The complexation of `Fe^(2+)` with the chelating agent dipyridyl has been studied Kinetically in both the forward and reverse direction, For the complexation reaction `Fe^(2+)+3` dipy `rarr [Fe(dipy)_(3)]^(2+)`, the rate of formation of the complex at `25^(@)C` is given by
Rate `= (1.45 xx 10^(13) L^(3) mol^(-3) s^(-1)) [Fe^(2+)][dipy]^(3)` and for the reverse of the above eqaution, the rate of disappearance of the complex is
`(1.22 xx 10^(-4) s^(-1)) [Fe(dipy)_(3)]^(2+]`
What is `K_(s)`, the stability constant for the complex ?

Explanation

To find the stability constant \( K_s \) for the complexation of \( Fe^{2+} \) with the chelating agent dipyridyl, we can use the rates of the forward and reverse reactions provided in the question.

### Step-by-Step Solution:

1. **Identify the Forward Reaction Rate**:
The rate of formation of the complex \( [Fe(dipy)_3]^{2+} \) is given by:
\[
\text{Rate}_{\text{forward}} = 1.45 \times 10^{13} \, L^3 \, mol^{-3} \, s^{-1} \times [Fe^{2+}] \times [dipy]^3
...