If `E_(1)^(@),E_(2)^(@)` and `E_(3)^(@)` are the standard electrode potential for `Fe//Fe^(2+),Fe^(2+),Fe^(2+)//Fe^(3+)` and `Fe//Fe^(3+)` electrodes respectively, derive a relation between `E_(1)^(@),E_(2)^(@) and E_(3)^(@)`.

Explanation

To derive the relationship between the standard electrode potentials \( E_1^\circ, E_2^\circ, \) and \( E_3^\circ \) for the given half-reactions, we can follow these steps:

### Step 1: Write the half-reactions and their standard electrode potentials
1. The half-reaction for the reduction of iron(II) ions to iron is:
\[ \text{Fe}^{2+} + 2e^- \rightarrow \text{Fe} \quad (E_1^\circ) \]
2. The half-reaction for the reduction of iron(III) ions to iron(II) ions is:
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