Chemical Kinetics Question 336

Question: A radioactive isotope having a half - life period of 3 days was received after 12 days. If 3g of the isotope is left in the container, what would be the initial mass of the isotope-

Options:

A) 12g

B) 36g

C) 48g

D) 24g

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Given $ {t_{1/2}}=3 $ Total time T =12 No. of half lives $ ( n )=\frac{12}{3}=4 $

$ {{( \frac{1}{2} )}^{n}}=\frac{N}{N_{o}}\therefore {{( \frac{1}{2} )}^{4}}=\frac{3}{N} $

$ \frac{3}{N}=\frac{1}{16} $ N=48 g



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