AN INVESTIGATION OF ADVANCED OXIDATION PROCESSES IN WATER TREATMENT GAVIN W VATI SCHWIKKARD MScE ng (Natal); BScEng (Natal) Submitted in fulfilment of the academic requirements for the degree of Doctor or Philosophy in the School of Chemical Engineering, University of Natal , Durban. February 2001 ii ABSTRACT The deteriorating water quality in South Africa and changing legislation requiring the industrial implementation of waste minimisation and poUution prevention technologies has highlighted the need for the investigation of new effiuent treatment technologies such as advanced oxidation processes. TIlls investigation details the evaluation of ultrasound, an emerging advanced oxidation process, to degrade organic compounds during water treatment. The objectives of the investigation included the design of a suitable ultrasonic laboratory reactor to investigate ultrasound chemistry and the sub-processes occurring during sonication. Atrazine was used as a model compound to compare the perfonnance of ultrasound with that of ozone and hydrogen peroxide, already established advanced oxidation processes. Recommendations have also been made for the scale·up of ultrasonic processes . . A 500 mL ultrasonic cell containing an ultrasonic horn as an energy source was designed and constructed. The measurement of hydrogen peroxide concentration was used as a tool to indicate the process conditions under which the formation of free radical reactions during sonication are enhanced.. These include the application of oxygen and air sparging or the addjtion of a commercial source of hydrogen peroxide. It was found that oxygen sparging and a high acoustic p:lwer input should be used in ultrasonic processes with a short retention time, and conversely, that air sparging and a lower acoustic energy source should be used in processes with a long retention time. A flow loop system should be considered to maximise oxidation both within and beyond the sonicated zone, gas sparging should only occur within the sonication zone else the degradation of hydrogen peroxide is encouraged. Ultrasound is most effectively applied in water treatment as a pretreatment stage in combination ",·ith other technologies and not as a stand-alone process. Atrazine was used. as a model compound to compare the performance of ultrasound with ozone because of its persistence in the environment and resistance to degradation. Atrazine was degraded during sonication and ozonation. degradation increased wim the addition of hydrogen peroxide. OLone decomposition (and hence free radical reactions) was enhanced when ozone was combined with ultrasound or hydrogen JXroxide. Enhanced ozone decomposition during ozonation combined with sonication is due to the conditions (high temperatures and pressures) as well as the free radical reactions occurring within the collapsing cavitation bubbles and at the gas-liquid interface. The enhancing effect of combining ultrasound with ozone was greatest at the low ozone concentrations typically applied during water treatment. Atrazine degradation during sonication and ozonation is predominantly due to the reaction with hydro:\-yl radicals. Atrazine degradation products identified using gas chromatography and mass spectrometI)' were deethylatrazine. hydroxyatrazine and deethyldeisopropylatnlZine (tentatively identified). Hi PREFACE I, Gavin Schwikkard, declare that unless indicated, this thesis is my own work and that it has not been submined, in whole or in part, for a degree at another University or Institution. GW SCHWIKKARD February 200t iv ACKNOWLEDGMENTS I would like to express my thanks and appreciation to the following people and organisations who have contributed. to the investigation: The Water Research Commission and Pollution Research Group for funding the investigation. Diarec Diamond Sales cc for assistance in acquiring the ultrasonic horn. Umgeni Water for the loan of an ozone generator. The Foundation for Research Development for personal funding during the investigation. Sasol for the postpOnement of my 00rsary obligation. My supervisor. Prof. C Buckley. for his dedication. advice and commitment to excellence. Mr C Brouckaert for advice on process modelling. Prof. 0 Mulholland of the School of Chemistry and Applied Chemistry for the use of HPLC equipment. Mr K Robertson and Mr L Henwood from the workshop of the School of Chemical Engineering for the construction of the u1trasonic cell and for assistance with equipment maintenance. The laboratory technicians, Ms D Harrison,. Ms S WadJey and Mr B Pare!, for their technical support. Ms S Freese from Umgeni Water for advice on setting up the Olone system. Ms A Hansa from the ML Sultan Technikon for assistance with the identification of degradation products. Mr R Coetzer from Sasol Technology for assistance and advice with statistical modelling. Mr I Vorster from the Rand Afrikaans University for mass spectroscopy analysis. My feUow graduate students for their friendship and experiences we shared learning from onc another. My family, David, Dorothy, Mandy and Joanne, for their continual encouragement and support throughout the investigation. My wife. Sianne. for performing the HPLC atrazine analysis, assisting with the interpretation of mass spectra and for the sacrifices she made during the writing of this thesis. And to God. the Father. Son and Holy Spiril, who add meaning to life. Figures Tables Nomenclature Abbreviations Glossary 1. INTRODUCTION I. I Water resources in South Africa 1.2 Water legislation in South Africa 1.3 Advanced oxidation technologies 1.4 Project background 1.5 Project objectives 1.6 Thesis outline 2_ ULTRASOUND 2.1 History of ultrasound 2.2 Cavitation 2.2.1 Fonnation of ultrasonic cavitation 2.2.2 Classification of cavitation 2.2.3 Equations of cavitation bubble dynamics 2.2.4 Cavitation phenomena 2.2.4. 1 Sonoluminescence 2.2.4.2 Ca\;t.ation noise 2.3 Sonochemistry 2,3.1 Chemical effects 2.3. 1. 1 Site of sonochemical reactions 2.3. 1.2 Effects of dissolved gas 2.3.2 Physical effects v CONTENTS xiii xxi XXXIII ~ X,.xxvii 1-1 1-3 1-6 1-8 1-9 J-ll 2-1 2-2 2-2 2-3 2-5 2-11 2-11 2-16 2-17 2- 17 2- 18 2-24 2-26 Contents conI. 2.4 Applications of u1trasound 2-28 2.4.1 PhysicaJ applications 2-28 2.4.2 ChemicaJ applications 2-29 2.4.2.1 Organic synthesis 2-31 2.4.2,2 Sonocata1ysis 2-34 2.4.2.3 Polymer chemistry 2-36 2.4.2.4 Sonoelectrochemistry 2-38 2.4.2.5 Sonocrystallization 2-39 2.4.3 MedicaJ applications 2-40 2.4.4 Industrial applications 2-41 2.4.4.1 Water and eft1uent treatment 2-42 2.4.4.2 Textile industry 2-48 2.4.4.3 Food industry 2-49 2.4.4 .4 Petroleum industry 2-50 2.4.4.5 Membrane processes 2-51 2.5 SonochemicaJ equipment 2-51 2.5.1 Transducers 2-52 2.5 .1.1 Piezoelectric transducers 2-52 2.5.1.2 Magnetostrictive transducers 2-53 2.5.2 Ultrasonic baths 2-53 2.5.3 Ultrasonic horns 2-56 2.5.4 Ultrasonic reactors 2-59 2.5.5 Equipment design and reactor modelling 2.{56 2.6 Concluding remarks 2-70 3. OZON}: AND HYDROGEN PEROXIDE CHEMISTRY 3. 1 O.lOne fundamentals 3-1 3. 1.1 Chemical and physicaJ properties 3-2 3.1.2 Classification of ozone reactions 3-3 3,1.3 Kinetics of ozone decomposition 3-6 3.2 Ozone in water treatment 3-13 3.2 .1 History of ozone use 3- 14 3.2 .2 Ozone generation and transfer 3-15 Contents cont. 3.2.3 Application 3-1 9 3.2.3.1 Potable water treatment 3-1 9 3.2.3.2 lndustria] effiuent treatment 3-23 3.3 Hydrogen peroxide 3-24 3.3.1 Chemical and physical properties 3-26 3.3.2 Application in water treatment 3-27 3.4 Concluding remarks 3-29 4. ATRAZINE CHEMISTRY 4.1 Characteristics of atrazine 4-1 4.1.1 Discovery 4-2 4. 1.2 Chemical and physical properties 4-2 4. 1.3 Toxicity 4-3 4.2 Atrazine in the environment 4-4 4.2.1 Application and usage 4-5 4.2.2 Atrazine in soil 4-6 4.2.2.1 Transformation 4-6 4.2.2.2 Retention 4-1 1 4.2.3 Atrazine in aquatic systems 4-\3 4.2.3. 1 Groundwater 4- 13 4.2.3.2 Surface water 4-14 4.2.4 Mode of action in plants 4-1 6 4.3 Auazine in water treatment 4-1 9 4 .3. 1 Ozonation 4·23 4.3.2 Ultraviolet radiation 4-33 4.3.3 Ultrasonic degradation 4-39 4 .3 .4 Biological treatment 4-41 4.4 Concluding remarks 4-45 5. EXPERIMENTAL DESIGN 5.1 Ultrasonic equipment 5-1 5. 1.1 Ultrasonic horn 5-1 Contents cont. 5. 1.2 Ultrasonic cell 5. 1.2.1 Frequency 5.1.2.2 Acoustic power 5.1.2.3 Horn shape 5,1.2.4 Volume 5.1.2.5 Vessel type 5.1.2.6 Pressure 5.1.2.7 Mixing 5.1.2.8 Temperature 5.1.2.9 Gas saturation 5. 1.2.10 Sampling 5.2 3 Figures conL 2.18 Schematic diagram of a Sodeva Sonirube 2.19 Schematic diagram of a NearJie/d acoustic processor 2.20 Schematic diagram of an ultrasonic liquid whistle 3.1 Resonance structures of the ozone molecule 3.2 Schematic diagram of ozone concentration in the gas bubble, film layer and. bulk solution as described by the two-film theory 3.3 3.4 3.5 Reaction magram for the ozone decomposition process Reaction diagram for the ozone decomposition process in the presence of a solute B Reaction diagram for the ozone decomposition process in the presence of hydrogen peroxide and a solute B riv 2-64 2-64 2-66 3-1 3-3 3-7 3-9 3-1 2 3.6 Double-tube ozone generator 3-15 3.7 Counter-current bubble column for ozone transfer 3-1 7 3.8 A static mixer 3-18 3.9 Chemical structure of Orange 11 dye 3-24 3.10 Molecular structure of hydrogen peroxide 3-24 3.11 Commercial production ofhydragen peroxide via lIle 3utCH)xidation of an anthraquinone 3-25 4.1 4.2 4.3 H 4.5 4.6 4.7 4.8 4.9 compound Chemical SU'Ucture of atrazine Reaction pathway of the industrial preparation of atrazine Primary and secondary metabolites of atrazine Microbial degradation ofalrazine by a Nocardia strain Mineralisation pathway of atrazine Formation of deethylatrazine and deisopropylatrazine from simazine. cyanazine and propazine Photophosphorylation Reaction pathway of auazine hydroxylauon in maize Glutathione conjugate of atrazine in maize leaves 4-1 4-2 4-10 4-11 4-15 4-17 4-18 4-1 9 figures conL 4.10 Acid and alkaline hydrolysis of atrazine 4·20 4. 11 Reaction mechanism for the formation of dealkylated degradation products from the 4·21 reaction of atrazine with hydroxyl radicals 4 .12 Degradation pathway of the ozonation of atrazine 4·23 4.13 Reaction mechanism fo r the formation of dealkylated degradation products from the 4·24 direct reaction of atrazine with ozone at acidic pH 4 .14 Formation pathway of hydrolysed products during atrazine ozonation 5.1 Ultrasonic process system 5.2 Ultrasonic horn 5.3 Ultrasonic cell 5.4 Schematic diagram of ultrasonic cell 5.5 Mixing of potassium permanganate crystals in 500 mL of water during sonication and in the control without sonication ; (a) after 5 s of sonication and (b) the control after 10 min 5.6 5.7 5.8 5.9 6.1 6.2 6.3 6.4 Schematic diagram of the cooling system of the ultrasonic cell Schematic diagram of the gas lines Schematic diagram of the ozonation experimental setup QLone concentration in a 2,4 mL S·l OJl.)'gen gas stream generated by a Sortios ozone generator at voltages between 100 and 200 V Reduction in dissolved oxygen concentration in oxygen·saturated 'water during sonication, without sonication (control) and during nitrogen sparging without sonication Dissolved oxygen concentration in nitrogen., air· and oxygen·saturated water during sonication in the ultrasonic cell Hydrogen peroxide formation in nitrogen·, air· and oxygen·saturated water during sonication in the ultrasonic cell at an acoustic power of 57 W Hydrogen peroxide formation in the control during sonication in the ultrasonic cel1 at acoustic powers of 24 and 57 W 4-25 5-1 5-2 5-4 5-5 5-12 5-13 5-15 5·16 6-3 6-4 6"; 6-9 F&gUTe:J conL 6.5 6.6 6.7 6.8 6 .9 Hydrogen peroxide formation in nitrogen-saturated water during sonication in the ultrasonic cell at acoustic powers of 24 and 57 W Surface response diagrams of hydrogen peroxide concentration as a function of acoustic power and dissolved oxygen concentration during sonication of water in the ultrasonic cell Hydrogen peroxide degradation in nitrogen-, air- and oxygen-saturated water after sonication in the ultrasonic cell for 16 h Hydrogen peroxide formation in oxygen-saturated water in the ultrasonic cell during 15 min of sonication at an acoustic power of 57 W, 15 min without sonication and a further 15 miD with sonication Hydrogen peroxide formation in water during sonication in the ultrasonic cell at an acoustic power of 57 W with 15 min of oxygen saturation, 15 min of nitrogen saturation and a further 15 min of oxygen saturation 6_10 : Hydrogen peroxide formation in nitrogen-, air- and oxygen-saturated 0,28 mg L-t hydrogen peroxide solutions during sonication in the ultrasonic cell for I h at an acoustic power of 57 W 6. 11 : Hydrogen peroxide formation in nitrogen-, air- and oxygen-saturated 0,43 mg L-t hydrogen peroxide solutions during sonication in the ultrasonic cell for I h at an acoustic power of 57 W 6. 12 : Hydrogen peroxide formation in nitrogen-, air- and oxygen-saturated 0,72 mg L'] hydrogen peroxide solutions during sonication in the ultrasonic cell for 1 h at an acoustic power of 57 W 6.13 : Rates of hydrogen peroxide formation in 0,28; 0,43 and 0,72 mg L' \ commercial hydrogen peroxide solutions saturated with nitrogen, air and oxygen during sonication in the ultrasonic cell for I h at an acoustic power of 57 W 7. 1 7.2 Dissolved ozone concentration in water during ozo03tion (0,014 mg s·\), O2003lion combined with sonication (57 W), ozonation combined with hydrogen peroxide (40 mg L-l) and ozonation combined with sonication and hydrogen peroxide Surface response diagrams of dissolved ozone concentration in water during ozonation as a function of acoustic power and hydrogen peroxide concentration 6-10 6-13 6-16 6-21 6-23 6-24 6-24 6-26 7-3 7-7 Figures conL 7.3 7.4 7.5 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 Dissolved ozone concentration in water in the ultrasonic cell after a 20 min saturation period during ozonation (0,014 mg sO'), sonication (57 W) and ozonation combined with sonication Hydrogen peroxide concentration in water during ozonation (0,014 mg 5-1), sonication (57 W) and ozonation combined with sonication Surface response diagrams of hydrogen peroxide concentration as a function of acoustic power and ozone concentration during ozonation of water in the ultrasonic cell Alrazine concentration in a 5 mg L-1 atrazine solution in the ultrasonic cell over 3 h in the absence of ultrasound without and with oxygen sparging Formation of dealkylated degradation products from the reaction of attazine with hydroxyl radicals Formation of hydrolysed degradation products from the reaction of atrazine with hydro:\:yl radicals Dissolved ozone concentration in water and a 5 mg L- 1 atrazine solution during ozonation (0,014 mg 5-\ ozonation combined with sonication (57 W), ozonation combined with hydrogen peroxide (40 mg L-1) and ozonation combined with sonication and hydrogen peroxide Formation of dealkylated degradation products from the direct reaction of atrazine with ozone Hydrogen peroxide concentration in water and a 5 mg L-1 atrazine solution in the ultrasonic cell during ozonation (0,014 mg 5-\ sonication (57 W) and ozonation combined with sonication Alrazine concentration in a nominal 5, 10 and 20 mg L-1 atrazine solution during sonication in the ultrasonic cell at an acoustic power of 57 W for 3 h Effect of oxygen and nitrogen sparging on the degradation of atrazine in a 5 mg L-\ atr3Zine solution during sonication in the ultrasonic cell at an acoustic power of 57 W over 3 h Atrazine concentration in a 5 mg L _1 atrazine solution during ozonation over 3 h at ozone production rates of 0,003 ; 0.014 ; 0,030 and 0,047 mg 5·\ xvii 7-9 7-10 7-12 8-2 8-4 8-5 8-{; 8-7 8-10 8-16 8-18 8-19 Fllfures conL 8.10 First order atraz.ine degradation in a 5 mg L·t atrazine solution during ozonation over 8·21 3 h at ozone production rates of 0,003; 0,014; 0,030 and 0,047 mg s'\ 8.11 Atrazine concentration in a 5 mg L'\ atrazine solution during ozonation over 3 hat 8-21 ozone production rates of 0,003; 0,0]4; 0,030 and 0,047 mg s'\ combined with sonication at an acoustic power of 57 W 8.12 First order atrazine degradation in a 5 mg L·1 atrazine solution during ozonation over 8-23 3 h at ozone production rates of 0,003; 0,014; 0,030 and 0,047 mg s'\ combined with sonication at an acoustic power of 57 W 8.13 Comparison of atrazine degradation rates in a 5 mg L·t atrazine solution during ozonation and ozonation combined with sonication 8.14 Atrazine concentration in a 5 mg L'\ atrazine solution with 40 mg L' \ hydrogen peroxide, hydrogen peroxide combined with sonication (57 W). hydrogen peroxide combined with ozonation (0,014 mg s'\) and hydrogen peroxide combined with sonication and ozonation 8-23 8-24 8. 15 HPLC chromatograms for the ozonation ofa 5 mg L'\ atrazine solution at an ozone 8-27 production rate of 0,047 mg L' \ 8.16 : HPLC chromatograrns for the ozonation ofa 5 mg L· t atrazine solution at an ozone 8-28 production rate of 0.047 mg L'\ combined with sonication at an acoustic power of 57 W 8. 17 HPLC chromatograms at 180 min for a 5 mg Lot atrazi ne solution during ozonation 8-28 (0,0 14 mg L'\) combined with hydrogen peroxide (40 mg L·I ) and ozonation combined with both sonication (57 W) and hydrogen peroxide 8.18 Mass spectrum of a 5 mg l ·1 alrazme solution 8.19 Molecular fragments generated during the ionisation of atrazine 8.20 Mass spectrum of deethylatrazine formed during the sonication and ozonation of a 5 mg L-1 atrazine solution for 3 h 8.2 1 Molecular fragments generated during the ionisation of deethylatrazine 8-29 8-30 8-31 8-32 Figures cont. 8.22 Mass spectrum of hydroxyatrazine formed during the sonication, ozonation and sonication combined with ozonation of a 5 mg L- 1 atrazine solution for 3 h 8.23 Compounds fonned during the ionisation of hydroxyatral.ine due to the ~-cleavage of the alipbatic amine side chains xix 8-32 8·33 8.24 : Mass spectrum of deethyldeisopropylatrnzine formed during the sonication, ozonation 8-34 Al A2 A3 and sonication combined with ozonation of a 5 mg L-1 atrazine solution for 3 h Hydrogen peroxide formation with a new and a machined horn tip Schematic diagram of the insulated vessel used in calorimetric experiments Temperature measurements in 500 mL of water in an insulated vessel during sonication over 40 min at transducer displacement amplitudes of 5. 8 and 11 }UtI A4 : Hydrogen peroxide concentration in water volumes of 100 to 1 000 mL during sonication with the low intensity ultrasonic horn A5 A6 Relationship between u1trasonic intensity and water volume during sonication with the Iov,' intensity ultrasonic horn Relationship between initial rate of hydrogen peroxide fonnation and u1trasonic intensity during sonication with the low intensity ultrasonic horn A 7 : Comparison of temperature profiles measured during sonication with the low i ntensi~' horn in 500 mL of water in the ultrasonic cell and in a beaker A.8 A9 Mixing of potassium permanganate crystals in 500 mL of water during sonication with the high intensity horn: (a) after 2 s and (b) after 5 s Mixing of potassium permanganate crystals in 500 mL of water without sonication; (a) after 10 min and (b) after 60 min A·2 A·5 A·5 A·8 A-I2 A-I3 A-14 A-16 A· 16 A 10 : Rotameter calibration for oxygen at regulator pressures of 200 and 300 kPa A-17 All : Ozone concentration in a 2.4 mL S·I oX1'gen gas stream generated by a Sorbios ozone A-19 B.I B.2 8.3 generator gas stream at voltage settings between 100 and 200 V Hydrogen peroxide calibration curve A Hydrogen peroxide calibration curve B Hydrogen peroxide calibration curve C B-2 B-4 B-6 Figures cont. 8 .4 Solubility of oxygen in water at 101,325 kPa and temperatures between ° and 40 °C 8-8 8 .5 Alrazine calibration curve 8-9 E. I Atrazine degradation in a 5 mg L-I auazine solution over 3 h during ozonation E-7 (0,003 mg S-I), sonication (57 W) and ozonation combined with sonication E.2 Atrazine degradation in a 5 mg L'I atrazine solution over 3 h during ozonation E-7 (0,0 14 mg s'\ sonication (57 W) and ozonation combined with sonication E.3 Atrazine degradation in a 5 mg L't atrazine solution over 3 b during ozonation E-8 (0,030 mg S'I), sonication (57 W) and ozonation combined with sonication E.4 : Atrazine degradation in a 5 mg L'l atrazine solution over 3 h during ozonation (0,047 mg s'\ sonication (57 W) and ozonation combined with sonication E.5 E.6 E.7 E.S Fraction ofundegraded auazine in a 5 mg L't atrazine solution after ozonation (0,0 14 mg S·I) for 45 min with hydrogen peroxide concentrations of 1, 5, 10, 25 and 50 mgL,1 Atrazine degradation in a 5 mg L'I atJazine solution with 40 mg L· I hydrogen peroxide. sonication (57 W) and sonication combined with hydrogen peroxide Atrazine degradation in a 5 mg L't atrazine solution with 40 mg L'I hydrogen peroxide. ozonation (0.01 4 mg S·I) and ozonation combined with hydrogen peroxide Atrazine degradation in a 5 mg L'I solution with 40 mg, L·I hydrogen peroxide. sonication (57 W) combined with ozonation (0,0 14 mg S'I) and sonication combined with ozonation and hydrogen peroxide E.9 : HPLC chromatogram ora 5 mg L'I atrazine solution E. IO : GC-MS chromatograms ofa 5 mg L'I atrazine solution after sonication (57 W). ozonation (0,047 mg S'I) and sonication combined with ozonation for 3 b E-S E-9 E-Il E-ll E-1 2 E-12 E-14 1.I 1.2 I.3 1.4 2.1 1'.2 2.3 2.4 2.5 2.6 3. 1 3.2 3.3 3.4 3.5 4.1 4.2 4.3 4.4 Classification of the water situation in a country Estimates of South African water demand per sector in 1990, 2000 and 2010 Standard oxidation/reduction potentials at 25 °C and 101,3 kPa of selected oxidising agents Rate constants for the reaction between hydroxyl radicals and selected compounds Effect of gas thennal heat conductivity on actual gas temperature in a cavity and on the measured sonoluminescence intensity Theoretical maximum temperature in a collapsing cavity calculated from mathematical hydrodynamic models Applications of ultrasound in water and effluent treatment Effect of reaction solution volume and size and shape of reaction vessel on sonochemica1 yield Parameters that affect cavitation Methods of reporting ultrasonic intensity Physical properties of ozone Classification of kinetic regime of gas absorption reactions according to the Hatta Dumber Classification of kinetic regime of gas absorption reactions according to diffusion and reaction limes Some kinetic studies of ozone decomposition in water Physical properties of hydrogen peroxide Chemical and physica1 properties of atrazine Acute toxicity of atrazine Goodfarming praclice programme for atrazine Second order rate constants for the reaction of atrazine and hydro:>,:)'1 radicals TABLES I-I 1-2 1-7 1-7 2- 13 2-19 2-48 2-54 2-66 2-67 3-2 3-4 3-5 3-10 3-26 4-2 4-3 4-5 4-22 Tables conL 4.5 4.6 4.7 Rate constants for the reaction of hydroxyl radicals with atrazine degradation products at 20 QC and pH "'" 7,5 to 8,1 Rate constants for the direct reaction between ozone and atrazine at pH 2, 7 and 12 Hatta numbers and kinetic regimes of ozone absorption for the direct reaction between ozone and atrazine at pH 2, 7 and 12 uii 4-22 4-26 4-27 4.8 Estimated contact times for advanced oxidation with ozone and hydrogen peroxide 4-30 4.9 Quantum yjeldof atrazine 4-36 4. 10 Removal of triazine herbicides with mixed liquor with different concentrations of 4-41 suspended solids 4.11 Effect of ozone pretreatment on atrazine biodegradation in soil columns after 50 d 4-43 5.1 Conversion of electrical power to acoustic power 5-4 5.2 Acoustic jXlwer and intensity of the U1trasonic process system 5-7 5.3 Comparison of the ultrasonic intensity of the Ultrasonic process system with that of 5-7 other sonochemical investigations using an ultrasonic horn 5.4 5.5 5.6 6 .1 6.2 6 .3 6.4 Comparison of the sample volume that can be sonicated in the ultrasonic cell with sample volumes of other sonochemica1 investigations Comparison of the ultrasonic cell with vessel types and volumes of other sonochemical investigations using an ultrasonic horn Average ozone concentration and weight percentage of ozone in a 2,4 mL S· 1 ox)'gen gas stream generated by the Sorbios ozone generator at voltages of 100, 130, 150 and 170 V E:-..-perimentai programme of the ultrasonic process investigation Rate of hydrogen peroxide formation in nitrogen-, a ir- and oxygen-saturated water during sonication in the ultrasonic cell for 20 miD at an acoustic power of 57 W Rate of hydrogen peroxide fonnation in nitrogen-saturated water and the control during sonication in the ultrasonic celJ at acoustic powers of24 and 57 W for 20 min Rate ofhydragen peroxide degradation over 3h in nitrogen-, air- and oxygen-saturated water after sonication in the ultrasonic cell for 16 h 5-9 5-10 5-17 6-1 6-7 6-11 6-1 6 Tables conL 6 .5 6.6 6.1 6.8 6.9 Rate of hydrogen peroxide formation in oxygen-saturated water and a control in the ultrasonic cell during 15 min of sonication at an acoustic power of 57 W, 15 min without sonication and a further 15 min with sonication Regression coefficients for the model of hydrogen peroxide formation in oxygen saturated water and a control during 15 min of sonication at an acoustic power of 57 W, 15 min without sonication and a further 15 min with sonication Rate of hydrogen peroxide formation in water during sonication in the ultrasonic cell at an acoustic iX'wer of 57 W with 15 m.in of oxygen saturation, 15 min of nitrogen saturation and a further 15 min of oxygen saturation Regression coefficients for the model of hydrogen peroxide formation in water during sonication in the ultrasonic cell at an acoustic power of 57 W with 15 min of oxygen saturation, 15 min of nitrogen saturation and a further 15 min of oxygen saturation Rate of hydrogen peroxide formation in 0,28; 0,43 and 0,72 mg L" hydrogen peroxide solutions saturated with nitrogen, air and oxygen during sonication in the ultrasonic cell at an acoustic power of 57 W xxiii 6-19 6-20 6-21 6-22 6-25 6.10 Bond dissociation energies 6-28 7.1 Experimental programme of the ozone process investigation 7-1 7.2 Rate of hydrogen peroxide formation in water in the ultrasonic cell during ozonation 7-11 (0,0 14 mg 5.1), sonication (57 W) and O2onation combined with sonication 1.3 1.4 8.1 8.2 8.3 Ozone dccomJX>Sition in water over 45 min during O2003tion, O2onation combined \\;th sonication. O2o03tion combined with hydrogen peroxide and ol onation combined with sonication and hydrogen peroxide Unrcactcd ozone in the solution, gas-phase and KI traps at the termination of the 45 min experiments as a fraction (%) of the generated ozone during the mass balance experiments Experimental programme of the atrazine investigation in the ultrasonic cell Rate of atrazine degradation in a 5 mg L-' atrazine solution in the ultrasonic cell over 3 h in the absence of ultrasound without and with oxygen sparging Rate of hydrogen peroxide formation in water and a 5 mg L-I atrazine solution during olo03tion (0,014 mg 5-'), sonication (57 W) and ozonation combined with sonication 1-15 8-1 8-3 Tables conL 8.4 8.5 8.6 8.7 8.8 8.9 OLone decomposition and atrazine oxidation in a 5 mg L- 1 atrazine solution over 45 miD during ozonation, ozonation combined with sonication, ozonation combined with hydrogen peroxide and ozonation combined with sonication and bydrogen peroxide Unreacte<1 ozone in solution, gas-phase and KJ traps at the termination of the 45 min experiments as a fraction (0/0) afthe generated ozone during the atrazine mass balance experiments Rate ofatrazine degradation in a nominal 5, 10 and 20 mg L-1 atrazine solution during sonication in the ultrasonic ceU at an acoustic power of 57 W over 3 h Rate ofatrazine degradation in a 5 mg LO ' atrazine solution during sonication with nitrogen and oxygen sparging in the ultrasonic cell for 3 h at an acoustic power of 57 W Initial rate of atrazine degradation in a 5 mg L-' atrazine solution during ozonation at ozone production rates 0[0,003; 0,014; 0,030 and 0,047 mg S·I Initial rate of atrazine degradation in a 5 mg L-1 atrazine solution during ozonation over 3 h at ozone production rates ofO,003 ; 0,014; 0,030 and 0,047 mg s' \ combined with sonication at an acoustic power of 57 W 8. 10 Initial rate of atrazine degradation in a 5 mg L'\ atrazine solution with 40 mg L'I hydrogen peroxide, hydrogen peroxide combined with sonication (57 W). hydrogen AI A2 A.3 A4 A5 A6 peroxide combined with ozonation (0, 14 mg S' I) and hydrogen peroxide combined with sonication and ozonation Hydrogen peroxide formation with a new and a machined horn tip Rate of hydrogen peroxide formation with a new and a machined horn tip over 20 min Calculated acoustic JX)wer during the sonication of 500 mL of water at transducer displacement amplitudes of 5, 8 and 1I ~ Conversion of electrical power to acoustic power Temperature measurements in 500 mL of water in an insulated vessel during sonication over 40 min at transducer displacement amplitudes of 5. 8 and 11 J.1m Comparison of acoustic JX)wer calculated from calorimeuy with acoustic JXlwer calculated from the power drawn by the transducer when loaded and Wl.1oaded IDV 8-13 8-14 8-17 8-18 8-20 8-22 8-25 A-2 A-3 A-3 A-4 A-6 A-7 Tables cottL A 7 Hydrogen peroxide concentration in water volumes of 100 to 1 000 mL during sonication A-S with the low intensity ultrasonic born AS : Mass of hydrogen peroxide generated in water volumes of lOO to 1 000 mL during sonication with the low intensity ultrasonic horn A 9 : Rate of hydrogen peroxide formation in water volumes of 100 to I 000 mL during sonication with the low intensity ultrasonic horn A 10 : Temperature profiles over 10 min in water volumes of 100 to 1 000 mL during sonication with the low intensity ultrasonic horn A-9 A-IO A-II All : Acoustic power and ultrasonic intensity in water volumes of 100 to 1 000 mL during A-12 sonication with the low intensity ultrasonic horn AI2 : Temperatures measured during sonication with the low intensity horn in 500 mL of A-14 water in the ultrasonic cell and in a beaker A 13: Comparison of the gradients of the temperature profiles measured in 500 mL of water A-15 during sonication with the low intensity horn in the ultrasonic cell and in a beaker A 14 : Comparison of acoustic power transferred during sonication with the low intensity horn A-I5 in 500 mL of water in the ultrasonic cell and in a beaker A 15 : Rotameter calibration for oxygen at regulator pressures of 200 and 300 kPa A-17 A 16 : Rotameter calibration for nitrogen at a regulator pressure of 200 kPa A-IS A 17 : Ozone concentration in a 2,4 mL S·I oxygen gas stream generated by a Sorbios ozone A-19 generator at voltage senings between 100 and 200 V A 18 : Weight percentage of ozone in a 2,4 mL S· I o:\)'gen gas stream generated by a Sorbios A-20 ozone generator at voltage settings between 100 and 200 V B. 1 Data for hydrogen peroxide calibration curve A B-3 8.2 Data for hydrogen peroxide calibration curve 8 B-5 B.3 Data for hydrogen peroxide calibration curve C 8-7 B.4 Solubility of ox)'gen in water at 101 ,325 kPa and temperatures between 0 and 40 °C 8 -9 B.5 Atrazine calibration curve data 8-lO Tables cont. Cl C2 C3 C4 C.5 C.6 C7 Dissolved oxygen concentration in oxygen-sarurated water during sonication, without sonication (control) and during nitrogen sparging without sonication Dissolved oxygen concentration in water saturated with air Dissolved oxygen concentration in nitrogen-, air- and oxygen-saturated water during sonication in the ultrasonic cell at an acoustic power of 57 W Hydrogen peroxide formation in nitrogen-, air- and oxygen-saturated water during sonication in the ultrasonic cell for 16 h at an acoustic power of 57 W Hydrogen peroxide formation in nitrogen-saturated water and the control during sonication in the ultrasonic cell at an acoustic power of 24 W Hydrogen peroxide degradation (normalised data) in nitrogen-, air- and oxygen saturated water after sonication in the ultrasonic cell for 16 h Hydrogen peroxide degradation in nitrogen-, air- and oxygen-saturated water after sonication in the ultrasonic cell for 16 h at an acoustic power of 57 W C-I C-2 C-2 C-3 C-4 C-5 C-6 C.8 : Hydrogen peroxide formation in oxygen-saturated water and a control in the ultrasonic C-7 cell during 15 min of sonication at an acoustic power of 57 W, 15 min without sonication and a funher 15 min with sonication C.9 : Hydrogen peroxide formation in water during sonication in the ultrasonic cell at an acoustic power of 57 W with 15 min of oxygen saturation. 15 min of nitrogen saturation and a funher 15 min of o)':ygen saturation C. IO : Hydrogen peroxide formation in nitrogen-, air- and oxygen-saturated 0,28 mg L· 1 hydrogen peroxide solutions during sonication in the ultrasonic cell for I h Cll Hydrogen peroxide formation in nitrogen-, air- and oxygen-saturated 0,43 mg L· I hydrogen peroxide solutions during sonication in the ultrasonic cell for I h C.12 : H~'drogen peroxide formation in nitrogen-, air- and oxygen-saturated 0,72 mg L·1 hydrogen peroxide solutions during sonication in the ultrasonic cell for I h D. I Dissolved ozone concentration in water during ozonation (0,0 14 mg 5.1) , ozonation combined with sonication (57 W), ozonation combined with hydrogen peroxide (40 mg Lol) and ozonation combined with sonication and hydrogen peroxide C-s C-9 C-9 C-IO D-I Tablt!S cam D.2 Dissolved ozone concentration in water in the ultrasonic cell after a 20 min saturation period during ozonation (0,014 mg s'\ sonication (57 W) and ozonation combined with sonication 0 .3 : Hydrogen peroxide concentration in water in the ultrasonic cell during ozonation (0,014 mg 5,1), sonication (57 W) and ozonation combined with sonication D.4 D.5 D.6 E. l E.2 E.3 E.4 E.5 Amount of OZOne generated in 45 min in the ozonation, ozonation combined with sonication. ozonation combined with hydrogen peroxide and ozonation combined with sonication and hydrogen peroxide mass balance experiments Volume of the gas spaces in the ultrasonic cell experimental setup Ozone and hydrogen peroxide measurements in water after the 45 min ozonation. ozonation combined with sonication, ozonation combined with hydrogen peroxide, and ozonation combined with sonication and hydrogen peroxide mass balance experiments AlraZine concentration in a 5 mg L'I atrazine solution in the ultrasonic cell over 3 h in the absence of ultrasound without and with oxygen sparging Dissolved ozone concentration in a 5 mg L'I atrazine solution during ozonation (0.0 14 mg 5.1) , ozonation combined with sonication (57 W), ozonation combined with hydrogen peroxide (40 mg L- I ) and ozonation combined with sonication and hydrogcn peroxide Hydrogen peroxide concentration in a 5 mg L'I atrazine solution in the ultrasonic cell during ozonation (0,014 mg 5'1), sonication (57 W) and ozonation combined v.ith sonication Ozone_ hydrogen peroxide and atrazine measurements in a 5 mg L-I atrazine solution after the 45 min ozonation. ozonation combined with sonication. ozonation combined with hydrogen peroxide and ozonation combined with sonication and hydrogen peroxide mass balance experiments Atrazine concentration in a 5, 10 and 20 mg L -I atrazine solution during sonication in the ultrasonic cell at an acoustic power of 57 W over 3 h xxvii 0-2 D-3 D-4 D-4 0-5 E-l E-2 E-3 E-4 E-5 Tables conL E.6 Effect of oxygen and nitrogen sparging on the degradation of atrazine in a 5 mg L- 1 atrazine solution during sonication in the ulttasonic cell at an acoustic power of 57 W over 3 h E .7 : Atrazine concentration in a 5 mg L-1 atrazine solution during ozonation over 3 h at ozone production rates of 0,003; 0,014; 0,030 and 0,047 mg S-I E.8 : Atrazine concentration in a 5 mg L-' atrazine solution during ozonation over 3 h at ozone production rates ofO,003; 0,014; 0,030 and 0,047 mg s'\ combined with sonication at an acoustic power of 57 W E.9 Fraction ofundegraded atrazine in a 5 mg L· 1 atrazine solution after ozooation (0,014 mg S-I) for 45 min with hydrogen peroxide concentrations of I , 5, 10, 25 and 50 mgL-1 E.lO Atrazine concentration in a 5 mg L-1 atrazine solution with 40 mg L·I hydrogen peroxide, hydrogen peroxide combined with sonication (57 W), hydrogen peroxide combined with ozonation (0,014 mg S·I) and hydrogen peroxide combined with sonication and ozonation F. l F.2 F.3 FA F.S Statistical analysis of the formation of hydrogen peroxide during sonication with a new and a machined horn tip (Table A I ; Figure A I) Statistical analysis of the measured acoustic power of the sonication experiments (Table A3) Slatistical analysis of the measured temperatures in 500 mL water in an insulated vessel during sonication at transducer displacement amplitudes of 5, 8 and 1I ~m (Table A.5; Figure A 3) Statistical anaJysis of the formation of hydrogen peroxide in water volumes of 100 to I 000 mL during sonication with the low intensity ultrasonic horn (Table A.7; Figure AA) Statistical analysis of the temperature measurements in water volumes of 100 to I 000 mL during sonication with the low intensity ultrasonic horn (Table AIO) uviii E-S E-6 E-6 E-9 E-IO F-3 F-3 F-4 F-6 F-8 Tables conL F.6 : Statistical analysis of the comparison of measured temperatures during sonication with the low intensity horn in SOO mL of water in the ultrasonic cell and in a beaker (Table All; Figure A7) F.7 Statistical analysis of the rotameter calibration for oxygen at regulator pressures of 200 and 300 kPa (Table A 15; Figure A 10) F ,8 : Statistical analysis of the rotameter calibration for nitrogen at a regulator pressure 0[ 200 kPa (Table A16) F.9 Statistical analysis of the dissolved ozone concentration in solution during ozonation with ozone generated by a Sorbios ozone generator in a 2,4 mL s'] oxygen gas stream at voltage settings between 100 and 200 V (Table A 17; Figure All) nix F-9 F-IO F-Il F-Il F. lO Statistical analysis of the atrazine calibration curve (Table 8 .5; Figure B.5) F·II F . 11 Statistical analysis of the dissolved oxygen concentration in oxygen-saturated water F-12 during sonication,. without sonication (control) and during nitrogen sparging without sonication (Table C.I ; Figure 6 .1) F. 12 : Statistical analysis of the dissolved oxygen concentration in water saturated with air F-13 (fable C.2) F.1 3 : Statistical analysis of the dissolved o:o.1'gen concentration in nitrogen-, air- and oxygen-saturated water during sonication in the ultrasonic cell at an acoustic power of 57 W (fable C.3: Figure 6 .2) F-1 3 F.14 Overall statistical analysis of the dissolved oX1'gen concentration in nitrogen-, air- and F-1 3 o,,:ygen-saturoted water during sonication in the ultrasonic cell (Table C.3; Figure 6.2) F. 15 Statistical analysis of the formation of hydrogen peroxide in nitrogen-, air- and ox·ygen- saturated water during sonication in the ultrasonic cell for 16 h at an acoustic power of 57 W (fable C.4; Figure 6.3) F-14 F. 16 : Statistical analysis of the formation of hydrogen peroxide in nitrogen-saturated water F-15 and the control during sonication in the ultrasonic cell at an acoustic power of 24 W (Table C.5; Figure 6.4; Figure 6.5) F.17 : Statistical analysis of the degradation of hydrogen peroxide (normalised data) in nitrogen-, air- and o,,:ygen-saturated water after sonication in the ultrasonic cell for 16 h at an acoustic power of 57 W (Table C.6: Figure 6.7) F-16 == Tables conL F. J 8 : Statistical analysis of the formation of hydrogen peroxide in oxygen-sarurated water F-17 and a control in the ultrasonic cell during 15 min of sonication. 15 min without sonication and a further 15 min with sonication (fable C.S; Figure 6.8) F. 19 : Statistical analysis of the formation of hydrogen peroxide in water during sonication F-17 in the ultrasonic cell with 15 min of oxygen saturation, 15 min of nitrogen saturation and a further 15 min of oxygen saturation (fable G.9; Figure 6.9) F.2D : Statistical analysis of the formation of hydrogen peroxide in nitrogen-, air- and oA"Ygen-saturated 0,28 mg L-1 hydrogen peroxide solutions during sonication in the u1trasonic cell for I h at an acoustic power of 57 W (fable C. lO; Figure 6.10) F.2 1 Statistical analysis oftbe formation of hydrogen peroxide in niuogen-. air- and oxygen-sarurated 0,43 mg L-1 hydrogen peroxide solutions during sonication in the uluasonic cell for 1 h at an acoustic power of 57 W (Table C. ll ; Figure 6. 11 ) F- 18 F-18 F.22 : Statistical analysis of !.he formation of hydrogen peroxide in nitrogen·, air- and F·19 oxygen-saturated 0,72 mg L· I hydrogen peroxide solutions during sonication in the ultrasonic cell for 1 h at an acoustic power of 57 W (fable C.12; Figure 6.12) F.23 Statistical analysis of the measured dissolved ozone concentration in water during ozonation (0,0 14 mg s"). ozonation combined with sonication (57 W). ozonation combined with hydrogen peroxide (40 mg L'I) and ozonation combined with sonication and hydrogen peroxide (Table 0 .1; Figure 7.1) F-20 F.24 Statistical analysis of the dissolved ozone concentration in water in the ultrasonic cell F-2 1 after a 20 min saturation period during ozonation (0,014 mg S·I ). sonication (57 W) and ozonation combined with sonication (Table 0 .2; figure 7.3) F.25 : Statistical analysis of lhe formation of hydrogen peroxide in water in the ultrasonic F-22 ceD during ozonalion (0.0 14 mg S·I), sonication (57 W) and ozonation combined 'with sonication (fable 0 ,4; Figure 7,4) F.26 : Statistical analysis of the measured ozone input in the 45 min ozonation. ozonation F-22 combined with sonication. ozonation combined with hydrogen peroxide and ozonation combined with sonication and hydrogen peroxide mass balance experiments (fable 0 ,4) Tables corrL F.27 Statistical analysis of the ozone and hydrogen peroxide measurements in water after F-23 the 45 min ozonation, ozonation combined with sonication, ozonation combined with hydrogen peroxide, and ozonation combined with sonication and hydrogen peroxide mass balance experiments (Table 0 .6) F .28 Statistical analysis of the atrazine concentration in a 5 mg L-I atrazine solution in the ultrasonic cell over 3 b in the absence of ultrasound without and with oxygen sparging (fable E. I ; Figure 8. 1) F.29 Statistical analysis of the measured dissolved ozone concentration in a 5 mg L- 1 atrazine solution during ozonation (0,014 mg S-I), ozonation combined with sonication (57 W), ozonation combined with hydrogen peroxide (40 mg L- I ) and ozonation combined with sonication and hydrogen peroxide (Table E .2; Figure 8.4) F.30 Statistical analysis of the formation of hydrogen peroxide in a 5 mg L-1 atrazine solution in the ultrasonic ceU during ozonation (0,014 mg s·\ sonication (57 W) and ozonation combined with sonication (Table E .3 ; Figure 8.6) F .3 1 : Statistical analysis of the ozone, hydrogen peroxide and atrazine measurements in a 5 mg L-1 atrazine solution after the 45 min ozonation, ozonation combined with sonication, ozonation combined with hydrogen peroxide and ozonation combined with sonication and hydrogen peroxide mass balance experiments (Table E.4) F.32 : Statistical analysis of the atrazine concentration measured in a 5, 10 and 20 mg L-1 atrazine solution during sonication in the ultrasonic cell at an acoustic power of 57 W over 3 h (Table E.5: Figure 8.7) F.33 Statistical analysis of the initial concentration of the 5 mg L-1 atrazine solutions used in the atrazine investigation F.34 : Statistical analysis of the effect of oxygen and nitrogen sparging on the degradation of atrazine in a 5 mg L-I atrazine solution during sonication in the ultrasonic cell at an acoustic power of 57 W over 3 h (Table E.6; Figure 8.8) F.35 Statistical analysis ofthe atrazine concentration in a 5 mg L-I atrazine solution during ozonation al ozone production rates of 0,003 ; 0,014; 0.030 and 0,047 mg S-I (Table E.7; Figure 8.9) F·24 F·25 F-25 F·26 F·27 F·27 Tables conL F.36 : Statistical analysis oftbe atrazine concentration in a 5 mg L'! atrazine solution during ozonation over 3 h at ozone production rates of 0,003; 0,014; 0,030 and 0,047 mg s·] and sonication at an acoustic power of 57 W (fable E .8; Figure 8. 11) F.37 Statistical analysis of the fraction ofundegraded atrazine in a 5 mg L'I atrazine solution after ozonation (0,0014 mg S' I) for 45 miD with hydrogen peroxide concentrations of 1, 5, 10, 25 and 50 mg L'! (fable E.9; Figure E.5) F-28 F-29 F.38 Statistical analysis of the atrazine concentration in a 5 mg L'] atrazine solution with F-29 40 mg L'! hydrogen peroxide, hydrogen peroxide combined with sonication (57 W), hydrogen peroxide oombined with ozonation (0,014 mg S'I) and hydrogen peroxide combined with sonkation and ozonation (fable E. IO; Figure 8.14) A atrazine A_ area of the wetted surface of the vessel B C CA CB C, C, C, C Do, fA fo "Gt Ml f H generic chemical compound concentration atrazine concentration concentration of chemical compound B concentration of a species; in water initial concentration liquid heat capacity liquid-phase ozone concentration ozone diffusivity in water fraction of radiation absorbed by atrazine ultrasonic resonance frequency standard Gibbs free energy of fonnation standard heat of formation Henry 's Law constant Ha dimcnsionlcss Hatta number fHO"1ss steady state hydroxyl radical concentration during ozonation [HOl hydroxide ion concentration hv ultraviolet radiation I CtlJ'T(:nt I. intensity of adsorbed radiation l A atrazinc degradation rate due to direct photolysis 10 effective intcnsit)' of radiation in water k reaction rate constant kHQ,B rate constant for the reaction between compound B and HO radicals kd rate constant for the direct reaction between ozone and a comp:lUnd liquid-phase mass transfer coefficient xxxiii NOMENCLATURE mgL'\ mgL'\ mgL'\ mgL'\ mgL'\ J kg,l K \ mgL'\ m2 s'\ Hz J mOrl J morl atm m l mor l ampere Einstein 5'\ mol L,I 5'\ Einstein L'\ 5' \ k\ rate constant for the initiation reaction between solute B and hydroxide ions NomencUdure cont ks rate constant for the scavenging reaction between solute B and hydroxyl radicals L Le,. LD,. m n (o,( p P PA Po pH pKa Po, q Q , R R. Ro R' effoctive path of radiation in a liquid lethal chemical concentration that kills 50 % of a group of animals lethal chemical dose that kills 50 % of a group of animals mass sample size ozone concentration pressure at distance r from bubble centre external liquid pressure at infinity liquid pressure u1trasonic wave amplitude negative log of the activity of hydrogen ions acid dissociation constant gas-phase ozone panial pressure bubble gas pressure at maximum radius power distance from bubble centre distance from bubble centre at which maximum liquid pressure occurs bubble radius maximum bubble radius bubble radius at time I = 0 coefficient of determination s standard deviation Si scavenger species in water such as inorganic or organic solutes SS." variability in data explained by a regression model SSra unexplained variability in data, usually attributed to error SSID/al tota] variability in data ID I . time diffusion time reaction time cm mgm-l mgkg-l kg m Pa Pa W mm mm mm mm mm s s s xniv NomenclatMre conL T temperature ·c maximum temperature in bubble ·c To ambient temperature of surrounding liquid ·c temperature of the inner vessel wall ·c u nuid velocity at distance r from bubble centre v volume of irradiated solution m' Xi a sample point X sample mean x., thickness of the inner wall Yi a measured dependent variable Vi the predicted value of y from a regression model y the mean of the dependent variable Z volume compression ratio (Rrz/R)3 Greek letters molar extinction coefficient of a species; in water e", molar absorptivity at a wavelength of 600 run r specific heat ratio of gas in bubble 7[ constant with an approximate value of 3, 14159 Cl> A quantum yield of atrazine mol quantum-I I 700 Category of water situation absolute scarcity of water chronic water scarcity: lack of water begins to hamper economic development and human health and welfare periodic or regular water stress will suffer only occasional or local water problems Chapter 1 INTRoDucnoN 1-2 The total volume of renewable surface water in South Africa is approximately 53 500 million m3 per annum (O'Keeffe et al. , 1992). South Africa, based on the population in 1995 and that projected at the present growth rate for 2025, was classified according to Table 1.1 for 1995 (1 200 m3 available water per person per year) as a country that experiences periodic or regular water shortages and for 2025 (730 m3 available water per person per year) as a country that will face chronic water shortages and where economic development will be hindered by the lack of water (Muller, 2(00). Rivers are the most important water source in South Africa, there are few natural lakes and only 45 % of the available groundwater can be utilised. economically (Rabie and Day, 1992). River flow is highly variable due to the seasonal changes in rainfall and the uneven distribution across the country. The bighest rainfall 0CCl.m along the eastern seaboard whereas the greater part of the interior and western portion of the country are arid or semi-arid The South African average annual rainfall, 497 mm per year, is below the world average of 860 mm (Rabie and Day, 1992). Approximately 65 % of the country receives less than 500 mm of rain per year and 21 % below 200 mm per year. The annual evaporation rate across the country varies between I 100 and 3 000 mm and is on average greater than the annual rainfall. It is estimated that only about 9 % of rainfall reaches the rivers (Muller, 2(00). The variability in flow and high evaporation rate results in only approximately 33 000 million m3 (62 %) of the annual runoff of 53 500 million m3 being practically exploitable (O'Keeffe et al. , 1992). Water demand estimates for 1996 indicated that water use, approximately 20 000 million m3, was almost 40 % of the total available water and 61 % of the economically exploitable water. In 2030 water use is estimated to be approximately 55 % and 80 %, respectively, of the total available and economically exploitable water (Muller, 2000). Projections of the expected total water demand per sector in South Africa (van der Merwe, 1995) are presented in Table 1.2. Table 1.2 : Estimates of South African water demand per sector in 1990, 2000 and 2010 (van der Merwe. 1995) SeSe and function of an ultrasonic cell (or ultrasonic laboratory reactor) within the context of the development of large-scale ultrasonic equipment for application in water treatment is demonstrated in the reactor design flow diagram shown in Figure 1. 1. discovery ,/' reocto< laboratory ~ reactor "--.. rate, selectivity equations; kinetics model ~ reactor V model pilot plant • "--.. large-sca1e reactor chemical kineticS; catalysis f.- G'PPli"'~ ~-.. -.. mathematics 1'-- ---G-=-:::> I----Essdesv Figure 1.1: Reactor design flow diagram (Smith, 1970) Chapter 1 (/'I'TRODUCTION \-11 The scientific disciplines involved between the discovery of a reaction (or demonstration of a process) and the large-scale reactor for industrial application are shown on the right in Figure 1.1 . A laboratory reactor is built to investigate process parameters (such as reaction conditions, catalyst lifetime) and reaction kinetics so as to obtain reaction rate and conversion/selectivity equations (Smith, 1970). This information is required for a mathematical model to be developed of the large·scale reactor. The model is evaluated with the operation of pilot plant in which questions concerning construction materials. corrosion, operating procedures, instrumentation and control are also investigated.. The reactor model can then be used in the design and construction of a large·scale reactor for industrial application (Smith. 1970). The investigation of the sonochemical degradation of hydantoin compounds in an ultrasonic bath indicated the potential of ultrasound to be used in water treatment specifically for the degradation of bioreftactory organic pollutants (Schwikkard, 1995). The next step from such a demonstration ofa process, as illustrated in Figure 1.1, is the design of an ultrasonic laboratory reactor (an ultrasonic cell) to investigate reaction kinetics. process operation and implications for sca1e·up, thus obtaining rate infonnation for the development of a model of a large--scale ultrasonic reactor. 1.6 THESIS OUTLINE A flow diagram of the thesis outline is presented in Figure 1.2. CHAPTERl I Introduction • • • CHAPTER 2 CHAPTER 3 CHAPTER 4 Ultrasound Ozone and Hydrogen Atrazine Chemistry (Literature) Peroxide Chemistry (Literature) ~ (Literature) • CHAPTERS EX~lJeIlt.al Ot:sign • • CHAPTER 6 CHAPTER 7 Ultrasound Process Ozone Process Investigation Investigation t t CHAPTERS Atrazine Experiments t CHAPTER 9 Concluding Remarks Figure 1.2: Flow diagram of thesis outline Chapter 1 b-"TRODUCTION 1-12 The water situation in South Africa specifically the increasing demand, the limited supply. the deteriorating water quality and legislation enacted to manage water usage is described in Chapler 1. Advanced oxidation processes are introduced and the development of this project from earlier research projects is also described. Ultrasound literature is reviewed in Chapter 2. The mechanisms of cavitation and the formation of free radicals during sonication are described.. Both chemical and physical effects of ultrasound are discussed and examples are listed of ultrasonic applications in the fields of chemistry. industry and medicine. Details are also provided. of commercially available sonochemical equipment. Ozone and hydrogen peroxide literature are reviewed in Chapter 3. This includes the generation of ozone, the kinetics of ozone decomposition and the application of ozone in water treatment. Examples are also given of the application of hydrogen peroxide in water treatment. Alrazine literature is reviewed in Chapter 4. The chapter summarises atrazine chemistry and the behaviour of atrazine in both soil and water systems in the environment. Potential technologies to degrade atrazine are also described. Equipment and analytical pnx::edures used in the investigation are presented in Chapter 5. This includes a description of the design of the ultrasonic cell and the equipment used for ozone generation. Standard procedures were used to measure ozone concentration whereas an HPLC method was developed to measure atrazine concentration. Methods to measure hydrogen peroxide and dissolved oxygen concentrations are also described. Characterisation of the ultrasonic cell is presented in Chapter 6. The process mechanisms occurring during sonication were investigated by measuring parameters such as dissolved oxygen concentration, fonnation and t;legradation of hydrogen peroxide under saturation with different gases. Implications for scale-up of an ultrasonic process are also considered. The investigation of the fundamentals of ozone chemistry and equipment characterisation, in tenus of ozone formation and degradation and hydrogen peroxide formation, is detailed in Chapter 7. Atrazine experiments are discussed in Chapter 8. This includes the degradation of atrazine during sonication and ozonation and the identification of degradation products. Concluding remarks and recommendations are presented in Chapter 10. Sources referenced during the investigation and Appendices detailing data and calculation procedures are also presented. 2 ULTRASOUND Ultrasound is defined as sound which is of a frequency above the limit (16 kHz) to which the human ear can respond (Mason. 1990). The effects of ultrasound in a medium are due to the chemical and physical effects caused by ultrasonic cavitation. The literature presented in this chapter describes the enhancement of chemical reactions by ultrasound and the potential for scale-up of industrial applications. The history of ultrasound is presented in Section 2.1. The formation and classification of ultrasonic cavitation, as well as the phenomena which arise from cavitation, are discussed in Section 2.2. The chemical and physical effects of cavitation, and the mechanisms by which ultrasound influences chemical reactions, are discussed in Section 2.3 . Applications of ultrasound in the medical. cbemical and industrial fields are presented in Section 2.4. Laboratory ultrasonic equipment and ultrasonic reactors for large-scale operation are described in Section 2.5. 2.1 HISTORY OF ULTRASOUND The production of ultrasound was made possible with the discovery of the magnetostrictive and piezoelectric effects. James Prescon Joule reported in 1847 that the application of a magnetic field to an iron bar caused the bar to increase in length (Mason, 1976). The magnetostrictive effect is defined as the production of a change in dimension of a magnetic material during magnetisation (Bremner, 1986). Sound waves are thus produced in the surrounding medium when an alternating field, by means of a solenoid, is applied across a ferromagnetic material. Pierre and Jacques Curie discovered the piezoelectric effect in 1880; a pressure applied across certain crystals (such as quartz) was found to produce an electric charge on the surface of the crystal (Mason, 1976). The converse of the effect is that a dimensional change is induced. in such a crystal when an electric charge is applied across the opposite faces of the crystal. Sound waves are thus produced. in the surrounding medium if an alternating voltage is applied across a piezoelectric crystal (Mason, 1976: Mason, 1990). Paul Langevin, in 1917, performed the earliest investigation of ultrasound (Mason, 1976). Ultrasound was investigated. as a method for submarine detection and the first underwater sound transducer (used mainly for depth determination) was produoed. The discovery by Langevin that sound waves killed small fish began research in the 1920 ' s into the biological effects of ultrasound (Alliger, 1975). At that time pioneering Chapter 2 ULTRASOUND 2-2 work on the chemical effects of u1trasound was performed by Richards and Loontis. Chemical transformations accelerated by ultrasound included the explosion of nitrogen tri-iodide, the dispersion of mercury, the degassing of liquids, the loy,ering of the boiling temperature of liquids, the hydrolysis of dimethyl suJfate and the iodine clock reaction (Rjchards and Loomis, 1921). The emission of light during sonication (sonoluminescence) was first reported by Frenzel and Schu1tes in 1934 (Harvey, 1939). An investigation of high speed propeUer erosion by Lord Rayleigh (for the British Navy) led to the publishing, in 1917, of a paper describing a mathematical model of the collapse of a pre-existing., spherical cavitation bubble under a steady pressure (Alliger, 1975; Suslick., 1989). These conditions are different to what occurs in an u1trasonic field. however, the concepts presented in the paper formed the basis for the development ofu1trasonic cavitation theory (Neppiras, 1984). In 1950, Noltingk and Neppiras published a systematic treatment of the growth and collapse of a gas-filled cavitation bubble in a liquid medium subjected to a sinusoidal u1trasonic pressure wave (Nollingk and Neppiras, 1950). 2.2 CAVITATION Cavitation is defined. as the formation. expansion and collapse of cavities in a liquid (Sirotyuk, 1963). The four types of cavitation are listed below (Shah et al ., 1999a; Young, 1989). • • • • Hydrodynamic cavitation is produced in a flowing liquid due to the pressure variations caused by the system geometry. Ultrasonic cavitation is produced in a liquid because of the pressure variations caused by sound waves moving through the liquid. Optic cavitation occurs when photons of high intensity light (lasers) are focused on a liquid. Particle cavitation occurs when elementary panicles (such as protons) are used to rupture a superheated liquid in a bubble chamber. The formation of u1trasonic cavitation is reviewed in Section 2.2. I: the classification of ultrasonic cavitation as either stable or transient in Section 2.2.2: the theoretical equations of cavitation bobble dynamics in Section 2.2 .3 and phenomena which arise from u1trasonic cavitation (sonoluminescence and cavitation noise) in Section 2.2.4. 2.2.1 Formation of ultrasonic cavitation Sound is transmitted through a liquid by inducing vibrationa1 motion (phases of compression and rarefaction) of the liquid molecules (Mason and Cordemans. 1996). Local pressure variations occur as liquid molecules are stretched apart during a rarefaction phase of a sound wave and pressed together during a compression phase. Cavities arc fonned in a liquid when the negative pressure created by the rarefaction phase exceeds the tensile strength of the liquid. the molecules of the liquid are stretched beyond the critical Chapter 2 ULTRASOUND 2-3 molecular distance required to hold the liquid intact (Pandit and Moholkar, 1996; Suslick, 1989). The breakdown in a liquid to form cavities should happen simultaneously throughout the liquid but generally it occurs only at weak spots or nucleation sites (Sirotyuk, 1963). Microdust particles or dissolved gas (gas·filled crevices in suspended particulate matter or microbubbles from prior cavitation events) act as nucleation sites in the liquid (Apfel, 1984; Roi, 1957). Cavity formation occurs at these weak spots or nucleation sites since the tensile strength of pure liquids is too large for cavitation to be fonned solely by the local negative pressure induced by a rarefaction phase of a sound wave (Apfel, 1972; Sirotyuk, 1966; Suslick, 1990). The cavitation threshold is defined as the sound wave amplitude, depending on frequency, that induces sufficient vibration of liquid molecules to cause cavity formation in the liquid (Crawford. 1963; Webster, 1963). The following parameters affect the cavitation threshold (Mason. 1990; Pandit and Moholkar, 1996; Pestman et al., 1994; Webster, 1963). • The presence of dissolved gas in a liquid lowers the cavitation threshold as more nucleation sites for cavity formation exist. • Physical properties of a liquid, such as surface tension. vapour pressure and viscosity, affect the cavitation threshold A reduction in surface tension (such as with the addition of a surfactant) decreases the cavitation threshold Liquids with a low vapour pressure do not readily cavitate. Liquids with higher viscosities have greater natural cohesive forces and hence a higher cavitation threshold. • An increase in temperature lowers the cavitation threshold as many liquid properties, such as density and viscosity, are temperature dependent. • The cavitation threshold is raised as the external applied pressure is increased. A higher external pressure requires a greater negative pressure in the rarefaction phase of a sound wave for cavity formation to occur. • The cavitation threshold is raised with an increase in frequency. The rarefaction and compression phases of a sound wave are shortened and insufficient time may be available for a cavity to either grow in a rarefaction phase or collapse in a compression phase. • Intensity is related to the amplitude of a sound wave, an increase in intensity increases cavitation. However, an optimum intensity exists heyond which a further increase will have no effect since the fonnation of larger, more stable cavities dampen the passage of sound energy through the liquid 2.2.2 Classification of cavitation Cavitation is classified as either stable or transient (Neppiras, 1984). The experimental distinction between stable and transient cavitation is not well defined (Henglein, 1987; Vaughan and Leeman, 1989). However. the lifespan of a stable cavity is longer than that of a transient cavity and stable cavities exist over many acoustic cycles whereas transient cavities exist for only one or two acoustic cycles. Stable cavitation is Cbapter 2 ULTRASOmm 2-4 produced by ultrasonic intensities in the range of 1 to 3 W cm-2 whereas transient cavitation is produced. by intensities greater than 10 W cm·2 (Mason, 1990). Stable cavities are bubbles that exist for many acoustic cycles and oscillate, often non linearly, about an equilibrium radius that is dependent on the applied ultrasonic field (Henglein, 1987; Riesz et al .. 1990a). The lifespan of stable cavities is still short since a cavity which exists for I 000 acoustic cycles in a 20 kHz ultrasonic field has a lifespan of 0,05 s (Mason, 1990). Stable cavities grow through a process called rectified diffusion in that the amount of gas diffusing in or out a cavity depends on the surface area of the cavity; more gas diffuses into a cavity when it is large, in a rarefaction phase, than diffuses out of a cavity when it is small, in a compression phase (Suslick. et al., 1990). The cavities grow to a size at which they become unstable and implode. The implosion is cushioned by the gas and liquid vapour contained in the cavity (lIenglein. 1987; Neppirns, 1984). Transient cavities exist for only one or two acoustic cycles and implode violently during a single compression phase once the cavities have expanded to a size two to three times the equilibrium radius (Riesz et al., I 990a), The lifespan of the cavities is too short for gas dissolved in the liquid to diffuse into the cavities. However, the cavities may contain some vapour from the liquid The collapse of the cavities is violent, as no gas is present in the cavities to cushion the implosion (Henglein, 1987). Upon implosion, the cavities often disintegrate into numerous smaller cavities providing nuclei for fwther cavitation (Henglein, 1987). Powerful shock waves are produced and considerable energy is released. into the liquid as the cavities implode (Boudjouk. 1986). From theoretical calculations, temperatures and pressures in a gas cavity during the final stages of collapse have been estimated to be in the range of 2 000 to 10 000 K and 100 to I 000 MPa (Suslick et al .• 1986). The high temperatures and pressures in the cavities cause the dissociation of water vapour into bydroxyl and. hyclrogen radicals (Bremner, 1986; Makino et al., 1982; Riesz et al .. 1990a; Tod.d, 1970; Webster, 1%3). Sonochemica1 effects are caused by both types of caviuation despite the earlier belief that only transient cavitation enhanced chemical reactions (Ratoarinoro et al ., 1992). Although the temperatures and pressures developed in stable cavities are lower then those in collapsing transient cavities (the implosion is cushioned by the gas content in the stable cavity), the lifespan of stable cavities is longer and there is thus a greater potential for influencing chemical reactivity (Mason, 1990). Vaughan and Leeman have proposed a different system for the classification of cavitation (Vaughan and Leeman, 1989). The system, unlike stable/transient classification, provides for a hierarchy of thresholds of observed cavitation phenomena, such as ca,';tation noise (or subharrnonic emission), sonoluminescence and sonocbemical reaction enhancement. The stable/transient mode of classification developed from the theoretical interpretation of the implosion of a gas-less cavity, however, ultrasonic cavitation occurs mostly in gas-saturated liquids; the classification system proposed. by Vaughan and Leeman is not dependent on a Cbapter 2 ULTRASOUND 2-5 specific bubble dynamic model (Leeman and Vaughan, 1992). Cavitation is defined as the non-linear pulsation of bubbles in a sound field and is classified as subsonic, gas-phase or liquid-phase cavitation. The classification is performed by comparing the maximum velocity of the bulX>le wall with the speed of sound in the gas in the bubble and with the speed. of sound in the liquid surrounding the bubble. The dynamic bebaviour of the bubble wall is regarded as one of the most important parameters that characterises the interaction of the bubble with the applied sound field (Vaugban and Leeman, 1989). Subsonic cavitation occurs when the maximum velocity of the bubble wall is lower than both the speed of sound in the gas in the bubble and the speed of sound in the surrounding liquid (Leeman and Vaughan, 1992). Subsonic cavitation is characterised by non-linear motion of the bubble wall and is the threshold for cavitation noise. Gu-pbue cavitation occurs when the applied acoustic power is increased such that the maximum velocity of the bJbble wall becomes greater than the speed of sound in the gas in the bubble (but still less than the speed of sound. in the liquid). The gas inside the bubble is shock-excited and significant heating occurs. Gas-phase cavitation marks the threshold for sonochemical reactions between activated species within the gas bubble as well as for sonoluminescenc:e since light emission is associated with the movement of shock waves through a gas. Liquid-pbue cavitation occurs when the applied acoustic power is funher increased such that the maximum velocity of the bubble wall is greater than both the speed of sound in the gas in the bubble and the speed. of sound in the SWTOUDding liquid.. Shock waves are generated in the liquid surrounding the bubble; high temperatures and. pressures accompanying the shock waves lead to sonochemical reactions taking place in the liquid.. However. the outward radiating nature of the shock waves cause such reactions to take pl.acc: in a relatively thin shell of liquid surrounding the bubble (Leeman and Vaughan, 1992). 2.2.3 Equations of cavitation bubble dynamics One of the earliest systematic t:reaUDents of u1trasonic cavities was performed by Noltingk and Neppiras (Noltingk and Neppiras, 1950). The uluasonic cavitation of a liquid saturated with gas was mroelled based on the analysis performed by Rayleigh of the implosion of a gas-less void.. A differential analyser was used to solve a non-linear differential equation of motion for the radial behaviour of a gas-filled bubble in an incompressible liquid, acted upon by a sinusoidal varying pressure field. For specific initial conditions. the solutions to the equation were plotted as bubble radius versus time graphs. The pressure distribution in the liquid surrounding a collapsing, gas-filled bubble was also investigated. The following assumptions were made in the model. the liquid was taken to be incompressible, the composition of the gas in the bubble was assumed to be constant during the lifespan of the bubble, the applied ultrasonic pressure was assumed to be exactly sinusoidal and the diameter of the bubble was assumed to be much less than a wavelength of sound (Noltingk and Neppiras. 1950). The hot spot theory for the generation of sonochemical effects developed from the analysis by Noltingk and Neppiras. Cbapter 2 ULTRASOUND The following theoretica1 derivation of the radial behaviour of a gas-filled bubble in an incompressible liquid, acted upon by a sinusoidal varying pressure field is summarised from the paper published by Noltingk and Neppiras (Noltingk: and Neppiras, 1950). The external liquid pressure P at a distance of infinity is equal to the sum. of the hydrostatic and acoustic pressures. The external liquid pressure at time I when an ultrasonic wave of amplitude Po and frequency ro/27t, where ro is the angular frequency, is applied over a liquid pressure, P A, is P = P A - Po sin(wt) [2.1] The bubble has an arbitrary radius Ro at time t = 0, and contains gas at the equilibrium pressure of (PA + 2aIR o), where a is the surface tension of the liquid The kinetic energy 2%PR{ ~r of the whole mass of liquid with density p is equal to the algebraic sum. of the work done by the surface tension, gas pressure and liquid pressure at infinity. The energy equation, if the gas changes are isothermal, is [2.2] The differential equation of motion is found by differentiating with respect to R, giving [ . ( k )R! 1 (dR )' cl'R 2R Posm(cot) - P A + PA + R o R 3 = 4a + 3pR t + 2pR2 dt2 [2. 3] Noltingk and Neppiras found that the ooundary value of the bubble wall radial velocity (dRldt) at Ro did not significantly affect the (c, R) curves produced from numerically solving equation 2.3 (Noltingk and Neppiras, 1950). The radial velocity at Ro was therefore assumed to be zero. 12.4] The solution of the differential equation for radial motion of a bubble (equation 2.3) over four cycles of pressure is shown in Figure 2. l. The equation was solved numerically for a specific set ofinitial conditions (P A, Po and Ro) at frequencies of 5 and 15 MHz. Chapter 2 ULTRASOUND ·~.--------,~,,-----.--.y.-------~u. Time (x 10 sec) " .. • !!l ~ • " ~ " ~ oil u • \ \ \ \ \ \ \ \ \ I I I I I I I , 01" -4 U Time (1: 10 1«) 2-7 Figure 2.] : Radius versus time curves for a gas-fiUed bubble in water in an ultrasonic field with a frequency of 5 MHz (dashed line) or 15 MHz (solid line); PA = 100 kPa, Po = 400 kPa and R o "" 0,8 f.Lm (Noltingk and Neppiras, 1950) The radius of a bubble in an ultrasonic field increases to a maximum Rm at which the bubble becomes unstable and begins to collapse. After the bubble radius has reached a maximum, as shown by the dashed line in Figure 2.1. it shrinks with increasing rapidity. The slope of the graph eventually becoming too steep to be traced with the differential analyser as used by Noltingk and Neppiras in solving equation 2.3 (Noltingk and Neppiras, 1950). Noltingk and Neppiras regarded bubble collapse as a prerequisite for cavitation and did not classify a bubble oscillating according to the solid line in Figure 2.1 as cavitating. The system of classifYing cavitation as either transient or stable, where stable cavitation was defined as the non-linear oscillation of a bubble, was developed later (Flynn, 1964, in Vaughan and Leeman, 1989). A review published by Neppiras in 1980 used the diagram shown in Figure 2.1 to show the difference in radial motion between stable and transient cavitation (Neppiras, 1980). Chapter 2 ULTRASOliND 2-8 Noltingk and Neppiras also investigated the pressure distribution in the liquid surrounding a collapsing bubble (Noltingk and Neppiras, 1950). The energy equation for the collapse of a gas-filled bubble, assuming adiabatic conditions, is 3P(dR)' = 1'(Z _ 1) _ q(Z - Z') 2 dl 1 Y 12.5] where r is the specific heat ratio of the gas in the bubble and q the gas pressure in the bubble at the maximum radius R = Rm. The symrol Z, the volume compression ratio, is defined as (Rn/R)). The externa] liquid pressure P is assumed to be constant because bubble collapse is very fast. Surface tension forces are ignored, as they would be insignificant during the collapse as compared with the two opposing pressure terms (Noltingk and Neppiras, 1950). The pressure distribution in the liquid surrounding a collapsing bubble is obtained by application of the general hydrodynamic equation of motion 12.61 where u is the fluid velocity at a distance r from the centre of a bubble and p is the pressure at r . The partial derivatives, ". and -f, are found as functions of rand R from the energy equation (equation 2.6) and the continuity equation, 12.71 Noltingk and Neppiras found this to give dp = -.iL[ qZ'(3y - 4) + ~ _ (Z _ 4 )P j + 4R' [1'(Z _ dr 3r2 1 - Y I - Y 3r~ q(Z-Z')j 1) - ] - y 12.8] which up:m integration gives _ P _ _ lL [ qZ'(3y - 4) p - 3r 1 - Y + -'1£ _ (Z - 4)P j- K [1'(Z _ 1) _ q(Z - Z') j l -y 3,... l y 12.9] The function in equation 2.9 was solved by Noltingk and Neppiras for various values of Z and is plotted in Figure 2.2. Chapter 2 ULTRASOU/lo'l) .. r ,.~ , .. __________ _ _ )':