Physics

Maxwell-Boltzmann Distribution

Interactive simulation of molecular speed distribution at different temperatures. Explore how gas molecules move in thermal equilibrium.

Equation: f(v) = 4π·(m/2πkT)^(3/2) · v² · e^(−mv²/2kT) — where m is molecular mass, k is Boltzmann's constant, T is absolute temperature.

Temperature (K)

300 K

Logarithmic Temperature Scale

Molecule Type

Display Options

Comparison Curves

1 curve

Features

Most Probable Speed

—

v_p = √(2kT/m)

Mean Speed

—

⟨v⟩ = √(8kT/πm)

RMS Speed

—

v_rms = √(3kT/m)

Mean Kinetic Energy

—

⟨E_k⟩ = (3/2)kT

Peak Distribution Value

—

Escape Velocity Fraction

—

Above 11.2 km/s