A liquid mixture contains $60\mathrm{.}0$ wt$\%$ ethanol $($E$),5\mathrm{.}0$ wt$\%$ of a dissolved solute $($S$),$ and thebalance water. A stream of this mixture is fed to a continuous distillation column operatingat steady state. Product streams emerge at the top and bottom of the column. The columndesign calls for the product streams to have equal mass flow rates and for the top stream tocontain $90\mathrm{.}0$ wt$\%$ ethanol and no Solute. Calculate $($i$)$ the mass fraction of S in the bottomstream and $($ii$)$ the fraction of the ethanol in the feed that leaves in the bottom productstream $($i$.$e$.,$ kg E in bottom stream$/$kg E in feed$)$ if the process operates as designed