Answer :
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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