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The element bron occurs in nature as tw...

The element bron occurs in nature as two isotopes havein atomic masses 10 u and 11 u . What are the percentage abundances of these isotopes in a sample of boron having average atomic mass of 10.8 u?

Text Solution

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Let the percentage of B-10 isotope =x
the percentage of B-11 iostope =100-x
From the information the average atomic mass of boron
`=(x xx10)/(100)+((100-x)xx11)/(100)`
But the given average toic mass of boron =10.8 `mu`
`(x xx10)/(100)+((100-x)xx11)/(100)=10.8`
`10x+1100-11x=10.8xx100=1080`
`=-x=1080-1100=-20`
x=20
percentage abundance of B-10 isotope =20%
Percentage abundance of B-11 isotope =80%
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