A closed, vertical, frictionless piston cylinder devise initially contains $1\mathrm{.}5$ kg of water at $570$ C and $5$ bar.

The piston is free$-$floating in the cylinder. The water is cooled until the it reaches the saturated vapor

state. Determine the following:

a$.$ Initial specific volume of the water

b$.$ Initial $($total$)$ volume of the water

c$.$ Final pressure of the water

d$.$ Final temperature of the water

e$.$ Final $($total$)$ volume

f$.$ Show the process on a T$-$v diagram. Be sure to clearly mark states $1$ and $2,$ lines of constant

pressure, and the $T,P,$ and $v$ values associated with each state.