Thermodynamics and ThermochemistrymediumMCQ MULTIPLE

Which of the following statements strictly hold true regarding the molar heat capacities at constantThermodynamics 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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