natural copper consists of two isotopes. if the mass of one isotope is 62.9298 and it occurs 69.09% of the time while the other cu isotope has an abundance of 30.91% and is 64.9433 amu. what is the average atomic mass of copper?

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06-12-2022
Chemistry

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natural copper consists of two isotopes. if the mass of one isotope is 62.9298 and it occurs 69.09% of the time while the other cu isotope has an abundance of 30.91% and is 64.9433 amu. what is the average atomic mass of copper?

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Sadiyasan Sadiyasan · Answer 1 · 2022-12-12T10:27:38-05:00

The Average Atomic Mass of copper is 63.5521 amu.

The average atomic mass of an element is calculated by multiplying the masses of all of its isotopes by the element's natural abundance (the decimal associated with percent of atoms of that element that are of a given isotope).

Given:

One isotope is 62.9298 amu and occurs 69.09%

Other cu isotope is 64.9433 amu and occurs 30.91%

Let

[tex]^{63}C[/tex] % of abundance = x

[tex]^{65}C[/tex] % of abundance = (100-x),

We have, the formula of average mass

Average mass = [tex]\frac{M_1x_1+M_2x_2}{x_1+x_2}[/tex]

Average mass= 62.9298 ×69.09+ 64.9433 × 30.91/100

= 4347.819882+2007.397403/100

= 6355.217285/100

Average mass= 63.55217285

Therefore, The average mass of copper is 63.5521 amu

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