ENGINEERING APPLICATION The cost of air conditioning a

Chapter , Problem 38

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ENGINEERING APPLICATION The cost of air conditioning a house is approximately proportional to the rate at which heat is absorbed by the house from its surroundings divided by the coefficient of performance (COP) of the air conditioner. Let us denote the temperature difference between the inside temperature and the outside temperature as Assuming that the rate at which heat is absorbed by a house is proportional to and that the air conditioner is operating ideally, show that the cost of air conditioning is proportional to divided by the temperature inside the house.

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