ABC26PH0838 · Thermodynamics and Thermochemistry

Subject: Physical Chemistry · Chapter: Thermodynamics and Thermochemistry · Topic: Thermodynamics & Thermochemistry – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium

One mole of a van der waals gas undergoes reversible isothermal transformation from an initial volume $\mathrm{V}_{1}$ to a final volume $\mathrm{V}_{2}$. The expression for the work done is:
(a)$\mathrm{RT} \ln \frac{\mathrm{V}_{2}}{\mathrm{V}_{1}}+\mathrm{a}\left(\mathrm{V}_{2}-\mathrm{V}_{1}\right)$
(b)$-\mathrm{RT} \ln \frac{\mathrm{V}_{2}-\mathrm{b}}{\mathrm{V}_{1}-\mathrm{a}}+\mathrm{a}\left(\frac{1}{\mathrm{V}_{1}}-\frac{1}{\mathrm{V}_{2}}\right)$
(c)$R T \ln \frac{P_{2}}{P_{1}}$
(d)$\mathrm{RT} \ln \frac{\mathrm{V}_{2}-\mathrm{b}}{\mathrm{V}_{1}-\mathrm{a}}-\mathrm{a}\left(\frac{1}{\mathrm{V}_{1}}-\frac{1}{\mathrm{V}_{2}}\right)$
Answer
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Explanation
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