Mass Balances of the Ideal Reactors

The mass balance for one component participating in the reaction can, as a first step, be formulated generally in words  

Time dependent change of the amount of substance i within the reaction volume 

Input mass rate of substance i through feed stream 

A closer examination results in the recognition of the Damkoehler number as the term with which the dimensionless reaction rate is multiplied. This leads to a simplification for the general dimensionless mass balance  

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The relationships between the concentrations of the components and the (average) space times can then consequently be derived from the mass balances of the ideal reactors. 

The expressions that we obtained for the molar flux of very slow, slow, normal, fast, and infinitely fast reactions are inserted into the mass balances of the ideal reactor models. The molar flux at the gas-liquid interface was derived for ideal reactor models for plug flow column reactors (Equations 7.15 and 7.16), for stirred tank reactors (Equations 7.22,7.25, and 7.26), and for BRs (Equations 7.33 and 7.34) ... 

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