D$1.*$ We are separating a mixture of methanol and water in a flash drum at $1\mathrm{.}0$atm pressure. Equilibrium data are listed in Table $2-7.$

a$.$ Feed is $60\mathrm{.}0$ mol$\%$ methanol, and $40\mathrm{.}0\%$ of the feed is vaporized. What are the vapor and liquid mole fractions and flow rates? Feed rate is $100$kmo$\frac{l}{h}.$

b$.$ Repeat part a for a feed rate of $1500\mathrm{.}0$kmo$\frac{l}{h}.$

c$.$ If the feed is $30\mathrm{.}0$ mol$\%$ methanol and we desire a liquid product that is $20\mathrm{.}0$ mol$\%$ methanol, what V$/$F must be used? For a feed rate of $1000\mathrm{.}0$lbmo$\frac{l}{h},$ find product flow rates and compositions.

d$.$ We are operating the flash drum so that the liquid mole fraction is $45\mathrm{.}0$mol$\%$ methanol. $L=1500\mathrm{.}0$kmo$\frac{l}{h},$ and $\frac{V}{F}=0\mathrm{.}2.$ What must the flow rate and composition of the feed be$?$

e$.$ Find the dimensions of a vertical flash drum for Problem $2.$D$1$c$.$

Data: $w=1\mathrm{.}00\frac{g}{c}m3,m,L=0\mathrm{.}7914\frac{g}{c}m3,MWw=18\mathrm{.}01,MWm=32\mathrm{.}04.$ Assume vapors are ideal gas.

f$.$ If $z=0\mathrm{.}4,p=1\mathrm{.}0$atm, and Tdrum $=77C,$ find $\frac{V}{F},xm,$ and $ym.$

g$.$ If $F=50\mathrm{.}0mo\frac{l}{h},z=0\mathrm{.}8,p=1\mathrm{.}0$atm, and $ym=0\mathrm{.}892$ mole fraction methanol, find $V,L,$ and $xm.$

$\backslash$table$[[$Methanol Liquid,Methanol Vapor,Temp., $C,],[0,0,100,],[2\mathrm{.}0,13\mathrm{.}4,96\mathrm{.}4,],[4\mathrm{.}0,23\mathrm{.}0,93\mathrm{.}5,],[6\mathrm{.}0,30\mathrm{.}4,91\mathrm{.}2,],[8\mathrm{.}0,36\mathrm{.}5,89\mathrm{.}3,],[10\mathrm{.}0,41\mathrm{.}8,87\mathrm{.}7,],[15\mathrm{.}0,51\mathrm{.}7,84\mathrm{.}4,],[20\mathrm{.}0,57\mathrm{.}9,81\mathrm{.}7,],[30\mathrm{.}0,66\mathrm{.}5,78\mathrm{.}0,],[40\mathrm{.}0,72\mathrm{.}9,75\mathrm{.}3,],[50\mathrm{.}0,77\mathrm{.}9,73\mathrm{.}1,],[60\mathrm{.}0,82\mathrm{.}5,71\mathrm{.}2,],[70\mathrm{.}0,87\mathrm{.}0,69\mathrm{.}3,],[80\mathrm{.}0,91\mathrm{.}5,67\mathrm{.}6,],[90\mathrm{.}0,95\mathrm{.}8,66\mathrm{.}0,],[95\mathrm{.}0,97\mathrm{.}9,65\mathrm{.}0,$TABLE $2-7.$ Vapor$-$liquid equilibrium data$],[100\mathrm{.}0,100\mathrm{.}0,64\mathrm{.}5,$for methanol water $(p=1$atm