question_answer

Compare the rates of diffusion of \[^{235}U{{F}_{6}}\]and\[^{238}U{{F}_{6}}\].

Answer:

                Molecular mass of \[^{235}U{{F}_{6}}=235+6\times 19=349\] Molecular mass of \[^{238}U{{F}_{6}}=238\,+6\times 19=352\] \[\therefore \] \[\,\frac{{{r}_{1}}{{(}^{235}}U{{F}_{6}})}{{{r}_{2}}{{(}^{238}}U{{F}_{6}})}=\sqrt{\frac{{{M}_{2}}}{{{M}_{1}}}}\,=\sqrt{\frac{352}{349}}\,=1\cdot 004\] Thus, \[r{{(}^{235}}U{{F}_{6}}):r\,{{(}^{238}}U{{F}_{6}})=1\cdot 004:1\].