Average Atomic Mass Calculator

Weighted average atomic mass from isotope masses and percent abundances, or the abundances from the average.

Average atomic mass = Σ(isotope mass × fractional abundance). Chlorine: 34.969 × 0.7576 + 36.966 × 0.2424 = 35.45 u.

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How to use it

  1. Enter each isotope's mass (in u) and its abundance in percent, or pick a preset element.
  2. Add rows for elements with more than two isotopes.
  3. To find abundances, use the reverse section with the average and two isotope masses.

What you enter

What you get

Formula

Ā = Σ mᵢ × (abundanceᵢ / 100) | Two isotopes: x₁ = (Ā − m₂) / (m₁ − m₂)

Worked example: chlorine

Input: ³⁵Cl 34.96885 u at 75.76%, ³⁷Cl 36.96590 u at 24.24%

Result: 35.45 u

Matches the periodic table value because ³⁵Cl is three times as common.

Questions

How do you calculate average atomic mass?

Multiply each isotope's mass by its abundance as a decimal (75.76% is 0.7576) and add the results.

How do I find percent abundance from the average atomic mass?

For two isotopes, let x be the fraction of isotope 1: x = (average − m₂) ÷ (m₁ − m₂). Copper's 63.546 average gives 69.15% copper-63.

Why isn't atomic mass a whole number?

It is a weighted average of several isotopes, and each isotope's mass differs slightly from its mass number because of nuclear binding energy.

Is average atomic mass the same as molar mass?

Numerically yes: an average atomic mass of 35.45 u means a molar mass of 35.45 g/mol.

Limitations

References

More Chemistry

All free tools · By Dr. Zubair Khalid, DVM, MS, PhD.