A monoatomic ideal gas undergoes a process in which the ratio of `P` to `V` at any istant is constant and equal to unity. The molar heat capacity of the gas is

Options

A. `(4R)/(2)`
B. `(3R)/(2)`
C. `(5R)/(2)`
D. `0`

Explanation

A monoatomic ideal gas undergoes a process in which the ratio of `P` to `V` at any instant is constant and equals `1`.
`(P)/(V) =` constant
`PV^(-1) =` constant
`PV^(gamma) =` constant
`gamma =-1`
Monatomic gas:
`C_(V) = (3)/(2)R`
Molar heat capacity `= C_(V) +(R )/(1- gamma)`
`= (3)/(2)R +(R )/(1-(-1))`
`=(3)/(2)R +(R )/(2) = (4R)/(2)`