Refer to the attached Pxy diagram for vapor$/$liquid equilibrium for chloroform$(1)/$tetrahydrofuran$(2)$ at $50C.$ Respond to the following questions with a few short sentences and some simple calculations. Feel free to draw on the graph to prove your answer.

$($a$)$ On the plot, identify which line is the bubble line and which line is the dew line.

$($b$)$ The pressure of a mixture of chloroform and tetrahydrofuran at $50C$ is measured to be $62$kPa. What are the possible compositions of the liquid and vapor phases?

$($c$)$ Consider a mixture with $x_1=0\mathrm{.}80,$ initially at $50C$ and $70$kPa. Describe the evolution of phases and phase compositions as the pressure is gradually red to $50$kPa.

$($d$)$ What is the composition of the azeotrope for the system?

$($e$)$ Consider a closed vessel initially containing $1$mol of tetrahydrofuran at $52$kPa. Imagine that pure chloroform is slowly added at constant tem and pressure until the vessel contains $1$mol tetrahydrofuran and $9m$ chloroform. Describe the evolution of phases and phase compositi this process. Comment on the practical feasibility of carrying outs What sort of device would be required?