$(50$ pts$.)$ Please write a material balance problem for a multiple$-$unit process without reaction involving three

components and solve for all unknowns. This system must have a recycle stream and a flow diagram with one of the

stream configurations shown below. The process should have a total of exactly $10$ independent material balances

when added up for all the individual subsystems $($remember the overall process counts as a subsystem$).$ In your

problem statement, you should include values for at least one mass flow rate, one mass fraction, and a process

specification that relates the mass flow rate of one stream to the mass flow rate of another stream. The process

should make physical sense, e$.$g$.,$ no accumulation in the recycle stream; any evaporating component$($s$)$ should have

the lowest boiling point$($s$)$; any condensing component$($s$)$ should have the highest boiling point$($s$)$; etc.

Please ask questions A$-$E $($or more$)$ to help the "student" solve for all variables in the problem $($i$.$e$.,$ all mass fractions

and total mass flow rates for each stream should be determined$).$ The questions should be ordered so that values

obtained by solving earlier parts $($e$.$g$.,$ A$,$ B$)$ help with later parts $($e$.$g$.,$ C$,$ D$,$ E$.).$ A completely labeled flow diagram

should be part of the solution. Streams should be labeled in mass flow rates and mass fractions. As part of the

solution and prior to solving for unknowns, a DOF analysis should be performed on each subsystem by completing a

table in the format shown below. All subsystems should be included in the table. The solution should state the order

in which the unknowns will be solved based on the DOFs of the subsystems.

Example:

Both a typed $($or handwritten$)$ solution and an Excel summary should be provided for the problem. The typed $($or

handwritten$)$ solution should include a list of all $10$ material balances as written based on the flow diagram before

beginning to solve, followed by the appropriate solutions steps. The template and instructions for the Excel

summary are on pg$.2.$

Options for components: $($choose $3$ from one of the lists below$)$

Nitrogen $(N_2),$ Oxygen $(O_2),$ Argon $($Ar$),$ Carbon Dioxide $(C{O}_2)$

Methane $(C{H}_4),$ Hydrogen $(H_2),$ Ethane $(C_2{H}_6),$ Oxygen $(O_2),$ Propane $(C_3{H}_8),$ Carbon Dioxide $(C{O}_2)$

Helium $($He$),$ Neon $($Ne$),$ Argon $($Ar$),$ Krypton $($Kr$),$ Xenon $($Xe$),$ Radon $($Rn$)$

Hydrogen $(H_2),$ Nitrogen $(N_2),$ Carbon Dioxide $(C{O}_2),$ Water $(H_{2}O),$ Carbon Disulfide $(C{S}_2),$ Acetone $(C_3{H}_{6}O)$