A generic element, G, is composed of two isotopes, 132G and 128G. 132G has a natural abundance of 90% and an isotopic mass of 131.90 amu, and 128G has a natural abundance of 10% and an isotopic mass of 127.90 amu. What is the average atomic mass of this element?

Respuesta :

Answer: The average atomic mass of this element is 131.5 amu

Explanation:

Mass of isotope 1 = 131.90 amu

% abundance of isotope 1 = 90% = [tex]\frac{90}{100}=0.9[/tex]

Mass of isotope 2 = 127.90 amu

% abundance of isotope 2 = 10% = [tex]\frac{10}{100}=0.1[/tex]

Formula used for average atomic mass of an element :

[tex]\text{ Average atomic mass of an element}=\sum(\text{atomic mass of an isotopes}\times {{\text { fractional abundance}})[/tex]

[tex]A=\sum[(131.90\times 0.9)+(127.90\times 0.1)]=131.5amu[/tex]

The average atomic mass of this element is 131.5 amu

The average atomic mass of this element is 131.5 amu

  • Calculation of average atomic mass:

Since Mass of isotope 1 = 131.90 amu

So percentage abundance of isotope should be 90% or 0.9

And, the Mass of isotope 2 = 127.90 amu

So, percentage abundance of isotope 2 = 10% = 0.10

Now the average atomic mass should be

= (90% of 131.90) +  (10% of 127.90)

= 131.50

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