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 (CO.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 (CO.P.) of a Carnot heat pump operating between T1 and T2 is given by_________________?

Accepted Answer

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