Calculating relative atomic mass

The carbon-12 atom, \(_{6}^{12}\textrm{C}\) is the standard atom against which the masses of other atoms are compared. The of an element is the average mass of its atoms, compared to 1/12th the mass of a carbon-12 atom. The relative atomic mass, A_r, of an element is calculated from:

the of its isotopes
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, A_r, of chlorine:

\(A_{r} = \frac{total~mass~of~atoms}{total~number~of~atoms} = \frac{(75 \times 35)+(25 \times 37)}{(75+25)}\)

\(A_{r} = \frac{2625+925}{100} = \frac{3550}{100}\)

\(A_{r} = 35.5\) (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 number	Abundance
63	69%
65	31%

Mass number	63
Abundance	69%

Mass number	65
Abundance	31%

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

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Atomic structure - AQACalculating relative atomic mass