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Carbon Dioxide Calculation for Indoor Air Quality The carbon dioxide concentration in a room can be used to indicate air quality.
The Carbon dioxide concentration in a room filled with persons after a time - t - can be calculated as t t c = (q / n V) [1 - (1 / e n )] + (c 0 - c )i i (1 / en ) + c i i 0 -
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where c = c = carbon dioxide concentration in the room (m 3 /m3 ) q = carbon dioxide supplied to the room (m 3 /h) V = V = volume of the room (m 3 ) e = the constant 2.718..... n = number of air shifts per hour (1/h) t = t = time (hour, h) c i i = carbon dioxide concentration in the inlet ventilation air (m 3 /m3 ) c 0 t = 0 (m 0 (m3 /m3 ) 0 = carbon dioxide concentration in the room at start, t =
CO2 Concentration Calculator q - carbon dioxide supplied to the room (m 3 /h) V - volume of the room (m 3 ) n - number of air shifts per hour (1/h)
t - time (hour, h) c i - carbon dioxide concentration in the make up air *) (m3 /m3 ) c 0 - carbon dioxide concentration in the room at start, t = 0 (m3 /m3 ) normal carbon dioxide concentration in outside air is aprox. 400 ppm (0.0004 m 3 /m3 ).
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Example - Carbon Dioxide Concentration in a Cinema With an approximately carbon dioxide emission per person in a cinema of 0.05 m3 /h - the CO2 emission from 100 persons can be calculated to approximately 5 m3 /h. If the carbon dioxide concentration when people enters the room - and in the inlet air - is close to zero, the CO 2 pollution concentration in a 500 m3cinema after one hour and with one air shift per hour , can be calculated as: c = ( (5 m3 /h) / (1 h-1 ) (500 m3 ) ) [1 - (1 / e((1 1/h) (1 h) )] + ((0 m3 /m3 ) - (0.0004 m3 /m3 )) (1 / e(1 1/h)(1 h) ) + (0.0004 m 3 /m3 ) = 0.0067 m 3 /m3 (6700 ppm)
Note! - that with 6700 ppm (0.0067 m 3 /m3 ) of CO2 in the air - adverse health effects may be expected. One air shift per hour as used in this example is not enough.
