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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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13.10.2 Difference Points and Stage-by-Stage Calculations

To determine the number of stages or flow rates and compositions inside the cascade, stage-by-stage calculations are needed after we use the external mass balances to find concentrations. But first we use the external mass balances to find concentrations yA,N and yD,N and flow rates EN and R1. Starting at stage 1 (Figure 13-20) we note that streams R1 and E1 both leave equilibrium stage 1. Therefore, these two streams are in equilibrium and the concentration of stream E1 can be found from an equilibrium tie line.

Streams E1 and R2 pass each other in the diagram and are called passing streams. These streams can be related to each other by mass balances around stage 1 and the raffinate end ...

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