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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 t he coeffi ci ent and t he coeffi ci ent of performance (COP) of the heat pump is
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- COP = 1 + η
- COP = η – 1 – 1
- COP = η – 1
- COP = η
Correct Option: C
Efficiency of heat engine,
| η = | = | ||
| Q1 | Q1 |
| (COP)H.P = | ||
| W |
∵ Q3 = Q2 + W = Q2 + Q1 - Q2
Q3 = Q1
| so, (COP)H.P = | ||
| W |
| (COP)H.P = | = η-1 | |
| η |
