🤓 Based on our data, we think this question is relevant for Professor Beck's class at OHIO.

Recall that ** radioactive/nuclear decay of isotopes** follows first-order kinetics, and the integrated rate law for first-order reactions is:

$\overline{){\mathbf{ln}}{\mathbf{\left[}\mathbf{N}\mathbf{\right]}}_{{\mathbf{t}}}{\mathbf{=}}{\mathbf{-}}{\mathbf{kt}}{\mathbf{+}}{\mathbf{ln}}{\mathbf{\left[}\mathbf{N}\mathbf{\right]}}_{{\mathbf{0}}}}$

**Step 1. **Calculate for the decay constant (k):

half-life = **3.1 min**:

The isotope ^{208}Tl undergoes β decay with a half-life of 3.1 min.

(b) How long will it take for 99.0% of a sample of pure ^{208}Tl to decay?

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Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.

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Based on our data, we think this problem is relevant for Professor Beck's class at OHIO.

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