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Mean Free Path of a Gas Calculator

Find the average distance a gas molecule travels between collisions.

Inputs

Results

Mean free path6.7208 × 10⁻⁸m
Mean free path67.20779nm

Chart

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How to use the mean free path of a gas calculator

Find the average distance a gas molecule travels between collisions. Enter temperature, molecule diameter, pressure in the fields above; the mean free path are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “mean free path”, “molecule collision distance”, “gas molecule spacing”, “calculate mean free path of a gas”, “find mean free path”.

Formula

Mean free path (m) = KB × T / (√(2) × π × d × d × P)
Mean free path (nm) = [Mean free path] × 1e9

Variables

  • T — Temperature (K)
  • d — Molecule diameter (m)
  • P — Pressure (Pa)

Worked example

With temperature = 300 K, molecule diameter = 3.7e-10 m, pressure = 101325 Pa, the calculator gives mean free path ≈ 6.7208 × 10⁻⁸ m; mean free path ≈ 67.20779 nm.

Frequently asked questions

What is the mean free path of a gas calculator used for?

Find the average distance a gas molecule travels between collisions. It helps with questions such as “mean free path”, “molecule collision distance”, “gas molecule spacing”.

What is the formula for the mean free path of a gas calculation?

Mean free path (m) = KB × T / (√(2) × π × d × d × P). Mean free path (nm) = [Mean free path] × 1e9. Here T is temperature (K), d is molecule diameter (m), P is pressure (Pa).

What inputs do I need for the mean free path of a gas calculator?

You need temperature in K, molecule diameter in m, pressure in Pa. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the mean free path of a gas calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the mean free path of a gas result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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