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JEE Main 202227 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
27 June
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2022 · 27 June · Evening Shift · Chemistry · Thermodynamics (C)

When 5 moles of He gas expand isothermally and reversibly at 300K...

When 55 moles of HeHe gas expand isothermally and reversibly at 300K300K from 1010 litre to 2020 litre, the magnitude of the maximum work obtained is JJ. [nearest integer ] (Given : R=8.3JK−1mol−1R = 8 . 3J{K}^{- 1}{mol}^{- 1} and log⁡2=0.3010\log 2 = 0 . 3010)

Correct answer

0

Step-by-step solution

Work done in isothermal reversible process is calculated by the equation

W=−2.303nRTlog(V2V1)n=NumberofmolesT=Temperature=300KV2=Finalvolume=20litresV1=Initialvolume=10litresW = - 2 . 303nRTlog\left(\dfrac{{V}_{2}}{{V}_{1}}\right)n = NumberofmolesT = Temperature = 300K{V}_{2} = Finalvolume = 20litres{V}_{1} = Initialvolume = 10litres

W=−2.303×5×8.3×300log⁡(2010)= - 2 . 303 \times 5 \times 8 . 3 \times 300\log \left(\dfrac{20}{10}\right)

=−8630.38J= - 8630 . 38J

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