J.R. S. answered 04/22/23
Ph.D. University Professor with 10+ years Tutoring Experience
This is a redox reaction. You can tell immediately because oxygen (O2) goes from oxidation state of zero on the left to oxidation state of -2 on the right (in H2O and in K2CrO4). It has been reduced. What has been oxidized? Cr goes from 3+ in Cr2O3 to 6+ in K2CrO4. Cr has been oxidized. The reaction is taking place in basic conditions (indicated by presence of KOH).
2 Сr2O3 + 8 КОН + 3 О2 -> 4 K2CrO4 + 4 H2O .. balanced redox equation. See below for how to do this.
ANSWER = (D) 8
Half reactions:
O2 + 4H2O +4e- ==> 2H2O + 4OH- .. balanced reduction half reaction
Cr2O3 + 5H2O + 10 OH- ==> 2CrO42- +10 H2O + 6e- .. balanced oxidation half reaction
3O2 + 12H2O + 12e- ==> 6H2O + 12OH- ..
2Cr2O3 + 10H2O + 20 OH- ==> 4CrO42- +20 H2O + 12e-
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3O2 + 2Cr2O3 + 8 OH- ==> 4H2O + 4CrO42- .. balanced redox equation