Respuesta :
Answer: The average atomic mass of the element X is 51.99592 amu
Explanation:
Mass of isotope 1 = 49.94605 amu
% abundance of isotope 1 = 4.350% = [tex]\frac{4.350}{100}=0.0435[/tex]
Mass of isotope 2 = 51.94051 amu.
% abundance of isotope 2 = 83.79% = [tex]\frac{83.79}{100}=0.8379[/tex]
Mass of isotope 3 = 52.94065 amu.
% abundance of isotope 2 = 9.500% = [tex]\frac{9.500}{100}=0.095[/tex]
Mass of isotope 4 = 53.93888 amu.
% abundance of isotope 2 = 2.360% = [tex]\frac{2.360}{100}=0.0236[/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=(49.94605\times 0.0435)+(51.94051 \times 0.8379)+ (52.94065\times 0.095)+(53.93888\times 0.0236)[/tex]
[tex]A=51.99592amu[/tex]
Therefore, the average atomic mass of the element X is 51.99592 amu