Please help with part b$)$

Refrigerant$-134$a is throttled from the saturated liquid state at $800$ kPa to a pressure of $100$ kPa.

$($a$)$ Generate a profile for the temperature drop as a function of pressure$-$drop for this process using the every data points $($between $100$ kPa to $800$ kPa$)$ available in Table A$-12.$

This answer is shown below the Table.

$($b$)$ Prove that $.[$Hint: in this case $1$ and $2$ indicate initial and final state. Fluid phase in the final state may be a mixed phase fluid$/$