pfo {PUPAK}

Non-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(t, qt, 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 this parameter is not defined, it will be estimated.

Value

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

Author(s)

Jeff Ryan S. Magalong

Joshua Z. DelaCruz

Jeann M. Bumatay

Chester C. Deocaris

References

Lagergren, S. (1898), Zur theorie der sogenannten adsorption gelöster 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 (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 <- 4.68
pfo(t,qt,qe)