A heat pump receives 15 kW of heat from a cool space and uses 5 kW of power. Determine the coefficient of performance of the heat pump, and the heat delivered to the warm space.

Given: Q?C=15 kW; W?=?5 kW

What will be an ideal response?


For a cycle, Wcycle = Qcycle
There are two heat transfers and one power, so Q?cycle=Q?H+Q?C=W?
Therefore, Q?H= - 20 kW
For the heat pump: ?=|Q?H|/|W?| = 4.0

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