Problem $2\mathrm{.}9$ A piston cylinder is filled with $500$ kg of water at $50$ bar and $400C.$ The water is cooled at constant pressure $($isobaric$)$ until a final temperature of $120C.$ Answer the following. P contery

a$)$ Draw the piston$-$cylinder system. What are the phases of the initial and final conditions?

b$)$ Draw the process on Pv$,$ Tv and PT diagrams.

c$)$ Using an appropriate equation of state, calculate the specific volume $(\frac{m^3}{k}g)$ at the initial condition. And compare it with the value from the thermodynamic property table.

d$)$ Using data from property tables, what is the final volume $(m^3)$ of the system?