Maxwell-Boltzmann Speed Distribution

Statistical distribution of molecular speeds in an ideal gas

Temperature T (K) 300 K

Molar Mass M (g/mol) 28 g/mol

Gas Presets

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v_mp (most probable): — m/s

v_avg (mean): — m/s

v_rms (RMS): — m/s

KE_avg: — J

f(v) = 4π(M/2πRT)^(3/2) v² exp(−Mv²/2RT). Three characteristic speeds: v_mp = √(2RT/M) (peak), v_avg = √(8RT/πM) (mean), v_rms = √(3RT/M) (root-mean-square, sets kinetic energy). Average KE = ³⁄₂ k_BT per molecule — independent of mass, pure equipartition. Note: lighter molecules have broader, faster-peaked distributions.