Answer:
Explanation:
Here, we want to balance the given equation in acidic conditions
We start by breaking the equation into half equations
We have that as:
[tex]\begin{gathered} ClO_3^-\text{ }\rightarrow\text{ Cl}^- \\ NO_2\rightarrow\text{ NO}_3^- \end{gathered}[/tex]
The next step is to balance other elements aside from oxygen and hydrogen
This is already done
The next step is to balance oxygen by adding H2O:
[tex]\begin{gathered} ClO_3^-\text{ }\rightarrow\text{ Cl}^-\text{ +3 H}_2O \\ NO_2\text{ + H}_2O\text{ }\rightarrow NO_3^-\text{ } \end{gathered}[/tex]
The next step is to balance hydrogen by adding the hydrogen ion
We have that as:
[tex]\begin{gathered} ClO_3^-\text{ + 6H}^+\text{ }\rightarrow Cl^-\text{ + 3H}_2O \\ NO_2\text{ + H}_2O\text{ }\rightarrow\text{ NO}_3^-\text{ + 2H}^+ \end{gathered}[/tex]
The next step here is to balance the excess ions by adding electrons:
[tex]\begin{gathered} ClO_3^-\text{ + 6H}^+\text{ + 4e}^-\rightarrow\text{ Cl}^-\text{ + 3H}_2O \\ NO_2\text{ + H}_2O\text{ }\rightarrow\text{ NO}_3^-\text{ + 2H}^+\text{ + e}^- \end{gathered}[/tex]
Now, we need to cancel out the electrons.
We multiply equation ii by 4:
[tex]\begin{gathered} ClO_{3\text{ }}^-\text{ + 6H}^+\text{ + 4e}^-\text{ }\rightarrow\text{ Cl}^-\text{ + 3H}_2O \\ 4NO_2\text{ + 4H}_2O\text{ }\rightarrow\text{ 4NO}_3^-\text{ + 8H}^+\text{ + 4e}^- \end{gathered}[/tex]
Now, let us merge the two equations:
[tex]ClO_3^-\text{ + 4NO}_2\text{ + H}_2O\text{ }\rightarrow\text{ Cl}^-\text{ + 4NO}_3^-\text{ + 2H}^+[/tex]