Hello, please help me solve this exercise while clearly explaining how each step was found so I can prepare for my exam. You might need thermodynamic tables for water!

A piston$-$cylinder assembly containing $100$ g of water. Initially, the piston, having a surface of $0\mathrm{.}2$ m$^2,$ is $1$ m from the position of the spring $($the spring not being attached to the piston$).$ Water is in a two$-$phase liquid$-$vapor state with a titer of $0\mathrm{.}8$ and a pressure of $100$ kPa. The system is then heated until a final pressure of $200$ kPa is obtained.

Answer the following questions by completing a table of thermodynamic states. $($Table should contain: state, temperature, pressure, mass, specific volume, volume, x for composition$).$

a$)$ What is the temperature of the system when the piston reaches the spring?

b$)$ What is the displacement of the spring $($k$=1000$ kN$/$m$)$ when the system has reached the final pressure of $200$ kPa?

$($Hint: You can hypothesize that the mass of the piston is negligible when establishing a force balance$).$

c$)$ What is the final temperature of the system?

d$)$ Represent these state evolutions on a P$-$v projection.

e$)$ Evaluate the total work interaction associated with this process.