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14 August, 22:58

A new compound was recently discovered and found to have an atomic weight of 342.38 amu. This element has two isotopes, the lighter of which has a mass of 340.91 amu and an abundance of 68.322%. What is the mass of the heavier isotope?

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  1. 15 August, 01:13
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    The mass of heavier isotope is 345.6 amu.

    Explanation:

    Given dа ta:

    atomic wight of compound = 342.38 amu

    lighter isotope mass = 340.91 amu

    abundance of lighter isotope = 68.322%

    mass of heavier isotope = ?

    Solution:

    average atomic mass = (% age abundance of lighter isotope * its atomic mass) + (% age abundance of heavier isotope * its atomic mass) / 100

    percentage of heavier isotope = 100 - 68.322 = 31.678

    Now we will put the values in formula.

    342.38 = (68.322 * 340.91) + (31.678 * X) / 100

    342.38 = 23291.65302 + (31.678 * X) / 100

    342.38 * 100 = 23291.65302 + (31.678 * X)

    34238 - 23291.65302 = (31.678 * X)

    10946.35 / 31.678 = X

    345.6 = X

    The mass of heavier isotope is 345.6 amu.
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