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Three Carnot engines operate in series between a heat source at a temperature T 1 and a heat sink at temperature T 4 (see figure). There are two other reservoirs at temperature T 2 and T 3 , as shown, with T 1 > T 2 > T 3 > T 4 . The three engines are equally efficient if - T 1 T 2 T 3 T 4 ε 1 ε 2 ε 3

1. T 2 = 4 / 1 4 3 1 ) T T ( ; T 3 = 4 / 1 3 4 1 ) T T (
2. T 2 = 2 / 1 4 1 ) T T ( ; T 3 = 3 / 1 4 2 1 ) T T (
3. T 2 = 3 / 1 2 4 1 ) T T ( ; T 3 = 3 / 1 4 2 1 ) T T (
4. T 2 = 3 / 1 4 2 1 ) T T ( ; T 3 = 3 / 1 2 4 1 ) T T (

Correct answer: T 2 = 3 / 1 4 2 1 ) T T ( ; T 3 = 3 / 1 2 4 1 ) T T (

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