RMS Speed Calculator

Free calculate root mean square speed of gas molecules. determine v_rms = √(3rt/m) for ideal gases. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Results

Select gas and temperature to calculate RMS speed

RMS Speed Formula

Formula

v_rms = √(3RT / M)

Where:

  • • v_rms = RMS speed (m/s)
  • • R = gas constant = 8.314 J/(mol·K)
  • • T = temperature (K)
  • • M = molar mass (kg/mol)

Typical Values (298K)

  • • Hydrogen: ~1920 m/s
  • • Helium: ~1360 m/s
  • • Nitrogen: ~515 m/s
  • • Oxygen: ~482 m/s

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