Step 1: Understanding Carbo-Thermic Reduction
Carbo-thermic reduction involves reducing metal oxides using carbon as the reducing agent. However, not all metals can be commercially extracted this way due to thermodynamic limitations.
Step 2: Role of the Ellingham Diagram
The Ellingham diagram is a graph of Gibbs free energy (\( \Delta G \)) vs. temperature for various metal oxides. A more negative line indicates a more stable oxide and harder reduction.
In the case of aluminium:
- The Al–Al\(_2\)O\(_3\) line lies far below the carbon–CO and carbon–CO\(_2\) lines.
- This means carbon cannot reduce Al\(_2\)O\(_3\) because the reaction is not thermodynamically favourable at practical temperatures.
Step 3: Alternative Method — Electrolytic Reduction
Due to this, aluminium is commercially extracted by electrolysis of alumina (Hall-Héroult process), not by carbo-thermic methods.
Conclusion: Aluminium is not reduced by carbon because the Al–Al\(_2\)O\(_3\) line is too low in the Ellingham diagram and would require excessively high temperature for reduction.