Complete-Mixing Model for Multicomponent Mixtures

The three material balance equations similar to Eq. (13.4-8) are written for components A, B, and C. 

The following iteration or trial-and-error procedure can be used to solve the equations above. 

EXAMPLE 13.5-1. Design of Membrane Unit for Multicomponent Mixture A multicomponent gaseous mixture having a composition of Xf/, = 0.25, 

25 X 10. The pressure on the feed side is 300 cm Hg and 30 cm Hg on the permeate side. The fraction permeated wiU be 0.25. Calculate the permeate composition, the reject composition, and the membrane area using the complete-mixing model. 

Solution Following the iteration procedure, a value of = 0.50 is assumed. Substituting into Eq. (13.4-2) for step 2, 

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