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JEE Main 2021 (18 Mar, Shift 1) · P-V Diagrams & Cyclic Processes

P-V Diagrams & Cyclic Processes question from JEE Main 2021 (18 Mar, Shift 1)

Q53JEE Main 2021 · 18 MAR · SHIFT 1Medium

P-V Diagrams & Cyclic Processes

The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use γ\gamma = 1.4):

Figure

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Answer: (a)

  1. Adiabatic work: W=PCVC−PDVDγ−1W = \frac{P_CV_C - P_DV_D}{\gamma - 1}.
  2. C: 100×4=400100 \times 4 = 400 J; D: 200×3=600200 \times 3 = 600 J.
  3. WCD=400−6000.4=−500W_{CD} = \frac{400 - 600}{0.4} = -500 J
  4. So the answer is (a) −500-500 J.
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