In the calculation of the mixture composition of methane$-$air combustion, mass flow rate of methane $(C{H}_4)$ is $0\mathrm{.}1\frac{g}{s}$ and mass flow rate of air is $10\frac{g}{s}.$ Calculate the unburned compositions of $C{O}_2$ and $H_{2}O$ in terms of mole fraction. $($The burned gas mass fraction is $0\mathrm{.}45)$