To determine if the relative values of K-39 and K-41 confirm the accepted average atomic mass for natural potassium, we need to calculate the weighted average of the atomic masses of these isotopes.
The atomic mass of K-39 is approximately 38.9637 atomic mass units (amu), and the atomic mass of K-41 is approximately 40.9619 amu.
To calculate the average atomic mass, we multiply the atomic mass of each isotope by its relative abundance (expressed as a decimal) and then sum these values.
(0.9310 * 38.9637 amu) + (0.0690 * 40.9619 amu) ≈ 39.0983 amu
The accepted average atomic mass for natural potassium is approximately 39.0983 amu.
Since the calculated average atomic mass matches the accepted value, we can confirm that the relative values of K-39 and K-41 (93.10% and 6.90%, respectively) do indeed confirm the accepted average atomic mass for natural potassium.