$2.$ Water at $100$C$,$ x $=0\mathrm{.}25$ is contained in a cylinder piston device. The water is to be brought to a final state of $300$C and $400$ KPa following the process below.

State $1)$ the initial state

State $2)$ reached after the water is compressed isothermally to a pressure of $1$ MPa$$

State $3)$ reached after heat is added isobarically until the temperature reaches $300$C

State $4)$ reached after the piston is adiabatically expanded in a reversible manner until the final pressure of $400$ kPa

Determine:

For each state of the process, $6$ intensive properties $($including given in the problem statement$)$ which define the state of the system and the phase $($with quality if it is a saturated liquid$-$vapor mixture$)$ of the system.

The heat and work exchanged between the system and the environment in the process between stages with directions

Sketch a P$-$v diagram of the process $($include the vapor$/$liquid dome and all constant temperature lines$).$