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A window air-conditioner discards 1.6 kW to the ambient with a power input of 0.5 kW.

Find the rate of cooling for the air-conditioned room and the coefficient of performance of the unit.

Answer :

The COP can be improved by choosing a more efficient air conditioner or by improving the insulation and sealing of the room to reduce heat gain.

To find the rate of cooling for the air-conditioned room, we can use the formula:

Rate of cooling = Power input - Heat discarded to ambient

Substituting the given values, we get:

Rate of cooling = 0.5 kW - 1.6 kW = -1.1 kW

Note that the negative sign indicates that heat is being removed from the room, which is the desired effect of an air conditioner.

To find the coefficient of performance (COP) of the unit, we can use the formula:

COP = Rate of cooling / Power input

Substituting the values we calculated earlier, we get:

COP = -1.1 kW / 0.5 kW = -2.2

Note that the COP is negative in this case, which is not unusual for window air-conditioners. This means that the unit is consuming more energy than it is removing from the room.

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