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

Options

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

Answer

B

Explanation

`PT = ( gamma ) /( 1- gamma) =` constant ….(1)
` PT^(-3)` = constant ….(2)
from equation (1) and (2) `( gamma )/( 1- gamma)=(-3)`
` therefore gamma = 3/2`