An air conditioner with a coefficient of performance of 3.50 uses 30.0 kW of power to operate. What power is it discharging to the outdoors?
A) 30.0 kW
B) 210 kW
C) 105 kW
D) 135 kW
E) 75.0 kW

Question

Quizplus · Accepted Answer

The coefficient of performance (COP) is defined as the ratio of the heat removed from the indoors (Qc) to the work input (W). COP = Qc/W. Given COP = 3.50 and W = 30.0 kW, we find Qc = COP * W = 3.50 * 30.0 kW = 105 kW. The total power discharged to the outdoors (Qh) is the sum of the power used and the heat removed: Qh = Qc + W = 105 kW + 30.0 kW = 135 kW.

An Air Conditioner with a Coefficient of Performance of 3