What is a, b and c in the balanced equation: aFe + bO2 = cFe2O3

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BlackTom AI · Accepted Answer

First, restating the problem in my own words: balance the chemical equation aFe + bO2 -> cFe2O3 and determine the coefficients a, b, and c.
Option a: a = 4, b = 3, c = 2.

- This set of coefficients matches the classic balanced equation for iron reacting with oxygen to form iron(III) oxide: 4 Fe + 3 O2 -> 2 Fe2O3. Checking atom counts: Fe: 4 on the left, 2×2 = 4 on the right; O: 3×2 = 6 on the left, 2×3 = 6 on the right. All elements balance, so this is a valid balance.

Option b: a = 2, b = 3, c = 1.

- If we substitute these into the equation, we get 2 Fe + 3 O2 -> Fe2O3. Counting atoms: Fe left = 2, Fe right = 2 (from Fe2O3), which seems fine for iron. Oxygen left = 3 × 2 = 6, Oxygen right = 3 in Fe2O3, which is 3, not 6. The oxygen atoms do not balance, so this set is invalid.

Option c: a = 2, b = 3, c = 2.

- Substituting yields 2 Fe + 3 O2 -> 2 Fe2O3. Atom counts: Fe left = 2, Fe right = 2×2 = 4, which is unbalanced for iron. Oxygen left = 6, Oxygen right = 2×3 = 6, which balances for oxygen, but the iron balance fails. Therefore this set is not a valid balance overall.

Option d: a = 3, b = 2, c = 1.

- Substituting gives 3 Fe + 2 O2 -> Fe2O3. Atom counts: Fe left = 3, Fe right = 2, which is unbalanced. Oxygen left = 2×2 = 4, Oxygen right = 3, also unbalanced. This option does not balance either element, so it is incorrect.

To summarize the balancing checks, the only set that satisfies conservation of both iron and oxygen is a = 4, b = 3, c = 2, corresponding to the balanced equation 4 Fe + 3 O2 -> 2 Fe2O3. The other options fail because they either misbalance iron, misbalance oxygen, or both, indicating inconsistent counts that violate the law of conservation of mass.

What is a, b and c in the balanced equation: aFe + bO2 = cFe2O3

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What is a, b and c in the balanced equation: aFe + bO2 = cFe2O3

查看解析

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类似问题

Write the balanced equation for the reaction of H3PO4 with Ba(OH)2. You can show this on your work page.

What is the coefficient for NaOH(aq) when the following equation is balanced? B2O3(s) + NaOH(aq) → Na3BO3(aq) + H2O(l)

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The following reaction is balanced. SiO2(s) + 3 C(s) ⟶ SiC(s) + 2 CO(g)

In the following reaction: pKAlSivO8 + qH2O + rH+ = sAl2Si2O5(OH)4 + tK+ + uH4SiO4

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