Question

Show a correct numerical setup for calculating the average atomic mass of sulfur

Answer 1

avg. atomic mass=∑i(isotopei×abundancei)

Answer 2

• The average atomic mass for an element is calculated by summing the masses of the element's isotopes, each multiplied by its natural abundance on Earth.
• The average atomic mass of sulfur will be calculated using the given atomic masses of its four isotopes and their respective decimal abundance, which is simply the percent abundance divided by 100.

$^{32} S$:   31.972 u  →  95.002  %   abundance

$^{33} S$:  32.971 u →  0.76 %  abundance

$^{34}S$:   33.967 u  →  4.22  %  abundance

$^{36} S$:   35.967 u  →  0.014  %  abundance

$\text{avg. atomic mass}=31.972 u * 0.95002+ 32.971 u*0.0076+33.967 u*0.0422+35.967 u*0.00014\\\\\text{avg. atomic mass}=32.063 u$

Thus, the average atomic mass of sulfur is 32.063 u.

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