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Ch.2 - Atoms, Molecules, and Ions
Chapter 2, Problem 35

Only two isotopes of copper occur naturally: 63Cu (atomic mass = 62.9296 amu; abundance 69.17%) 65Cu (atomic mass = 64.9278 amu; abundance 30.83%). Calculate the atomic weight (average atomic mass) of copper.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Isotopes

Isotopes are variants of a chemical element that have the same number of protons but different numbers of neutrons, resulting in different atomic masses. For example, copper has two stable isotopes, 63Cu and 65Cu, which differ in their neutron count and thus their atomic mass.
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Atomic Weight

Atomic weight, or average atomic mass, is the weighted average of the masses of an element's isotopes, taking into account their relative abundances. It is calculated by multiplying the mass of each isotope by its abundance (expressed as a fraction) and summing these values.
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Weighted Average Calculation

To calculate a weighted average, each value is multiplied by its weight (or proportion), and the results are summed and divided by the total of the weights. In the case of copper, the atomic weight is calculated by summing the products of each isotope's mass and its abundance, providing a more accurate representation of the element's mass in nature.
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