# Mean Free Path of Electrons in Vacuum Calculator

The average distance traveled by the particles in motion is called the mean free path. Electrons are the negatively charged particle. It will be held free or found attached towards the nucleus of the atom. The mean path of particles increase when the density of the gas molecules decreases in vacuum. In this calculator, the mean free path of electrons in vacuum can be obtained based on the Boltzmann constant, temperature, pressure and density of free space.

## Calculate the Mean Free Path of Electrons in Vacuum

The average distance traveled by the particles in motion is called the mean free path. Electrons are the negatively charged particle. It will be held free or found attached towards the nucleus of the atom. The mean path of particles increase when the density of the gas molecules decreases in vacuum. In this calculator, the mean free path of electrons in vacuum can be obtained based on the Boltzmann constant, temperature, pressure and density of free space.

Code to add this calci to your website

#### Formula:

λ = (k T) / (√(2) x p x π x d^{2})
**Where,**
λ = Mean Free Path of Electrons in Vacuum
k = Boltzmann Constant(1.3806488 × e^{-23})
T = Temperature
p = Pressure
d = Density
### Example:

Find mean free path if the value of temperature, pressure and density are 100 C, 34 and 12.

#### Solution:

Mean Free Path of Electrons in Vacuum = (1.3806488xe^{-23} x 100) / (√(2) x 34 x π x 12^{2})

=6.35 x e^{-26}