Problem $5-2.$ Consider an ideal reheat$-$regenerative Rankine cycle with one open feedwater

heater. The boiler pressure is $12$ MPa $,$ the condenser pressure is $10$ kPa $,$ the reheater pressure

is $1$ MPa $,$ and the feedwater pressure is $0\mathrm{.}5$ MPa $.$ Steam enters the high$-$pressure turbine at

$500\backslash$deg C and $12$ MPa and expands to $1$ MPa $.$ Then it is reheated to $500\backslash$deg C$.$ The steam expands in

the second$-$stage turbine to $0\mathrm{.}5$ MPa where a fraction is extracted into the feedwater heater and

the remainder expands in the third$-$stage turbine to the condenser pressure of $10$ kPa $.$ Show the

cycle on a T$-$ s diagram with respect to saturation lines, and determine and determine: $($a$)$ the

fraction of steam extracted for regeneration, $($b$)$ the thermal efficiency of the cycle and $($c$)$ The

rate of exergy destroyed per unit mass for the cycle assuming that the temperatures of the

source and the sink are T$\_($H$)=600\backslash$deg C and T$\_($L$)=25\backslash$deg C$.$ Problem $5-2.$ Consider an ideal reheat$-$regenerative Rankine cycle with one open feedwater heater. The boiler pressure is $12$ MPa $,$ the condenser pressure is $10$ kPa $,$ the reheater pressure is $1$ MPa $,$ and the feedwater pressure is $0\mathrm{.}5$ MPa $.$ Steam enters the high$-$pressure turbine at $\backslash (500^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $12$ MPa and expands to $1$ MPa $.$ Then it is reheated to $\backslash (500^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ The steam expands in the second$-$stage turbine to $0\mathrm{.}5$ MPa where a fraction is extracted into the feedwater heater and the remainder expands in the third$-$stage turbine to the condenser pressure of $10$ kPa $.$ Show the cycle on a T$-$ s diagram with respect to saturation lines, and determine and determine: $($a$)$ the fraction of steam extracted for regeneration, $($b$)$ the thermal efficiency of the cycle and $($c$)$ The rate of exergy destroyed per unit mass for the cycle assuming that the temperatures of the source and the sink are $\backslash (\backslash$mathrm$\{$T$\}\_\{\backslash$mathrm$\{$H$\}\}=600^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and $\backslash (\backslash$mathrm$\{$T$\}\_\{\backslash$mathrm$\{$L$\}\}=25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$