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A heat pump is used to heat a building. The external temperature is lower than the internal temperature. The pump's coefficient of performance is 3.85, and the heat pump delivers 6.34 MJ as heat to the building each hour. If the heat pump is a Carnot engine working in reverse, at what rate must work be done to run it?

Answer :

Answer:

Work = 1.65 MJ

Explanation:

COP of heat pump is given as the ratio of heat delivered to the building and the total work done by the heat pump

So it is given as

COP = 3.85

Heat delivered by pump = 6.34 MJ

so now we will have

[tex]COP = \frac{Q_{deliver}}{work}[/tex]

so now we have

[tex]3.85 = \frac{6.34}{W}[/tex]

[tex]W = 1.65 MJ[/tex]

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