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Q.

The average atomic mass of a sample of an element X is16.2 u. Then the percentage of isotopes 16X8 and 18X8  is [[1]]% and [[2]]% respectively.

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answer is 90; 10.

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Detailed Solution

The average atomic mass of a sample of an element X is16.2 u. Then the percentage of isotopes

16

X

8

and

18

X

8

 

is 90% and 10% respectively.

Given,

The average atomic mass of X is 16.2 u.

 

Let the percentage of isotope

16

X

8

 

is A% and of

18

X

8

 

is (100-A)%.

So,

16×A100+18×100-A100=16.2

16A100+1800-18A100=16.2

1800-2A=1620

2A=180

A=90

So,

16

X

8

 

is 90% and

18

X

8

 

is 10% (100-A)= (100-90)=10%.

 
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The average atomic mass of a sample of an element X is16.2 u. Then the percentage of isotopes 16X8 and 18X8  is [[1]]% and [[2]]% respectively.