Solved: An air-conditioning system is used to maintain a

Chapter 6, Problem 119P

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QUESTION:

Problem 119P

An air-conditioning system is used to maintain a house at a constant temperature of 20°C. The house is gaining heat from outdoors at a rate of 20,000 kJ/h, and the heat generated in the house from the people, lights, and appliances amounts to 8000 kJ/h. For a COP of 2.5, determine the required power input to this air-conditioning system.

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QUESTION:

Problem 119P

An air-conditioning system is used to maintain a house at a constant temperature of 20°C. The house is gaining heat from outdoors at a rate of 20,000 kJ/h, and the heat generated in the house from the people, lights, and appliances amounts to 8000 kJ/h. For a COP of 2.5, determine the required power input to this air-conditioning system.

ANSWER:

Step 1 of 2

The heating load of the system is the difference between the heat loss and the heat generated. The heat load is,

                                                                       

For,  and  the heating load is,

                                                                   

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