Subjective Type

What is the average atomic mass of silicon? Given the following data, calculate the average atomic mass of silicon. isotope = Si-28 amu =27.9769 abundance(%) =92.18 isotope = Si-29 amu =28.9765 abundance(%) =4.71 isotope =Si-30 amu =29.9738 abundance(%) =3.12

Solution

Answer
Multiply the amu by the percentage of occurrence to arrive at an average atomic mass of 28.0891
Explanation:
We take the amu of each isotope, multiply it by the percentage of occurrence, and end up with a weighted average:
$$ 27.9769 \times 9218 + 28.9765 \times .0471 + 29.9738 \times 0312 $$(quick note - there is a bit of rounding in here - the abundance percentages add up to 1.01, so the number we calculate is going to be slightly off).
This simplifies to:
25.7891+1.3648+0.9352=28.0891
Checking "the internet" to verify our answer, I found 28.0855 u 0.0003 u, so the answer calculated for our question is pretty close.


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