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A sample of in element X …

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A sample of in element X contains two isotopes X(8,16)and X(8,18). If the average atomic mass of this sample of the element is 16.2 calculate the percentage of two isotopes in this sample ?
  • 1 answers

Preeti Dabral 2 years, 3 months ago

In order to solve this problem, we will have to suppose that the percentage of one of the isotopes in the sample is x, so that the percentage of the other isotope in the sample will be (100 - x). Now :
(i) The mass of 168X isotope is 16 u. Suppose its percentage in the sample is x %
(ii) The mass of 188X isotope is 18 u. Its percentage in the sample will be (100 - x) %
So, Average atomic mass of X=16×x100+18×(100x)100
But the avergae atomic mass of X has been given to be 16.2 u. Therefore,
16.2=16×x100+18×(100x)100 or 16.2=16x+180018x100 or 16.2×100=18002x or 2x=18001620 or 2x=180 And x=1802 or x=90
Thus, the percentage of the isotope 168X in the sample is 90 %. The percentage of the other isotope 188X in the sample will be 100−90=10%

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