Task $1$: Reaction equation for propane

a$)$ Derive the reaction equation for lean propane$/$air$-$flames including $$ as parameter. $($lamda is relative air$/$fuel ratio$),$lean means more than air needed

b$)$ Determine the molar and specific minimum air demand for a stoichiometric

combustion of $C_3{H}_8.$

c$)$ To decrease the combustion temperature, nitrogen is added to the fuel$/$air mixture.

The ratio of air and nitrogen is hereby $70$:$30.$ Determine the reaction equation for the

stoichiometric combustion of the mixture. Calculate the molar fractions of fuel,

oxygen and nitrogen within the mixture.