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Atomic Foundations of Matter

Molecular and formula unit mass

Work out the mass of a molecule or a formula unit.

Molecular mass = the total of the atomic masses of all the atoms in one molecule. Use H = 1, C = 12, N = 14, O = 16 (in u).

  • H₂O = 2 × 1 + 16 = 18 u.
  • CO₂ = 12 + 2 × 16 = 44 u.
  • HNO₃ = 1 + 14 + 3 × 16 = 63 u.
  • CH₄ = 12 + 4 × 1 = 16 u.

Ionic compounds are different. They form 3-D crystals, not separate molecules, so we must not call NaCl a molecule. Instead we use the simplest whole-number ratio of its ions, the formula unit, and its mass is the formula unit mass.

  • Na₂O = 2 × 23 + 16 = 62 u.
  • KCl = 39 + 35.5 = 74.5 u.

Brackets multiply everything inside them:

  • Ca(NO₃)₂ = 40 + 2 × (14 + 3 × 16) = 40 + 2 × 62 = 164 u.
  • Mg(OH)₂ = 24 + 2 × (16 + 1) = 58 u.

Counting particles in ions. An ion has the same protons as its atom but a different number of electrons:

  • Na⁺: 11 protons, 10 electrons (lost one).
  • Br⁻: 35 protons, 36 electrons (gained one).
  • Hg²⁺: 80 protons, 78 electrons (lost two).
Add up the masses of all the atoms; anything in brackets is multiplied by the number outside.
Molecular mass is the sum of the atomic masses.

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