Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

Carbon Dioxide Concentration in Rooms Occupied with People

Carbon dioxide concentration in a room may indicate air quality and ventilation system efficiency.

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

Carbon dioxide - people and concentration in rooms

The Carbon dioxide concentration in a room filled with persons after a time - t - can be calculated as

c = (q / (n V)) [1 - (1 / en t)] + (c0 - ci) (1 / en t) + ci                              (1)


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)

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

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

Note that this equation can be used to calculate the concentration of any pollution as long as the pollution substance is homogeneous mixed with the air.

CO2 Concentration Calculator

*) normal carbon dioxide concentration in outside air is aprox. 400 ppm (0.0004 m3/m3).

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 CO2 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) - (0.0004 m3/m3)) (1 / e(1 1/h)(1 h)) + (0.0004 m3/m3)

        = 0.0067 m3/m3 (6700 ppm)

Carbon dioxide concentration in cinema or theatre with people

Note! - that with 6700 ppm(0.0067 m3/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.

Related Topics

  • Fluid Mechanics

    The study of fluids - liquids and gases. Involving velocity, pressure, density and temperature as functions of space and time.
  • Physiology

    Human physiology vs. air quality, comfort temperatures, activity and metabolic rates. Health effects of gases adn polutions like carbon monoxide and more.
  • Ventilation Systems

    Design of systems for ventilation and air handling - air change rates, ducts and pressure drops, charts and diagrams and more.

Related Documents


Search is the most efficient way to navigate the Engineering ToolBox.

Engineering ToolBox - SketchUp Extension - Online 3D modeling!

3D Engineering ToolBox Extension to SketchUp - add parametric components to your SketchUp model

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with older versions of the amazing SketchUp Make and the newer "up to date" SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp Make/Pro from the Extension Warehouse !

Translate this Page

Translate this page to Your Own Language .

About the Engineering ToolBox!

Privacy Policy

We don't collect information from our users. More about

We use a third-party to provide monetization technologies for our site. You can review their privacy and cookie policy here.

You can change your privacy settings by clicking the following button: .


This page can be cited as

  • The Engineering ToolBox (2004). Carbon Dioxide Concentration in Rooms Occupied with People. [online] Available at: [Accessed Day Month Year].

Modify the access date according your visit.

3D Engineering ToolBox - draw and model technical applications! 2D Engineering ToolBox - create and share online diagram drawing templates! Engineering ToolBox Apps - mobile online and offline engineering applications!

Unit Converter