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20 December, 02:18

Silver has 2 isotopes Ag-107 and Ag-109. The percent abundance of Ag-107 is 51.35 % and that of Ag-109 is 48.65%. Find the average atomic mass of silver. Show your work.

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  1. 20 December, 02:47
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    Given:

    Isotopes of silver with atomic masses:

    Ag - 107 and Ag - 109

    % Abundance of Ag-107 = 51.35 %

    % Abundance of Ag-109 = 48.65 %

    To determine:

    The average atomic mass of Ag

    Explanation:

    The average atomic mass can be calculated using the formula-

    Average Atomic Mass = f1M1 + f2M2 + ... + fnMn

    where:

    f = fraction representing the abundance of that isotope

    M = atomic mass of that isotope

    In the case of silver

    Average atomic mass = (51.35/100) * 107 + (48.65/100) * 109

    = 54.9445 + 53.0285 = 107.973 amu

    Ans: the average atomic mass for silver is 107.973 amu
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