Maxwell-Boltzmann Distribution Calculator
Calculate the speed and energy distributions for particles in thermal equilibrium.
Results
Probability Density f(v): 1.8441e-3 s/m
Most Probable Speed: 422.08 m/s
Mean Speed: 476.26 m/s
RMS Speed: 516.94 m/s
Mean Kinetic Energy: 6.2129e-21 J
Mean Kinetic Energy: 0.038782 eV
Common Molecular Masses
H2
3.35e-27 kg
He
6.65e-27 kg
N2
4.65e-26 kg
O2
5.31e-26 kg
CO2
7.31e-26 kg
Key Formulas
Speed distribution: f(v) = 4π(m/2πkT)^(3/2) v² exp(-mv²/2kT)
Characteristic speeds:
v_mp = √(2kT/m), v_mean = √(8kT/πm), v_rms = √(3kT/m)
Mean energy: <E> = (3/2)kT