Chapter 20, Problem 30P

Enzymatic reactions are used extensively to characterize biologically mediated reactions in environmental engineering. Proposed rate expressions for an enzymatic reaction are given below where $\left[S\right]$ is the substrate concentration and v₀ is the initial rate of reaction. Which formula best fits the experimental data?

$v_0=k\left[S\right]v_0=\frac{k\left[S\right]}{K+\left[S\right]}{v}_0=\frac{k{\left[S\right]}^2}{K+{\left[S\right]}^2}{v}_0=\frac{k{\left[S\right]}^3}{K+{\left[S\right]}^3}$

[S], M	Initial Rate, $10^{–6}$M/s
0.01	$6.3636\times {10}^{–5}$
0.05	$7.9520\times {10}^{–3}$
0.1	$6.3472\times {10}^{–2}$
0.5	6.0049
1	17.690
5	24.425
10	24.491
50	24.500
100	24.500