Problem #$1$: $(60$ pts$.)$

A piston$-$cylinder device comains $1\mathrm{.}6$ kg of $H_{2}O$ at $160C,1$MPa and undergoes the following processes in series:

Process $1-2$: A Constant pressure Process until its Volume is $0\mathrm{.}30m^3$

Process $2-3$: A polytropic process where the pressure reaches $0\mathrm{.}5$ MPa $.$ and the volume reaches $0\mathrm{.}6799m^3$

Delermine:

a$)$ Complete the Property table below $(18$ points$)$

b$)$ Sketch the process on a $P-v$ and $T-v$ diagrams with respect to the saturation dome. $(12$ points$)$

c$)$ The total amount of heat transfer per unit mass. $(15$ points$)$

d$)$ The total work per unit mass. $(15$ points$)$

$-10)$

$-6$

Friction between the piston and the cylinder wall, Kinetic and potential energy effects are negligible.