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Three Carnot engines operate in series between a heat source at a temperature T1 and a heat sink at temperature T4 (see figure). There are two other reservoirs at temperature T2 and T3 , as shown, with T1 > T2 > T3 > T4. The three engines are equally efficient if : 

(1) T2 = (T1 T4)1/2 ; T3 = (T12 T4)1/3 

(2) T2 = (T1 T42)1/2 ; T3 = (T12 T4)1/3 

(3) T2 = (T13T4)1/4 ; T3 = (T1 T43)1/4 

(4) T2 = (T12 T4)1/3 ; T3 = (T1 T42)1/3

1 Answer

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Correct option: (4) T2 = (T12 T4)1/3 ; T3 = (T1 T42)1/3


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