A simplified process for the production of $S{O}_3$ to be used in the manufacture of sulfuric acid is illustrated in Figure SAT$5\mathrm{.}2$P$2.$ Sulfur is burned with $100\%$ excess air in the burner, but for the reaction $S+O_{2}S{O}_2,$ only $90\%$ conversion of the $S$ to $S{O}_2$ is achieved in the burner. In the converter, the conversion of $S{O}_2$ to $S{O}_3$ is $95\%$ complete. Calculate the kilograms of air required per $100kg$ of sulfur burned, and the concentrations of the components in the exit gas from the burner and from the converter in mole fractions.