$7.$ Answer the following based on the T$-$v diagram of the water system in Figure $1.$

$($a$)$ State the phase of water at the initial state $($state $1).$

$($b$)$ Give the temperature of water at state $1.$

$($c$)$ Name the process that brings the system to state $2($process $\backslash (1\backslash$rightarrow $2\backslash )).$

$($d$)$ State the phase of water at state $2.$

$($e$)$ Determine the quality of water at state $2.$

$($f$)$ State the phase of water at state $3.$

$($g$)$ Name the process $\backslash (2\backslash$rightarrow $3\backslash ).$

$($h$)$ Determine the water's pressure $($in MPa $)$ at the final state $($state $3).$

$($i$)$ Calculate the quality of the system at the initial state $($state $1)$