Mutual solubility data for the isooctane $(1)/$furfural $(2)$ system at $25C$ are

Compute:

a$)$ The distribution coefficients for isooctane and furfural

b$)$ The relative selectivity for isooctane relative to furfural

c$)$ The activity coefficient of isooctane in liquid phase $1$ and the activity coefficient of

furfural in liquid phase II assuming

$\{$:${}_2^{(1)})=1\mathrm{.}0$ and ${}^{(2)}$

The feed to Column $C3$ in Figure $1\mathrm{.}8$ is given in Table $1\mathrm{.}5.$ The separation is to be altered

to produce a distillate of $96$mol$\%$ pure isobutane with a recovery $($SF$)$ in the distillate

of $95\%.$ Because of the sharp separation in Column $C3$ between $iC4$ and $nC4,$ assume

all propane goes to the distillate and all $C5\text{'}$s go to the bottoms.

a$)$ Compute the flow rates in $1$bmo$\frac{l}{h}$ of each component in each of the two products

leaving Column $C3.$

b$)$ What is the percent purity of the n$-$butane bottoms product?

c$)$ If the isobutane purity in the distillate is fixed at $96\%,$ what $\%$ recovery of isobutane in

the distillate will maximize the $\%$ purity of normal butane in the bottoms product?

Table $15$