Water is the working fluid in a Carnot vapor power cycle. Saturated liquid enters the boiler at a pressure of $11$ MPa and saturated vapor enters the turbine. The condenser pressure is $8$ kPa $.$ Determine:

$($a$)$ the thermal efficiency.

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$($b$)$ the back work ratio.

bwr $=$

$($c$)$ the heat transfer to the working fluid per unit mass passing through the boiler, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathbf$\{$k g$\}\backslash ).$

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$\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}\backslash )$

$($d$)$ the heat transfer from the working fluid per unit mass passing through the condenser, in $\backslash (\backslash$mathrm$\{$kJ$\}/\backslash$mathrm$\{$kg$\}\backslash ).$

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