Corrosion of iron is a redox reaction that occurs in two half-reactions: an anodic reaction (oxidation) and a cathodic reaction (reduction).
1. Anodic reaction (oxidation):
Iron atoms lose electrons (oxidation) and are converted into \( \text{Fe}^{2+} \) ions. This reaction occurs at the anodic area of the iron rod:
\[
\text{Fe}(s) \rightarrow \text{Fe}^{2+}(aq) + 2e^-
\]
2. Cathodic reaction (reduction):
Oxygen from the air reacts with water and electrons to form hydroxide ions (\( \text{OH}^- \)) at the cathodic area:
\[
\text{O}_2(g) + 2\text{H}_2\text{O}(l) + 4e^- \rightarrow 4\text{OH}^-
\]
This reaction represents the reduction half-reaction at the cathode.
3. Overall reaction:
The overall corrosion reaction involves the iron reacting with oxygen and water to form iron(III) hydroxide, which can eventually lead to rust:
\[
4\text{Fe}(s) + 3\text{O}_2(g) + 6\text{H}_2\text{O}(l) \rightarrow 4\text{Fe(OH)}_3(s)
\]
This corrosion process occurs in the presence of oxygen and water, and the reaction at the cathode is correctly represented in option (B).
Thus, the correct statement is (B).