Work done by a sample of an ideal gas in a process A is double the work done in another process B. T — Thermodynamics and Thermochemistry Chemistry Question
Question
Work done by a sample of an ideal gas in a process A is double the work done in another process B. The temperature rises through the same amount in the two processes. If $C_A$ and $C_B$ are the molar heat capacities for the two processes, then
Answer: B
💡 Solution & Explanation
Since $\Delta T$ is equal, $\Delta U$ is equal for both. $Q = \Delta U + W$. The molar heat capacity $C = Q / (n\Delta T) = (\Delta U + W)/(n\Delta T)$. Since $W_A = 2W_B$, the total heat supplied in process A is greater, dictating $C_A > C_B$.
💬Ask on WhatsApp →
Still have doubts about this question?
Send it to our AI chemistry tutor on WhatsApp — gets answered in minutes