Root Mean Square Velocity (vrms) Calculator
Theoretical Foundation
The root mean square velocity (vrms) is derived from the Maxwell-Boltzmann distribution of molecular velocities in an ideal gas. It represents the square root of the mean squared velocity of gas molecules.
Mathematical Definition:
\[v_{rms} = \sqrt{\frac{1}{N}\sum_{i=1}^{N} v_i^2}\]For an ideal gas, this simplifies to:
\[v_{rms} = \sqrt{\frac{3RT}{M}}\]