PROBLEM $2$

Liquid$-$Liquid Extraction

If you cant do it please dont accept this problem! It has all pf the info needed to solve here

You are designing a liquid$-$liquid extraction column to extract ethylene glycol from water using furfural as a solvent. The feed to the column is $30$mol$\%$ ethylene glycol $/70$mol$\%$ water $(100$ kmo$\frac{l}{h})$ and the solvent is pure furfural $(100$kmo$\frac{l}{h}.$ Liquid$-$liquid equilibrium data for the water$-$ethylene glycol$-$furfural system has been provided $($calculated using ASPEN properties, NRTL method, at $20C,1$atm $).$ Please perform the following steps to model the column.

Plot the phase envelope on a ternary plot.

Plot the extract and raffinate compositions for an extract specified to have $18$mol$\%$ ethylene glycol.

Find the number of theoretical equilibrium stages required for this separation.

Model this system using Aspen. For the unit operations $($block$)$ choose the Extract block $($located under the "Columns" tab$).$ Note that the heavier component should enter the top of the column and the lighter component the bottom of the column $($if these are switched, the simulation will not converge$).$ Use the NRTL property method. What is the $\%$ error between the specification for the extract composition $($given in part $2)$ and the extract composition given by Aspen? Does the stage$-$by$-$stage calculation in Aspen agree with your graphical calculation?

$\backslash$table$[[,$Furfural$-$Rich Phase,Water$-$Rich Phase,$],[$Tie Line#$,\backslash$table$[[$Mole Fraction$],[$Water$]],\backslash$table$[[$Mole Fraction$],[$Ethylene Glycol$]],\backslash$table$[[$Mole Fraction$],[$Furfural$]],\backslash$table$[[$Mole Fraction$],[$Water$]],\backslash$table$[[$Mole Fraction$],[$Ethylene Glycol$]],\backslash$table$[[$Mole Fraction$],[$Furfural$]]],[1,0\mathrm{.}057621,0,0\mathrm{.}9423789,0\mathrm{.}972262,0,0\mathrm{.}027738],[2,0\mathrm{.}0691783,0\mathrm{.}0242945,0\mathrm{.}9065271,0\mathrm{.}9399472,0\mathrm{.}0252505,0\mathrm{.}0348022],[3,0\mathrm{.}0829729,0\mathrm{.}0489598,0\mathrm{.}8680672,0\mathrm{.}9065606,0\mathrm{.}0501279,0\mathrm{.}0433114],[4,0\mathrm{.}0995101,0\mathrm{.}0739637,0\mathrm{.}8265261,0\mathrm{.}8717288,0\mathrm{.}0746783,0\mathrm{.}0535928],[5,0\mathrm{.}1194723,0\mathrm{.}0992619,0\mathrm{.}7812658,0\mathrm{.}8349382,0\mathrm{.}0989547,0\mathrm{.}066107],[6,0\mathrm{.}1438268,0\mathrm{.}1247886,0\mathrm{.}7313846,0\mathrm{.}7954316,0\mathrm{.}123024,0\mathrm{.}0815443],[7,0\mathrm{.}1740477,0\mathrm{.}15044,0\mathrm{.}6755123,0\mathrm{.}7519881,0\mathrm{.}1469808,0\mathrm{.}1010311],[8,0\mathrm{.}2126652,0\mathrm{.}176042,0\mathrm{.}6112929,0\mathrm{.}7023743,0\mathrm{.}170975,0\mathrm{.}1266507],[9,0\mathrm{.}2650734,0\mathrm{.}2012682,0\mathrm{.}5336585,0\mathrm{.}6415271,0\mathrm{.}1952888,0\mathrm{.}1631841],[10,0\mathrm{.}3510364,0\mathrm{.}2252414,0\mathrm{.}4237222,0\mathrm{.}5500206,0\mathrm{.}2207286,0\mathrm{.}2292508]]$