Problems and errors in fitting rate models

Several methods are used to fit rate models, the two most common of which often give erroneous results. The first is the transformation of a proposed rate model to achieve a model form that is linear in the parameters. An example is the nonlinear model  

Another example of model transformation to achieve linearity is the change from the nonlinear rate equation 

one or more model forms in chemical reaction kinetics may fit the data. Although it is tempting to want to justify a specific model as the mechanism of the reaction, it is preferable to only infer that the model could be the mechanism. It is also desirable that the reaction mechanism taking place be understood in order to solve a problem in 

The oxidation of Fe(CN)g- to Fe(CN)g by peroxidisulfate, S20 , can be monitored spectrophotometrically by observing the increase in absorbance at 420 nm, D420 in a well-mixed batch system. Assume that the kinetic scheme is  

Using pseudo-first order conditions with LS20 J = 1.8xlO-2M and [Fe(CN)g ] = hAxlO M, the following absorbances were recorded at 25 °C  

---