Evolution of the rate according to time and gas pressure

We will deal with this kinetic aspect using the two examples that are the most appropriate for this book, that is to say that of chemisorption and that of an adsorption-reaction type of process. 

In such a case, the mathematical solution is easy to find. We have  

With the knowledge of 0, we can relate the rate to time. We therefore arrive at  

Also note that the maximum rate value is reached immediately, and that the rate decreases non-stop over time. In that case, the changes in the rate according to P are relatively complex. 

If we assume that the adsorption process, as we have just described it, is associated with a chemical reaction, and if we hypothesize that there is a rate limiting process and that the reverse reaction is distinctly advanced, then we can write that  

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