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18 November, 02:28

The element gallium has an atomic weight of 69.7 and consists of two stable isotopes gallium - 69 and gallium - 71. The isotope gallium - 69 has a mass of 68.9 amu and a percent natural abundance of 60.4 %. The isotope gallium - 71 has a percent natural abundance of 39.6%. What is the mass of gallium - 71?

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  1. 18 November, 02:42
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    The answer to your question is Gallium-71 = 70.9202 amu

    Explanation:

    Gallium atomic weight = 69.7

    Gallium-69 = 68.9 amu abundance = 60.4%

    Gallium-71 = x abundance = 39.6%

    To solve this problem just write an equation and solve it for the mass of gallium-71.

    Equation

    Gallium = Gallium-69 (abundance) + Gallium-71 (abundance)

    Substitution

    69.7 = (68.9) (0.604) + Gallium-71 (0.396)

    69.7 = 41.6156 + Gallium-71 (0.396)

    Gallium-71 (0.396) = 69.7 - 41.6156

    Gallium-71 (0.396) = 28.0844

    Gallium-71 = 28.0844/0.396

    Gallium-71 = 70.9202 amu
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