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 $ .