Two Camot engines A and B are operated in succession. The first one, ,A receives heat from a source at $$T1$$ $$=$$ $$800$$ K and rejects to sink at $$T2K$$. The second engine B receives heat rejected by the first engine and rejects to another sink at $$T3$$ $$=$$ $$300$$ K. If the work outputs of two engines are equal, then the value of $$T2$$ is

Question

Two Camot engines A and B are operated in succession. The first one, ,A receives heat from a source at $$T1$$ $$=$$ $$800$$ K and rejects to sink at $$T2K$$. The second engine B receives heat rejected by the first engine and rejects to another sink at $$T3$$ $$=$$ $$300$$ K. If the work outputs of two engines are equal, then the value of $$T2$$ is

Infinity Learn · Accepted Answer

Since $$WA=WB$$ we can write , $$T1-T2=T2-T3$$ ∴  $$T2$$ $$=$$ $$T1+T32$$ $$=$$ $$800+3002$$ $$=$$ $$550$$ K

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