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Let abundance of B-10 be x
Then abundance of B-11 will be 100-x
Formula of average atomic mass is
![\frac{m1 \times n1 + m2 \times n2...}{n1 + n2...} \frac{m1 \times n1 + m2 \times n2...}{n1 + n2...}](https://tex.z-dn.net/?f=+%5Cfrac%7Bm1+%5Ctimes+n1+%2B+m2+%5Ctimes+n2...%7D%7Bn1+%2B+n2...%7D+)
Where m is the atomic mass and n is the percentage
Substituting the above values,
![10.8 = \frac{10x + 11(100 - x)}{100} \\ 1080 = 10x + 1100 - 11x \\ - x = - 20 \\ x = 20\% 10.8 = \frac{10x + 11(100 - x)}{100} \\ 1080 = 10x + 1100 - 11x \\ - x = - 20 \\ x = 20\%](https://tex.z-dn.net/?f=10.8+%3D++%5Cfrac%7B10x+%2B+11%28100+-+x%29%7D%7B100%7D++%5C%5C+1080+%3D+10x+%2B+1100+-+11x+%5C%5C++-+x+%3D++-+20+%5C%5C+x+%3D+20%5C%25)
So, abundance of B-10 is 20% and abundance of B-11 is 80%
Then abundance of B-11 will be 100-x
Formula of average atomic mass is
Where m is the atomic mass and n is the percentage
Substituting the above values,
So, abundance of B-10 is 20% and abundance of B-11 is 80%
locomaniac:
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