Complete and balance the following half-reaction in basic solution. Be sure to include the proper phases for all species within the reaction. Cr₂O72- (aq) → Cr³+ (aq)

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### Balancing Redox Reactions in Basic Solution

**Objective:** Complete and balance the following half-reaction in basic solution. Be sure to include the proper phases for all species within the reaction.

**Given Reaction:**

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

When balancing redox reactions in basic solution:

1. **Identify the reaction as a redox process**, which involves a change in the oxidation state of the elements.
   
2. **Split the equation into two half-reactions**: oxidation and reduction.

3. **Balance each half-reaction** for mass and charge:
   - Balance all elements except for hydrogen and oxygen.
   - Balance oxygen atoms by adding \(\text{H}_2\text{O}\).
   - Balance hydrogen atoms by adding \(\text{OH}^-\) (since the solution is basic).
   - Balance the charges by adding electrons (\(e^-\)).

4. **Combine the half-reactions**, ensuring that electrons are canceled out.

5. **Verify** that the elements and charges are balanced in the final equation.

**Example Process:**

For the given \(\text{Cr}_2\text{O}_7^{2-} \rightarrow \text{Cr}^{3+}\), there will be steps such as balancing chromium and oxygen, adding water molecules, balancing with hydroxide ions, and adding electrons appropriately.

This approach ensures a thorough understanding of how redox reactions are balanced in a basic solution, which is crucial for chemistry students.
Transcribed Image Text:### Balancing Redox Reactions in Basic Solution **Objective:** Complete and balance the following half-reaction in basic solution. Be sure to include the proper phases for all species within the reaction. **Given Reaction:** \[ \text{Cr}_2\text{O}_7^{2-} \,(\text{aq}) \rightarrow \text{Cr}^{3+} \,(\text{aq}) \] When balancing redox reactions in basic solution: 1. **Identify the reaction as a redox process**, which involves a change in the oxidation state of the elements. 2. **Split the equation into two half-reactions**: oxidation and reduction. 3. **Balance each half-reaction** for mass and charge: - Balance all elements except for hydrogen and oxygen. - Balance oxygen atoms by adding \(\text{H}_2\text{O}\). - Balance hydrogen atoms by adding \(\text{OH}^-\) (since the solution is basic). - Balance the charges by adding electrons (\(e^-\)). 4. **Combine the half-reactions**, ensuring that electrons are canceled out. 5. **Verify** that the elements and charges are balanced in the final equation. **Example Process:** For the given \(\text{Cr}_2\text{O}_7^{2-} \rightarrow \text{Cr}^{3+}\), there will be steps such as balancing chromium and oxygen, adding water molecules, balancing with hydroxide ions, and adding electrons appropriately. This approach ensures a thorough understanding of how redox reactions are balanced in a basic solution, which is crucial for chemistry students.
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