Acertain element x has four isotopes. 4.350% of x has a mass of 49.94605 amu. 83.79% of x has a mass of 51.94051 amu. 9.500% of x has a mass of 52.94065 amu. 2.360% of x has a mass of 53.93888 amu. what is the average atomic mass of element x? express your answer numerically to four significant figures. view available hint(s)

Average atomic mass of an element is the sum of atomic mass of its isotopes multiplied by their respective percentage abundance.

There are four isotopes of element X:

1. 4.350 % with mass 49.94605 amu

2. 83.79% with mass 51.94051 amu

3. 9.5% with mass 52.94065 amu

4. 2.360% with mass 53.93888 amu

Thus, average atomic mass will be:

Or,

Therefore, average atomic mass of element X will be 51.99 amu (four significant figures)

52.00 amu.

Explanation:

Mass of isotope 1 = 49.94605 amu

% abundance of isotope 1 = 4.350% =

Mass of isotope 2 =  51.94051 amu

% abundance of isotope 2 = 83.79 % =

Mass of isotope 3 =  52.94065 amu

% abundance of isotope 3  = 9.500 % =

Mass of isotope 4 = 53.93888 amu

% abundance of isotope 4 = 2.360 % =

Formula used for average atomic mass of an element :

Therefore, the average atomic mass of an element is 52.00 amu.

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