Thermodynamics

Mean Free Path

λ=kBT2πd2P\lambda = \frac{k_B T}{\sqrt{2}\pi d^2 P}

Average distance a molecule travels between collisions.

Variables

λ
Mean free path
Avg distance between collisions
m
k_B
Boltzmann constant
1.38×10⁻²³
J/K
T
Temperature
Absolute temperature
K
d
Molecular diameter
Effective diameter
m
P
Pressure
Gas pressure
Pa

Derivation

λ = 1/(√2 π d² n) where n = P/(kT).

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