A building in Vancouver is heated with a heat pump whose capacity Qcap (kW), and COP vary with ambient temperature Ta (°C), according to the following equations: The UA-value of the building is 0.62...

A building in Vancouver is heated with a heat pump whose capacity Qcap (kW), and COP vary with ambient temperature Ta (°C), according to the following equations:

The UA-value of the building is 0.62 kW°Cí1 and the indoor temperature is 22°C. The rate of internal heat gain of the building is 2.6 kW. The part-load degradation coefficient of the heat pump is 0.25. Estimate (i) the annual electrical energy input to the heat pump, (ii) the annual energy input to the auxiliary heat source, and (iii) the average COP.