An ideal gas undergoes reversible expansion from the same initial state () under two different condi — Thermodynamics and Thermochemistry Chemistry Question
Question
An ideal gas undergoes reversible expansion from the same initial state ($P_1, V_1$) under two different conditions: isothermal and adiabatic. Which of the following statements is correct regarding their $P-V$ indicator diagrams?
Answer: D
💡 Solution & Explanation
The slope of the $P-V$ curve for a reversible isothermal process is $-P/V$, whereas for a reversible adiabatic process it is $-\gamma P/V$. Since $\gamma > 1$, the adiabatic curve is steeper and falls more rapidly, resulting in less area under the curve (less work done) compared to the isothermal expansion.
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