Question $2$

$(10$ points$)$

A stream of water vapour at $8$ MPa and $753$ K expands through a turbine to $700$ kPa with a quality of $0\mathrm{.}9895.$ The fluid is then heated to $713$ K in a piston$-$cylinder assembly. The stream of water is then expands through another turbine to $8000$ Pa with a quality of $0\mathrm{.}9382.$

a$)$ Determine the pressure, temperature and enthalpy for states $(1),(2),(3)$ and $(4).$

$(4$ points$)$

b$)$ Find $\backslash (\{\}\_\{1\}$ w$\_\{2\},\{\}\_\{3\}$ w$\_\{4\}\backslash )$ and $\backslash ($ q$\_\{$i n$\}\backslash ).$

$(6$ points$)$