A well$-$insulated $100-$gallon storage tank contains one gallon of liquid water at $90$ F$).$ The vapor space contains only water vapor $($i$.$e$.,$ the vapor and liquid are at equilibrium at $90$ F$.$ Wet steam at $1$ atm with a quality of $94\%$ is added to the tank until the pressure reach $1$ atm.

How many pounds of steam will enter the tank, and how many pounds of liquid water are present at the completion of the process $?$ Use the steam tables for the properties of water