Balance the following redox reaction in basic solution. SO;²- (aq) + Cr2O,7-(aq) → Cr³*(aq)+ SO?-(aq)

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**Balancing Redox Reactions in Basic Solution**

**Problem Statement:**
Balance the following redox reaction in a basic solution:

\[ \text{SO}_3^{2-} \, (\text{aq}) + \text{Cr}_2\text{O}_7^{2-} \, (\text{aq}) \rightarrow \text{Cr}^{3+} \, (\text{aq}) + \text{SO}_4^{2-} \, (\text{aq}) \]

**Explanation:**

This equation represents a redox (reduction-oxidation) reaction. Redox reactions involve the transfer of electrons between species, resulting in changes in oxidation states. To balance a redox reaction in a basic solution, follow these general steps:

1. **Identify the Oxidation and Reduction half-reactions:**
   - Determine the oxidation states of the elements involved in the reaction.
   - Identify species that are oxidized and reduced.

2. **Balance Each Half-Reaction:**
   - Balance elements other than O and H first.
   - Balance O by adding H\(_2\)O.
   - Balance H by adding H\(^+\) (note: we'll adjust for basic conditions later).
   - Balance charge by adding electrons (e\(^-\)).

3. **Combine the Half-Reactions:**
   - Ensure the total number of electrons in both half-reactions is equal.
   - Add the half-reactions together.

4. **Adjust for Basic Conditions:**
   - Add OH\(^-\) to both sides of the equation to neutralize any H\(^+\) present.
   - Combine H\(^+\) and OH\(^-\) to form H\(_2\)O.

5. **Finalize the Balanced Equation:**
   - Confirm that mass and charge are balanced.

This step-by-step process ensures the equation adheres to the conservation of mass and charge, reflecting the stoichiometry of the redox reaction occurring in a basic solution.
Transcribed Image Text:**Balancing Redox Reactions in Basic Solution** **Problem Statement:** Balance the following redox reaction in a basic solution: \[ \text{SO}_3^{2-} \, (\text{aq}) + \text{Cr}_2\text{O}_7^{2-} \, (\text{aq}) \rightarrow \text{Cr}^{3+} \, (\text{aq}) + \text{SO}_4^{2-} \, (\text{aq}) \] **Explanation:** This equation represents a redox (reduction-oxidation) reaction. Redox reactions involve the transfer of electrons between species, resulting in changes in oxidation states. To balance a redox reaction in a basic solution, follow these general steps: 1. **Identify the Oxidation and Reduction half-reactions:** - Determine the oxidation states of the elements involved in the reaction. - Identify species that are oxidized and reduced. 2. **Balance Each Half-Reaction:** - Balance elements other than O and H first. - Balance O by adding H\(_2\)O. - Balance H by adding H\(^+\) (note: we'll adjust for basic conditions later). - Balance charge by adding electrons (e\(^-\)). 3. **Combine the Half-Reactions:** - Ensure the total number of electrons in both half-reactions is equal. - Add the half-reactions together. 4. **Adjust for Basic Conditions:** - Add OH\(^-\) to both sides of the equation to neutralize any H\(^+\) present. - Combine H\(^+\) and OH\(^-\) to form H\(_2\)O. 5. **Finalize the Balanced Equation:** - Confirm that mass and charge are balanced. This step-by-step process ensures the equation adheres to the conservation of mass and charge, reflecting the stoichiometry of the redox reaction occurring in a basic solution.
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