*Recall the equation for a first-order half-life:*

$\overline{){{\mathbf{t}}}_{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}{\mathbf{=}}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{\mathbf{k}}}$

*t _{1/2} = 3.00 hr*

**Calculate k:**

$\overline{){{\mathbf{t}}}_{\raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}{\mathbf{=}}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{\mathbf{k}}}\phantom{\rule{0ex}{0ex}}\mathbf{k}\mathbf{=}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{{\mathbf{t}}_{{\displaystyle \raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}}}\phantom{\rule{0ex}{0ex}}\mathbf{k}\mathbf{=}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{\mathbf{3}\mathbf{.}\mathbf{00}\mathbf{}\overline{)\mathbf{hr}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{hr}}}{\mathbf{60}\mathbf{}\overline{)\mathbf{min}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\overline{)\mathbf{min}}}{\mathbf{60}\mathbf{}\mathbf{s}}$

**k = 6.418x10 ^{-5} s^{-1}**

**Calculate rate:**

A certain radioactive nuclide has a half-life of 3.00 hours.

b. Calculate the decay rate in decays/s for 1.000 mole of this nuclide.

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Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl Atoms 1st 2nd Edition practice problems.