Why is the value for `(Mn^(3+))/(Mn^(2+))` couple much more positive than that for `(Cr^(3+))/(Cr^(2+))` or `(Fe^(3+))/(Fe^(2+))`? Explain

Explanation

To understand why the value for the \( \frac{Mn^{3+}}{Mn^{2+}} \) couple is much more positive than that for the \( \frac{Cr^{3+}}{Cr^{2+}} \) or \( \frac{Fe^{3+}}{Fe^{2+}} \) couples, we need to analyze the electronic configurations and stability of these ions.

### Step-by-Step Solution:

1. **Identify the Electronic Configurations**:
- Manganese (Mn): Atomic number = 25
- \( Mn^{2+} \): Configuration = \( [Ar] 3d^5 \)
- \( Mn^{3+} \): Configuration = \( [Ar] 3d^4 \)
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