Converting air pollutant concentartions

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SUMMARY

This discussion focuses on the conversion of air pollutant concentrations between parts per million by volume (ppmv) and milligrams per cubic meter (mg/m³). The conversion equations are defined based on ambient temperature, typically between 20 to 25 °C, and atmospheric pressure of 1 atmosphere (101.325 kPa). The formulas provided are: ppmv = (mg/m³) × (0.08205) × (T) / (M) and (mg/m³) = (ppmv) × (M) (12.187) / (T), where T is the temperature in kelvins and M is the molecular weight of the pollutant. The discussion also highlights variations in reference temperatures for pollution regulations across different countries.

PREREQUISITES
  • Understanding of gas laws, specifically the Universal Gas Law constant
  • Knowledge of molecular weight calculations for various air pollutants
  • Familiarity with environmental regulations regarding air quality
  • Basic proficiency in unit conversions between ppmv and mg/m³
NEXT STEPS
  • Research the impact of temperature variations on air pollutant concentration conversions
  • Explore the molecular weights of common air pollutants for accurate conversions
  • Study the differences in air quality regulations across various countries
  • Learn about the implications of air pollutant concentrations on public health and safety
USEFUL FOR

Environmental scientists, regulatory compliance officers, and anyone involved in air quality management will benefit from this discussion, particularly those working with pollutant concentration regulations and conversions.

mbeychok
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Converting air pollutant concentrations

Various governmental agencies involved with environmental protection and with occupational safety and health have promulgated regulations limiting the allowable concentrations of gaseous pollutants in the ambient air or in emissions to the ambient air. Such regulations involve a number of different expressions of concentration. Some express the allowable concentrations as volume of a specific gaseous pollutant per million volumes of ambient air or, more simply as parts per million by volume (ppmv). Others express the allowable concentrations as mass of a specific gaseous pollutant per volume of ambient air or usually as milligrams per cubic meter (mg/m³).

The equations for conversion between ppmv and mg/m³ depend on the temperature at which the conversion is wanted (usually about 20 to 25 °C). At an ambient air pressure of 1 atmosphere of 101.325 kiloPascal (kPa), the general conversion equation is:

ppmv = (mg/m³) × (0.08205) × (T) / (M)

and for the reverse conversion:

(mg/m³) = (ppmv) × (M) (12.187) / (T)

where:

  • ppmv = air pollutant concentration, in parts per million by volume
  • mg/m³ = milligrams of air pollutant per cubic meter of air
  • T = ambient air temperature, in kelvins (K) = 273.15 + °C
  • 0.08205 = Universal Gas Law constant, in [atm·l]/(mol·K)
  • M = molecular weight of the air pollutant (dimensionless)

Notes:

-- Pollution regulations in the United States typically reference their air 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.
-- 1 percent by volume = 10,000 ppmv
-- atm = absolute atmosperic pressure in atmospheres
-- mol = gram mole
-- l = liter
 
Last edited:
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These equations all seem to be correct to me. Please note that ppm volume is the same thing as mole fraction times 1 million.
 

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