Nonlinear Modelling of Kinetic Data Obtained from Photocatalytic Mineralisation of 2,4-Dichlorophenol on a Titanium Dioxide Membrane

Table 1

Parameters^♥, 𝑘₁ and 𝐾₁, 𝑘₂ and 𝐾₂, able to fit the whole photomineralisation curve, following Scheme (1), at various values of absorbed power per unit length of membrane expressed in W⋅cm^-1. They were obtained by optimisation of kinetic curves, by using the set of differential equations corresponding to kinetic model of Scheme (1). All the parameters are expressed in ppm of carbon (mass of C/volume, mg/L) and refer to the photodegradation of DCP in aqueous solutions, in the presence of stoichiometric hydrogen peroxide as oxygen donor (treated volume of the aqueous solutions 24.0 L ; membrane length 100.0±0.5 cm ; ratio between overall reaction volume and membrane length 160 ± 6 cm³/cm²; 𝑃𝐻𝑂𝑇𝑂𝑃𝐸𝑅𝑀BIT/313 membranes immobilising 30 ± 3 wt.% TiO₂, in the absence of any photopromoter).

Absorbed power per unit length of membrane (W⋅cm^-1)	𝑘1 (ppm C/min)	𝑘2 (ppm C/min)	𝐾1 (ppm C)^-1	𝐾2 (ppm C)^-1
0.15	0.821(3)	0.159(3)	0.081(5)	0.076(3)
0.30	1.64(4)	0.321(3)	0.079(3)	0.078(3)
0.70	3.61(5)	0.671(4)	0.080(4)	0.081(3)
0.90	4.32(6)	0.789(4)	0.076(4)	0.075(3)
1.50	5.86(8)	1.06(4)	0.077(3)	0.077(4)
2.00	6.54(9)	1.13(3)	0.078(5)	0.079(3)
3.00	6.49(8)	1.17(6)	0.077(3)	0.078(3)
4.00	6.51(7)	1.15(7)	0.080(4)	0.079(3)

^♥Uncertainties are indicated between parentheses and expressed, relatively to the last digits, as probable errors of the means of optimised values from nine sets of runs in the range of concentrations tested.