Elution of a Wide Band With Competitive Langmuir Isotherms

Note that Eq. 8.13a is made of three equations and Eq. 8.13b of two. The first equation in each case is derived from the equation of the characteristic lines (Eq. 8.10b). The second equation in each case is obtained by observing that the product of the roots of Eq. 8.12 is — b2C ) /(abjC ), hence r2 = —(b2C )/(ixbiC2ri). 

2 Elution of a Wide Band With Competitive Langmuir Isotherms 

Band Profiles of Two Components with the Ideal Model 

However, the point representing the eluent composition does not move at a constant velocity on this trajectory. Other considerations, which follow, are needed to complete this description. 

Since the front shock is stable and is a shock of the pxrre first component concentration, its velocity is given by Eq. 7.7 [14,15]. At the band front, the concentration jumps from 0 to Cf (Eq. 8.13a), hence  

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The method has been used for the determination of competitive isotherms in cases in which the deviation from the Langmuir model is moderate [115]. An HPLC chromatograph configured so as to permit injecting into the column a wide rectangular pulse, e.g., by pumping into it either the pure mobile phase or, for a known time, a solution of the compound of interest, was used to make the measurements described [115]. Excellent agreement was observed with other experimental data and with the experimental band profiles recorded in overloaded elution for binary samples of various compositions [48]. 

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