$($i$)1500kg{h}^{-1}$ of a $18\%($by mass$)$ solution of isopropyl alcohol in water is being distilled to produce a distillate containing $93\%$ isopropyl alcohol and $7\%$ water.. If $75kg{h}^{-1}$ isopropyl alcohol is lost in the bottom residue, calculate the flow rate of the distillate and the bottoms as well as the composition of the bottoms.

$($ii$)$ Part of the by$-$product from a processing plant is a stream containing $53\%H_{3}P{O}_4,22\%C_2{H}_4{O}_2$ and $25\%H_{2}O$ by mass. It is required to concentrate this acid to produce one containing $61\%H_{3}P{O}_4$ and $29\%C_2{H}_4{O}_2$ by adding concentrated phosphoric acid containing $95\%H_{3}P{O}_4$ and concentrated acetic acid containing $91\%C_2{H}_4{O}_2..$ If the mass flow rate of the by$-$product acid steam is $130kg{h}^{-1},$ calculate the mass flow rates of the concentrated acid streams and the total flow rate of the final acid mixture.

$(15$ marks$)$

Mid Term $2022$