Problem $3(35$ Points$)$ stesalily conters the taink from a supply line through a pripe with a value. When the pressure in the tank reaches $3$ bar, the valve is closed. At this point, the last drop of liquid water in the tank vaporizes, and the tank contains only saturatod vapor water. The sotal volume of the bank is $0\mathrm{.}35\backslash (\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$ Determine:

ASSUMPTIONS:

$(5$yrt$)($a$)$ Origiral mass of water in tank $($state $1)$

$(159$t$)($b$)$ Mass of steam that enters tank

$(1594)($c$)$ Heat trinsfer that takes place befween the tank and the sarroundinge$-$