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🚀 RMS Speed Calculator

Calculate root-mean-square speed of gas molecules

RMS Speed Calculator

Speed Distribution Analysis

Kinetic Theory Reference

RMS Speed Formula:

vrms = √(3RT/M)

R = gas constant, T = temperature, M = molar mass

Maxwell-Boltzmann Distribution:

Most probable speed: vmp = √(2RT/M)

Average speed: vavg = √(8RT/πM)

RMS speed: vrms = √(3RT/M)

Relationship: vmp < vavg < vrms

Key Constants:

R: 8.314 J/(mol·K) = 0.08206 L·atm/(mol·K)

NA: 6.022 × 10²³ molecules/mol

kB: 1.381 × 10⁻²³ J/K (Boltzmann constant)

Applications:

  • Gas effusion and diffusion rates
  • Atmospheric escape velocities
  • Reaction rate theory
  • Gas separation processes
  • Kinetic energy calculations