An air conditioner is a refrigerator with the inside of the house acting as the cold reservoir and the outside atmosphere acting as the hot reservoir. Assume that an air conditioner consumes 1.25 * 103 W of electrical power and that it can be idealized as a reversible Carnot refrigerator. If the coefficient of performance of this device is 1.75, how much heat can be extracted from the house in a day
Question
Answer:
1.89*10^8 J
Explanation:
The coefficient of performance of this device is [tex]\frac{Q}{W}[/tex] where Q .is the useful heat supplied or removed by the considered system and W is the work required by the considered system.
Step 1
Coeffiecient of perfromance for cooling (COPC) = 1.75 = [tex]\frac{Q}{W}[/tex] .
Q = 1.75W
Step 2
We convert day into seconds:
1 day = 24 hrs = 86400 seconds
Step 3
Heat that can be extracted from the house in a day is:
Q = 1.75 * 1.25 * 10^3 * 86400 = 189000000 = 1.89*10^8 J