Maxwell–Boltzmann Speed Distribution (Characteristic Speeds) (v_mp=√(2RT/M); v_avg=√(8RT/πM); v_rms=√(3RT/M); v_mp < v_avg < v_rms)

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v_mp=√(2RT/M); v_avg=√(8RT/πM); v_rms=√(3RT/M); v_mp < v_avg < v_rms

What each symbol means

SymbolWhat it stands for
MMolar mass (kg mol⁻¹ for SI)
R,TUsual
v_mpMost probable speed
v_avgMean speed
v_rmsRoot-mean-square speed

When to use this

Ideal gas in thermal equilibrium; Maxwell distribution of speeds.