If the ratio of specific heat of a gas of constant pressure to that at constant volume is `gamma`, the change in internal energy of the mass of gas, when the volume changes from `V` to `2V` at constant pressure `p` is

Options

A. `(R)/(gamma-1)`
B. `PV`
C. `(PV)/((gamma-1))K`
D. `(T-4)K`

Answer

C

Explanation

`DeltaW=P(2V-V)=PV`
`DeltaW=PDeltaV=nRDeltaT`( if P: constant)
`nRDeltaT=PV`
`DeltaU=nC_VDeltaT=(nRDeltaT)/(gamma-1)=(PV)/(gamma-1)`