A binary mixture containing component A and component $B$ is to be separated by using a single$-$stage flash drum. Vapor$-$liquid equilibrium data at $1$atm for the A$-$B system are provided in the

$T-y-x$ and $y-x$ plots in Figure $1$ and $2,$ respectively. Use these data to answer the questions below.

a$)$ If the mixture contains $40$mol$\%$A and is heated to $86C,$ what fraction of the system remains in the liquid phase?

b$)$ A new mixture containing $35\%A$ is heated until the system is $60\%$ vaporized. What are the resulting compositions of vapor and liquid?You can use either $T-y-x$ or $y-x$ plots to answer this question. Please specify the figure you used.

c$)$ When the mixture compositions are above $95$mol$\%A,$ which component is more volatile? A or B$?$ Please justify your answer

d$)$ What is the composition of azeotrope in this system? Is the azeotrope in this system minimum boiling or maximum boiling?