An ideal gas undergoes a process in which its pressure and volume are related as PV^n = constant, wh — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

The molar heat capacity in a polytropic process PV^n = constant is C = $C_v$ + R/(1-n). For C = 0, we must have $C_v$ + R/(1-n) = 0 => $C_v$ = -R/(1-n) = R/(n-1). Since $C_v$ = R/(γ - 1), this gives n = γ, which is the reversible adiabatic process (where q = 0, so C = q/dT = 0).