Which of the following statements strictly hold true regarding the molar heat capacities at constant — Thermodynamics and Thermochemistry Chemistry Question
Question
Which of the following statements strictly hold true regarding the molar heat capacities at constant pressure ($C_p$) and constant volume ($C_v$) for ideal gases?
Answer: A,B,C
💡 Solution & Explanation
Statements A, B, and C are fundamentally correct. Mayer's relation is $C_p - C_v = R$. Heating at constant pressure demands more heat than at constant volume for the same temperature rise to compensate for $P-V$ expansion work, thus $C_p > C_v$ and their ratio $\gamma > 1$. Statement D is incorrect; for a monoatomic ideal gas, $C_v = \frac{3}{2}R$, while $C_p = \frac{5}{2}R$.
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