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 turns, 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 ..... $K$
JEE MAIN 2019, Medium
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$W_1 = W_2$
$\Rightarrow \,\,\,600-T_2\,=\,T_2\,-\,400$
$\Rightarrow T_2\,=\,500\,K$
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