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24 March, 22:00

There are two naturally occurring isotopes of chlorine. 35 Cl has a mass of 34.9689 u. 37 Cl has a mass of 36.9659 u. Determine the abundance of each isotope.

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  1. 24 March, 23:14
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    Abundance for chlorine:

    76.9% is 35 Cl and 23.1% is 37 Cl.

    Explanation:

    the average mass of one mole of chlorine is 35.453g.

    Let x be the fraction of the chlorine that is number 35.

    1 - x is the fraction that is number 37.

    Since they have equal mass number, we equate the two expressions:

    34.9689 * x + 36.9659 * (1 - x) = 34.9689 * x + 36.9659 - 36.9659 * x

    34.9689 * x + 36.9659 - 36.9659 * x = 35.453

    1.997 * x = 1.5359

    x = 1.5359 : 1.997

    The decimal fraction is approximately 0.769. This means 76.9% is 35 Cl and 23.1% is 37 Cl.
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