Water$(1)+$ hexane$(2)$ and water $+$ benzene $(3)$ are immiscible pairs.

$($a$)$The binary system water $+$ benzene boils at $69\mathrm{.}4C$ and $760mmHg.$ What is

the activity coefficient of benzene in water if the solubility at this point is

$x_B=1\mathrm{.}6E-4.$ To solve the problem use only the above information and

Antoinne's coefficient from Table E$.3.$

$($b$)$ What is the vapor composition at the bubble pressure at room

temperature $(292$K$)$ for a ternary mixture consisting of $1$ mole overall of each

component if the organic layer is assumed to be an ideal solution.

$($c$)$What is the vapor composition at the bubble pressure at room temperature

$(292$K$)$ for a ternary mixture consisting of $1$ mole overall of each component

if the activity coefficients of the organic layer are predicted by UNIFAC

UNIQUAC? $r_{H20}=0\mathrm{.}9200,q_{H20}=1\mathrm{.}4000$;$r_{n-\text{H}\text{e}\text{x}}=4\mathrm{.}4998,q_{n-\text{H}\text{e}\text{x}}=$

$3\mathrm{.}856$;$r_{\text{b}\text{e}\text{n}}=3\mathrm{.}1878,q_{\text{b}\text{e}\text{n}}=2\mathrm{.}4$;$ln{}_{23}=-1\mathrm{.}1078$;$ln{}_{32}=1\mathrm{.}2281$

If you are using UNIFAC, please cite the source of your variables.