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JIPMER2018PhysicsThermodynamics

The efficiency of an ideal gas with adiabatic exponent for the shown cyclic process would be

Options

  1. A(2 2-1) /( -1)
  2. B(1-1 2) /( -1)
  3. C(2 2+1) /( -1)
  4. D(2 2-1) /( +1)

Correct answer

A. (2 2-1) /( -1)

Step-by-step solution

As , W _ BC = p V = nR T =- nR (2 ~T ₀- T ₀ )= nRT ₀ aligned & and W _ CA =+2 nRT ₀ 2 & Work done = W _ CA + W _ BC & =2 nRT ₀ 2- nRT ₀ & = nRT ₀(2 2-1) & aligned Also, input heat, Q _ BC = nC _ p T = nR T ₀ -1 Efficiency = Work Input heat = (2 2-1) /( -1)

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