$5)(40$ points$)$ Determine the thermal efficiency and net power output of an ideal combined cycle power plant, using property data for air in the top cycle and steam properties for the bottom cycle. In the top cycle, air enters the compressor at $300$ K at a rate of $\backslash (300\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ and is heated to $1200$ K in the combustion chamber. The top cycle has a pressure ratio of $12.$ The steam in the bottom cycle is heated to $\backslash (400^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at $8$ MPa in a heat exchanger, and after leaving the turbine is condensed at $10$ kPa $.$ The combustion gases leave the heat exchanger at $400$ K $.$ Assume that all compression stages have an isentropic efficiency of $\backslash (75\backslash \%\backslash )$ and expansion processes are isentropic$.$

a$.$ Draw a T vs S diagram with all the stages of the process.

b$.$ Sketch the flow diagram of the CCP plant.