A monoatomic ideal gas ($\\gamma = 5/3$, $C_v = 3R/2$) undergoes a polytropic process $P V^n = \\text{constant}$ with exponent $n = 0$. What is the molar heat capacity $C$ for this process? (Take $R = 8.314\\text{ J}\\cdot\\text{mol}^{-1}\\cdot\\text{K}^{-1}$.)
Subject: Chemistry | Topic: Chemical thermodynamics | Difficulty: HARD
Options
- (A) $12.47\text{ J}\cdot\text{mol}^{-1}\cdot\text{K}^{-1}$
- (B) $20.79\text{ J}\cdot\text{mol}^{-1}\cdot\text{K}^{-1}$
- (C) $41.57\text{ J}\cdot\text{mol}^{-1}\cdot\text{K}^{-1}$
- (D) $62.36\text{ J}\cdot\text{mol}^{-1}\cdot\text{K}^{-1}$
Verified Answer
Option (B): $20.79\text{ J}\cdot\text{mol}^{-1}\cdot\text{K}^{-1}$
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