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1 October, 01:12

The element silver has an atomic weight of 108 and consists of two stable isotopes silver-107 and silver-109. The isotope silver-107 has a mass of 107 amu and a percent natural abundance of 51.8 %. The isotope silver-109 has a percent natural abundance of 48.2 %. What is the mass of silver-109

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  1. 1 October, 03:46
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    109

    Explanation:

    Let silver-107 be isotope A

    Let silver-109 be isotope B

    Let silver-107 abundance be A%

    Let silver-109 abundance be B%

    The following data were obtained from the question:

    Atomic weight of silver = 108

    Mass of isotope A (silver-107) = 107

    Abundance of isotope A (silver-107) = 51.8%

    Abundance of isotope B (silver-109) = 48.2%

    Mass of isotope B (silver-109) = ?

    Now, we shall determine the mass silver-109 as follow:

    Atomic weight = [ (Mass of A x A%) / 100] + [ (Mass of B x B%) / 100]

    108 = [ (107 x 51.8) / 100] + [ (Mass of B x 48.2) / 100]

    108 = 55.426 + (Mass of B x 0.482)

    Collect like terms

    Mass of B x 0.482 = 108 - 55.426

    Mass of B x 0.482 = 52.574

    Divide both side by 0.482

    Mass of B = 52.574/0.482

    Mass of B = 109

    Therefore, the mass of silver-109 is 109.
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