Q$3)$

A Hiquid mixture at its bubble point is fed to a distillation column operating at $1$atm. $100$ kgmo$\frac{l}{h}r$ of the feed, composed of $75$mol$\%$ water and $25\%$ acetic acid, is distilled continuously where the distillate and bottom products contain $95$ mol$\%$ and $5$ mol $\%$ of water, respectively, The reflux ratio is twice the minimum reflux ratio,

i$-$ Using the equilibrium data in Table Q$2,$ apply McCabe Thicle method to determine the number of the theoretical stages.

$|30$ marks$|$

ii$-$ If the reboiler is designed to evaporate $338\mathrm{.}5$kmo$\frac{l}{h}r$ of $13$mol$\%$water, calculate the steam requirement in the re$-$boiler at a working pressure of $0\mathrm{.}4$Mpa.

$[10$ marks$]$

iii$-$ If $338\mathrm{.}5$kmo$\frac{l}{h}r$ vapor is reaching the top condenser, calculate the cooling water requirement for the condenser if $T_{\text{c}\text{o}\text{u}\text{d}\text{i}\text{n}\text{g}\text{v}\text{a}\text{n}\text{e}}=20C.$

$[10$ marks$]$

Table Q$3$

$\backslash$table$[[x,0\mathrm{.}00,0\mathrm{.}0055,0\mathrm{.}053,0\mathrm{.}125,0\mathrm{.}206,0\mathrm{.}297,0\mathrm{.}51,0\mathrm{.}649,0\mathrm{.}803,0\mathrm{.}9594,1\mathrm{.}00],[y,0\mathrm{.}00,0\mathrm{.}0112,0\mathrm{.}133,0\mathrm{.}24,0\mathrm{.}338,0\mathrm{.}437,0\mathrm{.}63,0\mathrm{.}751,0\mathrm{.}866,0\mathrm{.}9725,1\mathrm{.}00]]$

Data:

$MW-18k\frac{g}{k}$gmol,$MW$ mor $au=60\mathrm{.}5k\frac{g}{k}$gmol

Cpran $4$ ini$\frac{J}{k}gK$

Solution: