maw.lm {PUPAK}

Linear Matthews and Weber Diffusion Model

Description

The Matthews and Weber Diffusion Model is used in determining the rate constant for film diffusion where it assumes that intraparticle diffusion can be neglected at the early period of contact. Derived from Fickien’s law application, the solute concentration in the liquid phase in this model is expressed as a function of solute concentration difference in the liquid phase and at the adsorbent surface (Prasad & Srivastava, 2009).

Usage

maw.lm(t, Ct, Co)

Arguments

t

the numerical value for contact time

Ct

the numerical value for the concentration of the adsorbent at time t. This parameter should not contain a value equal to zero. Any row(s) that contain(s) value of Ct equal to zero will be automatically removed to proceed with the calculation.

Co

the numerical value for the initial concentration of the adsorbent

Value

the linear regression and the parameter estimation for the Matthews and Weber diffusion model

Author(s)

Jeff Ryan S. Magalong

Joshua Z. Dela Cruz

Jeann M. Bumatay

Chester C. Deocaris

References

Mathews, A. P., &; Weber, W. J. (1984) <doi:10.1080/00986448408940104> Modeling and parameter evaluation for adsorption in slurry reactors. Chemical Engineering Communications, 25(1-6), 157-171.

Krishna Prasad, R., & Srivastava, S. N. (2009) <doi:10.1016/j.cej.2008.05.021> Sorption of distillery spent wash onto fly ash: Kinetics and mass transfer studies. Chemical Engineering Journal, 146(1), 90–97.

Examples

t <- c(0,15,30,45,60,75,90,105,120)
Ct <-c(10.000,8.141,8.056,7.949,7.863,7.799,7.778,7.756,7.692)
Co <- 10
maw.lm(t,Ct,Co)