Lesson 10 of 40 · Chemistry

Inorganic compounds, formulas and names

Build neutral formulas from ions, distinguish oxides, hydroxides, acids and salts, and use names to recover composition.

About 18 minutes

In this lesson

  • Write neutral ionic formulas from charges.
  • Distinguish major inorganic compound families.
  • Connect variable oxidation states with compound names.

The idea

A formula is an accounting statement

A chemical formula identifies the elements present and their relative numbers. For a simple ionic solid it normally gives the smallest whole-number ratio of ions, rather than a separate molecule floating inside the lattice. The total positive and negative charges must balance. Begin with known ionic charges, find counts that cancel and then reduce those counts if necessary. The formula does not give permission to alter an ion internally: a sulphate ion remains a group containing one sulphur and four oxygen atoms.

For calcium and chloride, one calcium ion has charge +2 and each chloride has charge −1, so two chloride ions accompany one calcium ion. For aluminium and sulphate, the charges are +3 and −2. Two aluminium ions and three sulphate ions balance six units of each sign. Parentheses show that a subscript applies to a complete polyatomic ion. Without parentheses, the reader may interpret the subscript as applying only to the immediately preceding element, changing the composition.

Distinguish compound families by composition and behaviour

Oxides contain oxygen combined with another element. In many ordinary oxides, oxygen has oxidation number −2. Metal oxides often show basic behaviour, while many non-metal oxides react with water or bases in ways associated with acids. These are trends, not universal rules. Some oxides are amphoteric and can react with both acids and bases. Peroxides contain an oxygen–oxygen unit with a different oxidation-number pattern, so do not apply the ordinary-oxide rule to every oxygen-containing compound without checking its class.

Hydroxides contain the hydroxide ion, OH−, associated with a cation. For example, a +2 metal ion requires two hydroxide ions. The hydroxide group is not equivalent to an oxygen atom carrying two negative charges, and its hydrogen must not disappear when building the formula. Many hydroxides behave as bases, though their solubilities differ. A compound's basic character and the amount that dissolves in water are separate properties: poor solubility does not mean that its formula has ceased to contain hydroxide.

Acids can donate protons in the Brønsted description. Some contain oxygen, while binary acids such as hydrogen chloride do not. In aqueous solution, hydrogen chloride transfers a proton to water, forming hydronium and chloride. The molecular substance and its aqueous acidic solution require attention to context. Do not identify every hydrogen-containing compound as an acid solely because an H appears in its formula. The ability to transfer a proton depends on bonding and the surrounding reaction partners.

Salts consist of cations and anions and can be formed in acid–base reactions, among other routes. A simple neutralisation combines acid and base to produce salt and water. Balancing still requires conservation of every atom. For instance, an acid supplying one proton per molecule needs two molecules to neutralise a hydroxide containing two hydroxide groups. The word salt does not mean only sodium chloride, nor does it guarantee that every salt solution has pH seven. Some ions react with water and alter its acidity.

Read names as structural clues

An ionic name normally states the cation followed by the anion. A Roman numeral in a metal name specifies its oxidation state, not the number of metal atoms. Iron(III) chloride therefore combines iron in the +3 state with chloride in the −1 state. Three chloride ions balance one iron ion. Iron(II) chloride uses a different ratio because the iron state is +2. Recover the charges from the name before writing subscripts.

Molecular compound names can use prefixes to show atom counts, as in carbon dioxide. These prefixes and Roman oxidation-state numerals do different jobs. When a question supplies a formula, count atoms directly, treating a bracketed group as a unit multiplied by its outer subscript. When it supplies charges, derive the ratio. Finally check neutrality and the stated compound family. This two-way translation between name, formula and charge is a stronger method than remembering a list of isolated formulas.

Worked examples

Example 1: A polyatomic anion

Write the neutral formula from aluminium ions Al3+ and sulphate ions SO4 with charge −2.

  1. The lowest common charge magnitude is six: use two aluminium ions and three sulphate ions.

  2. Put the sulphate group in parentheses so its outer subscript multiplies the entire ion.

Answer

The formula is Al2(SO4)3\mathrm{Al_2(SO_4)_3}, containing twelve oxygen atoms per formula unit.

Example 2: Reading an oxidation-state name

Write the formula of iron(III) chloride using chloride charge −1.

  1. The Roman numeral specifies iron in oxidation state +3.

  2. Three chloride ions balance one iron ion, giving the smallest neutral ratio.

Answer

The formula is FeCl3\mathrm{FeCl_3}. The III does not require three iron atoms.

Common traps

  • Dropping parentheses around a repeated ion

    Two hydroxide ions require the entire OH group twice. Use parentheses so both oxygen and hydrogen are multiplied.

  • Making every salt solution neutral

    Some salt ions react with water. Classify the compound as a salt separately from predicting the pH of its solution.

Check yourself

Answer each question before you open its answer.

Question 1: Inorganic compounds

Inorganic compounds

What is the neutral formula formed by Mg2+ and hydroxide OH−?

  1. A.MgOH\mathrm{MgOH}
  2. B.Mg(OH)2\mathrm{Mg(OH)_2}
  3. C.Mg2OH\mathrm{Mg_2OH}
  4. D.MgO2\mathrm{MgO_2}
  5. E.Mg2(OH)2\mathrm{Mg_2(OH)_2}
Show the answer

Answer: B. Mg(OH)2\mathrm{Mg(OH)_2}

Working

One magnesium ion supplies +2 and two hydroxide ions supply −2. Parentheses preserve each hydroxide group.

Why the other options are wrong

  • A. One hydroxide leaves one unit of positive charge unbalanced.
  • C. Two magnesium ions need four hydroxide ions, not one.
  • D. This drops the hydrogen atoms from the hydroxide ions.
  • E. Two hydroxide ions cannot balance two doubly positive magnesium ions.

What carries over

Balance charges without changing the identity of a polyatomic ion.

Question 2: Inorganic nomenclature

Inorganic nomenclature

In the name iron(II) oxide, what does II specify?

  1. A.Two oxygen atoms
  2. B.Two iron atoms in every formula
  3. C.Iron oxidation state +2
  4. D.An ionic charge of −2 on iron
  5. E.Two molecules of oxide
Show the answer

Answer: C. Iron oxidation state +2

Working

The Roman numeral specifies iron in oxidation state +2. Combining this with ordinary oxide oxygen at −2 gives the ratio FeO.

Why the other options are wrong

  • A. The numeral refers to the metal oxidation state rather than an oxygen count.
  • B. The numeral does not directly specify a subscript.
  • D. The metal state is positive in this compound.
  • E. An oxidation-state numeral is not a reaction coefficient.

What carries over

Separate oxidation-state notation from atom-count notation.

Question 3: Chemical formulas

Chemical formulas

How many oxygen atoms occur in one formula unit of Ca3(PO4)2\mathrm{Ca_3(PO_4)_2}?

  1. A.2
  2. B.4
  3. C.6
  4. D.8
  5. E.12
Show the answer

Answer: D. 8

Working

Each phosphate group contains four oxygen atoms and the formula contains two such groups, giving eight oxygen atoms.

Why the other options are wrong

  • A. This counts phosphate groups rather than their oxygen atoms.
  • B. This counts oxygen in only one phosphate group.
  • C. This multiplies calcium count by the number of phosphate groups.
  • E. This multiplies by the calcium subscript, which does not apply to phosphate.

What carries over

Apply an outer subscript to every atom within its parentheses.

Key points

  • Ionic formulas must balance total charge.

  • Keep a polyatomic ion intact when assigning its count.

  • Oxides, hydroxides, acids and salts have distinct composition patterns.

  • Roman numerals specify oxidation state rather than atom count.

All questions here are original and written for UniExamer; none comes from the test maker.

Written by the UniExamer team with AI assistance. Every worked example and check question was re-solved by an independent checker before publication. No subject expert has reviewed this lesson yet. If you find a mistake, write to support@uniexamer.com.

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