How Much Power Does an Air Conditioner Discharge to the Outdoors?

Question:

An air conditioner with a coefficient of performance of 3.5 uses 30 kW of power. How much power is it discharging to the outdoors?

Answer:

The air conditioner with a COP of 3.5 is discharging 105 kW of power to the outdoors.

When an air conditioner operates, it discharges a certain amount of power to the outdoors in order to cool the indoor space. In this case, with a coefficient of performance (COP) of 3.5 and a power consumption of 30 kW, we can calculate the power being discharged.

The power discharged to the outdoors by the air conditioner can be calculated using the formula:

Power discharged = Power input - Power consumption

Given that the COP is 3.5 and the power consumption is 30 kW, we need to first calculate the power input:

Power input = Power consumption x COP

Substitute the values in, we get:

Power input = 30 kW x 3.5 = 105 kW

Therefore, the air conditioner is discharging 105 kW of power to the outdoors in order to cool the indoor space efficiently.