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

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18.7 Mass Transfer Solutions for Linear Systems

The solution of differential equations is much simpler when the equations are linear. The various sets of differential equations for mass transfer discussed in Section 18.6 are all linear if the equilibrium isotherm is linear and the system is isothermal. (Note that nonisothermal operation introduces the Arrhenius relationship, Eq. (18-7), which is decidedly nonlinear.) This section is limited to isothermal operation of systems with linear isotherms Eqs. (18-5b) or (18-6b).

One characteristic of the solutions for Eqs. (18-54) and (18-55) for linear isotherms is mass transfer resistances and axial dispersion both cause zone spreading that looks identical if the mass transfer parameters or axial ...

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