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🧪 Chemistry  ·  Isolation of Elements  ·  NEET & JEE

The free energy change for the reaction Fe2O<sub>3</sub> + 3CO → 2Fe + 3CO<sub>2</sub> becomes negative (spontaneous) only above a certain temperature. This critical temperature is approximately:

Answer: 700°C (Ellingham diagram crossover between C/CO line and Fe2O 3 line).

  • A 700°C (Ellingham diagram crossover between C/CO line and Fe2O<sub>3</sub> line)
  • B 0°C, the freezing point of water rather than any meaningful crossover temperature
  • C 1500°C, far above the actual Ellingham crossover for this pair of lines
  • D 25°C, ordinary room temperature with no special thermodynamic significance here

Correct answer: A. 700°C (Ellingham diagram crossover between C/CO line and Fe2O<sub>3</sub> line)

Explanation: The C→CO line on the Ellingham diagram crosses below the Fe→Fe2O<sub>3</sub> line at about 700°C; above this T, CO reduction of Fe2O<sub>3</sub> is spontaneous; the actual blast furnace operates at ~1500-1700°C for complete reduction.

Ellingham Diagram (simplified)T (°C)ΔG° (more negative ↑)CO + ½O₂ → CO₂ (carbon line)2Al + 1.5O₂ → Al₂O₃2Mg + O₂ → 2MgOcrossover: above this T, carbon reduces Al₂O₃

An Ellingham diagram plots ΔG° of oxide formation against temperature for different metals; whichever line is LOWER (more negative ΔG°) at a given temperature reduces the oxide of any metal whose line sits above it - the basis of carbon reduction (Fe, Zn) vs electrolytic reduction (Al, Mg, Na) decisions.

Concept context

The science of extracting metals from ores and refining them for use. Covers concentration methods, reduction techniques, refining processes, and the thermodynamic principles that govern metal extraction.

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