A pressurized liquid stream of $40$mole$\%$ acetone in acetic acid flowing at $150$mol$\frac{e}{m}in$ is to be

upgraded by removing some acetone in a flash drum operating at $1100mmHg$ and $100C.$

a$)$ Determine the equilibrium acetone vapor and liquid compositions from dew$-$ and bubble$-$point

calculations.

b$)$ Using appropriate balances on the flash drum, find the liquid and vapor exit flowrates. What is the

purity of the main acetic acid stream, and what is the fractional recovery of acetone in the waste

stream?

c$)$ What is the relative volatility ratio $(=$ Psat,acetone $/$Psat$,$acetic acid $)$ at this temperature?

d$)$ What change in flash drum operating conditions would improve its performance? $($Address both $P$

and $T$ in your answer.$)$

for acetone, sat $,$ in $\{$:$mmHg]=7\mathrm{.}02447-\frac{1161\mathrm{.}0}{T+224\mathrm{.}0}$

for acetic acid, sat $,$ in $\{$:$mmHg]=7\mathrm{.}38782-\frac{1533\mathrm{.}313}{T+222\mathrm{.}3}$A pressurized liquid stream of $40$mole$\%$ acetone in acetic acid flowing at $150$mol$\frac{e}{m}in$ is to be

upgraded by removing some acetone in a flash drum operating at $1100mmHg$ and $100C.$

a$)$ Determine the equilibrium acetone vapor and liquid compositions from dew$-$ and bubble$-$point

calculations.

b$)$ Using appropriate balances on the flash drum, find the liquid and vapor exit flowrates. What is the

purity of the main acetic acid stream, and what is the fractional recovery of acetone in the waste

stream?

c$)$ What is the relative volatility ratio $(=$ Psat,acetone $/$Psat$,$acetic acid $)$ at this temperature?

d$)$ What change in flash drum operating conditions would improve its performance? $($Address both $P$

and $T$ in your answer.$)$

for acetone, sat $,$ in $\{$:$mmHg]=7\mathrm{.}02447-\frac{1161\mathrm{.}0}{T+224\mathrm{.}0}$

for acetic acid, sat $,$ in $\{$:$mmHg]=7\mathrm{.}38782-\frac{1533\mathrm{.}313}{T+222\mathrm{.}3}$At a plant that manufactures styrene, the reactor is run at $1\mathrm{.}2$atm and $400C.$ The outlet of the reactor

contains $50$ mol$\%H_2,20$ mol$\%$ ethylbenzne $(C_8{H}_{10}),$ and $30$ mol$\%$ styrene $(C_8{H}_8).$ The reactor outlet is

cooled and partially condensed, and the vapor and liquid are separated into vapor and liquid streams in

an equilibrium flash drum. The hydrogen$-$rich vapor stream must contain no more than $0\mathrm{.}2$mol$\%$

styrene?

a$)$ State any assumptions you make.

b$)$ Show that the reactor outlet stream should be cooled to $($approximately$)12\mathrm{.}4C$ to achieve this

separation.

c$)$ What is the liquid stream composition?