Rutherfordium-261 has a half-life of 1.08 min. How long will it take for a sample of rutherfordium to lose one-third of its nuclei?

Explanation:

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In this case, since the radioactive decay equation is:

Whereas A stands for the remaining amount of this sample and A0 the initial one. In such a way, since the sample of rutherfordium is reduced to one-third of its nuclei, the following relationship is used:

And we plug it in to get:

Now, as we know its half-life, we can compute the elapsed time for such loss:

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