Linear and Parabolic Rate Constants

 

                                

                 

 

           Fig. 3 Illustration of the two oxidation rate regimes. [3]

 

The equation d02 + Ad0 =B(t+t) has two important limiting conditions:

 

1.      One limiting case occurs for long oxidation times and we get                       

 

d02 = Bt

                  

This is called Parabolic Law and B is the parabolic rate constant.  This is diffusion-controlled case.

 

2.      For short oxidation times we get

 

d0 = B(t+t) / A

 

This is called Linear Law and B/A is called the linear rate constant and it is a reaction-controlled case. [3] [2]