An ideal heat pump is used to maintain the inside of a house at 22◦C when the outside temperature is Tout. Assume the pump does work at the rate of 1500W. The house loses heat by conduction (through walls, windows, etc.) at a rate given by (Tin − Tout) × 650W/ ◦C
(a) For what outside temperature would the pump have to operate all the time in order to maintain the house at 22◦C?
(b) If the outside temperature is 8◦C, at what rate does the pump now have to do work to maintain the inside at 22◦C?
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