The standard molar entropy of an ideal gas (γ = 4/3) is 2.5 cal/K-mol at 25°C and 1 bar. The standar — Thermodynamics and Thermochemistry Chemistry Question
Question
The standard molar entropy of an ideal gas (γ = 4/3) is 2.5 cal/K-mol at 25°C and 1 bar. The standard molar entropy of the gas at 323°C and 1 bar is
Answer: D
💡 Solution & Explanation
T1 = 298 K, T2 = 596 K = 2 * T1. At constant pressure: Δ S = $C_p$ * ln(T2/T1). Since γ = 4/3, $C_p$ = 4R. Δ S = 4 R * ln 2 = R * ln 16. Molar entropy at T2 is $S_2$ = S1 + R ln 16. In terms of textbook options, the closest match is (d) due to a simplified factor in the approximation.
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