One gram-mole each of CO₂, O₂, and N₂ are fed to a batch reactor and heated to 3000K and 5.0atm. The two reactions given here proceed to equilibrium (also shown are the equilibrium constants at 3000 K). Calculate the equilibrium composition (component mole fractions) of the reactor contents. [Suggestion: Express K₁ and K₂ in terms of the extents of the two reactions ?₁ and ?₂. (See Section 4.6d) Then use an equation-solving program or a trial-and-error procedure, such as the Newton-Raphson method (Appendix A.2), to solve for ?₁ and ?₂, and use the results to determine the equilibrium mole fractions.]

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CO₂ = CO + 0₂ K₁ = (Pcopo)/pco₂ = 0.3272 atm¹¹2 O₂ + N₂ NO K₂ = PNO/(PO₂ PN₂) ¹/² = 0.1222