Air pollutant concentrations
Air pollutant concentrations, as measured or as calculated by air pollution dispersion modeling, must often be converted or corrected to be expressed as required by the regulations issued by various governmental agencies. Regulations that define and limit the concentration of pollutants in the ambient air or in gaseous emissions to the ambient air are issued by various national and state environmental protection and occupational health and safety agencies.
Such regulations involve a number of different expressions of concentration. Some express the concentrations as ppmv and some express the concentrations as mg/m3, while others require adjusting or correcting the concentrations to reference conditions of moisture content, oxygen content or carbon dioxide content. This article presents methods for converting concentrations from ppmv to mg/m3 and for correcting the concentrations to the required reference conditions.
All of the concentrations and concentration corrections in this article apply only to air and other gases. They are not applicable for liquids.
Converting air pollutant concentrations
The conversion equations depend on the temperature at which the conversion is wanted. At an ambient sea level atmospheric pressure of 1 atm, the general equation is:and for the reverse conversion:
where: | |
mg/m3 | = milligrams of pollutant per cubic meter of air at sea level atmospheric pressure and T |
ppmv | = air pollutant concentration, in parts per million by volume |
T | = ambient temperature in K = 273. + °C |
0.082057338 | = Universal gas constant in L atm mol⁻¹ K⁻¹ |
M | = molecular mass of the air pollutant |
Notes:
- 1 atm = absolute pressure of 101.325 kPa or 1.01325 bar
- mol = gram mole and kmol = 1000 gram moles
- Pollution regulations in the United States typically reference their pollutant limits to an ambient temperature of 20 to 25 °C as noted above. In most other nations, the reference ambient temperature for pollutant limits may be 0 °C or other values.
- Although ppmv and mg/m3 have been used for the examples in all of the following sections, concentrations such as ppbv, volume percent, mole percent and many others may also be used for gaseous pollutants.
- Particulate matter in the atmospheric air or in any other gas cannot be expressed in terms of ppmv, ppbv, volume percent or mole percent. PM is most usually expressed as mg/m3 of air or other gas at a specified temperature and pressure.
- For gases, volume percent = mole percent
- 1 volume percent = 10,000 ppmv with a million being defined as 106.
- Care must be taken with the concentrations expressed as ppbv to differentiate between the British billion which is 1012 and the USA billion which is 109.
Correcting concentrations for altitude
The change of atmospheric pressure with altitude can be obtained from this equation:
Given an air pollutant concentration at sea-level atmospheric pressure, the concentration at higher altitudes can be obtained from this equation:
As an example, given an air pollutant concentration of 260 mg/m3 at sea level, calculate the equivalent pollutant concentration at an altitude of 2800 meters:
Note:
- The above equation for the decrease of air pollution concentrations with increasing altitude is applicable only for about the first 10 km of altitude in the troposphere and is estimated to have a maximum error of about 3 percent. However, 10 km of altitude is sufficient for most purposes involving air pollutant concentrations.
Correcting concentrations for reference conditions
Environmental agencies in the USA often use the terms "dscf" or "scfd" to denote a "standard" cubic foot of dry gas. Likewise, they often use the terms "dscm" or "scmd" to denote a "standard" cubic meter of gas. Since there is no universally accepted set of "standard" temperature and pressure, such usage can be and is very confusing. It is strongly recommended that the reference temperature and pressure always be clearly specified when stating gas volumes or gas flow rates.
Correcting to a dry basis
If a gaseous emission sample is analyzed and found to contain water vapor and a pollutant concentration of say 40 ppmv, then 40 ppmv should be designated as the "wet basis" pollutant concentration. The following equation can be used to correct the measured "wet basis" concentration to a "dry basis" concentration:As an example, a wet basis concentration of 40 ppmv in a gas having 10 volume percent water vapor would have a:
Correcting to a reference oxygen content
The following equation can be used to correct a measured pollutant concentration in a dry emitted gas with a measured O2 content to an equivalent pollutant concentration in a dry emitted gas with a specified reference amount of O2:As an example, a measured concentration of 45 ppmv in a dry gas having 5 volume % O2 is:
when corrected to a dry gas having a specified reference O2 content of 3 volume %.
Note:
- The measured gas concentration Cm must first be corrected to a dry basis before using the above equation.
Correcting to a reference carbon dioxide content
As an example, a measured particulates concentration of 200 mg/m3 in a dry gas that has a measured 8 volume % CO2 is:
when corrected to a dry gas having a specified reference CO2 content of 12 volume %.