An ideal gaseous sample at state expands to a volume of via two different processes. Process I follo — Thermodynamics and Thermochemistry Chemistry Question
Question
An ideal gaseous sample at state $(P_0, V_0, T_0)$ expands to a volume of $2V_0$ via two different processes. Process I follows the equation $PV^2 = K_1$. Process II follows the equation $PV = K_2$. Which of the following is true regarding the magnitude of work done?
Answer: B
💡 Solution & Explanation
Both are polytropic processes of the form $PV^n = \text{const}$. Process I has $n=2$, while Process II is isothermal with $n=1$. Higher values of $n$ lead to a steeper drop in pressure upon expansion, yielding a smaller area under the $P-V$ curve. Therefore, the work done in Process II is greater.
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