**Mole Fraction (X)** relates the moles of each species in a mixture:

$\overline{){\mathit{m}}{\mathit{o}}{\mathit{l}}{\mathit{e}}{\mathbf{}}{\mathit{f}}{\mathit{r}}{\mathit{a}}{\mathit{c}}{\mathit{t}}{\mathit{i}}{\mathit{o}}{\mathit{n}}{\mathbf{}}{\mathbf{\left(}}{\mathit{X}}{\mathbf{\right)}}{\mathbf{=}}\frac{\mathbf{m}\mathbf{o}\mathbf{l}\mathbf{e}\mathbf{}\mathbf{o}\mathbf{f}\mathbf{}\mathbf{component}}{\mathbf{total}\mathbf{}\mathbf{moles}}}$

** Calculate the mole fraction.**

0.0300 mole of CH_{2}Cl_{2}

0.0500 mole of CH_{2}Br_{2}

$\mathbf{mole}\mathbf{}\mathbf{fraction}\mathbf{\left(}\mathbf{X}\mathbf{\right)}\mathbf{=}\frac{\mathbf{mole}\mathbf{}\mathbf{of}\mathbf{}\mathbf{component}}{\mathbf{Total}\mathbf{}\mathbf{mole}}\phantom{\rule{0ex}{0ex}}{\mathbf{X}}_{{\mathbf{CH}}_{\mathbf{2}}{\mathbf{Cl}}_{\mathbf{2}}}\mathbf{=}\frac{\mathbf{mole}\mathbf{}{\mathbf{CH}}_{\mathbf{2}}{\mathbf{Cl}}_{\mathbf{2}}}{\mathbf{mole}\mathbf{}{\mathbf{CH}}_{\mathbf{2}}{\mathbf{Cl}}_{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{\hspace{0.17em}}\mathbf{mole}\mathbf{}{\mathbf{CH}}_{\mathbf{2}}{\mathbf{Br}}_{\mathbf{2}}}\mathbf{}\phantom{\rule{0ex}{0ex}}{\mathbf{X}}_{{\mathbf{CH}}_{\mathbf{2}}{\mathbf{Cl}}_{\mathbf{2}}}\mathbf{=}\frac{\mathbf{0}\mathbf{.}\mathbf{030}\mathbf{}\mathbf{mol}}{\mathbf{0}\mathbf{.}\mathbf{030}\mathbf{}\mathbf{mol}\mathbf{}\mathbf{+}\mathbf{\hspace{0.17em}}\mathbf{0}\mathbf{.}\mathbf{050}\mathbf{}\mathbf{mol}}\mathbf{}\phantom{\rule{0ex}{0ex}}{\mathbf{X}}_{{\mathbf{CH}}_{\mathbf{2}}{\mathbf{Cl}}_{\mathbf{2}}}\mathbf{=}\frac{\mathbf{0}\mathbf{.}\mathbf{030}\mathbf{}\overline{)\mathbf{mol}}}{\mathbf{\hspace{0.17em}}\mathbf{0}\mathbf{.}\mathbf{080}\mathbf{}\overline{)\mathbf{mol}}}\mathbf{}$

*X _{CH2Cl2} = 0.375*

A solution is prepared by mixing 0.0300 mole of CH_{2}Cl_{2} and 0.0500 mole of CH_{2}Br_{2} at 25°C. Assuming the solution is ideal, calculate the composition of the vapor (in terms of mole fractions) at 25°C. At 25°C, the vapor pressures of pure CH_{2}Cl_{2} and pure CH_{2}Br_{2} are 133 and 11.4 torr, respectively.

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Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.