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

(1) Calculate rate (k) at first order

$\overline{){\mathbf{k}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{ln}\mathbf{\left(}\mathbf{2}\mathbf{\right)}}{{\mathbf{t}}_{\mathbf{1}\mathbf{/}\mathbf{2}}}}\phantom{\rule{0ex}{0ex}}\mathbf{k}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{ln}\mathbf{\left(}\mathbf{2}\mathbf{\right)}}{\mathbf{4}\mathbf{.}\mathbf{5}\mathbf{}\overline{)\mathbf{days}}\mathbf{}\mathbf{\left(}{\displaystyle \frac{24\mathrm{hrs}}{1\overline{)\mathrm{day}}}}\mathbf{\right)}}$

k = 6.42x10^{-3} hrs^{-1}

(2) **t = 48 hours**

**Initial mass = ??**

Mass remaining = 5.0 g

A chemist wishing to do an experiment requiring ^{47}Ca^{2+} (half-life = 4.5 days) needs 5.0 ug of the nuclide. What mass of ^{47}CaCO_{3} must be ordered if it takes 48 h for delivery from the supplier? Assume that the atomic mass of ^{47}Ca is 47.0 u.

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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 Cruz's class at USF.

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