What is how to find atomic mass?

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Finding Atomic Mass

Atomic mass refers to the mass of a single atom of an element. However, what's typically used is the relative atomic mass, often called atomic weight. This is a dimensionless quantity showing how heavy the average atom of an element is, relative to 1/12 the mass of a carbon-12 atom. Since most elements exist as a mixture of isotopes, the atomic mass found on the periodic table is a weighted average of the masses of these isotopes.

Here's how to find the atomic mass of an element:

  1. Understand Isotopes: An isotope is a variant of an element that has the same number of protons but a different number of neutrons. This means isotopes have different masses.

  2. Know Isotopic Masses: You'll need to know the mass of each isotope of the element. These masses are usually given in atomic mass units (amu).

  3. Know Isotopic Abundances: You also need to know the natural abundance of each isotope. This is the percentage of atoms of that element that exist as that particular isotope in nature.

  4. Calculate the Weighted Average: Multiply the mass of each isotope by its abundance (expressed as a decimal).

  5. Sum the Results: Add up the results from step 4 for all the isotopes. The result is the atomic mass, usually expressed in atomic mass units (amu).

Formula:

Atomic Mass = (Mass of Isotope 1 × Abundance of Isotope 1) + (Mass of Isotope 2 × Abundance of Isotope 2) + ...

Example:

Let's say you want to find the atomic mass of chlorine (Cl). Chlorine has two major isotopes:

  • Chlorine-35 (34.969 amu), with an abundance of 75.77% (0.7577)
  • Chlorine-37 (36.966 amu), with an abundance of 24.23% (0.2423)

Atomic Mass of Cl = (34.969 amu × 0.7577) + (36.966 amu × 0.2423) = 26.496 amu + 8.957 amu = 35.453 amu

Therefore, the atomic mass of chlorine is approximately 35.45 amu. The periodic table value is rounded to two decimal places at 35.45 amu.

Important Notes:

  • The atomic masses listed on the periodic table are weighted averages calculated in this way.
  • Atomic mass is different from mass number, which is simply the number of protons and neutrons in a specific atom of an element.
  • The term relative atomic mass is preferred to the term atomic weight by some.