Answer
![SeO_2+4OH^-\rightarrow SeO^(2-)_4+2H_2O+2e^-](https://img.qammunity.org/2023/formulas/chemistry/high-school/dk6xh8z142o7uiw0ih348155fh8ld0mx5r.png)
Step-by-step explanation
The given balanced half-reaction for an acidic solution:
![2H_2O+SeO_2\rightarrow SeO^(2-)_4+4H^++2e^-](https://img.qammunity.org/2023/formulas/chemistry/high-school/jep8ayxwcbccfv0nvo9fp8hf16ccxhq3br.png)
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⁺
![2H_2O+SeO_2+4OH^-\rightarrow SeO^(2-)_4+4H^++4OH^-+2e^-](https://img.qammunity.org/2023/formulas/chemistry/high-school/wd9084ugrspwz4hmmnxackocn1p7zwyjwd.png)
2. Combine H+ and OH- to make H2O.
![2H_2O+SeO_2+4OH^-\rightarrow SeO^(2-)_4+4H_2O+2e^-](https://img.qammunity.org/2023/formulas/chemistry/high-school/ii9vvutkmhc0jcysnc5yu6n5j84avmn7ii.png)
3. Simplify by canceling out excess H2O
![SeO_2+4OH^-\rightarrow SeO^(2-)_4+2H_2O+2e^-](https://img.qammunity.org/2023/formulas/chemistry/high-school/dk6xh8z142o7uiw0ih348155fh8ld0mx5r.png)
4. Balance the charges by adding e-
![SeO_2+4OH^-\rightarrow SeO^(2-)_4+2H_2O+2e^-](https://img.qammunity.org/2023/formulas/chemistry/high-school/dk6xh8z142o7uiw0ih348155fh8ld0mx5r.png)