Question $1(15$ Marks$)$

One mole per hour of a liquid solution containing $60$ mole $\%$ benzene and the remainder toluene enters a flash column. The liquid product stream contains $47$mole$\%$ benzene and the vapor product stream contains $69$ mole $\%$ benzene. The temperature of both output stream is at $93C.$ Assume that the operation is adiabatic.

Useful information:

$C_{p\text{b}\text{e}\text{n}\text{z}(l)}=0\mathrm{.}1265k\frac{J}{\text{m}\text{o}\text{l}*C}$;$C_{p\text{b}\text{e}\text{n}\text{z}(v)}=0\mathrm{.}07406k\frac{J}{\text{m}\text{o}\text{l}*C}$;

$T_{b\text{b}\text{e}\text{n}\text{z}}=80\mathrm{.}1C$;$H_{v\text{b}\text{e}\text{n}\text{z}}($@$80\mathrm{.}1C)=30\mathrm{.}765k\frac{J}{m}ol$

$C_{p\text{t}\text{o}\text{l}(l)}=0\mathrm{.}1488k\frac{J}{\text{m}\text{o}\text{l}*C}$;$C_{p\text{t}\text{o}\text{l}(v)}=0\mathrm{.}09418k\frac{J}{\text{m}\text{o}\text{l}*C}$;

$T_{b\text{t}\text{o}\text{l}}=110\mathrm{.}62C$;$H_{v\text{t}\text{o}\text{l}}($@$110\mathrm{.}62C)=33\mathrm{.}47k\frac{J}{m}ol$

a$)$ Draw and label the process flow diagram completely. Calculate the liquid and vapor mole fractions of the outlet streams.

$(2$ Marks$)(CO\frac{2}{P}O\frac{2}{C}3)$

b$)$ Construct an inlet$-$outlet enthalpy table from the process described above. State the basis and the reference states.

$(4$ Marks$)(CO\frac{2}{P}O\frac{2}{C}2)$

c$)$ Calculate the specific enthalpy $(k\frac{J}{m}ol)$ for the outlet streams.

$(6$ Marks$)(CO\frac{2}{P}O\frac{2}{C}3)$

d$)$ Determine the temperature $(C)$ of the input stream that enters the flash column.

$(3$ Marks$)$

$(CO\frac{2}{P}O\frac{2}{C}3)$