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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?
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T1 + T2 2 -
T1 - T2 2 - T1 T2
- √T1 T2
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Correct Option: D
Efficiency of engine A, η1 = 1 - | ||
T1 |
Efficiency of engine B , η2 = 1 - | ||
T |
Here, η1 = η2
∴ | = | ⇒ T = √T1 T2 | ||
T1 | T |