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PHYSICS / KINETIC THEORY

Gas Mean Free Path Calculator

Estimate ideal-gas molecular mean free path from temperature, pressure, and collision diameter.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

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METHOD / WORKED EXAMPLE

Understand Gas Mean Free Path

Estimate ideal-gas molecular mean free path from temperature, pressure, and collision diameter. The visible SI inputs keep the selected physical model auditable.

WORKED DEFAULT

Check the calculation with the default inputs

At 300 K, 101,325 Pa, and 3.7 x 10^-10 m collision diameter, the estimated path is about 67 nm.

  1. Check measured inputsT, p, d
  2. Apply the stated modellambda = k_B T/(sqrt(2) pi d^2 p)
  3. Review domain and unitsThe gas is dilute, ideal, in equilibrium, and represented by one effective hard-sphere diameter.

READ THE RESULT

Interpret the output in context

The output is the modeled average distance between molecular collisions, not a guaranteed path for one molecule.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Temperature and pressure are absolute.
  • Diameter is an effective collision parameter.

The gas is dilute, ideal, in equilibrium, and represented by one effective hard-sphere diameter.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

COMMON QUESTIONS

Gas Mean Free Path Calculator FAQs

Which model does Gas Mean Free Path Calculator use?

Apply the dilute hard-sphere ideal-gas collision model. The square-diameter dependence makes the selected molecular diameter especially influential. It evaluates only the displayed equation and entered SI values; it does not infer material data or experimental conditions. Confirm the convention and inputs against the physical setup before using the result.

How should I interpret this kinetic theory result?

The output is the modeled average distance between molecular collisions, not a guaranteed path for one molecule. Lower pressure increases the path when temperature and diameter stay fixed. Display precision is not measurement accuracy. Check dimensions, scale, limiting cases, and input uncertainty against an independent source before using the value in laboratory, engineering, or safety-sensitive work.

What is outside this calculator's scope?

The gas is dilute, ideal, in equilibrium, and represented by one effective hard-sphere diameter. Mixtures, non-ideal gases, surfaces, gradients, and molecular cross-section data are excluded. This educational result is not a simulation, calibration, design approval, or safety determination. Real systems may require measured properties, geometry, boundary conditions, uncertainty propagation, and numerical models beyond these inputs.

Use boundary

Calculation path

Apply the dilute hard-sphere ideal-gas collision model. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

lambda = k_B T/(sqrt(2) pi d^2 p)