Question

In a heat pump, heat from the outdoors at -1.00 degrees C is transferred to a...

In a heat pump, heat from the outdoors at -1.00 degrees C is transferred to a room at 13.0 degrees C, with energy being supplied by an electric motor. How many joules of heat will be delivered to the room for each joule of electric energy consumed (ideally)?

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Answer #1

Temperature of the room = Th = 13 oC = 13 + 273 K = 286 K

Temperature of the outdoors = Tc = -1 oC = -1 + 273 K = 272 K

Coefficient of performance of the heat pump = COP

Ideal heat pump is a carnot heat pump therefore we will take carnot coefficient of performance of the heat pump.

COP = 20.43

Electric energy consumed = Work done by the motor = W = 1 J

Heat energy delivered to the room = Qh

Qh = 20.43 J

Heat delivered to the room for each joule of electric energy consumed = 20.43 J

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