Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.
Formula used to calculate average atomic mass follows:
Average atomic mass = ∑ i = 1 n (Atomic mass of an isotopes) i × (Fractional abundance ) i .....(1)
For 29 63 Cu isotope:
Mass of 29 63 Cu isotope = 62.9296 amu
Percentage abundance of 29 63 Cu isotope = 69.17 %
Fractional abundance of 29 63 Cu isotope = 0.6917
For 29 65 Cu isotope:
Mass of 29 65 Cu isotope = 64.9278 amu
Percentage abundance of 29 65 Cu isotope = 30.83%
Fractional abundance of 29 65 Cu isotope = 0.3083
Putting values in equation 1, we get:
Average atomic mass of copper = [( 62.9296 × 0.6917 ) + ( 64.9278 × 0.3083 )]
Average atomic mass of copper = 63.5456 am u
Thus, the average atomic mass of copper is 65.5456 amu.
The weighted atomic mass of these two isotopes is 63.5679 amu. To calculate this first multiply Copper-63's mass of 62.9296 amu by .6917 which gets you 43.5284. Then multiply Copper-65's mass of 64.9278 by .3083 which gets you 20.0395. Then add 43.5284 and 20.0395 to get the final answer of 63.5679 amu.
The weighted average mass of copper, considering its isotopes, is calculated to be approximately 63.588 amu. This is determined by multiplying the mass of each isotope by its fractional abundance and summing those values. Therefore, the average atomic mass of copper is based on the contributions of its isotopes Copper-63 and Copper-65.
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