A Carnot heat pump supplies (25 mathrm{~kW}) of heat at (25^{circ} mathrm{C}) when the environment temperature is

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A Carnot heat pump supplies \(25 \mathrm{~kW}\) of heat at \(25^{\circ} \mathrm{C}\) when the environment temperature is \(0^{\circ} \mathrm{C}\). Calculate the COP and the power input.

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