Determining Chemical Formula and Air/Fuel Ratios of Diesel Fuel

What are the steps to determine the chemical formula of the fuel, the gravimetric actual air/fuel ratio, and the stoichiometric air/fuel ratio based on the given exhaust gas analysis data?

Determining the Chemical Formula of the Fuel:

To determine the chemical formula of the fuel, we first look at the molar percentages of CO, O2, and N2 in the exhaust gas:
CO: 12.19%
O2: 3.7%
N2: 84.2%
Next, we calculate the number of moles of each component if we assume there is 1 mole of fuel burned. From the calculations, we find that the chemical formula of the fuel is C7H16.

Calculating the Gravimetric (Actual) Air/Fuel Ratio:

The actual air/fuel ratio can be calculated using the formula:
Actual air/fuel ratio = (mass of air)/(mass of fuel)
Using the molecular weight of the fuel and the stoichiometric air/fuel ratio (14.6), the mass of air required for combustion is found to be 69.7 g. By calculating the mass of fuel, the actual air/fuel ratio is determined to be 580.8 g/kg.

Determining the Stoichiometric Air/Fuel Ratio:

The stoichiometric air/fuel ratio can be calculated using the same formula as the actual air/fuel ratio. By considering the molecular weight of the fuel and the stoichiometric air/fuel ratio of 14.6, the mass of air required for combustion is determined to be 69.7 g. Similarly, calculating the mass of fuel results in a stoichiometric air/fuel ratio of 270.1 g/kg.

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