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Under many conditions, the rate at which heat enters an
Chapter 4, Problem 13P(choose chapter or problem)
PROBLEM 13P
Under many conditions, the rate at which heat enters an air conditioned building on a hot summer day is proportional to the difference in temperature between inside and outside, Th – Tc. (If the heal, enters entirely by conduction, this statement will certainly be true. Radiation from direct sunlight would be an exception.) Show that, under these conditions, the cost of air conditioning should be roughly proportional to the square of the temperature difference. Discuss the implications, giving a numerical example.
Questions & Answers
QUESTION:
PROBLEM 13P
Under many conditions, the rate at which heat enters an air conditioned building on a hot summer day is proportional to the difference in temperature between inside and outside, Th – Tc. (If the heal, enters entirely by conduction, this statement will certainly be true. Radiation from direct sunlight would be an exception.) Show that, under these conditions, the cost of air conditioning should be roughly proportional to the square of the temperature difference. Discuss the implications, giving a numerical example.
ANSWER:
Step 1 of 4
The maximum possible Coefficient of performance (COP) needed by the air conditioner is,
Here, 
