Maximum mixedness equation derivation

The maximum mixedness equation is derived in problem P5.07.01. The equation is... 

Empirical Equations Tabular (C,t) data are easier to use when put in the form of an algebraic equation. Then necessary integrals and derivatives can be formed most readily and accurately. The calculation of chemical conversions by such mechanisms as segregation, maximum mixedness, or dispersion also is easier with data in the form of equations. 

We next derive the differential equation that governs the maximum mixedness reactor [28]. Consider an expanded view of the reactor in a state of maximum mixedness shown in Figure 8.16.B, As depicted in... 

Some common guidelines are presented here on how the derived residence time functions can be utilized for calculating the conversion for a maximum mixedness tanks-in-series model. It is necessary, in this context, to state that if each tank in a series is completely backmixed, the model provides the same result as the tanks-in-series model. In this case, no special treatment is required. If, on the contrary, the tanks in series as an entity are considered to be completely backmixed, one has to turn to an earlier equation. Equation 4.64, together with the boundary condition. Equation 4.65. Instead of the original expression for the intensity function, a new one that is valid for the tanks-in-series model. Equation 4.77, is utilized. 

---