Q$6.[26$ Pts$]$ Consider a Carnot cycle of steam engine that includes a thermodynamic process from saturated water vapor at $\backslash (100^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and saturated liquid water at $\backslash (200^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$

$($a$)$ Draw this cycle in a $\backslash ($ T$-$s $\backslash )$ diagram. Label the coordinates of each state and include the saturation lines. $[5$ Pts$]$

$($b$)$ What are the thermodynamic states $\backslash (($x$,$ P$,$ T$,$ v$)\backslash )$ of all four states in this cycle? $[6$ Pts$]$

$($c$)$ Draw this process in a $\backslash ($ P$-$v $\backslash )$ diagram. Scale does not have to be precise. $[2$ Pts$]$

$($d$)$ How much net specific heat does the water receive from the surroundings per one cycle? $[3$ Pts$]$

$($e$)$ What is the area under the loop in the $\backslash ($ P $\backslash )-\backslash ($ v $\backslash )$ diagram? $[2$ Pts$]$

$($f$)$ Let's say the adiabatic turbine responsible for the water expansion $\backslash$& temperature drop becomes irreversible $($still adiabatic$).$ If the water temperature after the turbine $($and before the heat removal$)$ is $\backslash (150^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ how much extra specific entropy does this turbine generate? Assume the pressure during the heat removal from water remains the same and ignore pressure differences within $\backslash (\backslash$pm $2\backslash \%\backslash ).[3$ Pts$]$

$($g$)$ Continuing from $($f$),$ what is the efficiency of the new turbine compared to an adiabatically reversible turbine? Ignore the kinetic and potential energy of water in this process. $[3$ Pts$]$

$($h$)$ Continuing from $($f$),$ does the new turbine add irreversibility in other processes in the cycle? $($Yes$/$No$)$ Explain. $[2$ Pts$]$