Question #$3(25$ points$)$

Time allowed: $2\mathrm{.}5$ hr

Calculate the fugacity of ethanod $(hat(f{)}_{\text{e}\text{t}\text{h}\text{a}\text{n}\text{o}\text{l}}^2)$ in a liquid mixture af $60014$ and $1$ bar pressure when the liquid composition on a mole basis is known to be: $30\%$ ethanol, $20\%1-$propanol, and $50\%$ water. bar celwits $x_3$

The Wilson parameters at $60C(333\mathrm{.}15K)$ for mixture of ethanol $(1).1-$propanol $(2),$ and water $(3)$ are:

${}_{12}=1\mathrm{.}216,{}_{13}=0\mathrm{.}203$

${}_{21}=0\mathrm{.}617,{}_{31}=0\mathrm{.}838$

$0\mathrm{.}048$

$0\mathrm{.}612$

Antoine's equation constant $)=ar,T=(C$