A flash drum operating $50$kPa is to separate feed $=F$ of solution of benzene and toluene containing equimolar toluene $)=z=(0\mathrm{.}5$ into vapor $(V)$ and liquid $(L)$ streams. The composition of Benzene and Toluene in bottoms $($Liquid$)$ is $0\mathrm{.}3$ and $0\mathrm{.}7$ respectively. The vapor pressure of both mponents can be described using the Antoine$-$equation:

$lo{g}_{10}P(mmHg)=A-\frac{B}{T(C)+C}$

with for benzene: $A=7\mathrm{.}4787,B=1701,C=294$

and for toluene: $A=7\mathrm{.}4195,B=1738,C=273\mathrm{.}5$

a$)$ What is the equilibrium temperature of the flash drum?

b$)$ Calculate the saturation pressures of Benzene and Toluene

c$)$ Calculate the distribution coefficient and relative volatility

d$)$ Build xy diagram at the temperature of the drum?

e$)$ Draw the operating line and find the intersection of operating and equilibrium lines

f$)$ What is the purity of the vapor stream?

g$)$ What is q value and what are the flow rates of the top and

bottom streams?