Develop expressions for the mole fractions of reacting species as functions of the reaction coordinate for:
(a) A system initially containing 2 mol NH₃ and 5 mol O₂ and undergoing the reaction:

4NH₃(g)  + 5O₂(g)  → 4NO(g)  + 6Η₂Ο(g)

(b) A system initially containing 3 mol H₂S and 5 mol O₂ and undergoing the reaction:

2H₂S(g)  + 3O₂(g)  → 2H₂O(g)  + 2SO₂(g)

(c) A system initially containing 3 mol NO2, 4 mol NH3, and 1 mol N2 and undergoing the reaction:

6NO₂(g)  + 8NH₃(g)  → 7N₂(g)  + 12H₂O(g)