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Given E^(c-).(Fe^(2+)|Fe) and E^(c-).(Fe...

Given `E^(c-)._(Fe^(2+)|Fe)` and `E^(c-)._(Fe^(3+)|Fe^(2+))` are `-0.44` and `0.77V` respectively.
If `Fe^(2+),Fe^(3+)` and `Fe` blocks are kept together, then

A

`Fe^(3+)` increases

B

`Fe^(3+)` decreases

C

`Fe^(2+), Fe^(3+)` remain unchanged

D

`Fe^(2+)` decreases

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the given standard electrode potentials and their implications for the reactions involving the iron species (Fe²⁺, Fe³⁺, and Fe). ### Step-by-Step Solution: 1. **Identify the Given Potentials:** - The standard electrode potential for the half-reaction \( \text{Fe}^{2+} + 2e^- \rightarrow \text{Fe} \) is given as \( E^\circ = -0.44 \, \text{V} \). - The standard electrode potential for the half-reaction \( \text{Fe}^{3+} + e^- \rightarrow \text{Fe}^{2+} \) is given as \( E^\circ = 0.77 \, \text{V} \). 2. **Determine Spontaneity of Reactions:** - The reaction \( \text{Fe}^{2+} + 2e^- \rightarrow \text{Fe} \) is non-spontaneous because the potential is negative. - The reaction \( \text{Fe}^{3+} + e^- \rightarrow \text{Fe}^{2+} \) is spontaneous because the potential is positive. 3. **Analyze the System:** - When \( \text{Fe}^{2+} \), \( \text{Fe}^{3+} \), and solid \( \text{Fe} \) are kept together, the spontaneous reaction will be the reduction of \( \text{Fe}^{3+} \) to \( \text{Fe}^{2+} \). - This means \( \text{Fe}^{3+} \) will be reduced, leading to an increase in the concentration of \( \text{Fe}^{2+} \). 4. **Conclude the Changes in Concentrations:** - As \( \text{Fe}^{3+} \) is reduced to \( \text{Fe}^{2+} \), the concentration of \( \text{Fe}^{3+} \) will decrease. - The concentration of \( \text{Fe}^{2+} \) will increase due to the conversion from \( \text{Fe}^{3+} \). 5. **Final Answer:** - Therefore, the correct conclusion is that the concentration of \( \text{Fe}^{3+} \) decreases. ### Answer: The concentration of \( \text{Fe}^{3+} \) decreases.

To solve the problem, we need to analyze the given standard electrode potentials and their implications for the reactions involving the iron species (Fe²⁺, Fe³⁺, and Fe). ### Step-by-Step Solution: 1. **Identify the Given Potentials:** - The standard electrode potential for the half-reaction \( \text{Fe}^{2+} + 2e^- \rightarrow \text{Fe} \) is given as \( E^\circ = -0.44 \, \text{V} \). - The standard electrode potential for the half-reaction \( \text{Fe}^{3+} + e^- \rightarrow \text{Fe}^{2+} \) is given as \( E^\circ = 0.77 \, \text{V} \). ...
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