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Photodegradation Efficiencies in a Photo-CREC Water-II Reactor Using Several TiO2 Based Catalysts

  • Benito Serrano Rosales , Jesus Moreira del Rio , Jesus Fabricio Guayaquil and Hugo de Lasa EMAIL logo
Published/Copyright: May 14, 2016

Abstract

This study reports phenol degradation using several TiO2 photocatalysts (DP25, Anatase 1, Hombikat UV-100, Anatase 2) in a Photo-CREC Water-II Reactor. The physicochemical properties of the photocatalysts used, such as crystallinity, superficial area, and pore size distribution are reported. Reactor efficiencies are calculated using both Quantum Yields (QYs) and Photochemical and Thermodynamic Efficiency Factors (PTEFs). This is accomplished using phenol and phenol intermediate photoconversion rates. This allows the determination of hydroxyl radical consumption rates, at every step of the photodegradation process. With these data, and with the absorbed photon rates, energy efficiencies are calculated. It is shown that for the best performing photo catalysts the maximum QYs reach 50 % levels. These favourable photoconversion efficiencies confirm the critical importance of having available highly performing photocatalysts and photoreactors, such is the case of Photo-CREC Water-II Reactor unit.

Notation

CiConcentration of i Species,μmole m–3 or ppmC
Ci,e.Concentration of i Species at Equilibrium,μmole m–3 or ppmC
kikkinetic constant associated with the species “i” being converted in species “ks–1
KiAdsorption Constant for i Species,m3 μmole–1
Ki*Dimensionless Adsorption Constant or “i” Species-
Ni,adsAdsorbed “i” speciesμmole
Ni,Li” species in the liquid phaseμmole
Ni,TTotal “i” species distributed in liquid and sorbed phasesμmole
qiConcentration of “i” species in solid phaseμmole g–1
qi,eConcentration of “i” species in solid phase at equilibriumμmole g–1
qi,mMaximum concentration of “i” species in solid phaseμmole g–1
QabsRate of Irradiated Energy Absorbed in a Photocatalytic Reactor,W
QusedRate of Irradiated Energy Used to Form OH Radicals,W
riReaction rate of Component iμmole gcatirr–1 s–1
ri,jRate of Component i in reaction Step j,μmole gcatirr–1 s–1
rOH,TTotal Rate of OH radicals consumed per unit weight of irradiated catalyst,μmole gcatirr–1 s–1
rOH,jRate of OH radicals consumption in reaction Step j,μmole gcatirr–1 s–1
RkRate of Photoconversion in Step kμmole gcatirr–1 s–1
tIrradiation Timemin
VTotal Reactor Volumem3
W
WirrWeight of Irradiated Photocatalystg
Greek symbols
ΔHOHEnthalpy of Formation of an OH GroupJ mol–1
γFraction of Irradiated Energy with a Wavelength Smaller than 388 nm-
ηOHFraction of Photon Energy Used in Forming an OH Radical-,
ν0H,jStoichiometric coefficient for the consumption of OH Radical in step “j-
νi,jStoichiometric coefficient for the consumption of i species in step “j-
Acronyms
LVRPALocal Volumetric Rate of Photon Absorption
OHHydroxyl Radicals
ppmCgCarbon/g of solution × 106
QYQuantum Yield
QYavAverage Quantum Yield
PTEFPhotochemical Thermodynamic Efficiency Factor
PTEFavAverage Photochemical Thermodynamic Efficiency Factor

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Appendix I. Adsorption constants for the various photocatalysts

Table 4:

Adsorption constants and maximal quantities of several chemical species absorbed on different TiO2 catalysts (Moreira et al., 2012).

CatalystPhenolHydroquinoneCatecholAcetic acid
KiACIKACIKACIKACI
DP250.1070.0310.0950.0450.1390.0670.0210.018
Anatase 10.1710.0590.2400.1300.1560.1340.1680.143
Hombikat UV-1000.1570.0670.1380.0750.2030.1410.0580.019
Anatase 20.2480.1180.3390.1430.2330.0560.0770.027
qi,max,iCIqmaxCIqmaxCIqmaxCI
DP251.9910.2001.6970.3091.1320.1590.4320.280
Anatase 11.8880.1621.8140.1870.4580.1060.0700.015
Hombikat UV-1000.7840.0890.0720.1080.1530.0230.0930.016
Anatase 21.3240.1961.1740.0700.5280.0250.1730.027

From the results reported in Table 4, it can be concluded that KA chemical species adsorption constants for the different TiO2 catalysts studied, followed the sequence: phenol adsorption > hydroquinone adsorption > catechol adsorption > acetic acid adsorption. This same trend applies to the qi,max, the maximum “i” chemical species adsorbed amount per unit catalyst weight.

Appendix II. Accounting total changes of chemical species

For phenol, a Langmuir isotherm can be considered as follows:

(40)qph=KphqmphCph1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac

In addition, for catechol (o-DHB), hydroquinone (p-DHB) and carboxylic acids, the following equation can be postulated:

(41)qoDHB=KoDHBqmoDHBCoDHB1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac
(42)qpDHB=KpDHBqmpDHBCpDHB1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac
(43)qac=KacqmacCac1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac

The total derivative for phenol is then:

(44)dqphdt=qphCphdCphdt+qphCoDHBdCoDHBdt+qphCpDHBdCpDHBdt+qphCacdCacdt

Using the eq. (6) for phenol, and substituting this into eq. (47):

(45)dCph,Tdt=dCphdt+WV{qphCphdCphdt+qphCoDHBdCoDHBdt+qphCpDHBdCpDHBdt+qphCacdCacdt}

Furthermore, when evaluating the partial derivatives involved in eq. (45), the results can be expressed as:

(46)qphCph=Kphqmph+KoDHBKphqmphCoDHB+KpDHBKphqmphCpDHB+KacKphqmphCac(1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac)2
(47)qphCoDHB=KoDHBKphqmphCph1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac2
(48)qphCpDHB=KpDHBKphqmphCph1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac2
(49)qphCac=KacKphqmphCph(1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac)2

Replacing eq. (46) into (49) in eq. (45), the following is obtained,

(50)dCph,Tdt=dCphdt1+Kph

With

(51)Kph=WVKphqmph+KoDHBKphqmphCoDHB+KpDHBKphqmphCpDHB+KacKphqmphCac1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac2+KoDHBKphqmphCph1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac2dCoDHBdCph+KpDHBKphqmphCph1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac2dCpDHBdCph+KacKphqmphCph1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac2dCacdCph

This expression accounts for the adsorption of phenol and its intermediates, during the reaction process. A similar process calculation can be used for the other species (o-di-hydroxyphenol, p-di-hydroxyphenol, carboxylic acids) as reported by Serrano et al. (2009)

Appendix III. PTEF definition accounting for adsorbed species

(52)rOH,T=[4rph,1+2rph,2+2rph,3+28rph,4+0+2rpDHB,6+26rpDHB,7+8rac,8]
(53)rOH,T=VWirr+4dCph,1dt1+Kph+2dCph,2dt1+Kph+2dCph,3dt1+Kph+28dCph,4dt1+Kph+2dCpDHB,6dt1+KpDHB+26dCpDHB,7dt1+KpDHB+8dCac,8dt1+Kac

Note that the change of concentrations can be considered to display a Langmuir-Hinselwood form as follows:

(54)dCi,jdt=νi,jkiCi1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KphCph

Replacing eq. (54) in eq. (14), results in the following:

(55)rOH,T=VWirr4kphAcCph1+Kph+2kphoDHBCph1+Kph+2kphpDHBCph1+Kph+28kphCO2Cph1+Kph+2kpDHBAcCpDHB1+KpDHB+26kpDHBCO2CpDHB1+KpDHB+8kAcCO2CAc1+KAc1+KphCph+KoDHBCoDHB+KpDHBCpDHB+KacCac

Furthermore, substituting eq. (55) into the PTEF equation yields the following:

(56)PTEF=rOHΔHOHWirrQabs=((4kphac+2kphoDHB+2kphpDHB+28kphCO2)Cph(1+Kph)+(2kpDHBac+26kpDHBCO2)CpDHB(1+KpDHB)+8kacCO2CAc(1+KAc))/(1+KphCph+KphoDHBCoDHB+KpDHBCpDHB+KAcCAc)ΔHOHVQabs

Appendix IV. Estimated ki kinetic parameters

Table 5:

Estimated kinetic parameter ki for DP25 in 1/s.

ParameterSymbolValue95 % CI
kphAck11.007 × 10–33.848 × 10–4
kphoDHBk21.483 × 10–36.931 × 10–4
kphpDHBk33.610 × 10–38.697 × 10–4
kphCO2k44.189 × 10–34.641 × 10–4
koDHBpDHBk51.595 × 10–29.040 × 10–3
koDHBAck69.417 × 10–4N/A
kpDHBCO2k71.273 × 10–21.954 × 10–3
kAcCO2k87.840 × 10–33.190 × 10–3
Table 6:

Estimated kinetic parameter ki for Anatase 1 in 1/s.

ParameterSymbolValue95 % CI
kphoDHBk11.004 × 10–21.722 × 10–3
kphpDHBk28.503 × 10–31.642 × 10–3
kphCO2k34.907 × 10–35.274 × 10–4
koDHBAck44.508 × 10–29.268 × 10–3
kpDHBAck52.135 × 10–25.098 × 10–3
kAcCO2k64.546 × 10–34.318 × 10–4
Table 7:

Estimated kinetic parameter ki for Hombikat UV-100 in 1/s.

ParameterSymbolValue95 % CI
kphBQk11.134 × 10–34.774 × 10–4
kphpDHBk21.622 × 10–35.616 × 10–4
kphCO2k35.844 × 10–32.411 × 10–4
kBQpDHBk41.870 × 10–29.584 × 10–3
kpDHBAck51.487 × 10–22.060 × 10–3
kAcCO2k64.381 × 10–21.325 × 10–2
Table 8:

Estimated kinetic parameter ki for Anatase 2.

ParameterSymbolValue95 % CI
kphoDHBk12.656 × 10–31.023 × 10–3
kphpDHBk28.319 × 10–31.205 × 10–3
kphCO2k39.202 × 10–36.635 × 10–4
koDHBpDHBk42.734 × 10–21.316 × 10–2
kpDHBAck58.918 × 10–32.070 × 10–3
kpDHBCO2k61.231 × 10–23.284 × 10–3
kAcCO2k71.395 × 10–24.455 × 10–3
Published Online: 2016-5-14
Published in Print: 2016-6-1

©2016 by De Gruyter

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