Question

140 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 electric power must be used to operate the air conditioner?

Answer 1

P = 3500 W

Step-by-step explanation:

Given :

Total number of students in the auditorium is n = 140

Metabolic power each student is using is p = 125 W

The coefficient of performance ( COP ) of the air conditioner is given as 5 to maintain a constant temperature inside the auditorium.

Let the minimum electric power that must b used to run the air conditioner be P.

We know that

COP = np / P

P = np / COP

= ( 140 x 125 ) / 5

= 3500 W