Task $2($of $2)$

A and $B$ are fed into a reactor to produce $C$ using the chemical formula below.

$2A+3B2C$

This means that $2$mol of A and $3$mol of $B$ react together to make $2$mol of $C.$ This reaction is only $60\%$ efficient $($i$.$e$.$ if you add $10$mol of $A,$ only $6$mol will turn into C$).$

M

$14$

The inlet feed $(M_1)$ has only A and $B$ and has a ratio of $3$mol of $B$ for every $2$mol of $A.$ After the reaction, the product is fed to a distillation column to try and remove as much A and $B$ as possible. If the distillation column sends out $100mo\frac{l}{h}$ of $C$ which is $96\%$ of the total amount in $M_3($the remainder being $2\%$ of A and $2\%$ of $B),$ find the flow rates of $M_1,M_2,$ and $M_4$ as well as the concentration of $A,B,$ and $C$ in each flow. $M_4$ contains no $C.$

Hint: you cannot set the rate $M_1$ equal to the rate $M_2$ in the reactor, as the nature of the reaction does not result in the same rate flowing in as is flowing out, since $5$mols of the reactants A and $B$ are used to produce only $2$mols of the product $C.$ However, the overall number of mols $($or