An unknown element (Uk) has three isotopes, as presented in
the table below. One of the percentage values is missing.
After calculating the missing percent abundance (%).
determine the average atomic mass of Uk.
Enter your answer to the hundredths place.
Percent
Abundance
(%)
Uk-66 65.994 58.00
Isotope Mass
Notation (amu)
Uk-69 68.958
Uk-71 70.975
10.00
?

Respuesta :

The average atomic mass of the element, Uk is 67.44 amu.

What is the average atomic mass of the element, Uk?

The average atomic mass of the element Uk is determined from the sum of the isotopic masses of the isotopes of the element and their relative abundances.

  • average atomic mass = sum of (isotopic mass * relative abundance) of the isotopes

The isotopic masses and relative abundance of the isotopes are given below:

Isotope:Uk-66; Isotopic mass = 65.994; relative abundance = 58.00%

Isotope:Uk-69; Isotopic mass = 68.958; relative abundance = ?

Isotope:Uk-71; Isotopic mass = 70.975; relative abundance = 10.00%

Relative abundance of Uk-69 = 100% - (58 + 10)% = 32%

The average atomic mass of Uk =  (65.994 * 58.00%) + (68.958 * 32%) + (70.975 * 10.00%)

The average atomic mass of Uk = 67.44 amu

In conclusion,  the average atomic mass of an element is obtained from the of the isotopic masses of the isotopes of the element and their relative abundances.

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