$2.$ Now, consider a cycle operating with the same pump inlet and turbine inlet.

a$.$ In this cycle, there are $3$ stages of pumping $($compression$)$ and $3$ stages of expansion $($turbines$).$ The intermediate pressures are $1\mathrm{.}6$ and $3$ MPa $.$

b$.$ At the exit of the first turbine stage, lof the mass flow goes to an open feedwater heater that heats the fluid exiting the seonnd pump to a saturated liquid at $3$ MPa $.$ This fuid then enters the third pump.

c$.$ At the exit of the second turbine stage, $\backslash (22\backslash \%\backslash )$ of the mass flow goes to an open feedwater heater that heats the fluid exiting from the first pumping stage to saturated liquid at $1\mathrm{.}6$ MPa $.$

Find the following:

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

$\backslash$hline Work provided to pump $1$ & $\backslash (\backslash$mathrm$\{$k$\}\backslash$cdot $\backslash$mathrm$\{$kgm$\}\backslash )\backslash \backslash$

$\backslash$hline Work provided to pump$2$ & $\backslash (\backslash$mathrm$\{$k$\}\backslash$cdot $\backslash$mathrm$\{$kgR$\}\backslash )\backslash \backslash$

$\backslash$hline Work provided to pump $3$ & $\backslash (\backslash$mathrm$\{$k$\}\backslash$cdot $\backslash$mathrm$\{$k$\}\backslash )$ kg $\backslash \backslash$

$\backslash$hline Work obtained from turbine $1$ & $\backslash (\backslash$mathrm$\{$k$\}\backslash$cdot $\backslash$mathrm$\{$Vkg$\}\backslash )\backslash \backslash$

$\backslash$hline Work obtained from turbine $2$ & $\backslash (\backslash$mathrm$\{$k$\}\backslash$cdot $1\backslash$mathrm$\{$~kg$\}\backslash )\backslash \backslash$

$\backslash$hline Work obtained from turbine $3$ & $\backslash (\backslash$mathrm$\{$k$\}\backslash$cdot $\backslash$mathrm$\{$kgg$\}\backslash )\backslash \backslash$

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

$\backslash$hline Efficiency of the cycle & m $\backslash \backslash$

$\backslash$hline

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

Submit images of your hand work and export your computer calculations to PDF$.$ Put your final values in a table.

Please use the naming convention shown in the figure for the states.

Fall $2024$ ME $212$: Rankine Homework $2.$ Now, consider a cycle operating with the same pump inlet and turbine inlet.

a$.$ In this cycle, there are $3$ stages of pumping $($compression$)$ and $3$ stages of expansion $($turbines$).$ The intermediate pressures are $1\mathrm{.}6$ and $3$ MPa $.$

b$.$ At the exit of the first turbine stage, $\backslash (5\backslash \%\backslash )$ of the mass flow goes to an open feedwater heater that heats the fluid exiting the second pump to a saturated liquid at $3$ MPa $.$ This fluid then enters the third pump.

c$.$ At the exit of the second turbine stage, $\backslash (22\backslash \%\backslash )$ of the mass flow goes to an open feedwater heater that heats the fluid exiting from the first pumping stage to saturated liquid at $1\mathrm{.}6$ MPa $.$

Find the following:

Submit images of your hand work and export your computer calculations to PDF$.$ Put your final values in a table.

Please use the naming convention shown in the figure for the states.