The specific heat of a gas in a polytropic pr | vedclass

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Question

(C) In a polytropic process,the molar specific heat $C$ is given by the relation $C = C_V + \frac{R}{1-N}$,where $C_V$ is the molar specific heat at c

Vedclass · Accepted Answer

$\frac{R}{\gamma-1}-\frac{R}{N-1}$

Vedclass · Answer

(C) In a polytropic process,the molar specific heat $C$ is given by the relation $C = C_V + \frac{R}{1-N}$,where $C_V$ is the molar specific heat at constant volume and $N$ is the polytropic index.We know that for an ideal gas,$C_V = \frac{R}{\gamma-1}$.Substituting this into the expression,we get $C = \frac{R}{\gamma-1} + \frac{R}{1-N}$.This can be rewritten as $C = \frac{R}{\gamma-1} - \frac{R}{N-1}$.Therefore,the correct option is $C$.

The specific heat of a gas in a polytropic process is given by

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