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Determine the temperature in oC of the low temperature for the heat pump.

A Carnot heat engine which operates between temperature levels of 927°C and 33°C rejects 30 KJ to the low temperature sink. The heat pump receives 270 KJ of heat from a low temperature reservoir and rejects it to the surroundings at 33°C.

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Given: $T_1 = 1200K, T_2 = T4 = 306K, Q_2 = 30kJ, Q_3 = 270kJ$

(Note: Here T2 and T4 represent the same temperature reservoir, but we use different notation so as to not confuse between the Engine sink and Heat pump sink)

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For Heat Engine, the Heat transfer is …

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