Answer: The atomic weight of the metal would be 85.47.
Explanation:
Mass of isotope 1 of metal = 84.9118
% abundance of isotope 1 of metal = 72.15% = [tex]\frac{72.15}{100}[/tex]
Mass of isotope 2 of metal= 86.9092
% abundance of isotope 2 of metal = 27.85% = [tex]\frac{27.85}{100}[/tex]
Formula used for average atomic mass of an element :
[tex]\text{ Average atomic mass of an element}=\sum(\text{atomic mass of an isotopes}\times {{\text { fractional abundance}})[/tex]
[tex]A=\sum[(84.9118)\times \frac{72.15}{100})+(86.9092)\times \frac{27.85}{100}]][/tex]
[tex]A=85.47[/tex]
Therefore, the atomic weight of the metal would be 85.47.