A new element, Canadium, not found on earth, contains 3 isotopes. given the following information, calculate the atomic mass of Canadium. Isotope Mass (amu) % abundance
1
429.633
21.29
2
429.121
42.47
3
429.398
?
To calculate the atomic mass of Canadium, you need to perform a weighted average of the masses of its isotopes using their respective abundances.
First, you need to convert the percent abundances into decimal fractions. In this case, the abundance of the third isotope is missing, denoted by "?". We can calculate this by subtracting the sum of the other two abundances from 100%:
Total abundance = 21.29% + 42.47% = 63.76%
The abundance of the third isotope is: 100% - 63.76% = 36.24%
Now, you can calculate the weighted average.
Atomic mass = (mass of isotope 1 x abundance of isotope 1) + (mass of isotope 2 x abundance of isotope 2) + (mass of isotope 3 x abundance of isotope 3)
Atomic mass = (429.633 amu x 21.29%) + (429.121 amu x 42.47%) + (429.398 amu x 36.24%)
Now, you can perform the calculation:
Atomic mass = (91.563 amu) + (182.676 amu) + (155.912 amu)
Atomic mass = 430.151 amu
Therefore, the atomic mass of Canadium is approximately 430.151 amu.