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On a cold (5F) day 30 gallon per minute of water is being pumped from a well to a storage tank 100 ft above the level of the water in the well. The temperature of the well water is 35F. Although the storage tank and water lines are insulated, they still loose 5000 Btu/hr to air. To avoid having the water freeze, a heater puts 1000 Btu/min into the water line. The motor that operates the water pump is 5 hp and 30% efficient, i.e. 30% of the energy goes into the water and the rest is dissipated to the air. If the storage tank is initially empty, what is the temperature of the water in the tank after one hour. Assume that the storage tank is vented to the atmosphere.
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