Final answer:
The half-reaction of NO2(g) to NO3-(aq) in basic solution can be balanced by first balancing the atoms, then the oxygen and hydrogen atoms and finally the charge, using H2O, OH-, and electrons accordingly.
Step-by-step explanation:
To balance the half-reaction of NO2(g) to NO3- (aq) in a basic solution, we need to follow the half-reaction method steps. First, we balance the atoms other than oxygen and hydrogen. In this case, nitrogen is already balanced with one nitrogen on each side of the equation. Next, we balance the oxygen atoms by adding H2O molecules. We then balance the hydrogen atoms by adding OH- ions for each hydrogen atom introduced by the H2O molecules. After that, we balance the charge by adding electrons to the side which is more positive. Finally, if there are any water molecules or hydroxide ions present on both sides, we simplify the equation.