Thermodynamics

JEE Main level, numerical answer, medium

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Question 2 of 3

In an isothermal reversible expansion, 2 moles2\,\text{moles} of an ideal gas expand from V1=1 LV_1 = 1\,\text{L} to V2=10 LV_2 = 10\,\text{L} at 300 K300\,\text{K}. Work done is (in J, take R=8.314R=8.314, ln⁡10=2.303\ln 10 = 2.303):

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Answer: 11488

W=2.303nRTlog⁡(V2/V1)=2.303×2×8.314×300×1=11488 JW = 2.303 n R T \log(V_2/V_1) = 2.303 \times 2 \times 8.314 \times 300 \times 1 = 11488\,\text{J}.

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