#$2$ A rigid well$-$insulated tank having a volume of $0\mathrm{.}2m^3$ is filled initially with Refrigerant $134$a vapor at a pressure of $10$ bar and a temperature of $40C.$ A leak develops and refrigerant slowly escapes until the pressure within the tank becomes $1$ bar. Determine

$($a$)$ the final temperature of the refrigerant within the tank, in $C.$ Hint: treat the slow leak as a reversible process

$($b$)$ the amount of mass that exits the tank, in kg$.$