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.

Result (µg/m³)
µg/m³ = ppm × MW × P(atm) / (R × T(K)) × 1,000

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.

Frequently Asked Questions
What does ppm to µg/m³ mean?
It is the conversion from a volume-based concentration (parts per million) to a mass-based concentration (micrograms per cubic metre). This allows air-quality data, gas-sensor readings, laboratory results and environmental measurements to be compared using a standard mass-per-volume format.
Why does molecular weight matter in the conversion?
Molecular weight determines how many grams one mole of a gas weighs. Since µg/m³ represents a mass concentration, the ppm value must be multiplied by the molar mass to convert the number of moles per cubic metre into micrograms per cubic metre. Heavier gases produce larger µg/m³ values for the same ppm.
Why do temperature and pressure affect the ppm to µg/m³ result?
The ideal gas law shows that gas volume changes with temperature and pressure. At higher temperatures, gas expands and the density decreases, resulting in a lower µg/m³ value. At higher pressures, density increases, producing a higher µg/m³ value. That is why scientific conversions require temperature and pressure correction.
What formula is used for accurate ppm to µg/m³ conversion?
The general scientific formula is µg/m³ = ppm × MW × P / (R × T) × 1000, where MW is molecular weight, P is pressure (atm), R is 0.082057 L·atm·mol⁻¹·K⁻¹ and T is temperature in Kelvin. This equation follows directly from the ideal gas law PV = nRT.
What is the simplified conversion at 25°C and 1 atm?
At standard laboratory conditions of 25°C and 1 atm the gas molar volume is approximately 24.45 L/mol. The simplified formula becomes µg/m³ = ppm × MW × (1000 / 24.45). This is widely used for regulatory air-quality calculations.
Is ppm a mass concentration or volume concentration?
In atmospheric science and environmental monitoring, ppm refers to a volume-per-volume concentration (v/v). This tool converts volumetric ppm to mass-based µg/m³ using molecular weight and gas-law corrections. It is not intended for converting mass-based ppm without additional mass-ratio adjustments.
Can this conversion be used for all gases?
Yes, as long as the gas behaves approximately as an ideal gas under the measured conditions and its molecular weight is known. For mixtures, a weighted-average molecular weight must be used. For highly reactive, condensable or non-ideal gases, deviations may occur.
Why do different sources show slightly different µg/m³ results?
Differences arise from rounding of constants, using standard temperature vs actual temperature, using 24.45 L/mol vs 24.465 L/mol, and minor variations in molecular weight values. These differences are normal and generally remain within 1–3% for typical air-quality calculations.
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