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In the electrochemical reaction, 2Fe^(3+...

In the electrochemical reaction, `2Fe^(3+)+Zn rarr Zn^(2+) + 2Fe^(2+)` increasing the concentration of `Fe^(2+)`:

A

increases the cell emf

B

increases the current flow

C

decreases the cell emf

D

alters the pH of the solution

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The correct Answer is:
To solve the problem regarding the electrochemical reaction `2Fe^(3+) + Zn → Zn^(2+) + 2Fe^(2+)`, we will analyze the effects of increasing the concentration of `Fe^(2+)` on the cell's emf (electromotive force), current flow, and pH of the solution. ### Step-by-Step Solution: 1. **Identify the Reaction**: The given reaction involves the reduction of `Fe^(3+)` to `Fe^(2+)` and the oxidation of `Zn` to `Zn^(2+)`. 2. **Use Nernst Equation**: The Nernst equation is used to calculate the emf of the cell under non-standard conditions: \[ E = E^\circ - \frac{0.059}{n} \log \left( \frac{[Fe^{2+}]^2 [Zn^{2+}]}{[Fe^{3+}]^2 [Zn]} \right) \] where: - \(E^\circ\) is the standard electrode potential, - \(n\) is the number of electrons transferred (which is 2 in this case), - \([Fe^{2+}]\), \([Zn^{2+}]\), \([Fe^{3+}]\), and \([Zn]\) are the concentrations of the respective species. 3. **Effect of Increasing [Fe^(2+)]**: When the concentration of `Fe^(2+)` increases, the term \([Fe^{2+}]^2\) in the Nernst equation increases. This leads to an increase in the logarithmic term: \[ \log \left( \frac{[Fe^{2+}]^2 [Zn^{2+}]}{[Fe^{3+}]^2 [Zn]} \right) \] Since the logarithm of a larger number is greater, this will cause the overall value of the logarithmic term to increase. 4. **Impact on E**: As the logarithmic term increases, the term \(-\frac{0.059}{n} \log\) becomes more negative, which means that the overall emf \(E\) of the cell decreases: \[ E = E^\circ - \text{(a larger positive value)} \] Thus, the emf of the cell decreases. 5. **Current Flow**: The current flow in an electrochemical cell is directly related to the emf. If the emf decreases, the driving force for the reaction decreases, which typically results in a decrease in the current flow. 6. **Effect on pH**: The reaction produces `Fe^(2+)`, which can lead to a decrease in pH (increase in acidity) as more `Fe^(2+)` ions are present in the solution. However, the exact change in pH would depend on the buffering capacity of the solution and the extent of the reaction. ### Conclusion: - The increase in concentration of `Fe^(2+)` leads to a decrease in the cell emf. - The current flow will also decrease as a result of the decreased emf. - The pH of the solution may decrease due to the increase in `Fe^(2+)` concentration. ### Final Answer: The overall effect of increasing the concentration of `Fe^(2+)` is that the cell emf decreases.
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