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In a heat engine, the temperature of the...

In a heat engine, the temperature of the source and sink are are 500K and 375 K. If the engine consumes `25xx10^(5)`J per cycle, the work done per cycle is

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`T_(1) = 500 K, T_(2) = 375K,` Heat absorbed `= Q_(1) = 25 xx 10 ^(5) J`
`eta = (T_(1) -T_(2))/(T_(1)) = (500 - 375)/(500) = -0.25 = 25%`
` eta = (W)/(Q_(1))`
`W = eta xx Q_(1) = 0.25 xx 25 xx 10 ^(5) J`
`= 6. 25 xx 10 ^(5) J ` per cycle
Heat rejected to the sink per cycle `=Q_(2) = ?`
`Q_(2) = Q_(1) - W = 25 xx 10 ^(5) -6.25 xx 10 ^(5)`
`= 18.75 xx 10 ^(5) J`
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