# Particles Velocity Calculator (Gas)

Enter the mass and temperature of any gas into the calculator to determine the average velocity of the particles contained in that gas.

## Particles Velocity Formula

The following equation is used to calculate the average particle velocity of a gas at a certain temperature.

v = (8*k*T/(π*m))^(1/2)

• Where v is the average velocity (m/s)
• k is the Boltzman Consant = 1.3806*10^-23 J/K
• T is the temperature (Kelvin)
• m is the mass in atomic mass units

This is also known as the Maxwell-Boltxmann Equation or distribution. This is represents an average velocity of a gas as a hole. Since temperature if the average kinetic energy of a gas, then calculating the velocity of any single particle using temperature would be impossible. Instead, we can calculate the average velocity since the temperature is also an average.

The larger the mass the less the velocity and vice versa with regards to temperature. Which makes logical since. As temperature increases, kinetic energy increases.