Q. 11.     The average atomic mass of a sample of an element X is 16.2\; u. What are the percentages of isotopes _{8}^{16}\textrm{X} and _{8}^{18}\textrm{X} in the sample?

Answers (1)

Given, the average atomic mass of a sample of an element X is 16.2\; u.

Two isotopes of element =  _{8}^{16}\textrm{X} and _{8}^{18}\textrm{X}

Now, Let's percent of isotope _{8}^{16}\textrm{X} be x and percent of _{8}^{18}\textrm{X} be 100 - x 

So, According to the question,

Average Atomic Mass :

16.2=16\times\frac{x}{100}+18\times\frac{100-x}{100}

16.2=\frac{16x}{100}+18-\frac{18x}{100}

-1.8=-\frac{2x}{100}

2x=180

x=90

Hence the percentage of isotope _{8}^{16}\textrm{X}  is 90 % and thepercentage  isotope _{8}^{16}\textrm{X} is 10%.

 

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