MHT CET · Chemistry · Chemical Kinetics
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 ?
- A 200 atoms
- B 450 atoms
- C 75 atoms
- D 150 atoms
Answer & Solution
Correct Answer
(C) 75 atoms
Step-by-step Solution
Detailed explanation
\(\begin{aligned} n &=\frac{\text { total time }}{\text { half- life period }}=\frac{90}{30}=3 \\ N &=N_{0} \times\left(\frac{1}{2}\right)^{n} \\ &=600 \times\left(\frac{1}{2}\right)^{3} \\ &=\frac{600}{8} \\ &=75 \text { atoms } \end{aligned}\)
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