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QJEEM22Cha5e4: JEE Main 2022 Chemistry - Class 11 JEEM22Cha5e4 Solution: When 5 moles of He gas expand isothermally and reversibly at…

When 5 moles of He gas expand isothermally and reversibly at 300 K from 10 litre to 20 litre, the magnitude of the maximum work obtained is __________ J. [nearest integer] (Given : R = 8.3 J K −- 1 mol −- 1 and log 2 = 0.3010)

Step-by-Step Verified Solution

Wrevamp;=−2.303 nRT log⁡10(V2 V1)amp;=−2.303×5×8.3×300×log⁡10(2010)amp;≃−8630 J\begin{aligned}\mathrm{W}_{\mathrm{rev}} &=-2.303 ~\mathrm{nRT} ~\log _{10}\left(\frac{\mathrm{V}_{2}}{\mathrm{~V}_{1}}\right) \\\\&=-2.303 \times 5 \times 8.3 \times 300 \times \log _{10}\left(\frac{20}{10}\right) \\\\& \simeq-8630 \mathrm{~J}\end{aligned}

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