Wlhich of the following cell can produce more electrical work?

Options

A. `Pt,H_(2)|0.1NH_(4)Cl||0.1MCH_(3)COOH|H_(2),Pt`
B. `Pt,H_(2)|0.1MHCl||0.1MNaOH|H_(2),Pt`
C. `Pt,H_(2)|0.1MHCl||0.1MCH_(3)COOK|H_(2),Pt`
D. `Pt,H_(2)|0.1MCH_(3)COOK||0.1MHCl|H_(2),Pt`

Answer

To determine which cell can produce more electrical work, we need to analyze the electrochemical cells based on their standard electrode potentials (E°) and the concentrations of the reactants involved.

### Step-by-Step Solution:

1. **Understanding the Concept**:
- The electrical work produced by a cell is related to its cell potential (E_cell). The higher the E_cell, the more electrical work the cell can produce.
- The formula for calculating E_cell is:
\[ E_{cell} = E^\circ_{cell} - \frac{0.0591}{n} \log \frac{[H^+]_{anode}}{[H^+]_{cathode}} \]
- Here, \(E^\circ_{cell}\) is the standard cell potential, and \([H^+]_{anode}\) and \([H^+]_{cathode}\) are the concentrations of hydrogen ions at the anode and cathode, respectively.

2. **Identifying Anode and Cathode**:
- In the context of the question, the left side of the cell is the anode and the right side is the cathode.
- We need to determine the strength of acids or bases at both electrodes.

3. **Analyzing the Options**:
- **Option A**: Anode (NH4Cl - weak base) and Cathode (CH3COOH - weak acid)
- This combination is not favorable as both sides are weak.
- **Option B**: Anode (Strong Acid) and Cathode (NaOH - strong base)
- This combination is also not favorable as it does not match the acid-base criteria for a concentration cell.
- **Option C**: Anode (Strong Acid) and Cathode (Weak Acid)
- This combination is not ideal for maximizing electrical work.
- **Option D**: Anode (Weak Acid) and Cathode (Strong Acid)
- This combination is favorable because the weak acid at the anode will have a lower concentration of H⁺ ions compared to the strong acid at the cathode, thus maximizing the E_cell.

4. **Conclusion**:
- Based on the analysis, **Option D** is the correct answer as it provides the highest E_cell, leading to more electrical work being produced.

### Final Answer:
**Option D**: Anode (Weak Acid) and Cathode (Strong Acid) can produce more electrical work.

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