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

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?