Balance the ionic equation , `Fe ^(2+) + MnO_(4)^(-) to Fe^(3+) + Mn^(3+)` (acidic medium ) and convert it to a balanced formula - unit equation .

Explanation

To balance the ionic equation \( \text{Fe}^{2+} + \text{MnO}_4^{-} \rightarrow \text{Fe}^{3+} + \text{Mn}^{2+} \) in acidic medium, we will follow these steps:

### Step 1: Identify the oxidation and reduction half-reactions.
- **Oxidation half-reaction**: \( \text{Fe}^{2+} \rightarrow \text{Fe}^{3+} \)
- **Reduction half-reaction**: \( \text{MnO}_4^{-} \rightarrow \text{Mn}^{2+} \)

### Step 2: Balance the oxidation half-reaction.
In the oxidation half-reaction, iron is oxidized from +2 to +3:
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