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JEE Main 202523 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
23 January
Shift
Evening Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2025 · 23 January · Evening Shift · Physics · Thermodynamics

Using the given P-V diagram, the work done by an ideal gas along...

Using the given P-V diagram, the work done by an ideal gas along the path ABCD is :
Using the given P−V\mathrm{P}-\mathrm{V} diagram, the work done by an ideal gas along the path ABCD is :

Options

  1. A3P0 V03 \mathrm{P}_0 \mathrm{~V}_0
  2. B−4P0 V0-4 \mathrm{P}_0 \mathrm{~V}_0
  3. C−3P0 V0-3 \mathrm{P}_0 \mathrm{~V}_0
  4. D4P0 V04 \mathrm{P}_0 \mathrm{~V}_0

Correct answer

C. −3P0 V0-3 \mathrm{P}_0 \mathrm{~V}_0

Step-by-step solution

Area under graph will be magnitude of graph and being counterclockwise graph it would be negative  Area =2P0×V0+P0V0=3P0V0W=−3P0V0\begin{aligned} & \text{ Area }=2 P_0 \times V_0+P_0 V_0=3 P_0 V_0 \\ & \mathrm{ W}=-3 P_0 V_0 \end{aligned}
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