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NDA 2024 · PYQ · Atomic Structure / Isotopic Abundance · easy

The relative atomic mass of boron (which exists in two isotopic forms ¹⁰B and ¹¹B) is 10·81. What will be the abundance of ¹⁰B and ¹¹B, respectively (consider a sample of 100 atoms) ?

  1. A.19% and 81%✓ Correct
  2. B.81% and 19%
  3. C.38% and 62%
  4. D.62% and 38%

Explanation

Let the abundance of ¹⁰B be x% and ¹¹B be (100 − x)%. Then the average atomic mass = [10·x + 11·(100 − x)] / 100 = 10·81. Solving: 10x + 1100 − 11x = 1081, which gives −x = −19, so x = 19. Hence ¹⁰B is 19% and ¹¹B is 81%. Therefore the correct answer is 19% and 81%.
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