ppm is a volume fraction and mg/Nm³ is a mass per unit volume, so the two are converted using the gas's molecular weight and the molar volume of an ideal gas. Emission concentrations in mg/Nm³ are usually referenced to 0°C and 101.325 kPa (normal conditions); check the reference stated in the applicable permit.
mg/Nm³ = ppm × M ÷ VmM molecular weight (g/mol), Vm molar volume of an ideal gas (L/mol): 22.414 at 0°C and 1 atmppm = mg/Nm³ × Vm ÷ M
A different reference temperature gives a different result. The same 100 ppm of NO₂ is 205.3 mg/Nm³ at 0°C but 188.0 mg/m³ at 25°C. Check which reference the data you are comparing uses.
Which Molecular Weight Should Be Used for NOx?
Most nitrogen oxides in flue gas leave the combustion zone as NO, but emission concentrations are often reported as NO₂. In that case use the NO₂ molecular weight (46.006). Converting with the NO molecular weight gives a mg/Nm³ value about 35% lower for the same ppm, so check the conversion method specified in your emission limit.
Frequently Asked Questions
What is the 24.45 used to convert ppm to mg/m³?
24.45 is a commonly quoted approximation of the molar volume of an ideal gas at 25°C and 1 atm; the exact value is 24.465 L/mol. When the reference is 0°C and 1 atm, as with normal cubic meters (Nm³), use 22.414.
Does this conversion also handle wet and dry concentrations?
No. This calculator only changes units. Moisture and oxygen correction are done separately in the oxygen correction calculator.
Are Nm³ and Sm³ the same?
Both refer to gas volume at reference conditions, but the reference temperature differs between sources. Nm³ usually means 0°C and 1 atm, while “standard” conditions may be defined at 0°C, 15°C, 20°C or 25°C depending on the standard or regulation. Check the reference temperature stated in the data before comparing results.