For which of the following gases, the difference in specific heats at constant pressure and at const — Thermodynamics 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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