$*$Please use the correct data$*$ A gas turbine, which uses air as the working fluid, is designed with a regenerator. The air enters the compressor at $100$kPa and T$1$C$.$ The compressor ratio is $9$ and the maximum cycle temperature is $900$C at point $4.$ The air flow leaving the regenerator at $6$ is $11$C cooler than the hot air flow at the regenerator inlet at point $5.$ Considering that the compressor has an efficiency of $0\mathrm{.}75$ and the turbine of $0\mathrm{.}77,$ additionally the cycle produces a net power of $140$ kW$,$ calculate what is requested, considering the development of a detailed and commented calculation sample. A$)$ The powers in kW of the compressor and turbine, the added heat.

B$)$ The effectiveness of the regenerator and the efficiency of the cycle.

C$)$ If the pressure ratio were doubled, what would be the previous results.

D$)$ How the efficiency of the cycle could be improved, perform the analysis and corresponding calculations that support the results.