General Principle of the Solution

In the ideal model, we assume that the column efficiency is infinite, hence the rate of the mass transfer kinetics is infinite and the axial dispersion coefficient in the mass balance equation (Eq. 2.2) is zero. The differential mass balances for the two components are written  

Equation 8.2 states that the two components compete for interaction with the stationary phase, following the Langmuir competitive model. Since the stationary phase concentration of each component at equilibrium is a fimction of both concentrations in the mobile phase, the two partial differential Eqs. 8.1a and 8.1b are coupled. This coupling increases considerably the complexity of the mathematical problem, compared to the single-component case. 

The initial condition for the solution of the system of Eqs. 8.1a and 8.1b corresponds to a column filled with pure mobile phase  

The boxmdary condition corresponds to the injection of a rectangular pulse of finite width, tp, and height, C°, C - Because the column efficiency is infinite in the ideal model, we can write the boxmdary condition  

More generally, the injection will be characterized by the concentration profile, Q(f,0) = j(f), the ratio ( i(f)/ 2(f) remaining coiistant dirring the injection. 

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