Thermodynamics and ThermochemistrymediumMCQ SINGLE

Work done by a sample of an ideal gas in a process A is double the work done in another process B. TThermodynamics 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 $C_A > C_B$.

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