Aluminum oxide (Al2O3) and iron (Fe) react according to the following equation:__Al2O3 + __Fe → __Fe3O4 + __AlBalancing the equation requires inserting the correct coefficients to reflect that no atoms are gained or lost in the reaction. Which is the correct set of four coefficients, in order?A.2, 8, 3, 6B.4, 9, 3, 8C.1, 3, 1, 2D.3, 9, 3, 6SUBMITarrow_backPREVIOUS
Question
Aluminum oxide (Al2O3) and iron (Fe) react according to the following equation:__Al2O3 + __Fe → __Fe3O4 + __AlBalancing the equation requires inserting the correct coefficients to reflect that no atoms are gained or lost in the reaction. Which is the correct set of four coefficients, in order?A.2, 8, 3, 6B.4, 9, 3, 8C.1, 3, 1, 2D.3, 9, 3, 6SUBMITarrow_backPREVIOUS
Solution
The correct set of four coefficients, in order, is A.2, 8, 3, 6.
Here's how you balance the equation:
- Start with the given equation: Al2O3 + Fe → Fe3O4 + Al
- Balance the Fe atoms first. There are 3 Fe atoms on the right side of the equation in Fe3O4, so put a coefficient of 3 in front of Fe on the left side: Al2O3 + 3Fe → Fe3O4 + Al
- Now balance the Al atoms. There are 2 Al atoms on the left side in Al2O3, so put a coefficient of 2 in front of Al on the right side: Al2O3 + 3Fe → Fe3O4 + 2Al
- Now you have 4 Al atoms on the right side, so put a coefficient of 2 in front of Al2O3 on the left side to balance the Al atoms: 2Al2O3 + 3Fe → Fe3O4 + 2Al
- Now you have 4 O atoms on the left side, so put a coefficient of 3 in front of Fe3O4 on the right side to balance the O atoms: 2Al2O3 + 3Fe → 3Fe3O4 + 2Al
- Now you have 9 Fe atoms on the right side, so put a coefficient of 9 in front of Fe on the left side to balance the Fe atoms: 2Al2O3 + 9Fe → 3Fe3O4 + 2Al
- Finally, you have 6 Al atoms on the right side, so put a coefficient of 6 in front of Al on the right side to balance the Al atoms: 2Al2O3 + 9Fe → 3Fe3O4 + 6Al
So, the balanced equation is 2Al2O3 + 9Fe → 3Fe3O4 + 6Al, which corresponds to option D.3, 9, 3, 6.
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