During an adiabatic process, the pressure of a gas is found to be ∝ cube of its absolute temperature — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

For an adiabatic process, P^(1-γ) * T^γ = constant => P is ∝ T^(γ/(γ-1)). Since P is ∝ T^3, we have γ/(γ-1) = 3 => γ = 3*γ - 3 => 2*γ = 3 => γ = 1.5 = 3/2.