Thermodynamics and ThermochemistrymediumMCQ MULTIPLE

For which of the following gases, the difference in specific heats at constant pressure and at constThermodynamics and Thermochemistry Chemistry Question

Question

For which of the following gases, the difference in specific heats at constant pressure and at constant volume is equal to 0.04545 cal?

Answer: B,D

💡 Solution & Explanation

The difference in molar heat capacities is $C_P - C_V = R \approx 2\text{ cal/mol-K}$. The difference in specific heat capacities ($c_p - c_v$) is exactly $R / M$. We want $2 / M = 0.04545 \implies M = 2 / 0.04545 = 44\text{ g/mol}$. Both $\text{N}_2\text{O}$ and $\text{CO}_2$ have a molar mass of $44\text{ g/mol}$.

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