Problem $10$: Water at $300C$ expands in a cylinder against a piston until it reaches ambient pressure, $100$ kPa $,$ at which point the water has a quality of $90\%.$ The expansion is reversible and adiabatic.

a$)$ Sketch $P-v$ and $T-s$ diagrams for the process.

b$)$ What was the initial pressure in the cylinder? $20\mathrm{.}596$ar

c$)$ How much specific work is done by the water?

$475\mathrm{.}25k\frac{J}{k}g$