In the pharmaceutical industry, distillation is

utilized to exchange solvents in preparation for isolation of

an active ingredient or intermediate. You are tasked with

solvent swapping an active ingredient from $1-$Isobutanol

$(1-$IBA$)$ to Tetrahydrofuran $($THF$).$ All of the active

ingredient stays in the vapor phase and thus can be ignored

in your analysis. Prior to entering the distillation column,

$325mo\frac{l}{h}$ of $1-$ IBA and the active ingredient in the vapor

phase is mixed with $175mo\frac{l}{h}$ of THF vapor to create a

vapor feed of $500mo\frac{l}{h}$ of a $35$mol$\%$ THF and $65$mol$\%$

$1-$IBA at $3$ bar and $410K.$ This is fed to the $5$ th tray of an

$8-$tray distillation column equipped with a total condenser

and a partial reboiler at $3$ bar. The total condenser produces

a saturated liquid. The bottoms fraction $(\frac{B}{F})$ is $0\mathrm{.}70$ and

the reflux ratio $(\frac{L_0}{D})$ is $7\mathrm{.}0.$ EMO can be assumed.

Assume this mixture behaves ideally. Antoine's Constants

are given for $lo{g}_{10}$ in bar and $K.$

$A,B,C$

THF $4\mathrm{.}121181202\mathrm{.}942-46\mathrm{.}818$

$1-$IBA $4\mathrm{.}400621260\mathrm{.}453-92\mathrm{.}588$

a$.$ Draw a process flow diagram

b$.$ Use a guess of $x_{DTHF}=0\mathrm{.}94,$ solve for all unknowns

for the Total Condenser and Stage $1($Include a degree

of freedom analysis for Total Condenser and Stage $1)$