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Daniel cell, the EMF of the cell can b e...

Daniel cell, the EMF of the cell can b e increased b y

A

increasing the concentration af `Zn^(+)` ions

B

decreasing the concentration of `Cu^(2+)`

C

increasing the concentration of `Cu^(2+)`

D

decreasing the concentration of `Zn^(2+)` ions

Text Solution

AI Generated Solution

The correct Answer is:
To determine how to increase the EMF (electromotive force) of a Daniel cell, we need to analyze the cell reaction and the Nernst equation. ### Step-by-Step Solution: 1. **Understand the Cell Reaction**: The Daniel cell consists of a zinc electrode and a copper electrode. The overall cell reaction can be written as: \[ \text{Cu}^{2+} + \text{Zn} \rightarrow \text{Cu} + \text{Zn}^{2+} \] 2. **Write the Nernst Equation**: The EMF of the cell can be expressed using the Nernst equation: \[ E_{\text{cell}} = E^\circ - \frac{0.0591}{n} \log \left( \frac{[\text{Zn}^{2+}]}{[\text{Cu}^{2+}]} \right) \] where \(E^\circ\) is the standard EMF of the cell, \(n\) is the number of moles of electrons transferred (which is 2 for this reaction), and \([\text{Zn}^{2+}]\) and \([\text{Cu}^{2+}]\) are the concentrations of zinc and copper ions, respectively. 3. **Identify Factors Affecting EMF**: To increase the EMF of the cell, we need to minimize the term: \[ \log \left( \frac{[\text{Zn}^{2+}]}{[\text{Cu}^{2+}]} \right) \] This can be achieved by either: - Decreasing the concentration of \([\text{Zn}^{2+}]\) - Increasing the concentration of \([\text{Cu}^{2+}]\) 4. **Evaluate the Options**: - **Option 1**: Increasing the concentration of \([\text{Zn}^{2+}]\) - This would increase the log term, decreasing the EMF. - **Option 2**: Decreasing the concentration of \([\text{Cu}^{2+}]\) - This would increase the log term, decreasing the EMF. - **Option 3**: Increasing the concentration of \([\text{Cu}^{2+}]\) - This would decrease the log term, increasing the EMF. - **Option 4**: Decreasing the concentration of \([\text{Zn}^{2+}]\) - This would decrease the log term, increasing the EMF. 5. **Conclusion**: The EMF of the Daniel cell can be increased by: - Increasing the concentration of \([\text{Cu}^{2+}]\) (Option 3) - Decreasing the concentration of \([\text{Zn}^{2+}]\) (Option 4) ### Final Answer: The EMF of the Daniel cell can be increased by: - **Increasing the concentration of copper ions (\([\text{Cu}^{2+}]\))**. - **Decreasing the concentration of zinc ions (\([\text{Zn}^{2+}]\))**.
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