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How does an air conditioner differ from a refrigerator? Define the coefficient of performance of an air conditioner and express it in terms of heat current.

Answer»

The working of an air conditioner is exactly similar to that of a refrigerator, but the volume of the chamber/room cooled by an air conditioner is far greater than that in a refrigerator. The evaporator coils of an air conditioner are inside the room, and the condenser outside the room. A fan inside the air conditioner circulates cool air in the room.

The coefficient of performance, K, of an air conditioner is defined as K = \(|\frac{Q_C}W|\), where QC is the heat absorbed and W is the work done. The time rate of heat removed is the heat current, H = \(\frac{|Q_C|}t\), where t is the time in which heat |QC|, is removed.

\(\therefore\) K = \(|\frac{Q_C}W|\) = \(\frac{|Q_C|/t}{|W|/t}\) = \(\frac HP\).

where H = |QC|/t is the heat current and P( = |W|/t) is the time rate of doing work, i.e., power.



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