A piston cylinder device $($see figure$)$ is initially filled with $2\mathrm{.}0$ kg of liquid $R-134$a and $0\mathrm{.}25$ kg of R$-134$a vapor in equilibrium at $-10C($state $1).$ Heat is transferred to the system causing the piston to rise until it reaches a set of stops at which point the volume is $0\mathrm{.}1m^3($state $2).$ Additional heat is transferred until the R$134$a is at $600$ kPa $($state $3).$

$($a$)$ What is the quality at state $1?(10$ points$)$

$($b$)$ What is the temperature of the R$134$A when it first touches the stops? $(10$ points$)$

$($c$)$ Show the process in a PV diagram with respect to saturation lines $(10$ points$).$

$($d$)$ Calculate the boundary work done by the R$-134$a$.(10$ points$)$

$($e$)$ Calculate the heat transferred to the R$-134$a$.(10$ points$)$

If you need to interpolate to find a value, you can use the closest value in the table and state that you would have interpolated.