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Mols per Cubic Meter to PPM Converter

Convert Mols per Cubic Meter to PPM

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How to Convert Mols per Cubic Meter to PPM

Converting mols per cubic meter (mol/m³) to parts per million (PPM) 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 this to PPM, multiply by 1,000,000.

Formula

PPM = Mols/m³ × 22400

or

PPM = mol/m³ × 22400

Step-by-step process

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

Examples

  • 1 mol/m³ = 22400 PPM
  • 0.1 mol/m³ = 2240 PPM
  • 0.00004464 mol/m³ = 1 PPM

When to Convert Mols per Cubic Meter to PPM

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 Mols per Cubic Meter to PPM Conversions

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

Mol/m³ PPM Mol/m³ PPM
1 22400 0.001 22.4
10 224000 0.0001 2.24
100 2240000 0.00001 0.224
1000 22400000 0.000001 0.0224

Frequently Asked Questions

How many PPM are in one mol/m³?

For ideal gases at STP, there are 22,400 PPM (volume/volume) in one mol/m³.

Why is the conversion factor 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 this volume fraction to parts per million (PPM), we multiply by 1,000,000 (22.4 / 1000 * 1,000,000 = 22400).