Clealry explain each process for full credit:

A $0\mathrm{.}2$ m$^3$ insulated tank A containing $3$ kg water at ambient temperature $(20$ degress celsius$)$ is connected by a valve to an uninsulated piston$-$cylinder device B that is initially evacuated $($i$.$e$.$ mB$=0$ at state $1).$ The tank contains an electrical resistance heater $($that is originally turned off$),$ and the mass of the piston is such that it requires a pressure of $1$ MPa to displace it$.$ The volume below the piston in cylinder $0\mathrm{.}001$ m$^3$ at the initial condition. With the valve closed, the electrical heater is turned on until all of the water in A has vaporized $($state $2-$ saturated vapor$).$ The valve is then opened, and steam is slowly allowed to flow until the pressure in A and B equalize, at which point the valve is closed $($state $3).$ During this process, there is sufficient heat transfer between B and the environment to maintain the temperature inside B at ambient conditions. $($Helpful Hints: Assume the piston moves and assume reversible adiabatic expansion for A from State $2$ to $3)$

a$)$ Sketch the process path for Process $($Tank$)$ A ONLY on a T$-$s diagram with

Determine:

b$)$ the temperature $($K$)$ and pressure $($Kpa$)$ in A at the end of the heating process,

c$)$ the mass transferred from A to B $($kg$),$

d$)$ the work done on the piston $($KJ$)$

e$)$ the heat transfer $($KJ$)$ from B $,$ and

f$)$ the entropy generated $($KJ$/$K$)$