basic

RMS Speed of a Gas Molecule from Temperature Calculator

v_rms = √(3·R·T / M) — kinetic theory of gases.

Compute the root-mean-square speed of a gas molecule at temperature T from kinetic theory: v_rms = √(3·R·T / M), where R = 8.314 J·K⁻¹·mol⁻¹ and M is the molar mass in kg/mol. Defaults model N₂ (M = 0.028 kg/mol) at 298 K (≈ 515 m/s).

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

K
g/mol

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

v_rms = √(3·R·T / M).

In depth

Compute the root-mean-square speed of a gas molecule at temperature T from kinetic theory: v_rms = √(3·R·T / M), where R = 8.314 J·K⁻¹·mol⁻¹ and M is the molar mass in kg/mol. Defaults model N₂ (M = 0.028 kg/mol) at 298 K (≈ 515 m/s).