Final answer:
The balanced chemical equation for the reaction NH₃ + O₂ → NO + H₂O is 4NH₃ + 5O₂ → 4NO + 6H₂O, where the numbers of nitrogen and oxygen atoms are equal on both sides.
Step-by-step explanation:
The equation provided by the student, NH₃ + O₂ → NO + H₂O, is a chemical reaction that needs to be balanced properly. To balance the equation, one needs to ensure that the number of atoms for each element on the reactant side is equal to the number of atoms for each element on the product side. In this case, the balanced equation is option c), which is: 4NH₃ + 5O₂ → 4NO + 6H₂O. This ensures that there are equal numbers of nitrogen (N) and oxygen (O) atoms on both sides of the equation.