One mole of a monoatomic ideal gas is expanded by a process described by `PV^(3)` = C where C is a constant. The heat capacity of the gas during the process is given by (R is the gas constant)

Options

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

Answer

D

Explanation

Monoatomic gas `gamma =5//3, n=1`
`PV^3 = C`
on comparing with `PV^(alpha) =C` here `alpha` = 3
Heat capacity (C) = `(R)/(gamma-1)-(R)/(d-1)`
`implies C=(R)/(2//3)-R/2`
`implies C=R`.