Now for the same reactants (a stoichiometric mixture of iso-octane and air) relax the assumptions made in part a regarding the allowable product species, to allow for the following 11 product species: CO2, CO, H2O, H2, O2, N2, NO, O, H, N, and OH. You are to develop a system of equations that would allow you (in principle) to solve for the equilibrium product mole fractions i of these 11 species, given the pressure and temperature of the product mixture. c. Since there are four elements in the system, four linear equations can be written relating the 11 unknown product mole fractions. Write a set of four linear equations that relate the 11 unknown mole fractions, and that include the known values of zC/N, zH/N , and zO/N from part b. You should leave the three z's in your equations at this point, rather than substituting their numerical values. d. Seven more equations are needed to solve for the 11 unknown product mole fractions. These equations can be developed by considering the equilibrium of seven reversible reactions. Write an appropriate set of seven independent reversible reactions, and the seven corresponding nonlinear equations that relate the product mole fractions to the equilibrium constants for the reactions.

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