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20 May, 13:22

The average atomic mass of ga is 69.72 amu. Calculate the abundance of each isotope.

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  1. 20 May, 13:24
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    Abundance of Ga 70.925 is 0.399 and percentage abundance of Ga 39.9%

    Abundance of Ga 68.926 is 0.601 and percentage abundance is 60.1 %.

    Explanation:

    we know there are two naturally occurring isotopes of gallium Ga 68.926 and Ga 70.925.

    First of all we will set the fraction for both isotopes

    X for the isotopes having mass 70.925

    1-x for isotopes having mass 68.926

    The average atomic mass of Ga is 69.72.

    we will use the following equation,

    70.925 x + 68.926 (1-x) = 69.72

    70.925 x + 68.926 - 68.926x = 69.72

    70.925x - 68.926x = 69.72 - 68.926

    1.99 x = 0.794

    x = 0.794 / 1.99

    x = 0.399

    abundance of Ga 70.925 is 0.399, because we solve the fraction x.

    0.399 * 100 = 39.9 %

    39.9 % is percentage abundance of Ga 70.925

    now we will calculate the abundance of Ga 68.926.

    (1-x)

    1 - 0.399 = 0.601

    abundance of Ga 68.926 is 0.601 and percentage abundance is

    0.601 * 100 = 60.1 %
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