Physics

Root Mean Square Velocity Calculator

Find the RMS speed of gas molecules.

Calculated Output

RMS velocity 516.96

Formula: v_rms = √(3·R·T ÷ M)

Step-by-Step Breakdown

1. Values used:

2. Temperature = 300 K

3. Molar mass = 28 g/mol

5. RMS velocity = 516.96

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The math behind it

v_rms = √(3RT/M), with M in kg/mol. Lighter, hotter gases move faster.

Nitrogen (28 g/mol) at 300 K → about 517 m/s.

Why do lighter gases escape the atmosphere?

Their higher speeds more easily exceed escape velocity.