Problem $\backslash (\{\}^\{$n$\}1\backslash )$

A Power Plant includes $15$ gas turbine units operate on on compressor and turbine have isentropic comprestion and simple Brayton eyche basis Thes cycles entering the compressor at I bar and $300$ K $.$ The pressure copansion efliciencies of $\backslash (90\backslash \%\backslash ),$ and aif the air leaves the combustion clamber at $1500$ K $.$ The ratio across the compressor is $1311,$ and electric generator efficiency is $\backslash (95\backslash \%\backslash ).$ The net power combustion efreiency is $\backslash (90\backslash \%\backslash ),$ and then uses gaseous fuel that has a lower heating value of $50$ of each gas forbine is $126$ MW $.$ The plami installation cost of the plant is $\backslash (\backslash$$ $800/\backslash$mathrm$\{$kW$\}\backslash )$ and the $\backslash (50,000\backslash$mathrm$\{$~kJ$\}/\backslash$mathrm$\{$kg$\}\backslash )$ and costs $\backslash (\backslash$$ $10/6\backslash$mathrm$\{$si$\}\backslash ).$ The initial and turbine cycle plant. The company owner consortinate of cost is $575$ milinen$/$year for the pes operating a carbon capture and sequestration freition is exploring the feasibility of installing and and a MARR of $\backslash (9\backslash \%\backslash ).$ There is also an operating kg tan$.$ The project has a financial life of $20$ years $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash ),$ and a fixed capital cost of $\backslash (\backslash$$ $100\backslash )$ million for cost of $\backslash (\backslash$$ $5\mathrm{.}00/\backslash )$ ton to captare and transport the transmit $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ from the plant and to inject for the capturing and pumping the $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ facilitus to installation of a $250$ km pipeline to movect it into the aquifer. The transportation requires the installation costs about $\backslash (\backslash$$ $1,000,000\backslash ).$ capacity for $\backslash (\backslash$mathbf$\{8000\}\backslash$mathbf$\{$~ h r$\}/\backslash )$ year and using $\backslash (\backslash$mathbf$\{$~ k m$\}\backslash ).$ Assuming that the plant is being operated with a full

$1)$ Plot the T$-$s diagram and calculate:

$2)$ The mass flow rate of air $(\backslash (\backslash$dot$\{\backslash$boldsymbol$\{$m$\}\}\backslash ))$ throughout the cycle in $\backslash (\backslash$frac$\{\backslash$mathrm$\{$kg$\}\}\{\backslash$mathrm$\{$s$\}\}\backslash )$ and $\backslash (\backslash$mathrm$\{$kg$\}/\backslash$mathrm$\{$h$\}\backslash )$

$3)$ The heat added in $(\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}\backslash ))$ and in MW $.$

$4)$ The cycle thermal efficiency.

$5)$ The overall cycle efficiency

$6)$ The heat rate $($heat added$)$ in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kWh$\}\backslash )$ accounting for the combustion efficiency

$7)$ The mass flow rate of the fuel used

$8)$ The annual cost of the fuel used.

$9)$ The levelized cot of energy $($LCOE$)$:

a$.$ With carbon capture and sequestration and,

b$.$ Without carbon capture but including the Carbon Taxes $($as part of the opere cost$)$

$10)$ What would be your advice to the power plant owner consortium: to install and operate the carbon capture facility or to pay the carbon taxes in light of your analy above.

Please, make any reasonable assumptions for any parameters you see it is required. Y use the following properties