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Question 35

Gibbs energy vs T plot for the formation of oxides is given below. For the given diagram, the correct statement is-

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Ellingham Diagram Analysis & Solution

 Ellingham Diagram Principles:
  • A reducing agent can reduce a metal oxide only if its own oxidation line lies below that of the metal oxide at a given temperature.
  • When a line is lower on the graph, its standard Gibbs free energy of formation ($\Delta G^\circ$) is more negative, meaning it forms a more stable oxide and successfully extracts oxygen from the element above it.

Evaluation of the Options at 600°C:

  •  A) At 600°C, CO cannot reduce FeO, (Incorrect)

    Reason: At 600°C, the carbon monoxide oxidation curve $$2\text{CO} + \text{O}_2 \rightarrow 2\text{CO}_2$$ lies lower than the iron oxide line $$2\text{Fe} + \text{O}_2 \rightarrow 2\text{FeO}$$. This indicates that CO is thermodynamically capable of reducing FeO at this temperature, making the statement false.

  •  B) At 600°C, CO can reduce ZnO (incorrect)

    Reason: The zinc oxide curve $$\text{Zn} + \text{O}_2 \rightarrow 2\text{ZnO}$$ sits exceptionally low on the diagram (highly negative $$\Delta G^\circ$$ near −650 kJ/mol). Since the CO line is well above it at 600°C, CO cannot reduce ZnO.

  •  C) At 600°C, C can reduce ZnO (incorrect)

    Reason: The reduction of ZnO by solid carbon $$2\text{C} + \text{O}_2 \rightarrow 2\text{CO}$$ only becomes favorable above the intersection point, which happens at temperatures well exceeding 900°C. At 600°C, the carbon line is far above the zinc line.

  •  D) At 600°C, C can reduce FeO, (correct)

    Reason: Based on the standard configuration of this problem in pyrometallurgy, at 600°C, the combined free energy change $$\Delta G^\circ$$ for the coupled reduction reaction yields a negative value, confirming that elemental carbon functions as an effective reducing agent for iron oxide.

Correct Option: D (At 600°C, C can reduce FeO)

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