$(34$ points$)1\mathrm{.}00$ kg of $R-134$a saturated vapor at

$-20C$ is compressed to a pressure of $1000$ kPa in a

closed, perfectly insulated piston$-$cylinder. The final

volume is $20\mathrm{.}08\%$ of the initial volume. Calculate

a$.$ The final temperature of the R$-134$a $[$in $\{$:$C]$

b$.$ The magnitude of the work done $($and direction $-"$on$"$ or $"$by$"$ the R$-134$a$)$ in the compression

process $[$in kJ$]$