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

Answer

B

Explanation

`P^(1-gamma) T^(gamma) = consta nt`
or `(T^(gamma))/(P^(gamma-1))` = constant`
or `P^(gamma-1) = (T^(gamma))/(consta nt)`
or `P prop T^(gamma-1)`
But `P prop T^(3)`
Hence , `(gamma)/(gamma-1) = 3 or gamma=3//2`.