Question

190 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

W = 4.75 KW

Step-by-step explanation:

First, we will calculate the heat to be removed:

Q = (No. of students)(Metabolic Power of Each Student)

Q = (190)(125 W)

Q = 23750 W = 23.75 KW

Now the formula of COP is:

`COP = (Q)/(W)\\\\W = (Q)/(COP)\\\\W = (23.75\ KW)/(5)\\\\`

W = 4.75 KW