The magnetic moment of `[Mn(CN)_(6)]^(3-)` is 2.8 B.M and that of `[MnBr_(4)]^(2-)`is 5.9 B.M. What are the geometries of these complex ions

Explanation

To determine the geometries of the complex ions \([Mn(CN)_6]^{3-}\) and \([MnBr_4]^{2-}\), we will analyze the magnetic moments and oxidation states of manganese in both complexes.

### Step 1: Analyze the magnetic moment of \([Mn(CN)_6]^{3-}\)

1. **Given Magnetic Moment**: The magnetic moment of \([Mn(CN)_6]^{3-}\) is 2.8 B.M.
2. **Magnetic Moment Formula**: The formula for magnetic moment (\(\mu\)) is given by:
\[
\mu = \sqrt{n(n + 2)}
...