Explain why the empirical formula mass and the molar mass of a compound are not always equal, and outline how a chemist could use the molar mass of a compound, determined experimentally, to find its molecular formula from its empirical formula.

IB DP Chemistry Higher Level (2023 syllabus) — S1.4 Counting particles by mass: The mole · Explain · 4 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

Model answer (4 marks)

The empirical formula gives only the simplest whole‑number ratio of atoms in a compound, so its mass is the mass of one mole of that simplest formula.

The actual compound may contain several of these empirical units; its molar mass is therefore a whole‑number multiple (n) of the empirical formula mass.

A chemist finds n by dividing the experimentally determined molar mass by the empirical formula mass.

Multiplying every subscript in the empirical formula by n gives the molecular formula.

Examiner tips

  • Use the word ‘whole‑number multiple’ to show understanding of n.
  • Show the calculation n = M_experimental ÷ M_empirical.
  • Explain that the empirical formula mass is the mass of one mole of the empirical units.
  • State that the molecular formula is obtained by multiplying all subscripts by n.

Common mistakes

  • Confusing empirical formula mass with molar mass of the compound.
  • Using a fractional n instead of a whole number.
  • Failing to show the division step to find n.

Mark scheme (4 marks)

  1. The empirical formula gives only the simplest whole-number ratio of atoms in a compound, not necessarily the actual number of atoms per molecule.
  2. The molar mass of the molecular compound is a whole-number multiple (n) of the empirical formula mass.
  3. The value of n is calculated by dividing the experimentally determined molar mass by the empirical formula mass.
  4. The molecular formula is then obtained by multiplying all subscripts in the empirical formula by n.

Key terms in this question

empirical formula · molecular formula · molar mass · empirical formula mass

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