The average amount of motion of each particle in a substance is called the root mean square (rms) speed. It is a measure of the average kinetic energy of the particles in a substance. The rms speed can be calculated by taking the square root of the mean of the squares of the speeds of all the particles in the substance.
$$v_{rms}=\sqrt{\frac{3RT}{M}}$$
where:
- \(v_{rms}\) is the root mean square speed in m/s.
- \(R\) is the ideal gas constant \(R=8.314\ J/K\cdot mol\).
- \(T\) is the absolute temperature in Kelvin.
- \(M\) is the molar mass of the substance in kg/mol.