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  • Boron has two stable isotopes, 10 5B and 11 5B. Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.811 u. Find the abundances of 10 5B and 11 5 B.

Q. 13.1(b) Boron has two stable isotopes, _{5}^{10}\textrm{B} and _{5}^{11}\textrm{B}. Their respective masses are 10.01294 \; u and  11.00931\; u, and the atomic mass of boron is 10.811 u. Find the abundances of _{5}^{10}\textrm{B} and _{5}^{11}\textrm{B} .

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The atomic mass of boron is 10.811 u

Mass of the two stable isotopes are  10.01294 \; u and 11.00931\; u respectively

Let the two isotopes have abundances x% and (100-x)%

\\10.811=\frac{10.01294\times x+11.00931\times(100-x)}{100} \\x=19.89\\ 100-x=80.11

Therefore the abundance of  _{5}^{10}\textrm{B}  is 19.89% and that of  _{5}^{11}\textrm{B} is 80.11%

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