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

Question

The specific heat of a gas in a polytropic process is given by (A) (R/&gamma;-1)+(R/N-1) (B) (R/1-&gamma;)+(R/1-N) (C) (R/&gamma;-1)-(R/N-1) (D) (R/1-&gamma;)-(R/1-N)

Tardigrade Admin · Accepted Answer

∵ C=CV+(R/1-N) =(R/&gamma;-1)-(R/N-1)

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

$\frac{R}{γ - 1} + \frac{R}{N - 1}$

$\frac{R}{1 - γ} + \frac{R}{1 - N}$

$\frac{R}{γ - 1} - \frac{R}{N - 1}$

$\frac{R}{1 - γ} - \frac{R}{1 - N}$

$∵ C = C_{V} + \frac{R}{1 - N}$
$= \frac{R}{γ - 1} - \frac{R}{N - 1}$

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

γ−1R​+N−1R​

1−γR​+1−NR​

γ−1R​−N−1R​

1−γR​−1−NR​

∵C=CV​+1−NR​ =γ−1R​−N−1R​

$\frac{R}{γ - 1} + \frac{R}{N - 1}$

$\frac{R}{1 - γ} + \frac{R}{1 - N}$

$\frac{R}{γ - 1} - \frac{R}{N - 1}$

$\frac{R}{1 - γ} - \frac{R}{1 - N}$

$∵ C = C_{V} + \frac{R}{1 - N}$
$= \frac{R}{γ - 1} - \frac{R}{N - 1}$