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C65uCopper has twoC65unaturallyoccurring isotopes,C63u(isotopic mass 62.9396 amu) and C65(isotopic mass 64.9278 amu). If copper has an atomic mass of 63.546 amu, what is the percent abundance of each isotope.

Short Answer

Expert verified

Percentage abundance of isotope C63u= 69.50 %

Percentage abundance of isotope role="math" localid="1663338028833" C65u= 34.50 %

Step by step solution

01

Step 1: Average atomic mass 

Definition:Average atomic mass of an element is defined as the sum of masses of each isotope each multiplied by their natural fractional abundance.

Formula:


02

Step 2: Calculation of fractional abundance of isotope C63u

Let the fractional abundance of isotope C63ube 'X'

So, fractional abundance of isotope C65uwill be '1 鈥 X'

For isotope C63u:

Mass of isotope C63u= 62.9396 amu

Fractional abundance of isotope C63u= X

For isotope C65u:

Mass of isotope C65u= 64.9278 amu

Fractional abundance of isotope C65u= 1 鈥 X

To find X, put above values in formula of average atomic mass

03

Calculation of percentage abundance of isotopes

Percentage abundance of isotope C63u= 0.6950 x 100=69.50 %

Percentage abundance of isotope C65u= (1 - 0.6590) x 100 = 0.3450 x 100 = 34.50 %

Hence, the percentage abundance of isotopeC63uandC65uare 69.50 % and 34.50 % 颅颅respectively.

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