During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The value of ratio C P C V for the gas is

Step-by-step solution

In an adiabatic process, T γ = constant P γ - 1 or   T γ / γ - 1 = constant  P Given T 3 = constant  P ∴ γ γ - 1 = 3 ⇒ 3 γ - 3 = γ or   2 γ = 3 ⇒ γ = 3 / 2 ⇒   C p C v = 1 . 5