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Chemistry · Some Basic Concepts of Chemistry

हिन्दी

Boron occurs in nature as two isotopes: \( ^{10}\text{B} \) (isotopic mass = \( 10.01\text{ u} \)) and \( ^{11}\text{B} \) (isotopic mass = \( 11.01\text{ u} \)). If the average atomic mass of boron is \( 10.81\text{ u} \), the percentage relative abundance of the lighter isotope \( ^{10}\text{B} \) is:

  1. \( 80\% \)
  2. \( 20\% \)
  3. \( 19\% \)
  4. \( 25\% \)

Correct answer · Option 2

\( 20\% \)

Explanation

Let \( x \) be the fraction of \( ^{10}\text{B} \). Then \( 10.01x + 11.01(1 - x) = 10.81 \implies -x = -0.20 \implies x = 0.20 \), so the abundance is \( 20\% \).
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