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JEE Main202127 Jul 2021Morning ShiftPhysicsThermodynamicsActual

In the reported figure, there is a cyclic process A B C D A on a sample of 1 mol of a diatomic gas. The temperature of the gas during the process A → B and C → D are T 1 and T 2 T 1 > T 2 respectively. Choose the correct option out of the following for work done if processes B C and D A are adiabatic.

Options

  1. AW A B = W D C
  2. BW A D = W B C
  3. CW B C + W D A > 0
  4. DW A B < W C D

Correct answer

B. W A D = W B C

Step-by-step solution

Work done in adiabatic process = - n R γ - 1   T f - T i ∴   W A D = - n R γ - 1   T 2 - T 1 and W B C = - n R γ - 1   T 2 - T 1 ∴   W A D = W B C

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