Mccabe$-$Theele Methoel:

$(1)$

A plate column equpped wilt a total condenser. and a kettle type reboler is used to separate $100$kmo$\frac{l}{h}$ of a bengene$-$toluene solution containg $50mo\%$ benyene into a destullate product contairing $45$mof$\%$ bengene and a bottom product vaporined and is one$-$therd vapour and two$-$therds bquid. Delermine. the following.

a$)$ The minumum number of plates graphically and analyically using an ang $$ of $2\mathrm{.}39.$

b$)$ The munumum reflure ratio.

$($c$)$ The number of plates. if the op$.$ ture. reflox valio is $30\%$ in encess of the menimom

$($d$)$ The food plate localtuon.

$($a$)$ The number of plates if the overall stajee efficiency is $75\%$

b$)$ The equibrowm dala for bemene$-$tolliane syslem at $101\mathrm{.}3$kPa.

$x,0,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}3,0\mathrm{.}4,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}7$

$y,0,0\mathrm{.}205,0\mathrm{.}369,0\mathrm{.}502,0\mathrm{.}618,0\mathrm{.}706,0\mathrm{.}789,0\mathrm{.}849$

$x,0\mathrm{.}8,0\mathrm{.}9,0\mathrm{.}95,1\mathrm{.}0,$

$y,0\mathrm{.}907,0\mathrm{.}955,0\mathrm{.}978,1\mathrm{.}0,$