richie: Non-Linear Ritchie's Equation

In PUPAK: Parameter Estimation, and Plot Visualization of Adsorption Kinetic Models

Non-Linear Ritchie's Equation

Description

The Ritchie's Equation is a well-known empirical rate equation for gas particle adsorption on solid surfaces. Assuming that the rate of adsorption is exclusively determined by the percentage of vacant sites at time t (Kaki, Gögsu, Altindal, Salih, and Bekaroglu, 2020).

Usage

richie(t, qt, qe, n)

Arguments

t	the numerical value for contact time
qt	the numerical value for the amount adsorbed at time t
qe	the numerical value for the amount adsorbed at equilibrium. If this parameter is not defined, it will be estimated.
n	the Richie's equation order of reaction. If the parameter value n=1, the function will proceed to first-order Richie's equation. If the value n=2, the function will proceed to second-order Richie's equation, and if the n is not defined, the value of n will be estimated.

Value

the non-linear regression and the parameters estimation for the Richie adsorption kinetic model

Author(s)

Jeff Ryan S. Magalong

Joshua Z. DelaCruz

Jeann M. Bumatay

Chester C. Deocaris

References

Ritchie, A. G. (1977) <doi:10.1039/F19777301650> Alternative to the Elovich equation for the kinetics of adsorption of gases on solids. Journal of the Chemical Society, Faraday Transactions 1: Physical Chemistry in Condensed Phases, 73, 1650-1653.

Kaki, E., Gögsu, N., Altindal, A., Salih, B., &; Bekaroglu, Ö. (2020) <doi:10.1142/S1088424619500196> Synthesis, characterization and VOCs adsorption kinetics of diethylstilbestrol-substituted metallophthalocyanines. In Porphyrin Science By Women (In 3 Volumes) (pp. 991-999). World Scientific Publishing Co.

Examples

t <- c(0,15,30,45,60,75,90,105,120)
qt <- c(0.000,3.718,3.888,4.102,4.274,4.402,4.444,4.488,4.616)
qe <- 4.68
richie(t,qt,qe)
richie(t,qt,n=3)

PUPAK documentation built on July 1, 2022, 5:05 p.m.