Chlorine has two naturally occurring isotopes: ^{35}_{17} Cl with a natural abundance of 75.77% and an isotopic mass of 34.969 amu, and ^{35}_{17} Cl with a natural abundance of 24.23% and an isotopic mass of 36.966 amu. What is the atomic mass of chlorine?
STRATEGY
The atomic mass of an element is the weighted average of the isotope masses, which equals the sum of the masses of each isotope times the natural abundance of that isotope:
Atomic mass = (\text{mass of} ^{35}_{17}Cl) (\text{Abundance of} ^{35}_{17} Cl) + (\text{mass of} ^{37}_{17}Cl) (\text{Abundance of} ^{37}_{17} Cl)
Atomic mass = (34.969 amu) (0.7577) + (36.966 amu) (0.2423) = 35.45 amu