Boron has two stable isotopes, ${}_{5}^{10}B and {}_{5}^{11}B .$ Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.81u. Find the abundances of ${}_{5}^{10}B and {}_{5}^{11}B .$

Solution

Let, the relative abundance of ${}_{5}^{10}B$ be x%

$∴$ Relative abundance of ${}_{5}^{11}B = (100 - x) %$

Atomic weight = weighted average of the isotopes,

$\Rightarrow$ $10.811 = \frac{10.01294 (x) + 11.00931 \times (100 - x)}{100}$

i.e., $x = 19.9 % and (100 - x) = 80.1 % .$

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Wave Optics

Boron has two stable isotopes, ${}_{5}^{10}B and {}_{5}^{11}B .$ Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.81u. Find the abundances of ${}_{5}^{10}B and {}_{5}^{11}B .$

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Boron has two stable isotopes, B510 and B511. Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.81u. Find the abundances of B510 and B511.

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Boron has two stable isotopes, ${}_{5}^{10}B and {}_{5}^{11}B .$ Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.81u. Find the abundances of ${}_{5}^{10}B and {}_{5}^{11}B .$