1.
A student looked up the naturally occurring isotopes of bromine and found the following information:
50.54% of the naturally occurring isotopes of bromine have an atomic mass of 78.92 amu while 49.46% of the
naturally occurring isotopes of bromine have an atomic mass of 80.92 amu. Calculate the average atomic mass of
bromine. SHOW ALL WORK

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Explanation:

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Answer: The average atomic mass of bromine is 79.91 amu.

Explanation:

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:

[tex]\text{Average atomic mass }=\sum_{i=1}^n\text{(Atomic mass of an isotopes)}_i\times \text{(Fractional abundance})_i[/tex]   .....(1)

For isotope 1:

Mass of isotope 1 = 78.92 amu

Percentage abundance of isotope 1 = 50.54 %

Fractional abundance of isotope 1 = 0.5054

For isotope 2:

Mass of isotope 2 = 80.92 amu

Percentage abundance of isotope 2 = 49.46 %

Fractional abundance of isotope 2 = 0.4946

Putting values in equation 1, we get:

[tex]\text{Average atomic mass of Bromine}=[(78.92\times 0.5054)+(80.92\times 0.4946)][/tex]

[tex]\text{Average atomic mass of Bromine}=79.91amu[/tex]

Hence, the average atomic mass of element bromine is 79.91 amu.