pfo.lm {PUPAK}

Linear Pseudo-First-Order Adsorption Kinetic Model

Description

The Pseudo-First-Order Adsorption Kinetic Model follows the Linear Driving Force model (LDF) which states that the rate of mass transfer is equal to the transfer coefficient and the difference between the amount adsorbed and the amount adsorbed in equilibrium. This model is an empirical rate equation known to describe the rate of sorption in liquid-phase systems. The PFO model is not suitable for the whole adsorption reaction since the rate of adsorption decreases until it reaches the maximum adsorption capacity, and thus, the rate is zero at equilibrium (Plazinski, Rudzinski, and Plazinska, 2009).

Usage

pfo.lm(t, qt, qe, est.qe)

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 the value for qe is not given, the highest qt value will be considered as the qe.

est.qe

option for calculating estimated qe. If the value is FALSE, it will calculate linear regression with fixed intercept. If the value is TRUE, it will calculate the linear regression in form y=mx+b. The default value for est.qe is FALSE.

Value

the linear regression and the parameter estimation for the Pseudo First Order Model

Author(s)

Jeff Ryan S. Magalong

Joshua Z. Dela Cruz

Jeann M. Bumatay

Chester C. Deocaris

References

Lagergren, S. (1898), Zur theorie der sogenannten adsorption gelster stoffe, Kungliga Svenska Vetenskapsakademiens. Handlingar, 24 (4) : 1-39.

Plazinski, W., Rudzinski, W., &; Plazinska, A. (2009) <doi:10.1016/j.cis.2009.07.009> Theoretical models of sorption kinetics including a surface reaction mechanism: A review. In Advances in Colloid and Interface Science</i> (Vol. 152, Issues 1-2, pp. 2-13).

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 <- 4.8
pfo.lm(t,qt,qe,est.qe=FALSE)