P$2.$ Determine the $\backslash (\backslash$mathrm$\{$Y$\},\backslash$mathrm$\{$Y$\}\backslash ).$ the work$/$unit mass compressed, work$/$unit mass liquefied for the: $($i$)$Simple and $($ii$)$Precooled Linde $-$ Hampson systems, with Nitrogen as working fluid. The R$134$A is the refrigerant for the precooling system with ratio r as $0\mathrm{.}08.$ The liquefaction system is operated between $1\mathrm{.}013$ bar $(1$ atm $)$ and $\backslash (101\mathrm{.}3\backslash$mathrm$\{$bar$\}(100\backslash$mathrm$\{$~atm$\})\backslash )$ at $300$ K $.$ The following is the data for R$134$a$.$

The property values for Nitrogen and R$134$A can be calculated using the free program $($miniREFPROP$)$ or any other source online $($please mention the source in your solution$)$

Instructions to use miniREFPROP:

Select substance$>$pure fluid $\backslash (>$R $134\backslash )$ A$/$N$2$; Calculate$>$specified state points$/$saturation points

Input two parameters like pressure and temperature for specified state point and one parameter like pressure for saturation points HW$\backslash$#$5$

Pre$-$cooled Linde$-$Hampson Cycle Layout