Problem $5$

Gaseous propane $\backslash (\backslash$left$(\backslash$mathrm$\{$C$\}\_\{3\}\backslash$mathrm$\{$H$\}\_\{8\}\backslash$right$)\backslash )$ is burned in a steady$-$flow, constant$-$pressure process at $100$ kPa with $200$ percent theoretical air. During the combustion process, $90$ percent of the carbon in the fuel is converted to $\backslash (\backslash$mathrm$\{$CO$\}\_\{2\}\backslash )$ and $10$ percent is converted to CO$.$ Determine

$($a$)$ the balanced combustion equation,

$($b$)$ the dew$-$point temperature of the products, in $\backslash (\{\}^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ),$ and

$($c$)$ the heat transfer from the combustion chamber, in kJ $,$ after $100$ kmol of fuel are burned when the reactants enter the combustion chamber at $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ and the products are cooled to $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash ).$