Respuesta :
Answer:
The abundance of first isotope is 69.15 %
The abundance of second isotope is 30.85 %
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 = 62.9296 u
For second isotope:
% = 100 - x
Mass = 64.9278 u
Given, Average Mass = 63.546 u
Thus,
[tex]63.546=\frac{x}{100}\times {62.9296}+\frac{100-x}{100}\times {64.9278}[/tex]
Solving for x, we get that:
x = 69.15 %
The abundance of first isotope is 69.15 %
The abundance of second isotope is 100 - 69.15 % = 30.85 %
