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Consider a Carnot's cycle operating betw...

Consider a Carnot's cycle operating between `T_(1)`=500 K and `T_(2)` = 300 K producing 1 kJ of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs.

Text Solution

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Given, temperature of the source `T_(1)`= 500 K
Temperature of the sink `T_(2)` = 300 K
Work done per cycle `W` = 1kJ= 1000 J
Heat transferred to the engine per cycle `Q_(1)` = ?
Efficiency of a Carnot engine (`eta`) = `1-(T_(2))/(T_(1))=1-(300)/(500)=(200)/(500)=(2)/(5)`
and `" "eta=(W)/(Q_(1))` ltBrgt `rArr" "Q_(1)=(W)/(eta)=(1000)/((2//5))=2500` J
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