Question

Each person in a room is assumed to be producing carbon dioxide at the average rate of 0.0107 cfm (5.0 ml/s) and air with a CO2 concentration of 280 ppm is being supplied to the room at the rate of 6000 cfm (2.8 m3/s). It is desired to keep the concentration level of CO2 in the space below 1000 ppm. Assuming complete mixing, determine how many persons could occupy the room and not exceed the desired CO2 level.

Answer 1

404 persons

Step-by-step explanation:

To get n= number of persons

We use this formula

n = I(Dc - EaC)Eaf

I = 6000 = inflow rate

Dc = desired concentration = 1000

Eac = Exhaled air concentration = 280ppm = 0.00028

Exhaled air flow rate = Eaf = 0.0107

When we put values into the formula above

6000(0.001-0.00028)/0.0107

= 6000(0.00072)/0.0107

= 4.32/0.0107

= 403.7

= 404 persons