$3\mathrm{.}3$: Using Property Tables for Processes $($II$)$

A piston$-$cylinder assembly contains $m=0\mathrm{.}1kg$ of Refrigerant $134$a$.$ The refrigerant expands from an initial

state where $p_1=400$kPa and $T_1=10C$ to a final state where $p_2=80$kPa. During the process, the pressure

and specific volume are related by $p{v}^2=$ constant.

a$)$ Sketch the process from the initial to end states on a $P-v$ curve with a generic "saturation dome". Don't

worry about the exact shape of the process line, but be clear with putting the initial and final states

where they belong relative to the "dome".

b$)$ Determine the work and heat transferred for the process $($magnitude and direction$),$ in kJ$.$