Two Camot 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)(=400K).` Calculate the temperature `T_(2)` if the work outputs of the two engines are equal :

Options

A. `600 K`
B. `300 k`
C. `500 k`
D. `400 K`

Answer

C

Explanation

`W_A=W_B`
`Q_1-Q_2=Q_2-Q_3`
`implies (Q_1)/(Q_2)-1=1-(Q_3)/(Q_2)`,
`(600+400)/(T_2)=2`