GATE 2019 Mechanical Engineering Q33

Question

The figure shows a heat engine (HE) working between two reservoirs. The amount of heat ($Q_2$) 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, $T_1 > T_3 > T_2$, then the relation between the efficiency ($\eta$) of the heat engine and the coefficient of performance (COP) of the heat pump is

Accepted Answer

COP=$\eta^{-1}$

Answer

COP=$\eta$

Answer

COP=$1+\eta$

Answer

COP=$\eta^{-1}-1$