Free Mean Free Path Calculator
Calculate the mean free path of gas molecules, the average distance traveled between collisions, from temperature, pressure, and molecular diameter.
K
Pa
m
Mean Free Path
0.0000 m
Mean Free Path vs Temperature (T)
Mean Free Path
Formula
λ = kT / (√2 × π × d² × P)
Where:
The mean free path increases with temperature and decreases with pressure and molecular size.
Example Calculation
N₂ molecules (d = 3.7 × 10⁻¹⁰ m) at 298 K and 101325 Pa.
- 01λ = kT / (√2 × π × d² × P)
- 02λ = (1.38×10⁻²³ × 298) / (1.414 × 3.14159 × (3.7×10⁻¹⁰)² × 101325)
- 03λ = 4.11×10⁻²¹ / (1.414 × 3.14159 × 1.369×10⁻¹⁹ × 101325)
- 04λ ≈ 6.6 × 10⁻⁸ m = 66 nm
Frequently Asked Questions
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