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Two identical Carnot (cycles) engines operate between maximum and minimum temperatures T ₁ and T ₂ and volume limits, V ₂, ~V _ b , V _ c & ~V _ d as shown in figure. Given that V _ c V _ a = e ^3 and T ₁ ~T ₂ = e (e is the base of natural logarithm). Engine 1 operates on mono atomic gas while the engine 2 on diatomic gas. Choose correct alternatives

Options

  1. ARatio of volumes V _ b , 1 ~V _ b , 2 = e
  2. BRatio of work done per cycle for the two is W₁ W₂ =3
  3. CRatio of work per cycle for the two is W₁ W₂ =1
  4. DRatio of efficiencies ( ) of two engines ₁ ₂ =1

Correct answer

D. Ratio of efficiencies ( ) of two engines ₁ ₂ =1

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