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22 April, 14:30

An element x atomic number 3, relative atomic number 6.94 and consists of two isotopes of mass numbers 6 and 7 respectively.

What is the mass number of the more abudant isotope of x?

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  1. 22 April, 14:57
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    7

    Explanation:

    Atomic number of X = 3

    Atomic mass of X = 6.94 amu

    1st isotope atomic mass = 6 amu

    2nd isotope atomic mass = 7 amu

    Which is more abundant isotope = ?

    Explanation:

    we know there are two naturally occurring isotopes of given element X, X-6 and X-7.

    First of all we will set the fraction for both isotopes

    x for the isotopes having mass 6

    1-x for isotopes having mass 7

    The average atomic mass of X = 6.94 amu

    we will use the following equation,

    6x + 7 (1-x) = 6.94

    6x + 7 - 7x = 6.94

    6x - 7x = 6.94 - 7

    -1x = - 0.06

    x = - 0.06/-1

    x = 0.06

    0.06 * 100 = 6%

    6% is abundance of X-6 because we solve the fraction x.

    now we will calculate the abundance of X-7.

    (1-x)

    1-0.06 = 0.94

    0.94 * 100 = 94%

    94% for X-7.
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