A sealed $40-m^3$ tank with perfectly insulated exterior contains $0\mathrm{.}02m^3$ of liquid water at $50C$ and $39\mathrm{.}98m^3$ of water vapor at the same temperature. The tank will be used to store exhaust process steam, which enters $($through a valve$)$ at $)$ and with $90\%$ quality $($meaning the steam is $90\%$ vapor by mass and $10\%$ liquid$).$ The tank$-$filling process ends when the pressure in the tank is $1\mathrm{.}013$ bar and the valve is closed. Assume there is no heat transfer between the contents of the tank and the tank walls. How much process steam enters the tank during the filling process? How much liquid water is in the tank at the end of the process? $($ANS: $23\mathrm{.}3kg,22\mathrm{.}5kg$