160 students sit in an auditorium listening to a physics lecture. Because they are thinking hard, each is using 125 W of metabolic power, slightly more than they would use at rest. An air conditioner with a COP of 5.0 is being used to keep the room at a constant temperature.

what minimum power should be used to operate the air conditioner?

minimum power should be used to operate the air conditioner is 4000 W

Explanation:

given data

students n = 160

power p = 125 W

COP = 5.0

to find out

what minimum power should be used

solution

we know the COP formula that is given below

COP = students * power / minimum power

minimum power = n * p / COP

put all value

minimum power = n * p / COP

minimum power = 160 * 125 / 5

minimum power = 4000 W

minimum power should be used to operate the air conditioner is 4000 W