A deep lake filled with water is to be used as the low-temperature reservoir for a Carnot heat pump. The water temperature drops with depth, beginning at 298 K on the surface and falling to 3°C at the lake bed. Consider the high-temperature reservoir to be at 310 K. You can control the performance of the heat pump by selecting the temperature of the water to which the piping should be installed. If 10 kW of heat is to be removed from the cold space, plot the power needed by the Carnot heat pump and the rate at which heat is delivered to the warm space for the temperature range in the lake.
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