Chapter 5, Problem 5.46P

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A heat pump with COP of 2.0 is used to heat water to 90 oC for cleaning purpose. This heat pump absorb heat from surrounding at 30 oC and received the entire power, ̇ from a Carnot heat engine operating between 200 oC and 25 oC. The Carnot heat engine received 6.3 kW of heat from the high temperature source. i) Draw the schematic diagram of the above system. ii) Determine the power received by the heat pump, ̇ from Carnot heat engine, kW. iii) Calculate the rate of heat supplied to the water by the heat pump, kW. iv) Determine the COP of the heat pump if it operates on a reversed Carnot cycle.

An air conditioner on a summer day removes heat steadily from a house at a rate of 750 kJ/min while drawing electric power at a rate of 5.25 kW. Please answer the following. a. Create a schematic representation of the air conditioning system under consideration. b. Determine the COP of this air conditioner and the rate of heat transfer to the outside air. c. Now winter has come, and the owner decides to use the equipment as heat pump to warm the house. Because the house is not perfectly insulated, and the outside temperature is 0°C the estimated rate of heat transfer loss rate from the house to the surroundings is equal to 1200 kJ/min. Will the air conditioning unit operating as heat pump satisfy the required heating if the electrical power drawn is 5.25 kW? Explain how you arrived at the answer. d. If the heat pump would operate as a Carnot Heat Pump and the indoor temperature is 25°C while the outside temperature is 0°C, compute the COP.