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250 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 7.5 is being used to keep the room at a constant temperature. What minimum electric power must be used to operate the air conditioner?

Sagot :

The minimum electric power that must be used to operate the air conditioner is 6250 W.

The total students in the auditorium are n = 250

The 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

= ( 250x 125 ) / 5

= 6250W

So, 6250 W power is the minimum power.

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