Question

4. Boron has two isotopes with masses 10.13 u and 11.01 u and abundance of 19.77% and 80.23% respectively. What is the average atomic mass of boron?
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Answer 1

Answer:

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Explanation:

Average atomic mass of boron is 20.836033 u...

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Answer 2

Answer:

$\boxed{\mathfrak{Average \ atomic \ mass \ of \ boron = 10.836 \ u}}$

Explanation:

Abundance of 10.13 u mass isotope = 19.77%

Abundance of 11.01 u mass isotope = 80.23%

$\rm \implies Average \ atomic \ mass = \dfrac{Atomic \ mass \ of \ (1) \times \% abundance+Atomic \ mass \ of \ (2) \times \%abundance}{100}$

$\rm \implies Average \: atomic \: mass = \dfrac{10.13 \times 19.77 + 11.01 \times 80.23}{100} \\ \\ \rm \implies Average \: atomic \: mass = \dfrac{200.2701 + 883.3323}{100} \\ \\ \rm \implies Average \: atomic \: mass = \dfrac{1083.6024}{100} \\ \\ \rm \implies Average \: atomic \: mass = 10.836 \: u$