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Isotopes and relative atomic mass

Isotopes are atoms of the same element with different numbers of neutrons. Relative atomic mass is a weighted mean of isotopic masses according to their abundances.

The idea

Isotopes have the same atomic number but different mass numbers. Their chemical behaviour is broadly similar because neutral atoms have the same electron arrangement. Calculate a weighted mean by multiplying each isotopic mass by its fractional abundance and adding the results. Relative atomic mass is a ratio and has no unit; mass number is a count for one isotope.

Worked example

A sample contains 75% atoms with isotopic mass 35 and 25% with isotopic mass 37. Find its relative atomic mass using these values.

  1. Convert percentages to fractions: 0.75 and 0.25.
  2. Weighted mean = (35 × 0.75) + (37 × 0.25).
  3. Relative atomic mass = 35.5.

A mistake to avoid

Taking the simple average gives the correct result only when the two isotopes are equally abundant. Real isotope masses may also differ slightly from integer mass numbers.

Check your understanding

What differs between carbon-12 and carbon-14?

Show the explanation

Both have 6 protons. Carbon-12 has 6 neutrons and carbon-14 has 8 neutrons.

Explore the lesson

This guide connects to Same Element, Different Atom — Isotopes in the IB Chemistry course. The first two published lessons per subject are free previews; further interactive lessons require an account.

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