Mean Value of Rate Constant in a Well-Mixed Reactor

Example 12.4-1 Mean Value of the Rate Constant of a Reaction Carried Out in a Well-Mixed Reactor 

The flow pattern of solids in fluidized bed can, as a first approximation, be assumed to be perfectly mixed—Chapter 13 deals with this in detail. Weekman [17] used this concept together with a time variable rate constant to compute its mean value. This result was then used in a comparison of fluidized and fixed bed reactors for catalytic cracking. 

When expressing the catalyst activity as a function of the coke content of the catalyst, the rate coefficient of the main reaction takes the form (see Chapter 5)  

NONIDEAL FLOW PATTERNS AND POPULATION BALANCE MODELS 

The mean value of k over the internal age distribution for the solids 1,(6) is given by  

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