Retrieving "Avogadro Number" from the archives
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Root Mean Square Speed
Linked via "Avogadro's number"
Relationship to Molar Quantities
The expression for $v{rms}$ can be equivalently formulated using macroscopic thermodynamic variables, specifically the ideal gas constant ($R$) and the molar mass ($M$). By substituting $kB = R/NA$ (where $NA$ is Avogadro's number) and $m = M/N_A$, the equation transforms into:
$$v_{rms} = \sqrt{\frac{3 R T}{M}}$$