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Iron(III) Oxide Formula and Charge Balance

What is the formula for iron(III) oxide, and how is it obtained from the charges of iron(III) and oxide ions?

Subject: General Chemistry Chapter: Chemical Compounds Topic: Naming Binary Compounds of Metals and Nonmetals Answer included
iron iii oxide iron(III) oxide formula Fe2O3 ionic compound formula charge balance oxidation state Roman numeral naming Fe3+ ion
Accepted answer Answer included

The name iron(III) oxide indicates a binary ionic compound made of iron cations with a +3 charge and oxide anions with a −2 charge. The task is to choose subscripts that make the total charge zero.

Result: Fe2O3 (often called ferric oxide).

1) Translate the name into ion charges

Part of the name Meaning Ion formed
iron(III) Iron has oxidation state +3 (Roman numeral III means +3 for the metal cation) Fe3+
oxide Oxygen as a monatomic anion has charge −2 O2−

2) Balance charges to make a neutral compound

  1. Identify charges: Fe3+ contributes \(+3\) each, and O2− contributes \(−2\) each.
  2. Find a common total charge magnitude so positives and negatives can cancel. The least common multiple of 3 and 2 is 6.
  3. Choose ion counts to reach \(+6\) and \(−6\): \[ 2 \times (+3) = +6 \quad \text{and} \quad 3 \times (-2) = -6. \]
  4. Write subscripts from the ion counts: 2 iron ions and 3 oxide ions gives Fe2O3.

3) Quick verification using oxidation states

A neutral formula must satisfy total charge \(= 0\). For Fe2O3:

\[ 2(+3) + 3(-2) = +6 - 6 = 0. \]

4) Visualization: charge-neutrality ratio for iron(III) oxide

Charge balance for iron(III) oxide (Fe2O3) Two Fe3+ ions and three O2- ions are shown. Totals +6 and -6 are indicated to illustrate why the neutral formula is Fe2O3. Cations 2 × Fe3+ Anions 3 × O2− Fe 3+ Fe 3+ O 2− O 2− O 2− charge neutrality \(2 \times (+3) = +6\) balances \(3 \times (-2) = -6\) Formula: Fe2O3
Two Fe3+ ions supply \(+6\) total charge and three O2− ions supply \(−6\), so the smallest neutral ratio produces Fe2O3.

5) Common comparison (to avoid confusion)

Compound name Formula Iron oxidation state(s)
iron(II) oxide FeO +2
iron(III) oxide Fe2O3 +3
iron(II,III) oxide Fe3O4 mixture of +2 and +3

The correct formula for iron(III) oxide follows directly from ion charges: Fe3+ and O2− must combine in the smallest whole-number ratio that makes total charge zero, giving Fe2O3.

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