The following two reactions take place in a gas phase reactor at 3000 K and 1 atmosphere pressure:

2CO₂(g)  2CO(g) + O₂(g)                                     K_eq.1071

O₂(g) + N₂(g)  2NO(g)                                    K_eq.01493

One third of a gmol of CO₂, O₂, and N₂ are charged in a batch reactor and the contents equilibrate at 3000 K and 1 atmosphere pressure. Determine the extent of reaction for the two reactions shown above.