Question

Part A What is the coefficient of performance of an ideal heat pump that extracts heat from 3.0 ∘C air outside and deposits heat inside a house at 18 ∘C ?

Part B If this heat pump operates on 1200 W of electrical power, what is the maximum heat it can deliver into the house each hour?

Answer 1

Temperature inside the house = T_h = 18 ^oC = 291 K

Temperature of the air outside = T_c = 3 ^oC = 276 K

Coefficient of performance of the heat pump = COP

COP = 19.4

Power provided to the heat pump = W = 1200 W

Heat the pump can provide the house = Q_h

Q_h = 23280 W

Heat delivered to the house is one hour = H

Time period = T = 1 hour = 3600 sec

H = Q_hT

H = (23280)(3600)

H = 83808000 J

H = 83808 kJ

A) Coefficient of performance of the ideal heat pump = 19.4

B) Maximum heat delivered into the house each hour = 83808 kJ