Q$\mathrm{.}2.$ A distillation column is to be designed to separate a mixture of acetone water having a maximum

feed rate of $15000k\frac{g}{h}.$ The feed contains $4\%$ acetone and the top product contains $95\%$ acetone by

weight. The bottom product is essentially water. Consider the turndown ratio as $75\%,$ no of real trays

$18,$ the slope of enriching section operating line as $0\mathrm{.}6,$ and, the slope of rectifing section operating

line as $4\mathrm{.}5.$ Estimate the following considering a single$-$pass cross$-$flow tray pattern. Tray spacing $=600$

$mm,$ hole$/$active area $=0\mathrm{.}08.$

a$)$ Flooding velocity

b$)$ Column diameter $(\{$:$D_c)$

c$)$ Downcomer area $(A_d),$ net area $(A_n),$ active area $(A_a),$ perforated area $(A_0),$ hole area $(A_n),$

d$)$ weir length $(\{$:$I_w),$ weir height $(h_w),$ hole diameter $(h_d),$ and number of holes.

e$)$ Minimum vapor velocity at turn down ratio and for weeping and entrainment

f$)$ Total pressure drops in mm liquid

g$)$ Downcomer liquid backup.

h$)$ Residence time

and comment on your answers wherever required.

Given data:

Base tempt $=100C,$ Top plate tempt $=59C$

Bottom plate: ${}_{}=0\mathrm{.}7k\frac{g}{m^3},{}_l=960k\frac{g}{m^3},{}_L={60}^{*}{10}^{-3}\frac{N}{m}$

Top plate: ${}_v=2\mathrm{.}15k\frac{g}{m^3},{}_L=760k\frac{g}{m^3},{}_L={25}^{*}{10}^{-3}\frac{N}{m}$

${}_l={0\mathrm{.}35}^{*}{10}^{-3}N\frac{s}{m^2},{}_V={10}^{*}{10}^{-6}N\frac{s}{m^2},D_l=4\mathrm{.}8*{10}^{-9}\frac{m^2}{s}$A column is to be designed to separate a mixture of ethylbenzene and styrene. The feed will contain $0\mathrm{.}5$mol fraction styrene, and a styrene purity of $99\mathrm{.}5\%$ is required, with a recovery of $85\%.$ Estimate the number of equilibrium stages required at a reflux ratio of $8.$ Maximum column bottom pressure $0\mathrm{.}20$ bar. Formula$/$Expressions: $$u$$d 'OOL ${(}^{}AA{I}^{}AA)$