Answer
[tex]SeO_2+4OH^-\rightarrow SeO^{2-}_4+2H_2O+2e^-[/tex]Explanation
The given balanced half-reaction for an acidic solution:
[tex]2H_2O+SeO_2\rightarrow SeO^{2-}_4+4H^++2e^-[/tex]What to find:
Tha balanced half-reaction for a basic solution.
Step-by-step-solution:
To balance the half-reaction for a basic solution;
1. Add OH⁻ ions to BOTH SIDES to neutralize any H⁺
[tex]2H_2O+SeO_2+4OH^-\rightarrow SeO^{2-}_4+4H^++4OH^-+2e^-[/tex]2. Combine H+ and OH- to make H2O.
[tex]2H_2O+SeO_2+4OH^-\rightarrow SeO^{2-}_4+4H_2O+2e^-[/tex]3. Simplify by canceling out excess H2O
[tex]SeO_2+4OH^-\rightarrow SeO^{2-}_4+2H_2O+2e^-[/tex]4. Balance the charges by adding e-
[tex]SeO_2+4OH^-\rightarrow SeO^{2-}_4+2H_2O+2e^-[/tex]