S$($c$)\_13$: Steam enters the first turbine stage of a $3-$stage Rankine Cycle at $18$ MPa and $\backslash (700^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and the condenser persusere is $70$ kPa $.$ Oee closed feedwater heater operates at $6$ MPa and one open feedwater heater operates at $2$ MPa followed by reheat at $2$ MPa to $\backslash (540^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$ Condensate from the closed foedwater heater is trapped into the open foodwater heater and the foodwater leaves at $18$ MPa with a temperature equal to the saturation temperiture at the eatraction presware. Each turbine stage has an isentropic efficiency of $\backslash (92\backslash \%\backslash )$ and each pump has an isentropic efficiency of $\backslash (87\backslash \%\backslash ).$

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|$c$|$c$|$c$|\}$

$\backslash$hline & $\backslash$begin$\{$tabular$\}\{$l$\}$

Mass $\backslash \backslash$

Fraction

$\backslash$end$\{$tabular$\}$ & p kPa & Temperature $(*\backslash (\backslash$left$.\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash$right$)\backslash )$ AND state & $\backslash$begin$\{$tabular$\}\{$l$\}$

h $\backslash \backslash$

kI$/$kg

$\backslash$end$\{$tabular$\}$ & $\backslash [$

$\backslash$mathrm$\{$k$\}\_\{\backslash$mathrm$\{$L$\}/\backslash$mathrm$\{$kg$\}\backslash$cdot $\backslash$mathrm$\{$~K$\}\}^\{\backslash$mathrm$\{$s$\}\}$

$\backslash ]\backslash \backslash$

$\backslash$hline $1$ & I & & & & $\backslash \backslash$

$\backslash$hline $2$ & & & Superheated $/507$ & $3438\mathrm{.}90$ & $690137\backslash \backslash$

$\backslash$hline $3$ & & & Superheated$/3473$ & $3130\mathrm{.}73$ & $6\mathrm{.}9451\backslash \backslash$

$\backslash$hline $4$ & & & & & $\backslash \backslash$

$\backslash$hline $5$ & & & & & $\backslash \backslash$

$\backslash$hline $6$ & & & saturatod liquid$/89\mathrm{.}95$ & $376\mathrm{.}70$ & $1\mathrm{.}1919\backslash \backslash$

$\backslash$hline $7$ & & & Compressed Liquid $/$ N$/$A & $379\mathrm{.}0$ & N$/$A $\backslash \backslash$

$\backslash$hline $8$ & & & & & $\backslash \backslash$

$\backslash$hline $9$ & & & Compressed Lixpud $/$ N$/$A & & N$/$A $\backslash \backslash$

$\backslash$hline $10$ & & & & & $\backslash \backslash$

$\backslash$hline $11$ & & & Saturated Liquid$/275\mathrm{.}6$ & & $\backslash \backslash$

$\backslash$hline $12$ & & & & & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Caloulate y:

Calculatey':

$\backslash$begin$\{$tabular$\}\{|$c$|$c$|$c$|\}$

$\backslash$hline Proces & & Heat Trusfer$($s$)/8)\backslash \backslash$

$\backslash$hline $1\mathrm{.}2$ & hi $\backslash (-12=142\mathrm{.}6\backslash )$ & $0\backslash \backslash$

$\backslash$hline $\backslash (2\backslash$cdot $3\backslash )$ & & $\backslash \backslash$

$\backslash$hline $34$ & & $\backslash \backslash$

$\backslash$hline $4\mathrm{.}5$ & & $\backslash \backslash$

$\backslash$hline $5\mathrm{.}6$ & & $\backslash \backslash$

$\backslash$hline $\backslash (6-7\backslash )$ & & $\backslash \backslash$

$\backslash$hline $788$ & & $\backslash \backslash$

$\backslash$hline $89$ & & $\backslash \backslash$

$\backslash$hline $\backslash (9-10\backslash )$ & & $\backslash \backslash$

$\backslash$hline $\backslash (10-1\backslash )$ & $6$ & $\backslash ($ h$\_\{$i n$\}-$h$\_\{0\}0=260928\backslash )\backslash \backslash$

$\backslash$hline Nat Cyde & $1206\mathrm{.}34$ & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

Culculate Thernal Efficiscy: