# Relative atomic mass • recall what is meant by relative atomic mass
• calculate relative atomic masses from isotopic abundances.

### What is relative atomic mass?

The relative atomic mass of an element is the weighted mean mass of its atoms compared to 112th the mass of a 12C atom. It is given the symbol Ar. You can often find Ar values on periodic tables, but take care – they are not mass numbers.

Relative atomic masses have no units. This is because they are comparisons. You do not need to know the actual masses of atoms to use relative atomic masses. This is just as well because the mass of a 12C atom is only 1.99 × 10–26 kg. You do not need to know the mass of a small stone to work out that the mass of the large stone is about four times greater

You can only know the mass number of an atom if you:

• are given it, for example in a question, or
• analyse its isotopic symbol.

For example, the mass number of $$\ce{^{7}_{3}\displaystyle\small\textsf{Li}}$$ is 7. This happens to be the Ar for lithium, as shown in the periodic table below. However, the Ar for lithium is actually 6.94 because:

• lithium consists of two isotopes, $$\ce{^{6}_{3}\displaystyle\small\textsf{Li}}$$ and $$\ce{^{7}_{3}\displaystyle\small\textsf{Li}}$$, and
• the value in the periodic table above is rounded to the nearest whole number.

The periodic table used in the OCR GCSE specification shows all relative atomic masses to 1 decimal place (and at the bottom of each box rather than at the top). In this periodic table, the relative atomic mass of lithium is shown as 6.9 because it has been been rounded to 1 decimal place rather than to a whole number.

### Calculating relative atomic mass

You can calculate the relative atomic mass of an element if you know:

• the mass numbers of its isotopes
• the percentage abundance of each isotope.

This is Higher Tier only in some GCSE specifications – check yours.

#### Worked example

A sample of bromine contains two different isotopes, as shown in the table. Calculate the relative atomic mass of bromine. Give your answer to 1 decimal place.

IsotopeMass numberPercentage abundance
79Br7950.7
81Br8149.3