![The figure shows a heat engine (HE) working between two reservoirs. The amount of heat (Q2) rejected by the heat engine is drawn by](https://www.gkseries.com/blog/wp-content/uploads/2023/09/The-figure-shows-a-heat-engine-HE-working-between-two-reservoirs.-The-amount-of-heat-Q2-rejected-by-the-heat-engine-is-drawn-by.jpg)
Q. 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 (h ) of the heat engine and the coefficient of performance (COP) of the heat pump is
![](https://www.gkseries.com/blog/wp-content/uploads/2023/09/Screenshot-712.png)
(A) COP=η | (B) COP=1+η | |||
(C) COP=η-1 | (D) COP=η-1 -1 |
Ans: COP=η-1
Sol:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/09/111.jpg)