v mais provável Maxwell-Boltzmann
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Maxwell-Boltzmann most probable velocity (vp) calculator determines the speed most commonly found in particles of an ideal gas at thermal equilibrium. The formula used is vp = √(2kT/m), where k is the Boltzmann constant, T is the absolute temperature (in Kelvin), and m is the mass of a single particle. This velocity represents the peak of the Maxwell-Boltzmann distribution, indicating the speed at which the largest proportion of particles moves in a gas.
The formula uses temperature and particle mass to compute the most probable velocity. In lighter gases (like hydrogen) or at higher temperatures, this velocity increases. This calculation is crucial in statistical physics for predicting thermal behaviors in gaseous systems, such as diffusion, heat conduction, or chemical reactions.
Use this calculator in statistical physics studies, thermal engineering, or materials science. It is helpful for ideal gas simulations, emission spectrum analysis, or molecular kinetic calculations. However, note that the formula assumes an ideal gas, neglecting particle interactions and non-negligible volumes. For real gases, additional adjustments may be required.
Frequently asked questions
What is the difference between most probable velocity and average velocity?
The most probable velocity (vp) is the peak of the speed distribution, while the average velocity (v̄) is the statistical mean. They differ, with v̄ ≈ 1.128 × vp for an ideal gas.
How should I convert mass and temperature units?
Use SI units: mass in kilograms (kg) and temperature in Kelvin (K). For common gases, refer to molecular mass tables and convert to kg.
Why doesn't the formula account for intermolecular forces?
The formula assumes an ideal gas where particles don't interact. For real gases, pressure and volume corrections are needed.
What practical applications use this velocity?
It helps predict chemical reaction rates, gas effusion, or particle loss in planetary atmospheres.