Concept:
Spontaneity in redox reactions is determined by the standard electrode potential (\(E^{\circ}\)). For a reaction to be spontaneous, the overall cell potential (\(E^{\circ}_{cell}\)) must be positive.
Step 1: Evaluate the reaction trends for Halogens.
Fluorine is the strongest oxidizing agent and readily reacts with water:
\[
2F_2 + 2H_2O \rightarrow 4HF + O_2 \text{ (Spontaneous)}
\]
As we move down the group, oxidizing power decreases. Chlorine and bromine reactions with water are partially spontaneous or require light/conditions, but the reaction of Iodine with water is endergonic.
Step 2: Analyze the reverse reaction.
The reaction \(2I_2 + 2H_2O \rightarrow 4HI + O_2\) is non-spontaneous because \(I_2\) is not a strong enough oxidizing agent to oxidize water to oxygen. In fact, the reverse reaction (oxidation of \(I^-\) by \(O_2\)) is more favorable in acidic conditions.
\[
\boxed{2I_2 + 2H_2O \rightarrow 4HI + O_2}
\]