$3\mathrm{.}76$ As shown in Fig. P$3\mathrm{.}76,$ a piston$-$cylinder assembly fitted with stops contains $0\mathrm{.}1$ kg of water, initially at $1$MPa,$500C.$ The water undergoes two processes in series:

Process $1-2$: Constant$-$pressure cooling until the piston face rests against the stops. The volume occupied by the water is then one$-$half its initial volume.

Process $2-3$: With the piston face resting against the stops, the water cools to $25C.$

Sketch the two processes in series on a $p-v$ diagram. Neglecting kinetic and potential energy effects, evaluate for each process the work and heat transfer, each in kJ $.$