Calculation of Conversion by the Dispersion Model

Calculation of the conversion of the reactant A (first-order irreversible reaction, Ta = kcj ) by means of the dispersion model is based on the mass balance for reactant A  

The analytical solution (for details see, for example, Emig and Klemm, 2005) leads to  

The value of Dax of this plug flow model with axial dispersion can also be calculated based on correlations given in Section 4.10.6.3. Example 4.10.8 gives an example to highlight the methods used to determine the conversion based on RTD measurements. 

Example 4.10.8 Prediction of conversion based on residence time distribution 

If we know the number N of the tanks-in-series model, we calculate the conversion by Eq. (4.10.32) for example, for Do = 1 we obtain a conversion of 59.0%, which almost equals the values as determined by the axially dispersed plug flow model (58.6% and 58.3%). 

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