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A scientist discovers three isotopes of an unknown element. Isotope A has a mass of 28.776g and an abundance of 15.7%, isotope B has a mass of 25.992g and an abundance of 1.3%, and isotope C has a mass of 27.004g and an abundance of 83.0%. Calculate the average atomic mass of the unknown element. Show all of your work and include the correct units in your answer.

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ujalakhan18

Answer:

[tex]\huge\boxed{\sf Average \ Atomic \ Mass=27.269 \ amu}[/tex]

Explanation:

Given Data:

Isotope A mass = 28.776 g

Isotope A abundance = 15.7%

Isotope B mass = 25.992 g

Isotope B abundance = 1.3%

Isotope C mass = 27.004 g

Isotope C abundance = 83%

Required:

Average Atomic Mass = ?

Formula:

[tex]\displaystyle Average \ Atomic \ Mass = \frac{Isotope \ A(mass \times abun) + B(mass \times abun)+C(mass \times abun)}{100}[/tex]

Solution:

[tex]\displaystyle Average \ Atomic \ Mass = \frac{28.776\times 15.7 +25.992 \times 1.3+27.004 \times 83 }{100} \\\\Average \ Atomic \ Mass=\frac{451.7832 + 33.7896+2241.32}{100} \\\\Average \ Atomic \ Mass=\frac{2726.9}{100} \\\\Average \ Atomic \ Mass=27.269 \ amu\\\\\rule[225]{225}{2}[/tex]

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