Problem $2(40$ pts$)$

A fuel of molar composition $C{H}_4(60\%),C_2{H}_6(20\%),CO(5\%),O_2(5\%)$ and $N_2(10\%)$ is supplied with air $[$molar composition $O_2(21\%)$ and $N_2(79\%)]$ for complete combustion. If $50\%$ excess air is used, calculate the following:

$($a$)(15$ pts$)$ The extent of reactions for $C{H}_4,C_2{H}_6$ and $CO$

$($b$)(5$ pts$)$ Moles of oxygen supplied

$($c$)(5$ pts$)$ Moles of unreacted oxygen $($oxygen in the flue gas$)$

$($d$)(5$ pts$)$ Moles of nitrogen in the flue gas

$($e$)(5$ pts$)$ Moles of carbon dioxide produced

$($f$)(5$ pts$)$ Moles of water vapor in the flue gas