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23 April, 07:33

Chlorine has two naturally stable isotopes: 35Cl (34.968853 amu) and 37Cl (36.965903 amu). The natural abundance of each isotope varies in different regions of the universe. In the Gribble region of space, the molar mass for a sample of chlorine is 36.36575 g/mol. Using only these three values, determine the relative percent abundance of 35Cl.

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  1. 23 April, 10:04
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    35Cl ⇒ 34.968853 amu has an abundance of 30.05%

    Explanation:

    The molar mass of chlorine, (which is the average of all its naturally stable isotope masses), is 36.36575 amu.

    There are 2 naturally stable isotopes, this means together they have an abundance of 100%

    The isotopes are:

    35Cl ⇒ 34.968853 amu has an abundance of X %

    37Cl ⇒ 36.965903 amu has an abundance of Y %

    X + Y = 100% OR X = 100% - Y

    36.36575 = 34.968853X + 36.965903Y

    36.36575 = 34.968853 (1-Y) + 36.936.96590365903Y

    36.36575 = 34.968853 - 34.968853Y + 36.965903Y

    1.396897 = 1.99705Y

    Y = 0.699 = 69.95%

    X = 100-69.9 = 30.05%

    To control, we can plug in the following equation:

    34.968853 * 0.3005 + 36.965903 * 0.6995 = 36.3658

    This means

    37Cl ⇒ 36.965903 amu has an abundance of 69.95 %

    35Cl ⇒ 34.968853 amu has an abundance of 30.05%
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