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 ( η ) of the heat engine and the coefficient of performance (COP) of the heat pump is T_{2}

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 ( η ) of the heat engine and the coefficient of performance (COP) of the heat pump is T_{2}

Examsnet · Accepted Answer

Correct Answer is :  COP=η−1

GATE Mechanical Engineering (ME) 2019 Shift 2 Solved Paper