Nuclear Chemistry Question 6
Question: The half-life of a radioactive isotope is three hours. If the initial mass of the isotope were 256 g, the mass of it remaining undecayed after 18 hours would be
[AIEEE 2003]
Options:
A) 4.0 g
B) 8.0 g
C) 12.0 g
D) 16.0 g
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Answer:
Correct Answer: A
Solution:
$ N _{t}=N _{o}{{( \frac{1}{2} )}^{n}} $ , $ N _{t}=256\ {{( \frac{1}{2} )}^{18/3}} $
$ =256\ {{( \frac{1}{2} )}^{6}}=4 $ .