$7.(20$ points$)$ Steam enters a turbine operating at steady state at $\backslash (1\backslash$mathrm$\{$MPa$\},220^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and exits at $40\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ with a quality of $\backslash (80\backslash \%\backslash ).$ Stray heat transfer, kinetic and potential energy effects are negligible. Determine:

$($a$)$ Power developed by the turbine, in kJ per kg of steam flowing.

$($b$)$ Change in specific entropy from inlet to exit, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$K$\}\backslash )$ per kg of steam flowing.