Given below is the equilibrium binary phase diagram of binary compounds, trichloromethane and carbon

tetrachloride, $CHC{l}_3-CC{l}_4$ system $(T$ vs$.$ mole fraction at $1$atm $).$

$($a$)$ What is the solubility of $CC{l}_4$ in $CHC{l}_3$ below $192K?$

$($b$)$ What is the solubility of $CHC{l}_3$ in $CC{l}_4$ below $192K?$

$($c$)$ Label all two$-$phase regions within the phase diagram given.

$($d$)$ Identify all invariant reactions from the phase diagram by noting the $($i$)$ name, $($ii$)$ composition,

$($iii$)$ temperature and $($iv$)$ reaction.

$($e$)$ Draw free energy vs$.$ composition diagrams for each phase at $200K($use blank plot on the right$).$

Make sure to label the important compositions $($e$.$g$.,$ common tangent$)$ in the G vs$.$ composition

diagrams that are related to those in phase diagram.