An element has the following natural abundances and isotopic masses: 90.92% abundance with 19.99 amu, 0.26% abundance with 20.99 amu, and 8.82% abudance with 21.99 amu. calculate the average atomic mass of this elements.

The average atomic mass of element Z is 20.169 amu.

Explanation:

Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.

Formula used to calculate average atomic mass follows:

.....(1)

Mass of isotope 1 = 19.99 amu

Percentage abundance of isotope 1 = 90.92 %

Fractional abundance of isotope 1 = 0.9092

Mass of isotope 2 = 20.99 amu

Percentage abundance of isotope 2 = 0.26 %

Fractional abundance of isotope 2 = 0.0026

Mass of isotope 3 = 21.99 amu

Percentage abundance of isotope 3 = 8.82 %

Fractional abundance of isotope 3 = 0.0882

Putting values in equation 1, we get:

Hence, the average atomic mass of element Z is 20.169 amu.

it is stable as it is in group 0 which have full outer shells of electrons

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