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 temperatures, 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

1
COP = η
2
COP = 1 + η
3
COP = η-1
4
COP = η -1 – 1

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