Q$1$: A piston$-$cylinder device has $2$ sets of stops as shown in the figure. Initially, the cylinder contains saturated vapor at $350$ kPa and the piston rests on the lower stops $($state $1).$ To move the piston a pressure of $500$ kPa is needed $($state $2).$ Heat is added till the piston hits the upper stops where the specific volume is $0\mathrm{.}71095m\frac{3}{k}g($state $3).$ More heat is added till the pressure inside the cylinder is $700$ kPa $($state $4).$ Draw the Pv diagram with respect to the saturation line and determine

$($a$)$ The initial temperature and the temperature at state $3$

$($b$)$ The work done in kJ

$($c$)$ The heat added.