A distillation column will be used to separate a mixture of components A$,$ B$,$ and C$.$ The

column will separate the components based on volatility into three output streams: $1.$ the top

stream, $2,$ the middle stream, and $3.$ the bottom stream. The feed will enter the distillation

column at a rate of $450mo\frac{l}{s}.$ The top stream only contains components A and $B.$ The

middle and bottom streams contain a mixture of $A,B,$ and $C.$

Mole percents for the feed stream and the top stream are summarized in the following table:

Additionally, the following information is known about the process:

Eighty percent of the $B$ fed to the column exits in the top stream.

The component flow rates of $A$ in the top and middle streams are equal.

The component flow rate of $C$ in the bottom stream is $66$mol$\frac{C}{s}.$

The component flow rate of $B$ in the bottom stream is $10\%$ of the component flow

rate of $C$ in the bottom stream.

a$)$ Draw a complete flowchart and label all known and unknown variables. Perform a degree

of freedom analysis.

Hint: It is recommended that you label the unknowns in the middle and bottom Streams as

component flowrates $($i$.$e$.,$ not as total flowrates and mole fractions$)$

b$)$ Calculate the following component flowrates

B in the top stream and bottom stream $($mols B$/$s$)$

A in the top stream and middle stream $($mols A$/$s$)$

c$)$ Calculate the following component flowrates$-$

$A$ in the bottom stream $($mols $\frac{A}{s})$

$B$ in the middle stream $($mols $\frac{B}{s})$

$C$ in the middle stream $($mols $\frac{C}{s})$