A liquid mixture leaving a hydroformylation reactor contains $50\mathrm{.}0$ wt $\%$

nonanaldehyde $($A$),10\mathrm{.}0$ wt $\%$ of $1-$octene $($B$),$ and balance toluene $($T$).$ A stream of this reaction

mixture is continuously fed into a distillation column operating at steady state. Product streams

leave the top and the bottom of the distillation column. The column design calls for the following:

$($I$)$ The mass flowrate of the top stream $($vapor$)$ is twice that of the bottom stream

$($liquid$).$

$($II$)$ The top stream $($vapor$)$ contains $10\mathrm{.}0wt\%$A and $70\mathrm{.}0wt\%B.$

a$.(13$ pts$)$ Draw and completely label a flowchart of this process $($you do not need to

include the reactor in your flowchart$).$ Use complete units and standard nomenclature,

show all variables on the flowchart, and write the given information in terms of relevant

variables beside the flowchart. Note: Flowrates are in units of $k\frac{g}{s}.$

b$.(7$ pts$)$ Do the degree$-$of$-$freedom $($DOF$)$ analysis on the labeled flowchart from part $($a$).$

Specify the unknown variables and type of equations used when doing DOF analysis. DO

NOT write the complete equations.

c$.(2$ pts$)$ Based on the DOF analysis of part $($b$),$ can the requested variables be calculated?

If No$,$ what information would need to be provided $($or assumed$)$ to be able to solve for

the requested variables?

d$.(9$ pts$)$ Assuming an input feed rate of $100k\frac{g}{s},$ write the equations you would solve to

calculate unknown process variables. DO NOT perform any calculations.

e$.(4$ pts$)$ Using the labeled flowchart in part $($a$)$ and an input feed rate of $100k\frac{g}{s},$ write an

expression for the ratio of $A$ in the bottom stream $($liquid$)$ leaving the distillation column

to the amount of A in the input feed stream. DO NOT perform any calculations.