VdV})=\mathrm{RdT} \\
& \mathrm{PdV}=\frac{\mathrm{RdT}}{2 \mathrm{~V}} \\
&
\end{aligned}$
Put in equation (1)
C=CV+R2 V\mathrm{C}=\mathrm{C}_{\mathrm{V}}+\frac{\mathrm{R}}{2 \mathrm{~V}}

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