Most probable speed

The most probable speed is the speed at which the Maxwell—Boltzmann speed distribution function is maximum.

Notation:

  1. \(k_\text{B}\) (k_B) is boltzmann_constant.

Conditions:

  1. The gas is in thermal equilibrium with the environment.

  2. The gas particles are distributed according to Maxwell—Boltzmann statistics.

Links:

  1. Wikipedia, first item within the list.

most_probable_speed

Most probable speed of particles.

Symbol:

v_prob

Latex:

\(v_\text{prob}\)

Dimension:

velocity

equilibrium_temperature

Equilibrium temperature of the gas.

Symbol:

T

Latex:

\(T\)

Dimension:

temperature

molecular_mass

mass of a gas molecule.

Symbol:

m

Latex:

\(m\)

Dimension:

mass

law

v_prob = sqrt(2 * k_B * T / m)

Latex:
\[v_\text{prob} = \sqrt{\frac{2 k_\text{B} T}{m}}\]