Thermodynamics and ThermochemistryhardMCQ SINGLE

An ideal gas undergoes reversible expansion from the same initial state () under two different condiThermodynamics 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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