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Question: Answered & Verified by Expert
A certain nuclide has a half-life period of 30 min. If a sample containing 600 atoms is allowed to decay for 90 min, how many atoms will remain ?
ChemistryChemical KineticsMHT CETMHT CET 2007
Options:
  • A 200 atoms
  • B 450 atoms
  • C 75 atoms
  • D 150 atoms
Solution:
1429 Upvotes Verified Answer
The correct answer is: 75 atoms
$\begin{aligned} n &=\frac{\text { total time }}{\text { half- life period }}=\frac{90}{30}=3 \\ N &=N_{0} \times\left(\frac{1}{2}\right)^{n} \\ &=600 \times\left(\frac{1}{2}\right)^{3} \\ &=\frac{600}{8} \\ &=75 \text { atoms } \end{aligned}$

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