The element lanthanum has an isotope with an atomic mass of 138. 9 amu and an abundance of 99. 91%. A second isotope has an atomic mass of 137. 9 amu and an abundance of 0. 9%. What is the average atomic mass of lanthanum?.



Answer :

The average atomic mass of lanthanum that has an isotope with an atomic mass of 138.9 amu and an abundance of 99.9 1% and a second isotope with an atomic mass of 137.9 amu and an abundance of 0.09 % is

Average atomic m = Sum of product of atomic m and % abundance /  100

For isotope 1,

Atomic mass = 138.9 amu

% abundance = 99.91 %

For isotope 2,

Atomic mass = 137.9 amu

% abundance = 0.09 %

Average atomic mass = ( 138.9 * 99.91 ) + ( 137.9 * 0.09 ) / 100

Average atomic mass = 13877.5 + 12.41 / 100

Average atomic mass = 138.9 amu

The average atomic mass or average atomic weight of an element is the weighted average mass or weight of atoms in a naturally occurring sample ( i.e., isotopes ) of the element.

Therefore, the average atomic mass of lanthanum is 138.9 amu

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