One method of obtaining chromium metal from chromite ore is as follows. After reaction (23.16), sodium chromate is reduced to chromium(III) oxide by carbon. Then the chromium(III) oxide is reduced to chromium metal by silicon. Write plausible equations to describe these two reactions.

Reaction (23.16)

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4 Fe(CrO₂)2(s) + 8 Na₂CO3(s) + 70₂(g) 2 Fe₂O3(s) + 8 Na₂CrO4(s) + 8 CO₂(g) (23.16)