Answer :
Answer: The average atomic mass of the element is 6.95 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:
[tex]\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i[/tex] .....(1)
We are given:
Mass of isotope 1 = 7.02 amu
Percentage abundance of isotope 1 = 92.6 %
Fractional abundance of isotope 1 = 0.926
Mass of isotope 2 = 6.02 amu
Percentage abundance of isotope 2 = 7.42 %
Fractional abundance of isotope 2 = 0.0742
Putting values in equation 1, we get:
[tex]\text{Average atomic mass of element}=[(7.02\times 0.926)+(6.02\times 0.0742)][/tex]
[tex]\text{Average atomic mass of element}=6.95amu[/tex]
Hence, the average atomic mass of the element is 6.95 amu