When one mole of an ideal gas is compressed to half of its initial volume and simultaneously heated — Thermodynamics and Thermochemistry Chemistry Question

💡 Solution & Explanation

Δ S = n * $C_v$ * ln(T2/T1) + n * R * ln(V2/V1). For n=1, T2/T1 = 2, V2/V1 = 1/2: Δ S = $C_v$ * ln 2 + R * ln(1/2) = $C_v$ * ln 2 - R * ln 2 = ($C_v$ - R) * ln 2.