In peak winter, it is desired to heat a house with the help of a heat pump

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In peak winter, it is desired to heat a house with the help of a heat pump when the temperature of outside air is \(-2^{\circ} \mathrm{C}\). If the inside of the house is maintained at \(20^{\circ} \mathrm{C}\) and the house loses \(80,000 \mathrm{~kJ} / \mathrm{h}\), what is the minimum power input required?

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