In this problem model the working fluid as a pertect gas of specitic heat capacity at constant pressure $\backslash (\backslash$mathrm$\{$Cp$\}=1,150\backslash )\backslash (\backslash$mathrm$\{$J$\}/\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$K$\}\backslash )$ and specific gas constant R$=287\backslash (\backslash$mathrm$\{$J$\}/\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$K$\}\backslash ).$ The expander of a gas turbine engine has pressure ratio $20,$ and isentropic efficiency $0\mathrm{.}89.$ At the inlet stagnation conditions are $1500$ K and $2026$ kPa $.$

$($a$)$ Draw the block diagram for the turbine expander

$($b$)$ Draw the T$-$S diagram.

$($c$)$ Evaluate expander specific power in M $\backslash (\backslash$mathrm$\{$J$\}/\backslash$mathrm$\{$kg$\}\backslash )($mass flow rate $\backslash (1\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ and isentropic efficiency is $0\mathrm{.}89).$

$($d$)$ Evaluate the specific entropy generated by irreversibility in the expansion process.