$(50$ points$)$ Nitrogen gas is passed through an equimolar liquid mixture of benzene and toluene at $3$atm$(2280mmHg)$ and $80C.$ The flowrate of nitrogen is $0\mathrm{.}45$mol$\frac{e}{m}in.$ The gas leaving the vessel is saturated with respect to all components of the liquid.

a$)10$ points. Draw and properly label a diagram of the process.

b$)20$ points. What is the composition of the gas leaving the vessel very soon after the start of the nitrogen flow $($but after equilibrium is attained$)?$

c$)5$ points. What is the flowrate of benzene gas leaving the vessel very soon after the start of the nitrogen flow $($but after equilibrium is attained$).$

d$)5$ points. At some point, the mole fractions of the benzene in the liquid will drop to $x_B=0\mathrm{.}28.$ What is the gas composition leaving the vessel at that condition?