Two Carnot engines $A$ and $B$ are operated in succession. The first one, $A$ receives heat from a source at $T_1 = 800\, K$ and rejects to sink at $T_2K$. The second engine $B$ receives heat rejected by the first engine and rejects to another sink at $T_3 = 300\, K$. If the work outputs of two engines are equal, then the value of $T_2$ is ...... $K$
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