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JEE Main 20252 AprilEvening Shift
Exam
JEE Main
Year
2025
Date
2 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2025 · 2 April · Evening Shift · Chemistry · Thermodynamics (C)

Arrange the following in order of magnitude of work done by the...

Arrange the following in order of magnitude of work done by the system / on the system at constant temperature :(a) ∣wreversible ∣\left|\mathrm{w}_{\text{reversible }}\right| for expansion in infinite stage.(b) \left|w_{\text{irreversible }}\right|forexpansioninsinglestage.(c)∣wreversible ∣for expansion in single stage.(c) \left|w_{\text{reversible }}\right| for compression in infinite stage.(d) \left|w_{\text{irreversible }}\right| for compression in single stage.Choose the correct answer from the options given below:

Options

  1. Aa>b>c>da \gt b \gt c \gt d
  2. Bd>c=a>bd \gt c=a \gt b
  3. Cc=a>d>bc=a \gt d \gt b
  4. Da>c>b>da \gt c \gt b \gt d

Correct answer

B. d>c=a>bd \gt c=a \gt b

Step-by-step solution

For isothermal process∣Wreversible ∣expansion =∣Wreversible ∣compression &=−nRTln⁡VfVi&∣Wirreversible ∣expansion <∣Wirreversible ∣compression &d>c=a>b&∣Wirreversible ∣expansion =−Pext (Vf−Vi)\begin{aligned}& \left|\mathrm{W}_{\text{reversible }}\right|_{\text{expansion }}=\left|\mathrm{W}_{\text{reversible }}\right|_{\text{compression }} \& =-\mathrm{nRT} \ln \frac{\mathrm{ V}_{\mathrm{f}}}{\mathrm{ V}_{\mathrm{i}}} \& \left|\mathrm{ W}_{\text{irreversible }}\right|_{\text{expansion }} < \left|\mathrm{W}_{\text{irreversible }}\right|_{\text{compression }} \& \mathrm{d} > \mathrm{c}=\mathrm{a} > \mathrm{b} \& \left|\mathrm{ W}_{\text{irreversible }}\right|_{\text{expansion }}=-\mathrm{P}_{\text{ext }}\left(\mathrm{V}_{\mathrm{f}}-\mathrm{V}_{\mathrm{i}}\right)\end{aligned}We can compare work by area of PV graph
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