Chapter 12, Problem 59E

You and a coworker have developed a molecule that·has shown potential as cobra antivenin (AV). This antivenin works by binding to the venom (V), thereby rendering it nontoxic. This reaction can be described by the rate law

$\text{Rate}=k{\left[\text{AV}\right]}^{\text{1}}{\left[\text{V}\right]}^{\text{1}}$

You have been given the following data from your coworker:

$\begin{array}{l}{\left[\text{V}\right]}_0=0.20\text{M}\\ {\left[\text{AV}\right]}_0=1.0\times {10}^{-4}M\end{array}$

A plot of ln[AV] versus t(s) gives a straight line with a slope of −0.32 s⁻¹. What is the value of the rate constant (k) for this reaction?