Weighted Average Formula:
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The weighted average atomic mass accounts for the relative abundances of different isotopes of an element. Since isotopes occur with different frequencies in nature, the average atomic mass is calculated by weighting each isotope's mass by its natural abundance.
The calculator uses the weighted average formula:
Where:
Explanation: Each isotope's contribution to the average mass is proportional to how frequently it occurs in nature.
Details: The weighted average atomic mass is what appears on the periodic table and is essential for accurate chemical calculations, as it reflects the actual mass distribution of isotopes in natural samples.
Tips: Enter isotope masses in atomic mass units (amu) and their corresponding abundances as percentages. The total abundance should not exceed 100%.
Q1: Why don't we use simple average of isotope masses?
A: Simple average would give equal weight to all isotopes, ignoring their actual natural occurrence rates, leading to incorrect mass values.
Q2: How many isotopes can I calculate for?
A: This calculator handles two isotopes, but the formula can be extended to any number of isotopes.
Q3: What if my abundances don't add up to 100%?
A: The calculator will show an error. The sum of all isotope abundances must equal 100% for accurate results.
Q4: Where can I find isotope abundance data?
A: Isotope abundances are available in chemistry references, periodic tables with detailed element data, and nuclear physics resources.
Q5: Why are some atomic masses on the periodic table not whole numbers?
A: The values are weighted averages of all naturally occurring isotopes, which typically results in non-integer masses.