A sample of element X contains 69 % of 63X and 31 % of 65X.What is the relative atomic mass of X in this sample?A. 63.0B. 63.6C. 65.0D. 69.0
Question
A sample of element X contains 69 % of 63X and 31 % of 65X. What is the relative atomic mass of X in this sample?
A. 63.0
B. 63.6
C. 65.0
D. 69.0
Solution
The relative atomic mass of an element is calculated by taking the weighted average of the atomic masses of its isotopes. The weight of each isotope is its abundance.
In this case, element X has two isotopes: 63X and 65X. The abundance of 63X is 69% and the abundance of 65X is 31%.
To calculate the relative atomic mass, we multiply the atomic mass of each isotope by its abundance (expressed as a decimal), and then add these values together.
For 63X: 63 * 0.69 = 43.47 For 65X: 65 * 0.31 = 20.15
Adding these together gives: 43.47 + 20.15 = 63.62
So, the relative atomic mass of X in this sample is approximately 63.6. Therefore, the correct answer is B. 63.6.
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