$3.(2\mathrm{.}5$points$)$ A Rankine cycle with water superheats to $\backslash (500^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at $3$ MPa in the boiler and the condenser operates at $\backslash (100^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ All components are ideal except the turbine which has an exit state measured to be saturated vapor at $\backslash (100^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

$3\mathrm{.}1(0\mathrm{.}2$ point$)$ For the given value, draw the ideal case and actual case on a T$-$s diagram.

$3\mathrm{.}2(1\mathrm{.}3$ points$)$ Detrermin the temperature, pressure and enthalpy at each point

$3\mathrm{.}3(0\mathrm{.}2$ points$)$ Determine the quality$(\backslash ($ x $\backslash ))$ of ideal status after ideal turbine.

$3\mathrm{.}4(0\mathrm{.}2$ points$)$ Find the specific work for the ideal turbine

$3\mathrm{.}5(0\mathrm{.}2$ points$)$ Find the specific work for the actual turbine.

$3\mathrm{.}6(0\mathrm{.}2$ points$)$ Find the ideal cycle efficiency

$3\mathrm{.}7(0\mathrm{.}2$ points$)$ Find the actual cycle efficiency