Does peroxide ion, `O_2^(2-)`, has a longer or shorter bond length than `O_2`? Explain.

Explanation

To determine whether the peroxide ion \( O_2^{2-} \) has a longer or shorter bond length than \( O_2 \), we need to analyze the bond order of both species and understand the relationship between bond order and bond length.

### Step-by-Step Solution:

1. **Identify the Molecular Formula and Total Electrons:**
- For the \( O_2 \) molecule, each oxygen atom has 8 electrons. Therefore, for \( O_2 \):
\[
\text{Total electrons} = 8 \times 2 = 16
...