$13.$ This piston$-$cylinder device initially contains $0\mathrm{.}05$ m$3$ of saturated liquid water at $30$ oC$.$ The spring is set such that the pressure of the water must be $100$ kPa before the piston will move from the stops. Also, when the total water volume is $0\mathrm{.}2$ m$3,$ the pressure will be $1$ MPa. Heat is now added to the water at a rate of $5$ kW until the total water volume is $0\mathrm{.}2$ m$3$

A$.$ What is the final temperature of the water?

B$.$ What is the mass of the water contained in this device?

C$.$ How much work is done by the water?

D$.$ How much heat is required to complete this process?

E$.$ What is the entropy change of the water?