Cascade of CSTRs Connected in Series

Consider a liquid-phase, first-order reaction of the form A P + R in an isothermal cascade of CSTRs where only reactant A is fed to the system. Taking the inlet stream to the cascade as the reference stream and since only reactant A is fed, y o = 1- Using Eq. 8.2.3, the design equation for the nth CSTR is 

For the special case that each reactor has the same volume, ti = T2 Ttot/ , Eq. 8.2.19 reduces to 

Using Eq. 8.2.8 to express the species concentrations, the reaction rate is 

Substituting (a) and (b) into Eq. 8.2.3, the design equation of each reactor is 

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