Respuesta :
Answer: The average atomic mass of the element is 283.291 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)
- For isotope 1:
Mass of isotope 1 = 281.99481 amu
Percentage abundance of isotope 1 = 60.795 %
Fractional abundance of isotope 1 = 0.60795
- For isotope 2:
Mass of isotope 2 = 283.99570 amu
Percentage abundance of isotope 2 = 22.122 %
Fractional abundance of isotope 2 = 0.22122
- For isotope 3:
Mass of isotope 3 = 286.99423 amu
Percentage abundance of isotope 3 = [100 - (60.795 + 22.122)] = 17.083 %
Fractional abundance of isotope 1 = 0.17083
Putting values in equation 1, we get:
[tex]\text{Average atomic mass of element}=[(281.99481\times 0.60795)+(283.99570\times 0.22122)+(286.99423\times 0.17083)]\\\\\text{Average atomic mass of element}=283.291amu[/tex]
Hence, the average atomic mass of the element is 283.291 amu
