J.R. S. answered 09/07/21
Ph.D. University Professor with 10+ years Tutoring Experience
I don't know what the ALEKS periodic table is, nor do I have one, so I'll assume they want you to use the atomic mass of boron that is in your particular table. In mine, it is listed as 10.81 amu. Now, this is a weighted average of the known isotopes. We are told that one isotope is 10.013 amu and it has an abundance of 19.9%. We are asked to find the abundance and mass of the remaining isotope.
Since there are only 2 isotopes, the % abundance is simply 100% - 19.9% = 80.1%
Now, we can find the mass of this second isotope using the following formula/equation:
% x mass + % x mass = average mass
(0.199 x 10.013) + (0.801 x B) = 10.81
1.99259 + 0.801B = 10.81
B = 11.02 amu = mass of the other isotope