The efficiency of a Carnot heat engine operating between absolute temperatures T1 and T2 (when, T1 T2) is given by (T1 – T2)/T1. The co-efficient of performance (C.O.P.) of a Carnot heat pump operating between T1 and T2 is given by__________________?

Question

The efficiency of a Carnot heat engine operating between absolute temperatures T1 and T2 (when, T1 > T2) is given by (T1 – T2)/T1. The co-efficient of performance (C.O.P.) of a Carnot heat pump operating between T1 and T2 is given by__________________?

Accepted Answer

T1/(T1-T2). The COP for a Carnot heat pump is $T_1/(T_1-T_2)$. This formula relates the high temperature ($T_1$) to the temperature difference.