A monotomic ideal gas undergoes a process in which the ratio of p to V at any instant is constant and equals to 1. what is the molar heat capacity of the gas?

Options

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

Answer

A

Explanation

The molar heat capacity for any process is given by the following expression `C=C_(V)+(R)/(1-gamma)` when
`pV't=` constant and `(C_(p))/(C_(V))=gamma`
Here, `(p)/(V)=1` i.e., `pV^(-1)=` constant
`C=(3)/(2)R+(R)/(1-(-1))`
`=(3)/(2)R+(R)/(2)`
`=(4)/(2)R`