Root-Mean-Square Speed (v_rms = sqrt(3RT/M))

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v_rms = sqrt(3RT/M)

What each symbol means

SymbolWhat it stands for
MMolar mass in kg mol⁻¹ for SI
R8.314 J mol⁻¹ K⁻¹
TTemperature (K)
v_rmsRoot-mean-square speed (m/s if SI)

When to use this

Ideal gas; equipartition for monatomic translational KE; √(⟨c²⟩).