Copper consists of the isotopes 63Cu and 65Cu has a relative atomic mass of 63.55. What is the most likelycomposition?63Cu 65CuA. 30 % 70 %B. 50 % 50 %C. 55 % 45 %D. 70 % 30 %
Question
Copper consists of the isotopes 63Cu and 65Cu has a relative atomic mass of 63.55. What is the most likelycomposition?63Cu 65CuA. 30 % 70 %B. 50 % 50 %C. 55 % 45 %D. 70 % 30 %
Solution
The relative atomic mass of an element is the weighted average of the atomic masses of the isotopes. The weight is the abundance of each isotope.
Given that the relative atomic mass of Copper is 63.55, and it consists of isotopes 63Cu and 65Cu, we can set up the following equation to solve for the abundance of each isotope:
63(x) + 65(1-x) = 63.55
Where x is the abundance of 63Cu and (1-x) is the abundance of 65Cu.
Solving for x gives us approximately 0.7 or 70%. Therefore, the abundance of 63Cu is 70% and the abundance of 65Cu is 30%.
So, the most likely composition is D. 70% 63Cu and 30% 65Cu.
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