You are asked to balance the following redox equation. What characteristics does this equation have that would lead you to balance it using the half-reaction method? +NO₂ 3 → NO + Cu²+ (aq)
You are asked to balance the following redox equation. What characteristics does this equation have that would lead you to balance it using the half-reaction method? +NO₂ 3 → NO + Cu²+ (aq)
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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![**Balancing Redox Equations Using the Half-Reaction Method**
In this exercise, you are asked to balance the following redox equation. Consider the characteristics that guide the decision to use the half-reaction method for balancing:
**Given Equation:**
\[ \text{Cu} _{(s)} + \text{NO}_3 ^{-} _{(aq)} \rightarrow \text{NO} _{(g)} + \text{Cu}^{2+} _{(aq)} \]
### Characteristics for Using the Half-Reaction Method:
1. **Oxidation and Reduction Steps:**
- Identify the species undergoing oxidation and reduction.
- **Oxidation:** Cu (s) → Cu²⁺ (aq)
- **Reduction:** NO₃⁻ (aq) → NO (g)
2. **Balancing the Charges:**
- Balance the charges by adding electrons (e⁻) to the half-reactions.
- For the copper oxidation half-reaction: Cu (s) → Cu²⁺ (aq) + 2e⁻
- For the nitrate reduction half-reaction: NO₃⁻ (aq) + 4H⁺ + 3e⁻ → NO (g) + 2H₂O (l)
3. **Balancing Atoms and Mass:**
- Ensure that all atoms except hydrogen and oxygen are balanced initially.
- Use water (H₂O) to balance oxygen atoms and hydrogen ions (H⁺) to balance hydrogen atoms in acidic solutions.
4. **Combining the Half-Reactions:**
- Multiply the half-reactions by appropriate factors to equalize the number of electrons involved in both half-reactions.
- Add the half-reactions together and simplify to get the balanced redox equation.
### Explanation of Components:
- **Cu (s):** Solid Copper, which gets oxidized to Cu²⁺.
- **NO₃⁻ (aq):** Nitrate ion in aqueous solution, which gets reduced to NO (g).
- **NO (g):** Nitric oxide gas, a product of the reduction half-reaction.
- **Cu²⁺ (aq):** Copper ion in an aqueous solution, a product of the oxidation half-reaction.
This redox equation balancing requires attention to both the oxidation state changes and charge conservation, making the half](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad5cd1c2-61be-40b1-b71a-8c06e1fba66a%2F8d223606-2dfb-442c-9c82-6d5dd0f99d07%2Fu79k3v_processed.png&w=3840&q=75)
Transcribed Image Text:**Balancing Redox Equations Using the Half-Reaction Method**
In this exercise, you are asked to balance the following redox equation. Consider the characteristics that guide the decision to use the half-reaction method for balancing:
**Given Equation:**
\[ \text{Cu} _{(s)} + \text{NO}_3 ^{-} _{(aq)} \rightarrow \text{NO} _{(g)} + \text{Cu}^{2+} _{(aq)} \]
### Characteristics for Using the Half-Reaction Method:
1. **Oxidation and Reduction Steps:**
- Identify the species undergoing oxidation and reduction.
- **Oxidation:** Cu (s) → Cu²⁺ (aq)
- **Reduction:** NO₃⁻ (aq) → NO (g)
2. **Balancing the Charges:**
- Balance the charges by adding electrons (e⁻) to the half-reactions.
- For the copper oxidation half-reaction: Cu (s) → Cu²⁺ (aq) + 2e⁻
- For the nitrate reduction half-reaction: NO₃⁻ (aq) + 4H⁺ + 3e⁻ → NO (g) + 2H₂O (l)
3. **Balancing Atoms and Mass:**
- Ensure that all atoms except hydrogen and oxygen are balanced initially.
- Use water (H₂O) to balance oxygen atoms and hydrogen ions (H⁺) to balance hydrogen atoms in acidic solutions.
4. **Combining the Half-Reactions:**
- Multiply the half-reactions by appropriate factors to equalize the number of electrons involved in both half-reactions.
- Add the half-reactions together and simplify to get the balanced redox equation.
### Explanation of Components:
- **Cu (s):** Solid Copper, which gets oxidized to Cu²⁺.
- **NO₃⁻ (aq):** Nitrate ion in aqueous solution, which gets reduced to NO (g).
- **NO (g):** Nitric oxide gas, a product of the reduction half-reaction.
- **Cu²⁺ (aq):** Copper ion in an aqueous solution, a product of the oxidation half-reaction.
This redox equation balancing requires attention to both the oxidation state changes and charge conservation, making the half
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