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Average Atomic Mass Calculator

Enter the percentage and masses for the number of isotops selected and the calculator will show complete work for average atomic mass.

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amu

Decimal

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amu
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The average atomic mass calculator helps you determine the average atomic mass of an element using the masses of its isotopes and their natural abundances. It quickly calculates the weighted average and provides accurate results.

What is Average Atomic Mass?

“Average atomic mass is the weighted average of all naturally occurring isotopes of an element.”

It is sometimes referred to as the atomic weight of an element. Since most elements exist as a mixture of isotopes, their atomic masses on the periodic table are usually decimal values rather than whole numbers.

Examples:

  • Hydrogen has three isotopes: Protium (¹H), Deuterium (²H), and Tritium (³H).
  • Carbon has isotopes: C-12, C-13, and C-14.
  • Chlorine has two major isotopes: Cl-35 and Cl-37.

Because isotopes have different masses but the same atomic number, we calculate a weighted average based on their relative abundance to find the average atomic mass.

Average Atomic Mass Formula:

Average Atomic Mass = (f₁ × m₁) + (f₂ × m₂) + ... + (fₙ × mₙ)

Where:

  • f = fractional abundance of each isotope (percentage ÷ 100)
  • m = isotopic mass (amu)

Example (Chlorine):

Chlorine has two naturally occurring isotopes:

  • Cl-35 → Mass = 35 amu, Abundance = 75.77%
  • Cl-37 → Mass = 37 amu, Abundance = 24.23%

Solution:

First, convert percentages into decimal form:

75.77% = 0.7577

24.23% = 0.2423

Average Atomic Mass = (0.7577 × 35) + (0.2423 × 37)

= 26.5195 + 8.9651

= 35.48 amu

Therefore, the average atomic mass of chlorine is approximately 35.48 amu, which matches the value listed on the periodic table.

The online average atomic mass calculator performs these steps automatically and ensures accurate weighted calculations.

Average Atomic Masses Table

The following table lists the average atomic masses of the first 30 elements:

ATOMIC NUMBER ELEMENT AVERAGE ATOMIC MASS (amu)
1 Hydrogen 1.008
2 Helium 4.0026
3 Lithium 6.94
4 Beryllium 9.0122
5 Boron 10.81
6 Carbon 12.011
7 Nitrogen 14.007
8 Oxygen 15.999
9 Fluorine 18.998
10 Neon 20.180
11 Sodium 22.990
12 Magnesium 24.305
13 Aluminium 26.982
14 Silicon 28.085
15 Phosphorus 30.974
16 Sulfur 32.06
17 Chlorine 35.45
18 Argon 39.948
19 Potassium 39.098
20 Calcium 40.078
21 Scandium 44.956
22 Titanium 47.867
23 Vanadium 50.942
24 Chromium 51.996
25 Manganese 54.938
26 Iron 55.845
27 Cobalt 58.933
28 Nickel 58.693
29 Copper 63.546
30 Zinc 65.38

How the Average Atomic Mass Calculator Works

Input:

  • Select the number of isotopes.
  • Enter the isotopic mass of each isotope.
  • Enter the percentage (or decimal) abundance of each isotope.
  • Click “Calculate”.

Output:

  • Average atomic mass in amu.
  • Step-by-step weighted calculation.

FAQs

Why is atomic mass not a whole number?

Atomic mass is usually a decimal because it represents the weighted average of all naturally occurring isotopes of an element.

What are isotopes?

Isotopes are atoms of the same element that have the same number of protons but different numbers of neutrons, resulting in different masses.

What is fractional abundance?

Fractional abundance is the decimal form of an isotope’s natural percentage in a sample (percentage ÷ 100).

References

  • Periodic table atomic mass data (IUPAC standard values)
  • Average atomic mass calculation methods in general chemistry
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