The atomic mass of chlorine is found by calculating the weighted average of the masses of its naturally occurring isotopes.
Here's a breakdown of how to calculate it:
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Identify the Isotopes: Chlorine has two major naturally occurring isotopes: chlorine-35 (35Cl) and chlorine-37 (37Cl).
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Determine Isotopic Abundances: You need to know the relative abundance (percentage) of each isotope. Typically, these are:
- Chlorine-35 (35Cl): approximately 75.76%
- Chlorine-37 (37Cl): approximately 24.24%
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Determine Isotopic Masses: You need to know the mass of each isotope. These are very close to their mass numbers:
- Chlorine-35 (35Cl): approximately 34.969 atomic mass units (amu)
- Chlorine-37 (37Cl): approximately 36.966 amu
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Calculate the Weighted Average: Multiply the mass of each isotope by its relative abundance (expressed as a decimal) and then add the results.
Atomic Mass of Chlorine = (Mass of 35Cl * Abundance of 35Cl) + (Mass of 37Cl * Abundance of 37Cl)
Atomic Mass of Chlorine = (34.969 amu * 0.7576) + (36.966 amu * 0.2424)
Atomic Mass of Chlorine ≈ 26.494 amu + 8.959 amu
Atomic Mass of Chlorine ≈ 35.453 amu
Therefore, the atomic mass of chlorine is approximately 35.45 amu. This value is what is generally found on the periodic table.