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The average atomic mass of a sample of an element X is 35.5 u. What are the percentages of isotopes begin mathsize 12px style straight X presubscript 17 presuperscript 37 end style and  in the sample?
Asked by Topperlearning User | 04 Apr, 2016, 10:39: AM
answered-by-expert Expert Answer

Let the % composition of  begin mathsize 12px style straight X presubscript 17 presuperscript 37 end style be y.

Then the % composition of begin mathsize 12px style straight X presubscript 17 presuperscript 35 end style be (100 - y)

begin mathsize 12px style 37 space straight x space straight y over 100 space space plus space space 35 space straight x space fraction numerator left parenthesis 100 space minus space straight y right parenthesis over denominator 100 end fraction space space equals space space 35.5 space straight u fraction numerator 2 straight y over denominator 100 end fraction space space plus space 35 space equals space 35.5 space straight u space straight y space space equals space fraction numerator 0.5 space straight x space 100 over denominator 2 end fraction space straight y space space equals space space 25 percent sign end style

 

begin mathsize 12px style straight X presubscript 17 presuperscript 35 end style is 75% andbegin mathsize 12px style straight X presubscript 17 presuperscript 37 end style is 25% in nature.

 

Answered by | 04 Apr, 2016, 12:39: PM

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