\( \mathrm{P} \) W Which of the following is incorrect on the basis...

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Which of the following is incorrect on the basis of the above Ellingham diagram for carbon?
(a) \( \mathrm{Up} \) to \( 710^{\circ} \mathrm{C} \), the reaction of formation of \( \mathrm{CO}_{2} \) is energetically more favorable, but above \( 710^{\circ} \mathrm{C} \), the formation of \( \mathrm{CO} \) is preferred
(b) In principle, carbon can be used to reduce any metal oxide at a sufficiently high temperature
(c) \( \Delta S\left(\mathrm{C}_{(\mathrm{s})}+1 / 2 \mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{(\mathrm{g})}\right) \) \( \Delta S\left(\mathrm{C}_{(\mathrm{s})}+\mathrm{O}_{2(\mathrm{~g})} \longrightarrow \mathrm{CO}_{2(\mathrm{~g})}\right) \)
(d) Carbon reduces many oxides at elevated temperature because \( \Delta G^{o} \) vs temperature line has a negative slope
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