The mass numbers of three isotopes of an element are 10, 12, and 14 units. Their percentage abundance is 80, 15 and 5, respectively. What is the atomic weight of the element?

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Solution

Now, what is average weight?

Average weight = $\frac{% a b u n d a n c e \times M a s s n u m b e r}{T o t a l o f r a t i o n}$

Now,

The percentage abundance of isotopes is 80 , 15 and 5.

Thus their ratio is 16:3:1

Total of the ration = 16 + 3 + 1 =20

Average weight = $\frac{% a b u n d a n c e \times M a s s n u m b e r}{T o t a l o f r a t i o n}$

$∴ A v e r a g e w e i g h t = \frac{10 \times 16 + 12 \times 3 + 14 \times 1}{20} = 10.5$

Thus, the aveage atomic weight is 10.5 units.

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