Exhaust gas from a diesel engine has 6.5% CO₂, 4.5% CO, 9.0 O₂, and the balance N₂. Estimate the cetane number of the fuel supplied (to the nearest whole number).
 

Component	Chemical Formula	Molar Mass	Specific Gravity
Cetane	C16H34	226.41	0.775
Methyl Naphtha	C11H10	142.20	1.025

Note: 

how to show the balancing of chemical formulas if needed.

draw the flow diagram. 

present step by step solution that I can understand. 

explain  the solutions afterwards as if you are teaching this in a classroom with aspiring chemical engineering students. Short explanation for each step would do.