Balance the redox reaction by half reaction method :
`Br_(2)+ H_(2)O_(2) to BrO_(3)^(-) + H_(2)O` (in acidic medium)

Explanation

To balance the redox reaction \( \text{Br}_2 + \text{H}_2\text{O}_2 \rightarrow \text{BrO}_3^{-} + \text{H}_2\text{O} \) in acidic medium using the half-reaction method, follow these steps:

### Step 1: Identify Oxidation and Reduction
First, determine the oxidation states of the elements involved in the reaction:

- For \( \text{Br}_2 \): The oxidation state of Br is 0 (elemental form).
- For \( \text{BrO}_3^{-} \): Let the oxidation state of Br be \( x \). The equation becomes:
\[
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