One mole of an ideal monatomic gas undergoes a process described by the equation `PV^(3)`= constant. The heat capacity of the gas during this process is

Options

A. `(3)/(2)R`
B. `(5)/(2)R`
C. `2R`
D. `R`

Answer

D

Explanation

`PV^(3)=C(n=3)`
Specific heat in polytropic process
`PV^(n)=K`
`C=C_(V)+(R)/(1-n)`
`=(3)/(2)R+(R)/(1-3)`
`=(3)/(2)R-(R)/(2)=R`.