NEET2013PhysicsThermodynamicsActual
Two Carnot engines A and B are operated in series. The engine A receives heat from the source at temperature T₁ and rejects the heat to the sink at temperature T . The second engine B receives the heat at temperature T and rejects to its sink at temperature T₂ . For what value of T the efficiencies of the two engines are equal:
Options
- AT₂-T₂ 2
- BT₁ T₂
- CT₁ T₂
- DT₁+T₂ 2
Correct answer
C. T₁ T₂
Step-by-step solution
We know that efficiency of carnot engine =1- T₂ T₁ Where T₁= temperature of source T₂= temp of sink For engine A, n_ A =1- T T₁ an engine B, n_ B =1- T₂ T From question array l n_A =n_B 1- T T₁ =1- T₂ T T T₁ = T₂ T = T ^2 T ^2 = T ₁ ~T ₂ T = T₁ T₂ array