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

In adiabatic process
`P propT^(gamma//gamma-1)`
`and P prop T^(3)`
`(gamma)/(gamma-1)=3`
`therefore gamma=3gamma-3`
`-2gamma=-3`
`gamma=3//2`