Problem $5($to be graded$)$:

Consider a $250$ MW steam power plant operating on the ideal Rankine cycle. Steam enters the turbine at $15$ MPa and $\backslash (600^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )($State $1)$ and exits the condenser as saturated liquid $($State $3)$ at a pressure of $15$ kPa $.$

$($a$)$ Determine the quality of steam at the exit of the turbine.

$($b$)$ Calculate the mass flow rate $\backslash ((\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$s$\})\backslash )$ of steam.

$($c$)$ Find thermal efficiency $(\backslash \%)$ of the cycle.

Now consider that both the turbine and pump of the power plant have isentropic efficiency of $\backslash (80\backslash \%\backslash ).$

$($d$)$ Determine the quality of steam at the exit of the turbine.

$($e$)$ Calculate the mass flow rate $\backslash ((\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$s$\})\backslash )$ of steam.

$($f$)$ Find thermal efficiency $(\backslash \%)$ of the cycle.

$($g$)$ Show the actual and ideal cycle on T$-$s diagram. Label states, indicate appropriate lines of constant pressure, and show property values.

Answers: $($a$)0\mathrm{.}814$; $($b$)$ Not attached; $($c$)42\mathrm{.}4\backslash \%$; $($d$)0\mathrm{.}934$; $($e$)\backslash (147\mathrm{.}0\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$; $($f$)$ Not attached; $($g$)$ Not attached