Balance the following redox reactions by ion-electron method.
`Cr_(2)O_(7)^(2-)+SO_(2)(g)toCr^(3+)(aq)+SO_(4)^(2-)(aq)` (in acidic solution)

Explanation

To balance the redox reaction `Cr_(2)O_(7)^(2-) + SO_(2) → Cr^(3+) + SO_(4)^(2-)` in acidic solution using the ion-electron method, follow these steps:

### Step 1: Identify Oxidation States
First, determine the oxidation states of the elements in the reaction:
- In `Cr_(2)O_(7)^(2-)`, the oxidation state of Cr is +6.
- In `SO_(2)`, the oxidation state of S is +4.
- In `Cr^(3+)`, the oxidation state of Cr is +3.
- In `SO_(4)^(2-)`, the oxidation state of S is +6.
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