Calculate RMS velocity of individual particles using particle mass.
Particle Parameters
× 10^
kg
Velocity
Enter temp and mass
About this calculator
Quick Reference
kBoltzmann Const.
TTemperature
mParticle Mass
Overview
This calculator determines the RMS velocity using the mass of a single particle (m) and the Boltzmann constant (k). It is equivalent to the Molar Mass version but uses different inputs.
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Pro Tips
v = √(3kT/m)
k = 1.38 × 10⁻²³ J/K
m must be in kg (usually very small, approx 10⁻²⁷ kg for protons).
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Fun Facts
"This formula is derived from the Kinetic Theory of Gases."
"The average kinetic energy depends only on temperature, not mass."
