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

Step 1

$\overline{)\mathbf{k}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{ln}\mathbf{}\mathbf{2}}{{\mathbf{t}}_{{\displaystyle \raisebox{1ex}{$\mathbf{1}$}\!\left/ \!\raisebox{-1ex}{$\mathbf{2}$}\right.}}}}\phantom{\rule{0ex}{0ex}}\mathbf{k}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{0}\mathbf{.}\mathbf{693}}{\mathbf{90}\mathbf{}\mathbf{min}}$

**k = 7.7x10 ^{-3} min**

Step 2

$\overline{)\mathbf{ln}\mathbf{\left[}\mathbf{A}\mathbf{\right]}\mathbf{}\mathbf{=}\mathbf{}\mathbf{-}\mathbf{kt}\mathbf{}\mathbf{+}\mathbf{}\mathbf{ln}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}}\phantom{\rule{0ex}{0ex}}\mathbf{ln}\mathbf{\left[}\frac{\mathbf{2}\mathbf{}\mathbf{mg}}{\mathbf{100}\mathbf{}\mathbf{mL}}\mathbf{\right]}\mathbf{}\mathbf{=}\mathbf{}\mathbf{-}\mathbf{(}\mathbf{7}\mathbf{.}\mathbf{7}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}{\mathbf{min}}^{\mathbf{-}\mathbf{1}}\mathbf{)}\mathbf{(}\mathbf{30}\mathbf{}\mathbf{min}\mathbf{)}\mathbf{}\mathbf{+}\mathbf{}\mathbf{ln}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}\phantom{\rule{0ex}{0ex}}\mathbf{ln}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}\mathbf{}\mathbf{=}\mathbf{ln}\mathbf{\left[}\frac{\mathbf{2}\mathbf{}\mathbf{mg}}{\mathbf{100}\mathbf{}\mathbf{mL}}\mathbf{\right]}\mathbf{}\mathbf{+}\mathbf{}\mathbf{(}\mathbf{7}\mathbf{.}\mathbf{7}\mathbf{\times}{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}{\mathbf{min}}^{\mathbf{-}\mathbf{1}}\mathbf{)}\mathbf{(}\mathbf{30}\mathbf{}\mathbf{min}\mathbf{)}\phantom{\rule{0ex}{0ex}}\mathbf{ln}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}\mathbf{}\mathbf{=}\mathbf{-}\mathbf{3}\mathbf{.}\mathbf{6810}\phantom{\rule{0ex}{0ex}}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{\mathbf{0}}\mathbf{}\mathbf{=}{\mathbf{e}}^{\mathbf{-}\mathbf{3}\mathbf{.}\mathbf{6810}}$

**[A] = 0.02520 mg/mL**

Many drugs decompose in blood by a first-order process.

(a) Two tablets of aspirin supply 0.60 g of the active compound. After 30 min, this compound reaches a maximum concentration of 2 mg/100 mL of blood. If the half-life for its breakdown is 90 min, what is its concentration (in mg/100 mL) 2.5 h after it reaches its maximum concentration?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

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

What professor is this problem relevant for?

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

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition. You can also practice Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition practice problems.