During an adiabatic process, the pressure of a gas is found to be proportional to be the cubic of its absolute temperature. The ratio `C_(P)//C_(V)` gas is

Options

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

Answer

C

Explanation

In the adiabatic process `(T^(gamma))/(P^(gamma-1))` = constant where `gamma = C_(P)//C_(V)` as `P prop T^(3) :. P = CT^(3)` or `(T^(gamma))/((T)^(3 (gamma-1))`= constant or `gamma-3 (gamma-1) = 0 or gamma -3gamma + 3 = 0 " " gamma = 3//2`