A chemist designs a galvanic cell that uses these two half-reactions: half-reaction 2+ Cu(aq) + e MnO4(aq) + 2 H₂O(1)+3e + Cu (aq) MnO₂(s) + 4 OH (aq) standard reduction potential = +0.153 V red Ered = +0.59 V

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### Galvanic Cell Design using Copper and Manganese Half-Reactions

In the design of a galvanic cell, a chemist utilizes the following two half-reactions, each with specified standard reduction potentials.

| **Half-Reaction**                                    | **Standard Reduction Potential**       |
|------------------------------------------------------|----------------------------------------|
| Cu<sup>2+</sup>(aq) + e<sup>-</sup> → Cu<sup>+</sup>(aq)  | \( E^\circ_{red} = +0.153 \, \text{V} \)   |
| MnO<sub>4</sub><sup>-</sup>(aq) + 2 H<sub>2</sub>O(l) + 3 e<sup>-</sup> → MnO<sub>2</sub>(s) + 4 OH<sup>-</sup>(aq)   | \( E^\circ_{red} = +0.59 \, \text{V} \)     |

#### Table Explanation:
- **Half-Reaction Column**: This column lists the chemical reactions where reduction occurs (gaining electrons). 
- **Standard Reduction Potential Column**: This column lists the standard reduction potential (E<sup>0</sup><sub>red</sub>) for each half-reaction in volts (V), describing the tendency of each species to gain electrons and be reduced.

**Key concepts**:
- **Reduction Potential**: A measure of the tendency of a chemical species to acquire electrons and thereby be reduced. The higher the value, the greater the species' affinity for electrons.
- **Standard Conditions**: Typically refer to a solution at 1 M concentration, 25°C temperature, and 1 atm pressure.

In the galvanic cell designed here, the MnO<sub>4</sub><sup>-</sup> reaction has a higher reduction potential and will act as the cathode. The Cu<sup>2+</sup> reaction, with a lower reduction potential, will act as the anode. This setup ensures the spontaneous flow of electrons from the anode to the cathode, generating electric current.

This example illustrates how understanding standard reduction potentials aids in predicting the direction of redox reactions and designing efficient electrochemical cells.
Transcribed Image Text:### Galvanic Cell Design using Copper and Manganese Half-Reactions In the design of a galvanic cell, a chemist utilizes the following two half-reactions, each with specified standard reduction potentials. | **Half-Reaction** | **Standard Reduction Potential** | |------------------------------------------------------|----------------------------------------| | Cu<sup>2+</sup>(aq) + e<sup>-</sup> → Cu<sup>+</sup>(aq) | \( E^\circ_{red} = +0.153 \, \text{V} \) | | MnO<sub>4</sub><sup>-</sup>(aq) + 2 H<sub>2</sub>O(l) + 3 e<sup>-</sup> → MnO<sub>2</sub>(s) + 4 OH<sup>-</sup>(aq) | \( E^\circ_{red} = +0.59 \, \text{V} \) | #### Table Explanation: - **Half-Reaction Column**: This column lists the chemical reactions where reduction occurs (gaining electrons). - **Standard Reduction Potential Column**: This column lists the standard reduction potential (E<sup>0</sup><sub>red</sub>) for each half-reaction in volts (V), describing the tendency of each species to gain electrons and be reduced. **Key concepts**: - **Reduction Potential**: A measure of the tendency of a chemical species to acquire electrons and thereby be reduced. The higher the value, the greater the species' affinity for electrons. - **Standard Conditions**: Typically refer to a solution at 1 M concentration, 25°C temperature, and 1 atm pressure. In the galvanic cell designed here, the MnO<sub>4</sub><sup>-</sup> reaction has a higher reduction potential and will act as the cathode. The Cu<sup>2+</sup> reaction, with a lower reduction potential, will act as the anode. This setup ensures the spontaneous flow of electrons from the anode to the cathode, generating electric current. This example illustrates how understanding standard reduction potentials aids in predicting the direction of redox reactions and designing efficient electrochemical cells.
### Electrochemical Cells: Writing Balanced Equations

Here are a series of tasks aimed at formulating and balancing chemical equations pertinent to electrochemical cells:

**Task 1: Cathode Half-Reaction**
- **Instruction:** Write a balanced equation for the half-reaction that happens at the cathode.
- **Response Area:** [                                                           ]

**Task 2: Anode Half-Reaction**
- **Instruction:** Write a balanced equation for the half-reaction that happens at the anode.
- **Response Area:** [                                                           ]

**Task 3: Overall Reaction**
- **Instruction:** Write a balanced equation for the overall reaction that powers the cell. Be sure the reaction is spontaneous as written.
- **Response Area:** [                                                           ]

---

By completing these tasks, you will gain a better understanding of the individual and overall reactions that occur in electrochemical cells, which are fundamental components in batteries and various types of fuel cells.
Transcribed Image Text:### Electrochemical Cells: Writing Balanced Equations Here are a series of tasks aimed at formulating and balancing chemical equations pertinent to electrochemical cells: **Task 1: Cathode Half-Reaction** - **Instruction:** Write a balanced equation for the half-reaction that happens at the cathode. - **Response Area:** [ ] **Task 2: Anode Half-Reaction** - **Instruction:** Write a balanced equation for the half-reaction that happens at the anode. - **Response Area:** [ ] **Task 3: Overall Reaction** - **Instruction:** Write a balanced equation for the overall reaction that powers the cell. Be sure the reaction is spontaneous as written. - **Response Area:** [ ] --- By completing these tasks, you will gain a better understanding of the individual and overall reactions that occur in electrochemical cells, which are fundamental components in batteries and various types of fuel cells.
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