Problem $2.(50$ pts $)$ A combined cycle is formed by a gas turbine toping cycle and an organic Rankine bottoming cycle as shown. Steady$-$state operating data are labeled on the figure. Owing to internal irreversibilities, the generator electricity output is $95\%$ of the input shaft power. The regenerator preheats air entering the combustor. In the evaporator, hot exhaust gas from the regenerator vaporizes the bottoming cycle working fluid which is assumed to be Refrigerant $134$a$.$ Conduct the following parametric studies for greatest net power output and combined$-$cycle thermal efficiency

a$)$ Assuming the turbine exit pressure $p_9$ is $1$ bar, specify workable ranges for turbine inlet pressure, $p_8,$ and temperature $T_8.$

b$)$ Investigate the influence of varying the compressor pressure ratio, turbine inlet pressure, $p_8,$ and turbine inlet temperature $T_8$ on the net power output and on combined$-$cycle thermal efficiency,

c$)$ Identify the bottoming cycle operating conditions with greatest net power output and repeat for greatest combined$-$cycle thermal efficiency.

Note: Apply engineering modeling compatible with that used in the course for Rankine cycles and airstandard analysis of gas turbines. Present your analyses, results, and recommendations in a clear summary report.

This is a design problem. You will receive more partial credit on your approach, methodology and completeness of the analysis.