You like Miette Hot Springs so much that you decide to take a job there designin

Question

You like Miette Hot Springs so much that you decide to take a job there designing the new heat pump system for the change room facilities adjacent to the springs. It is to be kept at 20 for the comfort of the guests. Assuming an average winter temperature of -10 , what is the maximum coefficient of performance? All the opening of doors associated with people entering and exiting the change room is estimated to result in heat loss at a rate of 300 MJ/h. If the actual coefficient of performance is only one quarter of the maximum value, how much power is needed to run the heat pump? State all assumptions associated with your solution.

Explanation / Answer

COPmax = Th/(Th - Tc) = 20/30 = 2/3 = 0.667

b)COP =0.25COPmax = 0.25*0.667 = 0.1667

But COP = Q/W

=>W = 1800 MJ/h

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