$2.$ A piston$-$cylinder system contains $0\mathrm{.}6$ kg of water vapor at $200\backslash$deg C and $0\mathrm{.}5$ MPa pressure. The system is cooled until the amount of water vapor condenses.

a$.$ Show the phase change of the system on the temperature$-$specific volume $($T$-$v$)$ diagram. Indicate all the data related to the question on the diagram $($including your escapes from the saturated water or superheated water vapor tables$).$

Show both states on the diagram.

B$.$ Find the temperature at the final state.

C$.$ Calculate the change in volume.