A $0\mathrm{.}005$ m$^3$ tank is initially empty then filled with steam from a supply line at $500$ kPa $,200$C$.$ The tank is filled slowly so the final state is measured to be $200$C $,500$ kPa.$$

A$)$ Determine the final mass in the tank.$$

B$)$ What is the amount of heat transfer out $($Qout$)?$

C$)$ If the tank is instead filled very, very rapidly, what would be the temperature for the final state?