Consider the combustion of hydrocarbon fuel, CnHm, with

Chapter 15, Problem 113P

(choose chapter or problem)

Consider the combustion of hydrocarbon fuel, \(\mathrm{C}_{n} \mathrm{H}_{\mathrm{m}}\), with excess theoretical air and incomplete combustion according to the chemical reaction as follows:

\(\begin{aligned}&\mathrm{C}_{n} \mathrm{H}_{m}+(1+B) A_{\mathrm{th}}\left(\mathrm{O}_{2}+3.76 \mathrm{~N}_{2}\right) \rightarrow \\&\quad D \mathrm{CO}_{2}+E \mathrm{CO}+F \mathrm{H}_{2} \mathrm{O}+G \mathrm{O}_{2}+J \mathrm{~N}_{2}\end{aligned}\)

where \(\mathrm{A}_{\mathrm{th}}\) is the theoretical \(\mathrm{O}_{2}\) required for this fuel and \(\mathrm{B}\) 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 \(A_{\text {th }}, D, E, F, G\), 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 \(A_{\text {th }}\) in the simplest correct forms.

Equation Transcription:

Text Transcription:

C_nH_m

C_nH_m+(1+B)A_th(O_2+3.76N_2)

DCO_2+ECO+FH_2O+GO_2+J N_

A_th

O_2

A_th,D,E,F,G,J

D,E,F,G,J

n,m,a,b,B

A_th