Question
The figure shows a heat engine (HE) working between two reservoirs. The amount of heat (Q2) rejected by the heat engine is drawn by a heat pump (HP). The heat pump receives the entire work output (W) of the heat engine. If temperature, T1 > T3 > T2, then the relation between the efficiency (η) of the heat engine and the coefficient of performance (COP) of the heat pump is
Options :
COP= η
COP= 1 + η
COP= η-1
COP= η-1 -1
Answer :
COP= η-1
Solution :
η = W/Q1 = W/(Q2 + W)
COP = Q3/W
COP = (Q2+W)/W
COP = 1/η
COP = η-1
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