$3\mathrm{.}2$ Analysis of a binary, multi$-$stage distillation column results in the following equations for the operating lines:

Top operating line:

$y_n=0\mathrm{.}64x_{n+1}+0\mathrm{.}29$

Bottom operating line:

$y_{m-1}=1\mathrm{.}9x_m-0\mathrm{.}01$

The component molar flowrate of more volatile component in the bottom product stream is $0\mathrm{.}7mo\frac{l}{s}$ and the feed molar flowrate is $60mo\frac{l}{s}$

B $MVC$

Determine the following:

a$.$ The reflux ratio

b$.$ The mole fraction of the more volatile component in the distillate

c$.$ The molar flowrates of liquid and vapour in the stripping section of the column

d$.$ The mole fraction of the more volatile components in the feed

e$.$ The molar flowratess of the liquid and vapour in the rectifying section of the column.

f$.$ The coordinates if the intersection of the operating lines.

g$.$ The quality of the feed.