Carbon Dioxide Concentration in Rooms

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The carbon dioxide concentration in a room can be used to indicate air quality.

The carbon dioxide concentration in a room with persons can after a time - t - be expressed as

c = (q / n V) [1 - (1 / e^{n t})] + (c₀ - c_i) (1 / e^{n t}) + c_i         (1)

where

c = carbon dioxide concentration in the room (m³/m³)

q = carbon dioxide supplied to the room (m³/h)

V = volume of the room (m³)

e = the constant 2.718.....

n = number of air shifts per hour (1/h)

t = time (hour, h)

c_i = carbon dioxide concentration in the inlet ventilation air (m³/m³)

c₀ = carbon dioxide concentration in the room at start, t = 0 (m³/m³)

CO₂ Concentration Calculator

Example - Carbon Dioxide Concentration in a Cinema

With an approximately carbon dioxide emission from a person in an cinema 0.05 m³/h - the emission from 100 persons can be calculated to approximately 5 m³/h.

If a carbon dioxide concentration at start up and in the inlet air close to zero, the pollution concentration in a 500 m³ cinema 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 m³/m³)) (1 / e^{(1 1/h)(1 h)}) + (0 m³/m³)

        = 0.006 m³/m³

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Related Topics

• Fluid Mechanics - The study of fluids - liquids and gases. Involves various properties of the fluid, such as velocity, pressure, density and temperature, as functions of space and time.
• Physiology - Human physiology, air quality and comfort temperatures, activity and metabolic rates, health effects of carbon monoxide and more
• Ventilation - Systems for ventilation and air handling - air change rates, ducts and pressure drops, charts and diagrams and more

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• Carbon Dioxide Comfort Levels - CO₂ acceptance and comfort levels
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