Deactivation in PFR or CSTR reactor

The observed rate as a function of conversion is given by Equation 19.4, which also depends on the effectiveness factor and activity  

Substituting this expression into Equation 14.38 and using Equation 18.24, we obtain the following expression for a PFR reactor with diffusion effects  

An expression for CSTR reactor is also derived from Equation 14.27  

1 An irreversible reaction takes place in a CSTR containing spherical particles catalyst of 24 mm diameter. Pure reactant A is introduced at pressure of 1 atm and constant temperature of 300°C with a space time of 4000 (g x s/m ). Conversion was measured with time as shown in the table (Fogler, 2000). Calculate the deactivation rate with and without diffusion, knowing the additional data  

Let us first consider the case in the absence of diffusion effects  

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