Average Atomic Mass Calculator

Formula

The formula to calculate the Average Atomic Mass is:

\[ AM = f_1M_1 + f_2M_2 + \ldots + f_nM_n \]

Where:

\(AM\) is the Average Atomic Mass
\(f_n\) is the Fractional Percent of the Isotope
\(M_n\) is the Mass of the Isotope

What is Average Atomic Mass?

An average atomic mass is defined as the average mass of all isotopes within a given substance. It is calculated by multiplying the fractional percent of each isotope by the mass of the isotope and then summing these values together. This value provides a weighted average that reflects the natural abundance of each isotope.

Example Calculation

Let's assume the following values for two isotopes:

Isotope 1: Fractional Percent (\(f_1\)) = 0.75, Mass (\(M_1\)) = 35
Isotope 2: Fractional Percent (\(f_2\)) = 0.25, Mass (\(M_2\)) = 37

Using the formula:

\[ AM = (0.75 \times 35) + (0.25 \times 37) = 26.25 + 9.25 = 35.50 \]

The Average Atomic Mass (AM) is 35.50.