What is the standard reducing potential `(E^(@))` for `Fe^(3+)to Fe`?
(Given that `Fe^(2+)+2e^(-)rightarrowFe,` `E_(Fe^(2+)//Fe^(@)) =-0.47V`
`Fe^(3+) + e^(-)to Fe^(2+)`, `E_(Fe^(3+)//Fe^(2+))^(@)= +0.77V`

Options

A. `(+0.057V)`
B. `(+0.30V)`
C. `(-0.30V)`
D. `(-0.057V)`

Explanation

To find the standard reducing potential \( E^\circ \) for the reaction \( Fe^{3+} \rightarrow Fe \), we can utilize the given half-reactions and their standard reduction potentials.

### Step-by-Step Solution:

1. **Identify the Half-Reactions**:
We have the following half-reactions:
- \( Fe^{2+} + 2e^- \rightarrow Fe \) with \( E^\circ = -0.47 \, V \)
- \( Fe^{3+} + e^- \rightarrow Fe^{2+} \) with \( E^\circ = +0.77 \, V \)
...