$(31\%),$ Refrigerant $134$ a enters an adiabatic compressor operating at steady state as a saturated vapor at $-10F$ and exits at a pressure of $200$ psia. The compressor efficiency is $71\mathrm{.}9\%.$ Determine:

a$)(12$ pts$)$ The work input in $Bt\frac{u}{b_m}$ of refrigerant

b$)(5$ pts$)$ The exit temperature $(($:$F$