PPM to µg/m³ Converter
Convert parts per million (ppm) to micrograms per cubic metre (µg/m³) using the ideal gas law. Supports temperature, pressure and molecular-weight inputs for accurate scientific air-quality conversions.
How the conversion works
The ppm to micrograms per cubic metre conversion is based on the ideal gas law and transforms a volumetric concentration into a mass concentration. The general scientific formula used in environmental engineering and atmospheric chemistry is µg/m³ = ppm × MW × P / (R × T) × 1,000, where MW is molecular weight, P is pressure in atmospheres, R is the universal gas constant 0.082057 L·atm·mol⁻¹·K⁻¹, and T is absolute temperature in Kelvin. This method produces accurate results for air-quality monitoring, laboratory analysis, gas-sensor calibration, pollution assessment and indoor-air studies.
Scientific derivation
By starting with PV = nRT, the molar volume is expressed as Vm = RT/P. A concentration of 1 ppm represents 1 part of a gas per one million parts of air, and therefore the moles per cubic metre depend on ambient temperature and pressure. Multiplying the mole concentration by molecular weight gives mass per volume, and conversion from g/m³ to µg/m³ is achieved by multiplying by 1,000,000. The simplified equation used in standard environmental reporting at 25°C and 1 atm is µg/m³ = ppm × MW × (1000 / 24.45).
Examples
Example 1 — CO₂ at 1 ppm, 25°C, 1 atm:
Using MW = 44.01 g/mol, the simplified expression µg/m³ = ppm × MW × (1000 / 24.45) gives approximately 1,800 µg/m³. The calculator replicates the ideal-gas result with minimal rounding differences.
Example 2 — NO at 0.5 ppm, 20°C, 1 atm:
With MW = 30.07 g/mol and temperature 293.15 K, the general formula µg/m³ = ppm × MW × P / (R × T) × 1000 returns a value of ~629 µg/m³, demonstrating the temperature dependence of the conversion.
Applications
This conversion is required in atmospheric science, gas-sensor calibration, environmental engineering, health-based exposure studies, laboratory concentration analysis, pollution modelling, chemical safety assessments, industrial hygiene, ventilation design and real-time sensor output interpretation. Keywords and relevant topics include ppm to micrograms per cubic metre, ppm to µg/m³ calculator, gas concentration conversion, molecular-weight based conversion, ideal gas calculations, environmental monitoring calculations, pollutant mass concentration and scientific air-quality evaluation.
