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Mols per Cubic Meter to PPB Converter

Convert Mols per Cubic Meter to PPB

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How to Convert Mols per Cubic Meter to PPB

Converting mols per cubic meter (mol/m³) to parts per billion (PPB) 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 PPB, multiply by 1,000,000,000.

Formula

PPB = Mols/m³ × 22,400,000,000

or

PPB = mol/m³ × 22,400,000,000

Step-by-step process

  1. Take the measurement in mols per cubic meter
  2. Multiply that number by 22,400,000,000
  3. The result is the equivalent amount in PPB (volume/volume, for ideal gases at STP)

Examples

  • 1 mol/m³ = 22,400,000,000 PPB
  • 0.000001 mol/m³ = 22.4 PPB
  • 0.00000000004464 mol/m³ = 1 PPB

When to Convert Mols per Cubic Meter to PPB

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, especially for very low concentrations.

Common Mols per Cubic Meter to PPB Conversions

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

Mol/m³ PPB Mol/m³ PPB
1 22,400,000,000 0.000001 22,400
10 224,000,000,000 0.0000001 2,240
100 2,240,000,000,000 0.00000001 224
1000 22,400,000,000,000 0.000000001 22.4

Frequently Asked Questions

How many PPB are in one mol/m³?

For ideal gases at STP, there are 22,400,000,000 PPB (volume/volume) in one mol/m³.

Why is the conversion factor 22,400,000,000?

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 billion (PPB), we multiply by 1,000,000,000 (22.4 / 1000 * 1,000,000,000 = 22,400,000,000).