ENED $1120$

Homework $12\mathrm{.}2$: Material Balance

Task $1($of $2)$

A company needs to increase the concentration of solution A such that the original solution goes

from $10\%A$ to a final solution of $30\%A.$ This will be done by evaporating B$.$ The concentrated

solution $($solution with $30\%A)$ sells for $$\frac{100}{L}$ but removing B costs $$\frac{17}{L}.$ If the company has

$1,000L$ of the dilute solution, what is the final volume of the concentrated solution, and how

much profit does the company make selling it$?$

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

completed, scan your work, name your file HW$\_12$p$2\_$Task$1\_$UCusername.pdf$,$ and submit it$.$

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 $C.$

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