An ideal monoatomic gas indergoes a pressure `pV_(n)`=constant. The adiabatic constant for gas is `y`. During the process, volume of gas increases from `V_(0)` to `rV_(0)` and pressure decreases for `p_(0) ` to `(p_(0))/(2r)` Based on above information, answer the following questios :
The molar heat capacity of the gas for the process is

Options

A. `(R(n-gamma))/((n-1)(gamma-1))`
B. `(R(n-1))/((n-gamma)(gamma-1))`
C. `(R)/(gamma-1)`
D. `(R)/(n-1)+(R)/(gamma)`

Answer

A

Explanation

`C=C_(v)+(R)/(1-n)`
`=(R)/(gamma-1)-(R)/(n-1)=(R(n-gamma))/((gamma-1)(n-1))`