For the combustion of methane presented in Example 5.4, the chemical reaction is CH4 +2O2 →CO2 +2H2O Suppose that methane flows into a burner at 30 gmol/s, while oxygen flows into the same burner at 75 gmol/s. If all the meth- ane is burned and a single output stream leaves the burner, what is the mole fraction of CO2 in that output stream? Hint 1: Does the fact that all the methane is burned mean that all the oxygen is burned also? Hint 2: Find the molar flow rate of each component gas in the outlet gas ("flue gas").

Explanation:

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In this case, for the reactive scheme, it is very convenient to write each species' mole balance as shown below:

Whereas accounts for the reaction extent. However, as all the methane is consumed, from the methane balance:

Thus, we can compute the rest of the outlet mole flows since not all the oxygen is consumed as it is in excess:

It means that the mole fraction of carbon dioxide in that output is:

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b. accuracy of the data matters alot more than its number of digits, organization or amount of detail. quantitative observation is more accepted than the qualitative observation.