During an adiabatic process, the pressure of gas is found to be proportional to the cube of its absolute temperature. The ratio of `(C_(p,m)//C_(v,m))` for gas is :

Options

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

Answer

D

Explanation

Acoording to question ,
`ppropT^(3)rArrpV=nRT`
and `ppropT^(3)rArrpprop(pV)^(3)rArrp^(2)V^(3)="constant"`
`pV^(3//2)="Constant " becausepV^(gamma)="constant"`
`therefore" " (C_(p))/(C_(v))=gamma(3)/(2)`