$1\mathrm{.}1.$ Vapor$-$liquid equilibrium data for mixtures of carbon dioxide $(1)$ and n$-$butane $(2)$ at $0C$ are given in Table $1.$a$.$

a$.$ Prepare $P-x-y$ and $x-y$ diagrams and label the regions and curves. Use paper or computerbased plotting tools. Do not draw free$-$hand.

b$.$ You are tasked with separating a single phase mixture containing $95$mol$\%$ carbon dioxide at $0C$ and $1\mathrm{.}5$atm. Is this initial mixture in vapor or liquid phase?

c$.$ When this mixture is compressed, what is the pressure at which the two$-$phase system is first created? What is the composition of the liquid and vapor phase?

d$.$ At an applied pressure of $30$atm, what is the vapor liquid composition? Report the corresponding $K-$values for carbon dioxide and $n-$butane.

e$.$ What fraction of the feed leaves the separation unit in liquid phase?

$\backslash$table$[[P(atm),x_1,y_1$