A system is initially charged with \(4 \mathrm{~mol}\) ethylene and \(3 \mathrm{~mol}\) oxygen, and the following reaction occurs between the species:

\[ \begin{aligned} \mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{~g})+\mathrm{O}_{2}(\mathrm{~g}) & \rightarrow 2\left[\left(\mathrm{CH}_{2}\right) \mathrm{O}\right](\mathrm{g}) \\ \mathrm{C}_{2} \mathrm{H}_{4}(\mathrm{~g})+3 \mathrm{O}_{2}(\mathrm{~g}) & \rightarrow 2 \mathrm{CO}_{2}(\mathrm{~g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) \end{aligned} \]

Express the composition of the mixture in terms of mole fraction as a function of reaction coordinate.