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Q.Explain how rusting of iron is envisaged as setting up of an electrochemical cell.

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Rusting of iron is an electrochemical process in which the iron surface behaves as a short-circuited galvanic cell: at an anodic spot iron is oxidised (2Fe→2Fe2++4e−2\text{Fe} \rightarrow 2\text{Fe}^{2+} + 4e^-, E∘=−0.44 VE^\circ = -0.44\ \text{V}) and at a cathodic spot oxygen is reduced in the presence of H+\text{H}^+ (O2+4H++4e−→2H2O\text{O}_2 + 4\text{H}^+ + 4e^- \rightarrow 2\text{H}_2\text{O}, E∘=1.23 VE^\circ = 1.23\ \text{V}), giving Ecell∘=1.67 VE^\circ_{\text{cell}} = 1.67\ \text{V}. The Fe2+\text{Fe}^{2+} is finally oxidised to rust, hydrated ferric oxide Fe2O3⋅xH2O\text{Fe}_2\text{O}_3\cdot x\text{H}_2\text{O}.

The Core Idea: Why Rusting is Electrochemical

When you see a rusty iron gate, you are really looking at the result of a tiny, invisible battery. Iron does not simply "burn" in air — corrosion of iron is a redox process that separates into two half-reactions occurring at different spots on the same metal surface. This spatial separation of oxidation and reduction is the hallmark of an electrochemical cell.

The key point: a piece of iron is never perfectly uniform. It carries impurities, and even on pure iron different areas have different access to oxygen and moisture. These differences make some spots anodic and others cathodic, turning the iron surface into a short-circuited galvanic cell.

Step-by-Step Breakdown

1. The Anode (Oxidation Spot)

At an anodic spot — typically a strained region, an impurity site, or an area with poorer oxygen access — iron atoms lose electrons and go into the surrounding moisture as ferrous ions:

2Fe(s)⟶2Fe2+(aq)+4e−E(Fe2+/Fe)∘=−0.44 V2\text{Fe(s)} \longrightarrow 2\text{Fe}^{2+}(\text{aq}) + 4e^- \qquad E^\circ_{(\text{Fe}^{2+}/\text{Fe})} = -0.44\ \text{V}

This is oxidation. The electrons released travel through the iron metal itself to a cathodic spot.

Watch out

A common mistake is to think iron is oxidised directly to Fe3+\text{Fe}^{3+}. The first electrochemical step forms Fe2+\text{Fe}^{2+}; the Fe3+\text{Fe}^{3+} (rust) appears only later, through further oxidation by atmospheric oxygen.

2. The Cathode (Reduction Spot)

At a cathodic spot — usually a region with better oxygen access — the electrons from the anode are consumed. Oxygen is reduced in the presence of H+\text{H}^+:

O2(g)+4H+(aq)+4e−⟶2H2O(l)E(H+∣O2∣H2O)∘=1.23 V\text{O}_2(\text{g}) + 4\text{H}^+(\text{aq}) + 4e^- \longrightarrow 2\text{H}_2\text{O(l)} \qquad E^\circ_{(\text{H}^+|\text{O}_2|\text{H}_2\text{O})} = 1.23\ \text{V}

Where do the H+\text{H}^+ ions come from? They are believed to be available from carbonic acid (H2CO3\text{H}_2\text{CO}_3) formed when atmospheric CO2\text{CO}_2 dissolves into the water film; H+\text{H}^+ may also come from other acidic oxides dissolving from the atmosphere. This is why rusting is faster in moist, polluted, and CO2\text{CO}_2-rich air.

Note

Under strongly alkaline or oxygen-rich neutral conditions the oxygen-reduction step can instead be written as O2+2H2O+4e−→4OH−\text{O}_2 + 2\text{H}_2\text{O} + 4e^- \rightarrow 4\text{OH}^-. Both forms are legitimate representations of oxygen reduction, but for the atmospheric rusting discussed here the acidic form (with H+\text{H}^+ from dissolved CO2\text{CO}_2) is the one used — it is what gives the standard Ecell∘=1.67 VE^\circ_{\text{cell}} = 1.67\ \text{V} below.

3. The Overall Cell Reaction

Adding the anode and cathode half-reactions (electrons already balance, 4 each):

2Fe(s)+O2(g)+4H+(aq)⟶2Fe2+(aq)+2H2O(l)Ecell∘=1.67 V2\text{Fe(s)} + \text{O}_2(\text{g}) + 4\text{H}^+(\text{aq}) \longrightarrow 2\text{Fe}^{2+}(\text{aq}) + 2\text{H}_2\text{O(l)} \qquad E^\circ_{\text{cell}} = 1.67\ \text{V}

The cell potential follows directly from the two electrode values:

Ecell∘=Ecathode∘−Eanode∘=1.23−(−0.44)=1.67 VE^\circ_{\text{cell}} = E^\circ_{\text{cathode}} - E^\circ_{\text{anode}} = 1.23 - (-0.44) = 1.67\ \text{V}

A large positive Ecell∘E^\circ_{\text{cell}} confirms the process is strongly spontaneous — iron rusts readily.

4. Formation of Rust (The Final Product)

The ferrous ions are further oxidised by atmospheric oxygen to ferric ions, which precipitate as rust — hydrated ferric oxide:

2Fe2+(aq)+2H2O(l)+12O2(g)⟶Fe2O3(s)+4H+(aq)2\text{Fe}^{2+}(\text{aq}) + 2\text{H}_2\text{O(l)} + \tfrac{1}{2}\text{O}_2(\text{g}) \longrightarrow \text{Fe}_2\text{O}_3(\text{s}) + 4\text{H}^+(\text{aq})

giving rust as Fe2O3⋅xH2O\text{giving rust as } \text{Fe}_2\text{O}_3\cdot x\text{H}_2\text{O}

Notice the H+\text{H}^+ regenerated here feeds back into the cathodic reaction, so rusting keeps propagating.

The electrochemical cell of rusting:

Anode (oxidation): 2Fe→2Fe2++4e−2\text{Fe} \rightarrow 2\text{Fe}^{2+} + 4e^-, E∘=−0.44 V\quad E^\circ = -0.44\ \text{V}

Cathode (reduction): O2+4H++4e−→2H2O\text{O}_2 + 4\text{H}^+ + 4e^- \rightarrow 2\text{H}_2\text{O}, E∘=1.23 V\quad E^\circ = 1.23\ \text{V}

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