Q$1.(30$ marks$)$

The $P-x-y$ diagram of $CHC{l}_3($component$-1)/$THF $($component$-2)$ at $50C$ is shown below:

a$.$ The pressure above a mixture of $CHC{l}_3$ and $THF$ is $62000Pa.$ What are the possible combinations of the liquid and vapor phases for this mixture? $(2$ marks$)$

b$.$ The pressure above a mixture of $CHC{l}_3$ and $THF$ is $52000Pa.$ What are the possible combinations of the liquid and vapor phases for this mixture? $(3$ marks$)$

c$.$ Consider a chloroform$/$THF mixture with $x_1=0\mathrm{.}8$ initially at $50C$ and $70$kPa. Describe the evolution of the phases and phase compositions as the pressure is gradually reduced to $50$kPa. $(5$ marks$)$

d$.$ Consider a chloroform$/$THF mixture with $x_1=0\mathrm{.}9$ initially at $50C$ and $50$kPa. Describe the evolution of the phases and phase compositions as the pressure is gradually increased to $70$kPa. $(5$ marks$)$

e$.$ Is there an azeotrope formed for this mixture? If yes, at what composition? What is the nature of boiling of this azeotrope? $(5$ marks$)$

f$.$ Consider a closed vessel initially containing $1$mol of THF at $50C$ and $52$kPa. Pure chloroform is slowly added at constant $T$ and $P$ until the vessel contains $1$mol THF

and $9molCHC{l}_3.$ Describe the evolution of the phases and phase compositions during this process. $(10$ marks$)$