Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![**Balancing Redox Reactions in Acidic Solutions**
**Objective:**
Learn to complete and balance the following redox reaction in an acidic solution:
\[ \text{Mn}^{2+} (aq) + \text{BiO}_3^{-} (aq) \rightarrow \text{MnO}_4^{-} (aq) + \text{Bi}^{3+} (aq) \]
**Instructions:**
Using the interactive calculator provided, balance the redox reaction step-by-step. You can use various buttons and symbols, such as numbers, aqueous (aq), solid (s), liquid (l), gas (g), and other related terms. Additionally, you will have access to symbols for ions and molecules present in the reaction (e.g., Bi, \( \text{H}_2\text{O} \), \( \text{H}_3\text{O}^+ \), \( e^{-} \), \( \text{Mn} \), \( \text{OH}^- \), \( \text{H}^+ \)).
### Interactive Elements:
- **Reactants and Products:** Enter the coefficients of reactants and products.
- **Restart and Navigation Buttons:**
- **Reset:** Clears all entered values to allow you to restart the balancing process.
- **Navigation Arrows:** Use these to move between different parts of the reaction equation.
### Step-by-Step Process:
1. **Identify the oxidation and reduction half-reactions.**
2. **Balance each half-reaction for mass (atoms other than H and O).**
3. **Balance oxygen atoms by adding \( \text{H}_2\text{O} \).**
4. **Balance hydrogen atoms by adding \( \text{H}^+ \).**
5. **Balance the charges by adding electrons \( e^- \).**
6. **Combine the balanced half-reactions, ensuring that the number of electrons cancels out.**
7. **Verify that both mass and charge are balanced.**
**Example Calculation:**
To balance the above reaction:
1. **Oxidation half-reaction (Mn):**
\[ \text{Mn}^{2+} \rightarrow \text{MnO}_4^{-} \]
2. **Reduction half-reaction (Bi):**
\[ \text{BiO}_3^{-} \rightarrow \text{Bi}^{3+} \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18d0a7dc-afe1-42e7-9349-84d2cfc69c53%2F29ef4d84-e453-4912-9b9c-7a0e3127ba03%2F82ykmf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Balancing Redox Reactions in Acidic Solutions**
**Objective:**
Learn to complete and balance the following redox reaction in an acidic solution:
\[ \text{Mn}^{2+} (aq) + \text{BiO}_3^{-} (aq) \rightarrow \text{MnO}_4^{-} (aq) + \text{Bi}^{3+} (aq) \]
**Instructions:**
Using the interactive calculator provided, balance the redox reaction step-by-step. You can use various buttons and symbols, such as numbers, aqueous (aq), solid (s), liquid (l), gas (g), and other related terms. Additionally, you will have access to symbols for ions and molecules present in the reaction (e.g., Bi, \( \text{H}_2\text{O} \), \( \text{H}_3\text{O}^+ \), \( e^{-} \), \( \text{Mn} \), \( \text{OH}^- \), \( \text{H}^+ \)).
### Interactive Elements:
- **Reactants and Products:** Enter the coefficients of reactants and products.
- **Restart and Navigation Buttons:**
- **Reset:** Clears all entered values to allow you to restart the balancing process.
- **Navigation Arrows:** Use these to move between different parts of the reaction equation.
### Step-by-Step Process:
1. **Identify the oxidation and reduction half-reactions.**
2. **Balance each half-reaction for mass (atoms other than H and O).**
3. **Balance oxygen atoms by adding \( \text{H}_2\text{O} \).**
4. **Balance hydrogen atoms by adding \( \text{H}^+ \).**
5. **Balance the charges by adding electrons \( e^- \).**
6. **Combine the balanced half-reactions, ensuring that the number of electrons cancels out.**
7. **Verify that both mass and charge are balanced.**
**Example Calculation:**
To balance the above reaction:
1. **Oxidation half-reaction (Mn):**
\[ \text{Mn}^{2+} \rightarrow \text{MnO}_4^{-} \]
2. **Reduction half-reaction (Bi):**
\[ \text{BiO}_3^{-} \rightarrow \text{Bi}^{3+} \
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