# Copper has two naturally occurring isotopes with atomic masses of 62.9296 u () and 64.9278 u (). The atomic mass of copper is 63.546 u. What is the percent distribution of the isotopes

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## Question:

Copper has two naturally occurring isotopes with atomic masses of 62.9296 u () and 64.9278 u (). The atomic mass of copper is 63.546 u. What is the percent distribution of the isotopes

The abundance of first isotope is 69.15 %

The abundance of second isotope is 30.85 %

Explanation:

The formula for the calculation of the average atomic mass is: Given that:

Since the element has only 2 isotopes, so the let the percentage of first be x and the second is 100 -x.

For first isotope:

% = x %

Mass = 62.9296 u

For second isotope:

% = 100  – x

Mass = 64.9278 u

Given, Average Mass = 63.546 u

Thus, Solving for x, we get that:

x = 69.15 %

The abundance of first isotope is 69.15 %

The abundance of second isotope is 100 – 69.15 % = 30.85 %

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