Problem #$2$:

Consider R$-134$a at $500$ kPa $(5$ bar$)$ and $80$ Celsius expanding in a polytropic manner $($it is not and ideal gas, but a superheated vapor can still go through a polytropic process$),$ in which $n=1\mathrm{.}4,$ to a final pressure of $200$ kPa $(2$ bar $).$

Determine the final specific volume

Determine the final temperature

Determine the work per mass

Determine the heat per mass

Draw the process on a P $-$v diagram

Draw the process on a T$-$v diagram