Thermodynamics - Result Question 40

42. 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?

[NEET Kar. 2013]

(a) T1+T22

(b) T1−T22

(c) T1T2

(d) T1T2

Show Answer

Answer:

Correct Answer: 42. (d)

Solution:

(d) Efficiency of engine A,η1=1−TT1,

Efficiency of engine B,η2=1−T2T

Here, η1=η2

∴TT1=T2T⇒T=T1T2

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