#$3[25$ pts$]$

A wastewater stream flows at $50$kmo$\frac{l}{h}r$ at $20C$ and $1$atm and contains $10\mathrm{.}0$mole$\%$ acetone in water. Acetone is to be extracted from this stream with pure chlorobenzene $(C_6{H}_{5}Cl).$ It is desired to reduce the acetone concentration in the raffinate down to $0\mathrm{.}5$mol$\%$ with an existing $6$ equilibrium stage lq$-$lq extraction tower operating at $20C$ and $1$atm. Assume a partition coefficient $($K$-$value$)$ of $7\mathrm{.}5($solutefree coordinates$).$

a$)$ Draw a process flow diagram for the system. $[6$ pts$]$

b$)$ What liquid flow rate must be utilized to achieve the desired separation with the existing column $(6$ equilibrium stages$)?[6$ pts$]$

c$)$ Acetone has a density of $784k\frac{g}{m^3}$ and chlorobenzene of $1110k\frac{g}{m^3},$ which component would be fed to the top of the column? Explain your reasoning. $[6$ pts$]$

d$)$ How would adding an agitator$/$reciprocator to the column affect performance? Explain your reasoning. $[6$ pts$]$