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The average atomic mass of a sample of an element X is 16.2 u. What are the percentages of isotopes and 816X and 818X in the sample? - Science

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Question

The average atomic mass of a sample of an element X is 16.2 u. What are the percentages of isotopes 816X and 818X in the sample?

Sum

Solution

It is given that the average atomic mass of the sample of element X is 16.2 u.

Therefore,

The atomic mass of the given element X is = 16.2 u.

Let 816X percentage = a

Then 818X percentage = (100 − a)

Average mass of X = 16(a100)+18(100-a100)

16.2 = (16a100)+(1800-18a100)

1620 = 1800 − 2a

1800 - 1620 = 2a

180 = 2a

a = 1802 

a = 90

Therefore 816X percentage = 90%

And 818X percentage = 100 − 90

= 10%

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Chapter 4: Structure of the Atom - Exercises [Page 55]

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NCERT Science [English] Class 9
Chapter 4 Structure of the Atom
Exercises | Q 11 | Page 55

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