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3.1 - Relative Formula Mass

Sep 2, 2025

Overview

This lecture explains how to calculate relative formula mass (Mr) and percentage mass of elements in compounds, with worked examples.

Relative Formula Mass (Mr)

  • Relative formula mass (Mr) is the total of the relative atomic masses (Ar) of all atoms in a compound’s formula.
  • Relative atomic mass (Ar) is the weighted average mass of all isotopes of an element.
  • To calculate Mr, add up the Ar values of each atom in the compound, each multiplied by the number of atoms present.
  • Example: MgCl₂ — Mr = 24 (Mg) + 2 × 35.5 (Cl) = 95.
  • Example: H₂SO₄ — Mr = 2 × 1 (H) + 1 × 32 (S) + 4 × 16 (O) = 98.

Calculating Percentage Mass of an Element in a Compound

  • Percentage mass = (Ar of element × number of atoms) ÷ Mr of compound × 100.
  • Example: Sulfur in H₂SO₄: (32 × 1) ÷ 98 × 100 = 32.7%.
  • Example: Oxygen in Ca(OH)₂: (16 × 2) ÷ 74 × 100 = 43.2%.

Key Terms & Definitions

  • Relative atomic mass (Ar) — The average mass of an element's isotopes, weighted by natural abundance.
  • Relative formula mass (Mr) — The sum of the relative atomic masses of the atoms in a compound's formula.
  • Isotope — Atoms of the same element with different numbers of neutrons.

Action Items / Next Steps

  • Practice calculating Mr and percentage mass for other compounds as homework.
  • Review periodic table values for Ar for common elements.