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

\frac{R}{γ - 1} + \frac{R}{N - 1}

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\frac{R}{1 - γ} + \frac{R}{1 - N}

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\frac{R}{γ - 1} - \frac{R}{N - 1}

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\frac{R}{1 - γ} - \frac{R}{1 - N}

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Solution

The correct option is A $\frac{R}{γ - 1} + \frac{R}{N - 1}$
$\frac{R}{γ - 1} + \frac{R}{N - 1}$
defined by $P V^{n} = c o n s t a n t$

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For polytropic process $P V^{n} = c o n s t a n t, C_{m}$ (molar heat capacity) of an ideal gas is given by

\frac{n!}{(n - r)! r!} + \frac{n!}{(n - r + 1)! (r - 1)!} = \frac{(n + 1)!}{r! (n - r + 1)!}

If $1 \leq r \leq n$ then $n^{n - 1} C_{r - 1}$ is equal to .........

\frac{n!}{(n - r)!}

\frac{n!}{(n - r)! r!} + \frac{n!}{(n - r + 1)! (r - 1)!} = \frac{(n + 1)!}{r! (n - r + 1)!}

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