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

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 For monoatomic gas, γ = 5 3 = 1.67 For diatomic gas, γ = 7 5 = 1.4 when γ = 1.5, the gas must be a suitable mixture of monoatomic and diatomic gases ∴ γ = 3/2.