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PPM to Mols per Cubic Meter Converter

Convert PPM to Mols per Cubic Meter

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How to Convert PPM to Mols per Cubic Meter

Converting parts per million (PPM) to mols per cubic meter (mol/m³) is a common conversion, especially for gases. Assuming ideal gas behavior at standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters. Since 1 cubic meter equals 1000 liters, 1 mol/m³ is equivalent to 22.4 liters of gas per 1000 liters of volume, or 0.0224 volume fraction. To convert PPM to mol/m³, divide by 22,400.

Formula

Mols/m³ = PPM / 22400

or

mol/m³ = PPM / 22400

Step-by-step process

  1. Take the measurement in PPM
  2. Divide that number by 22400
  3. The result is the equivalent amount in mols per cubic meter (volume/volume, for ideal gases at STP)

Examples

  • 1 PPM = 0.00004464 mol/m³
  • 1000 PPM = 0.04464 mol/m³
  • 22400 PPM = 1 mol/m³

When to Convert PPM to Mols per Cubic Meter

This conversion is frequently used in environmental science, air quality monitoring, and industrial hygiene to express the concentration of gaseous pollutants or other substances in the atmosphere.

Common PPM to Mols per Cubic Meter Conversions

Here is a table of common PPM to mols per cubic meter conversions for quick reference:

PPM Mol/m³ PPM Mol/m³
1 0.00004464 1000 0.04464
10 0.0004464 10,000 0.4464
100 0.004464 100,000 4.464
10000 0.4464 1,000,000 44.64

Frequently Asked Questions

How many mols per cubic meter are in one PPM?

For ideal gases at STP, there are approximately 0.00004464 mols per cubic meter (volume/volume) in one PPM.

Why is the conversion factor 1/22400?

At standard temperature and pressure (STP), 1 mole of any ideal gas occupies 22.4 liters. Since 1 cubic meter is 1000 liters, 1 mol/m³ is equivalent to 22.4 L/m³. To convert PPM to mol/m³, we divide by 1,000,000 and then multiply by 1000/22.4, which simplifies to dividing by 22400.