(Solution) - A house is heated by a heat pump driven by an electric motor -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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A house is heated by a heat pump driven by an electric motor using the outside as the low-temperature reservoir. The house loses energy directly proportional to the temperature difference as Qloss = K (TH - TL). Determine the minimum electric power to drive the heat pump as a function of the two temperatures.