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Exercises · 6.5

Q.Out of C and CO, which is a better reducing agent at 673 K ?

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Step 1 – Recall the relevant Ellingham lines

Three related lines matter here: C+O2→CO2C + O_2 \rightarrow CO_2 (roughly flat, ΔS≈0\Delta S \approx 0), 2C+O2→2CO2C + O_2 \rightarrow 2CO (steep negative slope, since moles of gas increase, ΔS>0\Delta S > 0), and 2CO+O2→2CO22CO + O_2 \rightarrow 2CO_2 (positive slope, moles of gas decrease, ΔS<0\Delta S < 0).

Step 2 – The crossover point

The C,CO line and the CO,CO2_2 line intersect at approximately 983 K (about 710°C).

  • Below ~983 K: the CO,CO2_2 line lies below (more negative ΔG∘\Delta G^\circ) than the C,CO line, meaning oxidation of CO to CO2_2 is thermodynamically more favourable than oxidation of C to CO — so CO is the better reducing agent in this range.
  • Above ~983 K: the lines cross and the C,CO line drops lower, so carbon becomes the better reducing agent.

Step 3 – Apply to 673 K …

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