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K326 / K328 / 2027
Chemical Calculations

Lesson 1 of 5

Read and construct formulae

Subscripts count atoms; ion charges determine ratios.

O-Level 5086 / 5088 (2026) / SEC G3 K326 / K328 (2027)

  • I can use chemical symbols and formulae.Syllabus

    Syllabus K326 / K328, 4.1(a). Use chemical symbols and formulae

  • I can translate atom counts and formulae.Syllabus

    Syllabus K326 / K328, 4.1(b). Translate atom counts and formulae

  • I can balance ion charges to obtain formulae.Syllabus

    Syllabus K326 / K328, 4.1(c). Balance ion charges to obtain formulae

Read and construct formulae

Subscripts count atoms; ion charges determine ratios.

An element symbol begins with a capital letter; a second letter is lower-case. Co is cobalt, while CO is carbon monoxide. In H2SO4, one formula unit contains 2 H, 1 S and 4 O atoms. Brackets multiply everything inside: Ca(OH)2 contains 1 Ca, 2 O and 2 H. A coefficient multiplies the entire formula: 3H2O represents six H atoms and three O atoms.

Worked exampleFrom atom counts to a formula

A model molecule contains two nitrogen atoms and four oxygen atoms. What is its formula, and how many oxygen atoms are in three molecules?

Try it first. Then show the worked stepsHide the worked steps
  1. Write N and O with the atom counts as subscripts: N2O4.
  2. Three molecules contain 3 x 4 = 12 oxygen atoms. Do not simplify N2O4 to NO2 when the actual atoms in one molecule are specified.
Answer

N2O4; 12 oxygen atoms in three molecules. A coefficient counts complete molecules; a subscript counts atoms within one.

A working symbol and formula bank
FamilySymbols or formulae
Common non-metalsH, C, N, O, F, P, S, Cl, Br, I; elemental gases H2, N2, O2, Cl2
Metals and other elementsLi, Na, K, Mg, Ca, Al, Zn, Fe, Cu, Ag, Pb; Si, He, Ne, Ar
Acids, alkalis and gasesHCl, HNO3, H2SO4, NaOH, Ca(OH)2, NH3, CO, CO2, SO2, NO, NO2, O3
Common salts and reagentsNaCl, MgCl2, CaCO3, CuSO4, AgNO3, Ba(NO3)2, KI, KMnO4
Oxides and organic examplesCaO, MgO, CuO, SiO2; CH4, C2H4, C2H5OH, CH3COOH

An ionic formula must have zero total charge. Al3+ and O2- balance at +6 and -6, giving Al2O3. Mg2+ and NO3- give Mg(NO3)2. Keep a polyatomic ion intact; use brackets only when more than one is needed.

Frequently used ion charges
Positive ionsNegative ions
Na+, K+, Ag+, NH4+Cl-, Br-, I-, OH-, NO3-
Mg2+, Ca2+, Zn2+, Cu2+, Fe2+, Pb2+O2-, CO32-, SO42-
Al3+, Fe3+A Roman numeral gives a metal ion oxidation state; distinguish iron(II) from iron(III).

Check your understanding

A compound has the formula XCl3, and each chloride ion is Cl-. What is the charge on X?

  1. 3+, because three Cl- ions give -3 and the compound is neutral
  2. 3-, because the subscript 3 is the charge on the X ion
  3. 1+, because a metal ion in a chloride is like Na+ in NaCl
Show the answer

3+, because three Cl- ions give -3 and the compound is neutral

Charges in an ionic compound add up to zero. Three Cl- ions contribute -3, so the one X ion must be X3+.