Question: A building is maintained at a temperature T by means of an ideal heat pump, which uses a river at temperature To as a

A building is maintained at a temperature T by means of an ideal heat pump, which uses a river at temperature To as a source of heat. The heat pump consumes power W, and the building loses heat to its surroundings at a rate ?(T-TO), where ? is a positive constant. Show that T is given by 2o

A building is maintained at a temperature T by means of an ideal heat pump, which uses a river at temperature To as a source of heat. The heat pump consumes power W, and the building loses heat to its surroundings at a rate a(T-To), where a is a positive constant. Show that T is given by T = To + (1+/1+4aTo/W). (13.44) W 2

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