Consider the combustion of hydrocarbon fuel, CnHm, with excess theoretical air and incomplete combustion according to the chemical reaction as follows:
CnHm + (1 + B)Ath(O2 + 3.76 N2) → D CO2 + E CO + F H2O + G O2 + J N2
where Ath is the theoretical O2 required for this fuel and B is the excess amount of air in decimal form. If a is the fraction of carbon in the fuel converted to carbon dioxide and b is the remaining fraction converted to carbon monoxide, determine the coefficients Ath, D, E, F, G, and J for a fixed B amount of excess air. Write the coefficients D, E, F, G, and J as functions of n, m, a, b, B, and Ath in the simplest correct forms.