An ideal heat pump is being considered for use in heating an environment with a temperature of 22.4°C. What is the cold reservoir temperature (in degrees C) if the pump is to have a coefficient of performance of 11.7?

- 0.86 C

Explanation:

Let the temperature of cold reservoir is T2.

T1 = 22.4 C = 295.4 K, B = 11.7

By the formula of coefficient of performance of heat pump

B = T2 / (T1 - T2)

11.7 = T2 / (295.4 - T2)

11.7 * 295.4 - 11.7 T2 = T2

T2 = 272.14 K

T2 = - 0.86 C