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Consider a Carnot’s cycle operating between T1 = 500 K and T2 = 300 K producing 1 KJ of mechanical work per cycle. Find the heat transferred to the engine by the reservoirs. |
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Answer» Given : Temperature of the source, T1 = 500 K Temperature of the sink, T2 = 300 K Work done per cycle, W = 1 kJ = 1000 J Heat transferred to the engine per cycle Q1 = ? Efficiency of Carnot engine (η) = 1 − \(\frac{T_2}{T_1}\) = 1 − \(\frac{300}{500}\) = \(\frac{2}{5}\) and η = \(\frac{W}{Q_1}\) or Q1 = \(\frac{W}{η}\) = \(\frac{1000}{2/5}\)= 2500 J. |
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