$[15$ pts$]$ Consider a tank with volume $V$ of $1\mathrm{.}8m^3$ with steam $($water in liquid and vapor

mixture$)$ at temperature of $220C.$ If one$-$third $(\frac{1}{3})$ of the volume is in the liquid phase and

the other two$-$third $(\frac{2}{3})$ of the volume is in the vapor phase. Determine the following values

$($a$)$ the pressure $p$ of the steam mixture

$($b$)$ the quality $x$ of the steam mixture

$($c$)$ the density $$ of the steam mixture