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30 November, 00:51

The average atomic mass of nitrogen is 14.0067. The atomic masses of the two stable isotopes of nitrogen.^14 N and^15 N, are 14.003074002 and 15.00010897 amu, respectively. Use this information to determine the percent abundance of^14 N. % Determine the percent abundance of^15 N. %

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  1. 30 November, 01:15
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    The answer to your question is Abundance N-14 = 99.63%

    Abundance N-15 = 0.37%

    Explanation:

    Data

    Average atomic mass = 14.0067 amu

    N-14 = 14.003074002

    N-15 = 15.00010897

    Abundance N-14 = ? x

    Abundance N-15 = ? 1 - x

    Formula

    Average atomic mass = (mass of N-14) x + (mass of N-15) (1 - x)

    Substitution

    14.0067 = 14.003074002x + 15.00010897 (1 - x)

    Solve for x

    14.0067 = 14.003074002x + 15.00010897 - 15.00010897x

    14.0067 - 15.00010897 = 14.003074002x - 15.00010897x

    -0.9934 = - 0.99703x

    x = - 0.9934 / - 0.99703

    x = 0.9963

    Conclusion

    Abundance N-14 = 0.9963 x 100 = 99.63 %

    Abundance N-15 = 1 - 0.9963 = 0.0037 x 100 = 0.37 %
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