Answer:
The percentage abundance of Eu isotopes are 52 % and 48 % .
Explanation:
The formula for the calculation of the average atomic mass is:
[tex]Average\ atomic\ mass=(\frac {\%\ of\ the\ first\ isotope}{100}\times {Mass\ of\ the\ first\ isotope})+(\frac {\%\ of\ the\ second\ isotope}{100}\times {Mass\ of\ the\ second\ isotope})[/tex]
Given that:
Since the element has only 2 isotopes, so the let the percentage of first be x and the second is 100 -x.
For first isotope,:
% = x %
Mass = 151.0 amu
For second isotope :
% = 100 - x
Mass = 153.0 amu
Given, Average Mass = 151.96 amu
Thus,
[tex]151.96=\frac{x}{100}\times {151.0}+\frac{100-x}{100}\times {153.0}[/tex]
Solving for x, we get that:
x = 52 %
Thus percentage abundance of Eu isotopes are 52 % and 48 % .
