Q$2.$ 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 $50$ percent excess 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$\}\backslash ).$