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Carbon can reduce ferric oxide to iron at a temperature above $983 \mathrm{~K}$ because
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carbon has a higher affinity towards oxidation than iron
Above $983 \mathrm{~K}$, free energy change for the formation of $\mathrm{CO}_{2}$ is more negative than that for ferric oxide. Thus, above this temperature, carbon has a higher affinity towards oxidation than iron.
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