The table below gives the atomic mass and relative abundance values for the three isotopes of element M.

Relative abundance (%) Atomic mass (amu)
78.99 23.9850
10.00 24.9858
11.01 25.9826

What is the average atomic mass (in amu) of element M?



Respuesta :

The average atomic mass formula is:

[tex]average atomic mass = \Sigma (percent abundane)\times (atomic mass)[/tex]

Substituting the values in the formula:

[tex]average atomic mass = \frac{78.99\times 23.9850+10\times 24.9858+11.01\times 25.9826}{100}[/tex]

[tex]average atomic mass = \frac{1894.57515+249.858+286.068426}{100}[/tex]

[tex]average atomic mass = 24.30516 amu[/tex]

Hence, [tex]24.30516 amu[/tex] is the average atomic mass of element M.

The average atomic mass (in amu) of element M is 24.30516 amu.

How we calculate the average atomic mass of any element?

The average atomic mass of any element will be calculated by adding the product of the atomic mass of that element and relative abundance percent of isotope of that element.

Given atomic mass (amu) of element M = 23.9850, 24.9858, 25.9826

Given relative abundance % respectively = 78.99, 10.00, 11.01

Putting all these values on the calculation of the average atomic mass of element M as:

Average atomic mass = (23.9850×78.99)+(24.9858×10)+(25.9826×11.01)/100 Average atomic mass = 24.30516 amu

Hence, 24.30516 amu is the average atomic mass of element M.

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