As shown in the figure below, $0\mathrm{.}13$ kg of water is contained within a piston$-$cylinder assembly at

$100C.$ The piston is free to move smoothly in the cylinder. The local atmospheric pressure and

acceleration of gravity are $100$ kPa and $9\mathrm{.}81\frac{m}{s^2},$ respectively. For the water, determine

$($a$)$ The phase of water

$(10$ marks$)$

$($b$)$ Pressure, in kPa.

$($c$)$ Volume, in $c{m}^3.$