The Generalized Bootstrap Problem

The above relationships between the and the are special cases of a more general expression we will derive below. The generalized determinacy condition is written in the form 

The total flux N, may now be expressed in terms of the diffusion fluxes as 

On the other hand, for nonequimolar distillation the p- may be set equal to the molar latent heats of vaporization 

For Stefan diffusion we make all the p- zero except one that may take any nonzero value. 

For situations where the stoichiometry of a chemical reaction controls the flux ratios it is preferable to proceed somewhat differently. Equations 7.2.9 may be combined in the form of Eq. 7.2.15 with given by 

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