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$).$

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

ENED $1120-$ HW $12\mathrm{.}2-$ Spring $2024$

mol$\frac{s}{h}r)$ of A$,$ B$,$ and C will be conserved through each step in the process. To determine the

rates for the reaction portion of the system, look at the number of mols inherent in the reaction

equation and the rate at which $C$ is produced based on the amount of A provided to the system in

order to determine the number of mols of A and $B$ going in and number of $A,B,$ and $C$ coming

out of the reactor.

Solve this problem on Engineering Graph Paper using the Problem Presentation Method.