$\frac{{\mathbf{rate}}_{\mathbf{1}}}{{\mathbf{rate}}_{\mathbf{2}}}\mathbf{=}\sqrt{\frac{{\mathbf{MM}}_{\mathbf{2}}}{{\mathbf{MM}}_{\mathbf{1}}}}\phantom{\rule{0ex}{0ex}}\frac{{\mathbf{rate}}_{{}^{\mathbf{235}}\mathbf{U}}}{{\mathbf{rate}}_{{}^{\mathbf{238}}\mathbf{U}}}\mathbf{=}\sqrt{\frac{{\mathbf{MM}}_{{}_{{}^{\mathbf{238}}\mathbf{U}}}}{{\mathbf{MM}}_{{}_{{}^{\mathbf{235}}\mathbf{U}}}}}\phantom{\rule{0ex}{0ex}}\frac{{\mathbf{rate}}_{{}^{\mathbf{235}}\mathbf{U}}}{{\mathbf{rate}}_{{}^{\mathbf{238}}\mathbf{U}}}\mathbf{=}\sqrt{\frac{\mathbf{238}}{\mathbf{235}}}$

As discussed in the “Chemistry Put to Work” box in Section 10.8 in the textbook, enriched uranium can be produced by effusion of gaseous UF_{6} across a porous membrane. Suppose a process were developed to allow effusion of gaseous uranium atoms, U(g).

Compare the ratio of effusion rates for ^{235}U and ^{238}U to the ratio for UF_{6} given in the essay in the textbook.

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