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?

Question

Physics

Thomas

24 September, 20:44

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?

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Answers (1)

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Carla Price · Answer 1

P = 3500 W

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