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Two carnot engines A and B are operated in series. The first one, A , receives heat at T 1 = 600 K and rejects to a reservoir at temperature T 2 . The second engine B receives heat rejected by the first engine and, in turn, rejects to a heat reservoir at T 3 = 400 K . Calculate the temperature T 2 if the work outputs of the two engines are equal:

Options

  1. A500 K
  2. B400 K
  3. C300 K
  4. D600 K

Correct answer

A. 500 K

Step-by-step solution

W = Q 1 - Q 2 = Q 2 - Q 3 ⇒ Q 1 Q 2 + Q 3 Q 2 = 2 T 1 T 2 + T 3 T 2 = 2 T 2 = T 1 + T 3 2 = 500 K

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