Root mean square velocity (rms):

$\overline{){{\mathbf{v}}}_{\mathbf{r}\mathbf{m}\mathbf{s}}{\mathbf{=}}\sqrt{\frac{\mathbf{3}\mathbf{R}\mathbf{T}}{\mathbf{M}}}}$

There are two important isotopes of uranium: ^{235}U and ^{238 }U. These isotopes have different atomic masses and react differently. Only ^{235}U is very useful is nuclear reactions. One of the techniques for separating then (gas diffusion) is based on the different rms speeds of uranium hexafluoride gas, UF_{6}.

The molecular masses for UF_{6} with ^{235}U and UF_{6} with ^{238}U are 349.0 g/mol and 352.0 g/mol, respectively. What is the ratio of rms speeds?

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