During the distillation process, the input flow rate is $1000mo\frac{l}{h}$ containing $30\%$ ethanol, $40\%$

water, and $30\%$ ethylene glycol. There are three output streams: $1^{st}$ output stream contains $70\%$

ethanol and $30\%$ water; $2^{nd}$ output stream contains $20\%$ ethanol and $40\%$ water; $3^{rd}$ output stream

contains $5\%$ ethanol and $50\%$ water. Solve the material balance using both MatLab and Python

and calculate the flow rates for all three output streams.

a$)$ Draw and label the PFD from the information given above, highlighting all the unknown

variables. $($You should define each variable first, e$.$g$.n_i$ represents $....)$

b$)$ Perform a degree$-$of$-$freedom analysis.

c$)$ Write codes in both MatLab and Python to solve a system of equations and calculate all the

unknown variables $($i$.$e$.,$ molar flow rates in all three outputs$).$

d$)$ Draw a final PFD$,$ with all the flow rates labeled, and all calculated information clearly shown

on a single diagram.

e$)$ Perform a final mass balance check on the overall system to prove that mass is conserved.

$[$write the balance equation$]$

$2$ Computational Guidelines

Your codes in both MatLab and Python should contain discrete sections and comments so that

anyone reading the code can understand what each line$/$section does.

Your codes should contain equations for all possible balances, then output all the required.

Can some write the correct code for matlab and python for this problem