Step 1: Position of highly reactive metals.
Highly reactive metals such as sodium, potassium, calcium, magnesium and aluminium are placed at the top of the reactivity series.
They have a very strong tendency to lose electrons and form stable positive ions.
Step 2: Condition for carbon reduction.
For carbon to reduce a metal oxide, carbon must be more reactive than that metal.
Only then can carbon remove oxygen from the metal oxide and form carbon monoxide or carbon dioxide.
This is possible only for metals placed below carbon in the reactivity series.
Step 3: Stability of oxides of highly reactive metals.
Oxides of highly reactive metals such as MgO, Al₂O₃ and CaO are extremely stable.
They have very large negative values of Gibbs free energy of formation.
Because of this high stability, carbon cannot break these strong metal–oxygen bonds.
Step 4: Thermodynamic explanation.
The reduction reaction can be written as:
MO + C → M + CO
For this reaction to occur, the Gibbs free energy change must be negative.
In the case of highly reactive metals, the formation of their oxides is more favorable than the formation of CO or CO₂.
Therefore, the reaction has positive ΔG and is not feasible.
Step 5: Ellingham diagram reasoning.
In the Ellingham diagram, the lines representing oxides of highly reactive metals lie below the carbon oxidation line.
This shows that carbon cannot reduce these oxides at practical temperatures.
Step 6: Conclusion.
Hence, highly reactive metals cannot be obtained from their oxides by reduction with carbon.
They are usually extracted by electrolysis of their molten compounds instead.
Final Answer:
Highly reactive metals cannot be obtained from their oxides using carbon because their oxides are extremely stable and carbon is not reactive enough to reduce them under normal metallurgical conditions.