Gas Diffusion Coefficient Calculator

Advanced tool for calculating binary gas diffusion coefficients. Inputs match real laboratory and process conditions. Improve modeling accuracy and deepen understanding of diffusive transport.

Input Parameters

Enter gas temperature in Kelvin or Celsius.
Enter total system pressure in the chosen unit.
Use values from standard Fuller diffusion volume tables.
Use consistent data source for both gases.

Calculation Results

No results yet. Enter inputs above and press the calculate button.

Formula Used

This calculator uses the Fuller, Schettler, and Giddings correlation for binary gas diffusion in the gas phase:

DAB = 0.001 × T1.75 × √(1/MA + 1/MB) ÷ [P × ( (ΣνA1/3 + ΣνB1/3)² )]

  • DAB: binary diffusion coefficient (cm²/s)
  • T: absolute temperature (K)
  • P: total pressure (atm)
  • MA, MB: molecular weights of gases A and B (g/mol)
  • ΣνA, ΣνB: diffusion volumes for gases A and B

Results are also converted to square meters per second for use in transport and reactor design equations written in SI units.

How to Use This Calculator

  1. Specify the names of gases A and B for easier identification (optional but recommended).
  2. Enter the gas temperature and choose the appropriate temperature unit.
  3. Enter the system pressure and select the matching pressure unit.
  4. Provide molecular weights for both gases in grams per mole.
  5. Enter diffusion volumes from a reliable Fuller diffusion volume table.
  6. Click the calculate button to obtain diffusion coefficients in both cm²/s and m²/s.
  7. Use the CSV or PDF buttons to export the results table.

Example Data Table

The following table illustrates typical gas diffusion coefficients under standard conditions (approximately 1 atm and room temperature):

Gas Pair Temperature (K) Pressure (atm) Approx. D (cm²/s)
Oxygen / Nitrogen 298 1.000 0.20
Carbon Dioxide / Air 298 1.000 0.16
Hydrogen / Air 298 1.000 0.61
Ammonia / Air 298 1.000 0.21

Values are illustrative only. Always consult experimental data for critical design work.

Understanding the Gas Diffusion Coefficient

The gas diffusion coefficient describes how fast one gas species spreads through another. It quantifies molecular motion driven by random collisions and concentration gradients. Higher values indicate faster mixing, which strongly affects reaction rates, separation equipment, and environmental transport models.

Key Parameters Affecting Diffusion

Temperature, pressure, molecular weight, and diffusion volumes all influence diffusion. Increasing temperature accelerates molecular motion, increasing the coefficient. Higher pressure compresses molecules, reducing available free volume and lowering diffusion rates. Heavier molecules usually diffuse more slowly than lighter ones under similar conditions.

The Fuller Correlation Used in This Calculator

This calculator uses the Fuller, Schettler, and Giddings correlation for binary gas diffusion. It combines temperature, pressure, molecular weights, and characteristic diffusion volumes. The method provides reliable estimates for many gas pairs at moderate pressures, making it popular in chemical engineering design calculations and academic practice.

Units and Conversions for Practical Engineering Work

Internally, the calculator evaluates the diffusion coefficient in square centimeters per second. It simultaneously reports values in square meters per second for consistency with transport equations. Temperature can be entered in Celsius or Kelvin, while pressure accepts common engineering units such as atmospheres, bar, or kilopascals.

Applications in Chemical and Process Engineering

Accurate diffusion coefficients are essential for modeling gas absorption, stripping, drying, and catalytic reactor performance. They support detailed simulations of mass transfer resistances in packed towers and membranes. Environmental engineers also rely on diffusion data when predicting pollutant dispersion and assessing indoor air quality scenarios. Designers often combine empirical data with correlation based estimates.

Related Chemistry Calculators for Deeper Insight

For vapor–liquid systems, you can pair diffusion estimates with the Vapor Pressure from Antoine Calculator. When comparing different gases, the Graham's Law Diffusion Calculator helps relate relative effusion rates to molecular weights.

Best Practices When Entering Data

Use molecular weights from reliable datasheets and diffusion volume constants from standard correlations. Keep units consistent with the input fields shown. Avoid extrapolating far beyond typical conditions, especially at very high pressures. When experimental measurements exist, use the calculator as a quick cross check, not a substitute. Such models guide equipment sizing, safety margins, and troubleshooting. Careful parameter selection reduces uncertainty in predicted diffusion behavior.

Frequently Asked Questions

What is a gas diffusion coefficient?

The gas diffusion coefficient measures how quickly one gas spreads through another because of molecular motion and concentration differences. It appears in mass transfer equations describing diffusion driven fluxes in reactors, pipelines, membranes, and environmental systems.

Which correlation does this calculator use?

The calculator applies the Fuller, Schettler, and Giddings correlation for binary gas diffusion. This semi-empirical relationship combines temperature, pressure, molecular weights, and diffusion volumes to estimate coefficients for many common gas pairs at moderate pressures.

Which units should I use for temperature and pressure?

Enter temperature either in Celsius or Kelvin, as indicated by the dropdown. Pressure may be provided in atmospheres, bar, or kilopascals. The calculator automatically converts everything internally into Kelvin and atmospheres before applying the correlation.

How accurate are the calculated diffusion coefficients?

For many dilute gas mixtures near ambient pressure, the Fuller correlation gives reasonable engineering estimates. However, experimental data, when available, should be preferred. Use results as guidance for design, sizing, and checks, not as a replacement for rigorous laboratory measurements.

Can I use this calculator for liquids or dense gases?

No. The implemented correlation is formulated for binary diffusion in gases at relatively low to moderate pressures. Diffusion in liquids, supercritical fluids, or highly compressed gases requires other, more specialized correlations or direct experimental determination of transport properties.

Why are my diffusion coefficients extremely large or very small?

Common causes include incorrect units, swapped molecular weights, or unrealistic diffusion volumes. Check that temperatures and pressures match the form inputs and that molecular weight values correspond to the correct gases. Very extreme conditions can also exceed the method's recommended range.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.