Problem $2$: $(10$ marks$)$

A $2000-$liter rigid tank contains water at $250C.$ One$-$quarter of the volume is in the liquid phase and the

rest is in the vapor form. Determine:

$($a$)$ the pressure, $($b$)$ the quality of the saturated mixture, $($c$)$ the density of the mixture.

Then heat is transferred to the water until the entire liquid is vaporized.

$($d$)$ What is the final temperature and pressure? $($e$)$ Determine the total internal energy change in kJ$.$

$($f$)$ Show the process on T$-$v$,$ P$-$v and P$-$T diagrams with respect to the saturation lines.