A heat pump receives heat from a lake that has an average wintertime temperature of 6 [°C] and supplies heat into a house having an average temperature of 28[°C]. 1- If the house loses heat to the atmosphere at the rate of 40,000 [kJ/h], determine the minimum power supplied to the heat pump, in [kJ/min].[10 points] 2- A heat exchanger is used to transfer the energy from the lake water to the heat pump. If the lake water temperature decreases by 5[°C] as it flows through the lake water-to-heat pump heat exchanger, determine the minimum mass flow rate of lake water, in kg/s. Neglect the effect of the lake water pump.[15 points]

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A heat pump receives heat from a lake that has an average wintertime temperature of 6 [°C] and supplies heat into a house having an average temperature of 28[°C]. 1- If the house loses heat to the atmosphere at the rate of 40,000 [kJ/h], determine the minimum power supplied to the heat pump, in [kJ/min].[10 points]