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O Levels Chemistry (5070)•5070/11/O/N/22
Question 7 from 5070/11/O/N/22

Explanation

Weighted Average Atomic Mass

Steps:

  • The atomic mass of 35.5Cl is the weighted average of isotope masses and abundances.
  • Let x = % of ^{35}Cl; then (100 - x) = % of ^{37}Cl.
  • Set up equation: [35x + 37(100 - x)] / 100 = 35.5.
  • Solve: 35x + 3700 - 37x = 3550 → -2x = -150 → x = 75% (so 25% ^{37}Cl).

Why D is correct:

  • 75% ^{35}Cl and 25% ^{37}Cl yield (35 × 0.75 + 37 × 0.25) = 35.5, matching the given value.

Why the others are wrong:

  • A: Yields average of 36.5, higher than 35.5.
  • B: Yields average of 36.2, higher than 35.5.
  • C: Yields average of 36, higher than 35.5.

Final answer: D

Topic: Isotopes

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