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Atomic structure - EdexcelCalculating relative atomic mass - Higher

Atoms consist of a nucleus containing protons and neutrons, surrounded by electrons in shells. The numbers of particles in an atom can be calculated from its atomic number and mass number.

Part of Chemistry (Single Science)Key concepts in chemistry

Calculating relative atomic mass - Higher

The , Ar, of an is calculated from:

  • the of its
  • the of these isotopes

Chlorine

Chlorine naturally exists as two isotopes, \(_{17}^{35}\textrm{Cl}\) (chlorine-35) and \(_{17}^{37}\textrm{Cl}\) (chlorine-37). The abundance of chlorine-35 is 75% and the abundance of chlorine-37 is 25%. In other words, in every 100 chlorine atoms, 75 atoms have a mass number of 35, and 25 atoms have a mass number of 37.

To calculate the relative atomic mass, Ar, of chlorine:

\(\textit{A}_\textup{r}=\frac{total~mass~of~atoms}{total~number~of~atoms}=\frac{(35\times75)+(37\times25)}{(75+25)}\)

\(\textit{A}_\textup{r}=\frac{2625+925}{100}=\frac{3550}{100}\)

\(\textit{A}_\textup{r} = 35.5\) (to 1 decimal place)

Notice that the answer is closer to 35 than it is to 37. This is because the chlorine-35 isotope is much more abundant than the chlorine-37 isotope.

Question

The table shows the mass numbers and abundances of naturally-occurring copper isotopes.

Mass numberAbundance
6369%
6531%
Mass number63
Abundance69%
Mass number65
Abundance31%

Calculate the relative atomic mass of copper. Give your answer to 1 decimal place.