REACTION KINETICS OF BIODIESEL PRODUCTION BY USING LOW QUALITY FEEDSTOCK A Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Applied Science In Environmental Systems Engineering University of Regina By Ling Zhou Regina, Saskatchewan October, 2013 Copyright 2013: L. Zhou UNIVERSITY OF REGINA FACULTY OF GRADUATE STUDIES AND RESEARCH SUPERVISORY AND EXAMINING COMMITTEE Ling Zhou, candidate for the degree of Master of Applied Science in Environmental Systems Engineering, has presented a thesis titled, Reaction Kinetics of Biodiesel Production by Using Low Quality Feedstock, in an oral examination held on August 30, 2013. The following committee members have found the thesis acceptable in form and content, and that the candidate demonstrated satisfactory knowledge of the subject material. External Examiner: Dr. Daoyong Yang, Petroleum Systems Engineering Co-Supervisor: Dr. Amornvadee Veawab, Environmental Systems Engineering Co-Supervisor: Dr. Adisorn Aroonwilas, Environmental Systems Engineering Committee Member: Dr. Stephanie Young, Environmental Systems Engineering Committee Member: *Dr. David deMontigny, Industrial Systems Engineering Chair of Defense: Dr. Doug Durst, Faculty of Social Work *Not present at defense Abstract Biodiesel is considered to be one of the potential renewable alternatives to petroleum since it is biodegradable, non-toxic, and has low emission profiles. The main challenge of its commercialization is the associated high production cost due to the high quality feedstock used. Low quality feedstocks such as waste cooking oils are much cheaper and more widely available. However, low quality feedstocks normally contain a large amount of free fatty acids (FFAs), which consume the alkaline catalyst in the biodiesel production, thereby decreasing the biodiesel production rate. An acid-catalyzed esterification process can effectively pretreat the FFAs prior to or during the biodiesel production. Previous studies on biodiesel production processes including esterification and transesterification were conducted in a well-mixed system, in which the hydrodynamic effect on the reaction could not be completely defined. Therefore, the objective of this research is to provide a better understanding of the reaction kinetics of acid-catalyzed esterification and alkali-catalyzed transesterification for optimizing the biodiesel production process when using low quality feedstocks. This study developed a new reaction system of esterification reaction in an immiscible two-phase system, which eliminates the hydrodynamic effect on the reaction. Based on the new reaction system, a series of experiments were conducted by using oleic acid/linoleic acid as FFA to mix with the virgin canola oil as a low quality feedstock. The reaction rate constant and activation energy of esterification were determined at different temperatures. The impact of different reaction variables was evaluated in terms of FFA conversion or acid value, including: temperature, catalyst concentration, initial FFA content, and type of FFA. Results showed that reaction temperature, catalyst I concentration, and initial FFA content had great impacts on the esterification. The effect of the catalyst concentration also depends on the reaction temperature. It had a significant impact on esterification at high temperatures of 50°C and 62°C, but little impact at the low temperature of 35°C. Additionally, an increase in initial FFA content increased the reaction rate instead of the reaction rate constant. The reaction performance of oleic acid and linoleic acid were also compared in terms of reaction rate constant and activation energy. Oleic acid and linoleic acid were found to have the same reaction behaviour under the same reaction conditions. The parametric effect on the alkali-catalyzed transesterification reaction was also evaluated in terms of FAME (fatty acid methyl esters, biodiesel) content (wt.%) of the reaction product as a function of reaction time. The experiments were carried out in a different experimental setup by using virgin canola oil as feedstock to react with methanol catalyzed by sodium hydroxide (NaOH). The tested reaction parameters include reaction temperature, catalyst concentration, and initial FFA content. The biodiesel production rate was found to increase as the reaction temperature increased regardless of the catalyst concentration. The achieved maximum biodiesel content ranged from 86 to 90% (w/w). An increase in catalyst concentration led to a higher biodiesel production rate, and as expected, high contents of FFA decreased the biodiesel production rate and made the subsequent separation process difficulty due to the undesirable soap formation. Based on the kinetics study on transesterification, the reaction kinetics were found to be different for low temperatures (25oC and 35oC) and high temperatures (50°C and 65°C), which resulted in different designs for reactor volume for a given duty based on different temperatures. II Acknowledgements First and foremost, I offer my sincerest gratitude to my co-supervisors Dr. Amornvadee Veawab and Dr. Adisorn Aroonwilas for their enormous support and guidance and patience throughout this thesis work. Without their valuable technical assistance on the experimental design and troubleshooting as well as instructive suggestions on result analysis, this thesis would not have been accomplished. I would also like to express my sincerely appreciation to the Natural Sciences and Engineering Research Council of Canada (NSERC) for the financial support, without which I could not have fully concentrated on my studies. My sincerely appreciation goes to the biodiesel research supporting organizations: City of Regina and Communities of Tomorrow for their valuable suggestions during my experimental work and the Faculty of Engineering and Applied Science and Faculty of Graduate Studies and Research (FGSR) of the University of Regina for supporting an excellent and safe laboratory and research environment. Most important of all, I would like to express my deepest gratitude to my husband (Zheng Cui) for his constant patience and love; my parents (Shuqing Gou and Shiqing Zhou) and parents-in-law (Chufeng Cui and Yufang Zuo) for their endless support and encouragement during my study; my adorable children (Jiahao Cui and Jiayue Cui) for being so smart and lovely. Without their love, I would not have had the necessary enthusiasm and energy to work on my research. III Table of Contents Abstract ............................................................................................................................... I Acknowledgements ......................................................................................................... III Table of Contents ............................................................................................................ IV List of Tables ..................................................................................................................VII List of Figures ............................................................................................................... VIII Nomenclature .................................................................................................................XII Chapter 1 Introduction and Scope of Research ..............................................................1 1.1 Introduction of Biodiesel ........................................................................................... 1 1.2 Biodiesel Production ................................................................................................. 4 1.3 Research Motivation and Objective .......................................................................... 9 Chapter 2 Literature Reivew ..........................................................................................13 2.1 Liquid/liquid Heterogeneous Reaction.................................................................... 13 2.2 Esterification Process .............................................................................................. 18 2.2.1 Chemistry of Esterification ............................................................................... 19 2.2.2 Kinetic Studies on Esterification of Biodiesel Production ............................... 20 2.3 Transesterification Process ...................................................................................... 23 2.3.1 Chemistry of Transesterification ...................................................................... 23 2.3.2 Parametric Effects on Alkali-catalyzed Transesterification Process ................ 27 2.4 Process of Biodiesel Production from Low Quality Feedstocks ............................. 29 IV Chapter 3 Acid-catalyzed Esterification Reaction ........................................................33 3.1 Acid-catalyzed Esterification Experiments ............................................................. 33 3.1.1 Materials ........................................................................................................... 33 3.1.2 Experimental Setups ......................................................................................... 33 3.1.3 Experimental Procedure and Conditions .......................................................... 37 3.1.4 Analytical Methods........................................................................................... 38 3.2 Results and Discussion ............................................................................................ 41 3.2.1 Design of a New Reaction System ................................................................... 41 3.2.2 Determination of Reaction Rate Constant and Activation Energy ................... 51 3.2.3 Parametric Effects on the Esterification Reaction ............................................ 60 Chapter 4 Alkali-catalyzed Transesterification Reaction ............................................75 4.1 Alkali-catalyzed Transesterification Experiments .................................................. 75 4.1.1 Materials ........................................................................................................... 75 4.1.2 Experimental Setups ......................................................................................... 75 4.1.3 Experimental Procedure and Conditions .......................................................... 79 4.1.4 Analytical Methods........................................................................................... 80 4.2 Results and Discussion ............................................................................................ 83 4.2.1 Effect of Reaction Temperature ....................................................................... 83 4.2.2 Effect of Catalyst Concentration ...................................................................... 88 4.2.3 Effect of FFA Content ...................................................................................... 93 V 4.2.4 Determination of Reaction Rate Constant ........................................................ 99 4.2.5 Demonstration of Reactor Design .................................................................. 102 Chapter 5 Conclusions and Recommendations ...........................................................117 5.1 Conclusions ........................................................................................................... 117 5.2 Recommendations for Future Work ...................................................................... 120 References .......................................................................................................................122 VI List of Tables Table 1.1: Average biodiesel emissions compared to conventional diesels ................... 3 Table 1.2: FFAs content in various biodiesel feedstocks ............................................... 5 Table 2.1: Literatures on kinetic study of the acid-catalyzed esterification reaction using homogenous catalysts ........................................................... 24 Table 3.1: Purities and suppliers of chemicals.............................................................. 34 Table 3.2: Experimental conditions for the acid-catalyzed esterification reaction ....... 40 Table 3.3: Reaction rate constants at 3 wt.% H2SO4..................................................... 56 Table 3.4: Reaction rate constants at 2 wt.% H2SO4..................................................... 57 Table 3.5: Reaction rate constants at 1 wt.% H2SO4..................................................... 58 Table 3.6: Activation energy in the esterification reaction of oleic acid ...................... 61 Table 3.7: Activation energy of the esterification reaction using linoleic acid ............ 72 Table 4.1: Purities and suppliers of chemicals.............................................................. 76 Table 4.2: Experiment conditions for the alkali-catalyzed transesterification reaction ......................................................................................................... 82 Table 4.3: Duration time and conversion rate for slow reaction region (200 rpm) .... 101 Table 4.4: Observed reaction rate constant for alkali-catalyzed transesterification (200 rpm) .................................................................................................. 104 Table 4.5: Experimental data for slow reaction region (200 rmp) .............................. 110 Table 4.6: Summary of reactor design at different temperatures (200 rpm) .............. 116 VII List of Figures Figure 1.1: Simplified scheme of two biodiesel production methods from low quality feedstocks ............................................................................................. 8 Figure 1.2: Acitavation energy obtained in different studies at different catalyst concentrations ................................................................................................ 11 Figure 2.1: Mass transfer process based on the two-film theory ...................................... 14 Figure 2.2: Mass transfer process of FFA from the oil phase to the methanol phase............................................................................................................... 16 Figure 3.1: Schematic diagram of experimental setup for acid-catlyzed esterification reaction ..................................................................................... 35 Figure 3.2: Photographs of the esterification experimental setup (Original in color) .............................................................................................................. 36 Figure 3.3: Experimental procedure for the acid-catalyzed esterification ........................ 39 Figure 3.4: Effect of position of the mechanical impeller on the FFA conversion (T=50°C, H2SO4 concentration=3 wt.%, FFA content=36 mgKOH/g) .................................................................................. 43 Figure 3.5: Change of the interface state with increasing agitation speeds ...................... 45 Figure 3.6: Effect of agitation speed on the FFA conversion rate (T=50°C, H2SO4 concentration=3wt.%,, FFA content=37 mg KOH/g) ........................ 47 Figure 3.7: Effect of agitation speed on the FFA conversion rate (T=62°C, H2SO4 concentration=3 wt.%, FFA content=37 mgKOH/g) ......................... 48 Figure 3.8: Effect of agitation speed on the FFA conversion rate (T=35°C, H2SO4 concentration=3 wt.%, FFA content=37 mgKOH/g) ..................................... 49 VIII Figure 3.9: Graph of ln CFFA0 as a function of time (H2SO4 concentration=3 CFFA wt.%) (a) T=35°C (b) T=50°C (c) T=62°C ................................................... 53 Figure 3.10: Graph of ln CFFA0 as a function of time (H2SO4 concentration=2 CFFA wt.%) (a)T=35°C (b) T=50°C (c) T = 62°C ................................................... 54 Figure 3.11: Graph of ln CFFA0 as a function of time (H2SO4 concentration=1 CFFA wt.%) (a) T=35°C (b) T=50°C (c) T=62°C .................................................... 55 Figure 3.12: Arrhenius plot of lnk'RX against 1/T (Esterification of oleic acid) ................ 59 Figure 3.13: Effect of temperature on the FFA conversion (H2SO4 concentration=3 wt.%) ................................................................................... 62 Figure 3.14: Effect of temperature on the reaction rate constant (H2SO4 concentration=3 wt.%) ................................................................................. 64 Figure 3.15: Effect of catalyst concentration on the FFA conversion (Initial FFA content=35-38 mgKOH/g) .................................................................. 65 Figure 3.16: Effect of catalyst concentration on reaction rate constant (Initial FFA content=35-38 mgKOH/g) .................................................................. 67 Figure 3.17: Change of FFA content as a function of reaction time................................. 68 Figure 3.18: Effect of the initial FFA content on the reaction rate constant .................... 70 Figure 3.19: Arrhenius plot of lnk΄RX against 1/T (Esterification of linoleic acid) ........... 71 Figure 3.20: Comparison of the reaction rate constants by using mixed FFA with different ratios of oleic acid versus linoleic acid (T=62°C, H2SO4 concentration=3 wt.%) ................................................................................. 74 IX Figure 4.1: Schematic diagram of the alkali-catalyzed transesterification experimental setup ......................................................................................... 77 Figure 4.2: Photographs of the alkali-catalyzed transesterification experimental setup (Original in color) ................................................................................. 78 Figure 4.3: Experimental procedure for the alkali-catalyzed transesterification .............. 81 Figure 4.4: Effect of temperature on the conversion profile at 0.2 wt.% NaOH (Methanol/Canola oil=9:1(molar ratio); mixing speed=200 rpm) ................. 84 Figure 4.5: Effect of temperature on the conversion profile at 0.6 wt.% NaOH (Methanol/Canola oil=9:1(molar ratio); mixing speed=200 rpm) ................. 85 Figure 4.6: Effect of temperature on the conversion profile at 1.0 wt.% NaOH (Methanol/Canola oil=9:1(molar ratio); mixing speed=200 rpm) ................. 86 Figure 4.7: Effect of catalyst concentration on the conversion profile at 25°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) ................ 89 Figure 4.8: Effect of catalyst concentration on the conversion profile at 35°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) ................ 90 Figure 4.9: Effect of catalyst concentration on the conversion profile at 50°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) ................ 91 Figure 4.10: Effect of catalyst concentration on the conversion profile at 65°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) ................ 92 Figure 4.11: Effect of free fatty acid content on the biodiesel conversion at 0.2 wt. % NaOH (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T=65°C) ............................................................................... 95 X Figure 4.12: Effect of free fatty acid content on the biodiesel conversion at 0.6 wt.% NaOH (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T=65°C) ............................................................................ 96 Figure 4.13: Effect of free fatty acid content on the biodiesel conversion at 1.0 wt.% NaOH (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T=65°C ) ........................................................................... 97 Figure 4.14: Photographs showing appearances of separation of reaction mixtures in the separating funnel (Sample collected at reaction time=1 hour; NaOH (wt.%) =0.6%; methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T=65°C ) ....................................... 98 1 Figure 4.15: Plots of ln( ) vs. reaction time, t, (a) NaOH concentration =0.2 1 x wt.% (b) NaOH concentration =0.6 wt.% (c) NaOH concentration =1 wt.% .................................................................................................... 103 Figure 4.16: Batch reaction process ................................................................................ 105 Figure 4.17: Plug flow reaction process ......................................................................... 106 Figure 4.18: Schematic of a batch reactor ...................................................................... 108 Figure 4.19: Schematic of a plug flow reactor ................................................................ 112 Figure 4.20: Schematic of a continuous stirred tank reactor .......................................... 114 XI Nomenclature A frequency factor ASTM D6751 the US Standard Specification for Biodiesel CAL concentration of alcohol solution in alcohol bulk C*FFA-i concentration of FFA at the interface in the oil film CFFA-O concentration of FFA in the oil bulk CH3OK potassium methoxide CH3ONa sodium methoxide CO carbon monoxide CO2 carbon dioxide CSTR continuous stirred-tank reactor Ea activation energy(kJ mol−1) FAME fatty acid methyl esters Fe2(SO4)3 ferric sulphate FFA free fatty acid H2O water H2SO4 sulphuric acid HCl hydrochloric acid HI hydriodic acid k reaction rate constant (min−1) k' pseudo-rate constant (min−1) kFFA-O mass transfer coefficient of FFA in the oil film (mol m−3 min−1) kFFA-AL mass transfer coefficient of FFA in the methanol film (mol m−3 XII min−1) KOH potassium hydroxide Na2SO4 sodium sulfate NaOH sodium hydroxide NOx nitrous oxide nPAH nitrated polycyclic aromatic hydrocarbons P*FFA-i concentration of FFA at the interface in the methanol film PFFA-AL concentration of FFA in the methanol bulk PAH polycyclic aromatic hydrocarbons PM particulate matter r reaction rate (mol m−3 min−1) rFFA mass transfer rate of FFA to the interface (mol m−3 min−1) FFFA flux rate of alcohol (mol min−1) R universal gas constant ( 8.314 J mol−1 K−1) R1 - COOH FFA R2 OH alcohol R1 COOR2 biodiesel S interfacial surface (m2) SnCl2 tin chloride SOx sulfur oxides t time (s) T temperature ( K) VRX reaction volume (m3) Greek letters XIII α the reaction order with respect to FFA β reaction order with respect to alcohol XIV Chapter 1 Introduction and Scope of Research 1.1 Introduction of Biodiesel Energy use is considered to be the most fundamental requirement for human existence (Refaat, Attia et al. 2008). Among different kinds of fuels, petroleum constitutes the majority of the world’s energy supply. It plays a significant role in industry, transportation, and agriculture, as well as to meet many other basic human needs (Shahid and Jamal 2008). According to Johnston and Holloway (2007), the global demand for petroleum is predicted to increase 40% by 2025. However, petroleum is a finite and nonrenewable energy source, which has already caused serious environmental pollution. Therefore, a sustainable, affordable, and environmentally friendly alternative to petroleum is urgently needed. Biodiesel is considered to be one of the most attractive alternatives to conventional petroleum-based diesel (Santacesaria, Tesser et al. 2007). It is composed of mono-alkyl esters of long chain fatty acids derived from a renewable lipid feedstock, which conforms to the US Standard Specification for Biodiesel (ASTM D6751). “Bio” indicates a source of energy that is biological and renewable; “diesel” means it can be used only in diesel engines (Zhang, Dube et al. 2003). Biodiesel can be used directly in a diesel engine in its neat pure form called B100 (100% biodiesel) or in a blend with different proportions of conventional diesel fuels. Common blends include B20 (20% biodiesel and 80% conventional diesel), which are much closer to diesel fuel properties than B100 and B5 (5% biodiesel and 95% conventional diesel). 1 Compared to conventional diesels, biodiesel has a number of advantages as follows: (1) It can be directly used in a diesel engine without any modification; (2) It is renewable, non-toxic, and biodegradable since the feedstock is originally from plants or animals such as soybean, canola, palm, corn, and animal fat; (3) Combustion of biodiesel does not increase current net atmospheric level of carbon dioxide (CO2), one of the greenhouse gases, because the carbon in biodiesel is originally removed from the air by plants; and, (4) Use of biodiesel can reduce air pollution because biodiesel emissions have lower levels of particulate matter (PM), carbon monoxide (CO), sulfur oxides (SOx), hydrocarbons, soot, and other byproducts, as shown in Table 1.1. and biodiesel has several disadvantages as well: (1) The high cost of biodiesel, which is about one and a half times that of conventional petroleum-based diesel, is the main challenge to its commercialization (Zhang, Dube et al. 2003). The cost of biodiesel depends on a number of factors such as the cost of feedstocks and reactants, the nature of its purification, its storage, and so on. Of all of these, the cost of feedstock accounts for 70-95% of the total biodiesel production cost (Krawczyk 1996; JConnemann 1998). Therefore, using more economic feedstocks such as waste cooking oils and fats can significantly decrease the biodiesel cost; (2) Biodiesel may become a gel in cold weather since its cloud point is generally higher than conventional diesels. Addition of cold flow additives can prevent it from gelling at a low temperature; 2 Table 1.1: Average biodiesel emissions compared to conventional diesels Emission type B20 B100 Total unburned hydrocarbons -20% -67% Carbon monoxide (CO) -12% -48% Carbon dioxide (CO2)—life cycle production -16% -79% Particulate matter (PM) -12% -47% Nitrogen oxides (NOx) +2% +10% Sulfur oxides (SOx) -20% -100% Polycyclic aromatic hydrocarbons (PAH) -13% -80% Nitrated PAH (nPAH) -50% -90% Source: (Sheehan, Camobreco et al. 1998) 3 (3) Biodiesel solvent can cause degradation of rubbers and elastomers. Using low-percentage biodiesel blends can mitigate the degradation, but the compromise will somewhat lessen the positive environmental benefits; and, (4) Biodiesel emissions contain more smog-forming nitrous oxide (NOx) than conventional diesels, which may delay the injection timing of engines. 1.2 Biodiesel Production There are four well-established biodiesel production methods: direct use and blending, micro-emulsions, thermal cracking (pyrolysis), and transesterification (Ma and Hanna 1999). Among these methods, transesterification is one of the most commonly used methods in the biodiesel production industry, which uses vegetable oils or animal fats as feedstock to react with a short chain alcohol (methanol, ethanol, butanol, or amyl alcohol) to yield biodiesel as the main product and glycerol as a by-product. The transesterification reaction is shown in Equation 1.1 CH2-OOC-R1 Catalyst CH1-OOC-R2 + 3R'OH R2-COO-R' R3-COO-R' CH2-OOC-R3 Glyeride Esters Alcohol CH2-OH R1-COO-R' + CH1-OH CH2-OH [1.1] Glycerol where R1, R2, R3, R' = alkyl groups. Feedstock quality is a significant factor affecting biodiesel production. A wide variety of materials including fats, oils, or other grease sources can be used for biodiesel production. According to the content of FFAs in the feedstock, feedstocks can be categorized as high quality feedstocks and low quality feedstocks. As shown in Table 1.2, 4 Table 1.2: FFAs content in various biodiesel feedstocks Feedstock FFAs Refined vegetable oils < 0.05 % 0.3 – 0.7% Crude vegetable oil Restaurant waste grease 2 – 7% Animal fat 5 – 30% Trap grease 40 – 100% Source: (Van Gerpen, Shanks et al. 2004) 5 low quality feedstocks usually have higher content of FFAs than high quality feedstocks. For example the content of FFAs in high quality feedstocks such as refined vegetable oils and crude vegetable oils is less than 1%. However in the low quality feedstocks such as restaurant waste grease and animal fats, the content of FFAs is higher than 2% and can even reach 100% in the trap grease. Industrial biodiesel production from a high quality feedstock normally includes a transesterification process and a purification process. The homogenous alkaline catalyst is commercially used to catalyze the transesterification process (Abbaszaadeh, Ghobadian et al. 2012). Homogeneous alkaline catalyst, such as alkaline metal alkoxides and hydroxides as well as sodium or potassium carbonates, are used. It has high catalytic activity and is widely available and economical, while it also requires modest operational conditions and achieves high conversion in a minimal time. After the transesterification process, the production residues and impurities left in the crude biodiesel must be removed by a separation process since they may damage the engine combustion systems. The production impurities through the transesterification process include glycerol, unreacted alcohol, catalyst, and other side reaction byproducts such as water, soap, etc. Since the cost of a high quality feedstock typically accounts for 70-95% of total biodiesel production cost. Low quality feedstocks are much cheaper than high quality feedstocks. Thus, using low quality feedstocks such as waste cooking oils or non-edible oils instead of high quality feedstocks will significantly reduce the biodiesel production cost. However, low quality feedstocks have high content of FFAs, which can react with the alkaline catalyst and produce soaps. This side reaction in the alkali-catalyzed transesterification process will reduce the catalyst efficiency and the biodiesel conversion 6 rate. Additionally, the formation of soaps will make the later purification process difficult. As a result, the undesired side reactions caused by FFAs will increase the cost of biodiesel production. Therefore, when using low quality feedstocks for biodiesel production, the content of FFAs must be reduced to an acceptable level (typically below 1% according to Freedman, Pryde et al. (1984); Liu (1994); and Ma, Clements et al. (1998)) before the alkali-catalyzed transesterification process. One efficient method for removing the FFAs from feedstocks is esterification. As shown in Equation 1.2, in the esterification reaction the FFAs react with a low molecular weight alcohol, such as methanol, ethanol, isopropanol or butyl, to produce biodiesel. R1 - COOH R 2 OH R1 COOR2 H2O FFAs alcohol biodiesel [1.2] where R1= a linear chain of 11–17 carbon atoms containing a variable number of unsaturations depending on the particular origin of the raw material; R2 = a methyl radical. However, the esterification reaction is extremely slow, taking several days to reach equilibrium at typical reaction conditions (Liu, Lotero et al. 2006). A variety of catalysts can effectively increase the reaction rate, including: homogenous mineral acids (sulfuric acid (H2SO4), hydrochloric acid (HCl) or hydriodic acid (HI)), and heterogeneous solid acids (various sulfonic resins). As shown in Figure 1.1, there are normally two methods for producing biodiesel from low quality feedstocks. Method Ι has two consecutive reaction steps. The first one is a pretreatment step, in which an acid-catalyzed esterification reaction occurs to reduce the FFAs content to an acceptable level. Then the product of the esterification reaction is 7 Acid Catalyst Method І: Alkaline Catalyst Esterification Transesterification Purification Acid Catalyst Method П: Esterification + Transesterification Purification Figure 1.1: Simplified scheme of two biodiesel production methods from low quality feedstocks. Source: (Van Gerpen, Shanks et al. 2004) 8 sent to the second reaction system. In the second step, an alkali-catalyzed transesterification occurs to convert the oils/fats to crude biodiesel. Method Ι can produce biodiesel from a low quality feedstock quickly and effectively. However, the production cost is increased due to an additional pretreatment step. Method Π has one acid-catalyzed reaction step, in which the esterification reaction and transesterification reaction take place in one unit at the same time. Since the acid-catalyst is insensitive to the FFAs, an acid catalyst is added to the system for accelerating both esterification and transesterification reactions. Method Π is more efficient and economic than method I since it has only one reaction step (Zhang, Dube et al. 2003). However the reaction rate of Method Π is very low compared to that in Method Ι, normally taking several days to complete. 1.3 Research Motivation and Objective The esterification and transesterification reactions are essentially heterogeneous because the nonpolar oil phase and the polar alcohol phase are immiscible with each other. Therefore, their overall reaction rates mainly depend on two important factors: the hydrodynamic effect between these two phases and the chemical reaction kinetics. In order to optimize the biodiesel production process and design a high performance reaction system, the hydrodynamic effect and chemical reaction kinetics must be completely understood. Previous kinetic studies on the esterification reaction were mostly carried out in a pseudo-homogenous reaction system. Sufficient mixing was provided in these systems in order to eliminate the hydrodynamic effect on the overall reaction rate. The previous 9 results on activation energy are plotted as a function of catalyst concentration in Figure 1.2. The result shows a large deviation and an inconclusive trend as the catalyst concentration increases. According to Boocock, Konar et al. (1996), the hydrodynamic effect was significant when a heterogeneous reaction system was vigorously agitated. Von Blottnitz, Sadat-Rezai et al. (2004) found that even in a homogeneous reaction system, the hydrodynamic effect still existed when a co-solvent was used. Therefore, the inconsistent results from previous studies indicate that the hydrodynamic effect may exist in their systems and affect the overall reaction rate. In an agitated system, improved mixing can help enhance the mass transfer coefficient and also increase the interfacial surface area available for the reaction. According the results of Fernandes and Sharma (1967), the mass transfer coefficient and interfacial area increase with the increasing mixing speed until an equilibrium stage is reached when there is no significant increase in both. When an equilibrium stage is reached, even if the agitation speed increases, the mass transfer rate keeps constant. Therefore, in the previous studies, the change of the mass transfer rate does not affect the reaction rate at an equilibrium stage. However, the hydrodynamic effect may still exist in the reaction system. Furthermore, except for the speed of the agitator, there are other variables affecting the hydrodynamic effect including the ratio of the agitator diameter to the vessel diameter, position of the agitator in the reactor, the liquid level, dispersed phase hold-up, etc. Thus, the hydrodynamic effect on the reaction still varies at the equilibrium stage in this way. 10 70 Sendzikiene, Makareviciene et al. (2004) 60 Activation Energy kJ/mol Berrios, Siles et al. (2007) 50 Aranda, Santos et al. (2008) 40 Supardan (2008) 30 Thiruvengadaravi, Nandagopal et al. (2009) 20 Praveen K.S Yadav.et al (2010) 10 0 0 2 4 6 8 10 12 H2 SO4 wt.% Figure 1.2: Acitavation energy obtained in different studies at different catalyst concentrations 11 The objectives of this study are: i) to develop a new reaction system of the esterification reaction that takes into account the effects of both hydrodynamic and chemical kinetics,ii) to evaluate the parametric effect on the FFA conversion rate of the esterification reaction and obtain the reaction rate constant and activation energy, and iii) to evaluate the reaction kinetics of alkali-catalyzed transesterification reaction, and discuss the parametric effects on the reaction conversion rate. Virgin canola oil was used as a high quality feedstock. Mixtures of virgin canola oil and pure oleic acid or pure linoleic acid were used as substrates for low quality feedstocks in this study. This thesis consists of five chapters. Chapter 1 introduces the general background of biodiesel production technologies and the research motivation and objectives. Chapter 2 provides a comprehensive literature review on biodiesel production. Chapter 3 describes the details of experiments for esterification reaction, including materials, setups, conditions, procedures, and sample analysis, and also provides the experimental results and discussion. Chapter 4 describes the details of the experiments for transesterification, and also discusses the parameters effects on the reaction rate and different reactor designs for a given duty under certain conditions. Finally, Chapter 5 summarizes the research results and provides recommendations for future work. 12 Chapter 2 Literature Review 2.1 Liquid/liquid Heterogeneous Reaction Since the polar alcohol and nonpolar oil are two immiscible phases, one must diffuse into the other before the heterogeneous reaction between them can happen. Thus, both a mass transfer process of the reactant(s) from one phase to the other phase and a chemical reaction take place in the heterogeneous reaction. The overall reaction rate expression should consist of the mass transfer rate and the chemical reaction rate. Mass transfer is a process in which one component diffuses from one phase to another phase or the same phase because of a concentration difference (Strigle 1987). It occurs in various industrial operations such as distillation, absorption, evaporation, adsorption, and liquid/liquid extraction. The theories that can be used to describe the mass transfer process include the two-film theory, surface renewal theory, and boundary layer theory (Geankoplis 1993). The two-film theory was adopted in most studies because it is the simplest theory and leads to a very similar result to the others. For convenience in notation, the two-film theory is discussed by using a gas/liquid reaction as an example. A liquid/liquid heterogeneous reaction has a similar mass transfer process as a gas/liquid reaction. According to the two-film theory, as illustrated in Figure 2.1, the gas/liquid phases are separated by an interface. There is one film in either phase that adheres to the interface. For a fast gas/liquid reaction, mass transfer occurs through the following three consecutive steps: (1) The component A in the gas bulk diffuses through the gas film. There is a gas phase mass transfer resistance in the gas film. 13 Direction of mass transfer Interface Concentration of solute A Reaction zone yA,G CA,i Gas film Liquid film yA,i CA,L Distance from interface Figure 2.1: Mass transfer process based on the two-film theory (Redrawn from Astaria, Savage et al. (1983)) 14 (2) The component A diffuses through the gas/liquid interface. It is assumed that no mass transfer resistance exists at the interface. (3) The component A diffuses through the liquid film. If the chemical reaction is fast, it takes place in the liquid film. There is a liquid phase mass transfer resistance in the liquid film. The esterification reaction of biodiesel production is a heterogeneous reaction between the alcohol and FFAs, which is presented as follows: Catalyst Alcohol + FFA Ester + H2O [2.1] Since the majority of the alcohol is expected to be in the polar alcohol phase (Ataya, Dubé et al. 2007) and the catalyst is located only in the methanol phase, the esterification reaction mostly completes in the methanol phase. Thus, FFA must enter the methanol phase first in order to react with methanol. Figure 2.2 illustrates the complete mass transfer process of FFA from the oil phase to the methanol phase. Firstly, FFA diffuses through the oil film from the oil bulk phase, then through the oil/methanol interface, and finally through the methanol film to the methanol bulk. The mass transfer rates of FFA are given by the rate expressions of Equations 2.2 and 2.3: In the oil film: * rFFA kFFAOa(CFFAO CFFA i ) [2.2] where rFFA= the mass transfer rate of FFA to the interface; kFFAO = the mass transfer coefficient of FFA in the oil film; CFFAO = the concentration of FFA in the oil bulk; * CFFA i = the concentration of FFA at the interface in the oil film; a = the interfacial area in per unit volume. 15 Concentration of FFA Interface Oil Film Methanol Film CFFA-O C*FFA-i Oil bulk P*FFA-i Methanol bulk PFFA-AL Direction of massbtransfer Figure 2.2: Mass transfer process of FFA from the oil phase to the methanol phase b 16 In the methanol film: * rFFA kFFA ALa(PFFA i PFFA AL ) where [2.3] * kFFA AL = the mass transfer coefficient of FFA in the methanol film; PFFA i = the concentration of FFA at the interface in the methanol film; PFFA AL = the concentration of FFA in the methanol bulk phase. According to Ataya, Dubé et al. (2007), the esterification is almost an instaneouse reaction, so it can be assumed that the reaction takes place only at the interface. Then, the overall mass transfer resistance of FFA only exists in the oil film. From Equation 2.2, the flow rate of FFA is obtained as follows: * FFFA rFFAVRX kFFAOa(CFFAO CFFA i )VRX [2.4] and the equation for the overall reaction rate at the interface is: rRX kRXC* FFAi C ALi [2.5] where VRX = the reaction volume; kRX = the reaction rate constant; α= the reaction order with respect to FFA; β = the reaction order with respect to alcohol. CALi = the concentration of methanol at the interface. Since the methanol used in this study is pure and in a large quantity, the concentration of methanol remains constant in the methanol phase during the esterification reaction. C ALi becomes a constant and can combine with kRX. Therefore, the overall reaction rate can be expressed with respect to the concentration of FFA: * rRX k 'RX CFFA i where k'RX = the pseudo-rate constant. 17 [2.6] The flow rate of FFA at the interface is: * FFFA rFFAVRX k 'RX CFFA i VRX [2.7] According to the previous studies from Sendzikiene, Makareviciene et al. (2004); Kocsisová, Cvengroš et al. (2005); Cardoso, Neves et al. (2008); Aranda, Santos et al. (2008); Thiruvengadaravi, Nandagopal et al. (2009), the esterification reaction follows a first-order kinetic law with respect to the concentration of FFA. By combining Equation 2.4 and 2.7, the following equation is obtained: * * CFFAO (CFFAO CFFA i ) Eq2.4 (CFFAi ) Eq2.7 = FFFA FFFA F 1 1 FFA ( ) k FFAO aVRX k ' RX VRX VRX k FFAO a k ' RX [2.8] The overall reaction rate of the esterification reaction is obtained by rearranging Equation 2.8: FFFA 1 r 1 1 VRX k FFAO a k 'RX C FFAO [2.9] 2.2 Esterification Process Biodiesel is normally made from high quality feedstocks, such as edible oils. However, there is a large amount of low quality feedstocks that can be converted to biodiesel. The challenge of using low quality feedstocks for biodiesel production is that the low quality feedstock contains a large amount of FFAs, which can have a side reaction with the alkali-catalyst used in the transesterification process to produce undesirable soaps, inhibiting the separation of biodiesel from glycerol. Soap formation 18 can also produce water that will hydrolyze the triglycerides and aggravate the soap formation. This undesirable side reaction will add a fixed cost due to the use of an additional unit for removing soaps and also lead to a reduction of the yield. When using a low quality feedstock for biodiesel production, a pretreatment step, i.e., esterification, is required. In the esterification process, the FFAs are converted into biodiesel without forming soaps, which increases the final yield. It can take place without any catalyst due to the weak acidity of carboxylic acids, but the reaction is extremely slow and requires several days to complete at typical reaction conditions. Previous research results showed that either homogenous mineral acids, such as H2SO4, HCl, or HI, or heterogeneous solid acids, such as various sulfonic resins, can effectively catalyze the esterification reaction. The homogenous catalyst is more effective than the heterogeneous catalyst in the esterification reaction, and the reaction kinetics using heterogeneous catalysts are more complicated than those using homogenous catalysts since the restriction of both absorption and dis-absorption rates in the pore of the catalyst needs to be considered in the overall reaction rate. 2.2.1 Chemistry of Esterification The mechanism of esterification reaction involves a process related to nucleophilic substitution. It can be illustrated in the following scheme: Step 1: the carboxylic acid is protonated initially by the strong inorganic acid catalyst (typically H2SO4): [2.10] 19 Step 2: the alcohol nucleophile (two lone pairs on the oxygen) adds the sp2 carbon and the alcohol proton is lost: [2.11] Step 3: the new ester bond between the carboxyl group carbon and the alcohol oxygen is formed: [2.12] Step 4: H2O is eliminated at one site or the other: [2.13] Step 5: the excess proton leaves, regenerating the inorganic acid catalyst: [2.14] 2.2.2 Kinetic Studies on Esterification of Biodiesel Production There are very few studies reported on the kinetic study of the esterification reaction of biodiesel production. Most of them were limited to their particular reaction conditions. 20 Berrios, Siles et al. (2007) carried out a kinetic study on the esterification of sunflower oils with an anhydrous methanol. Their kinetic model was developed based on several assumptions: i): the reaction under the operating conditions was controlled by a chemical reaction; ii): the non-catalyzed reaction was negligible; iii) the esterification reaction occurs in the oil phase; iv): the methanol concentration was constant throughout the reaction; and v): the reaction system was pseudo-homogeneous, first-order in the forward direction, and second-order in the reverse direction. The reaction rate is determined by the forward reaction rate and reverse reaction rate as shown in Equation 2.15: [2.15] where [A]= the concentration of FFA in mgKOH/g oil; [C]= the concentration of FAME, which is assumed to be zero (t=0); [D]= the concentration of water, which is assumed to be zero (t=0); K1= the reaction constant of the forward reaction; K2= the reaction constant of the reverse reaction. [A0]= the initial concentration of FFA; [E]= the removed acidity. Since the concentration of FFA in the system is determined by its initial concentration, and the removed acidity, Equation 2.15 is rearranged as shown in the following: [2.16] By integrating Equation 2.16, the kinetic model is obtained as follows: [2.17] where 21 [2.18] [2.19] [2.20] The activation energy was calculated by using the Arrhenius equation. The same kinetic model was adopted by Supardan (2008) and Thiruvengadaravi, Nandagopal et al. (2009). Sendzikiene, Makareviciene et al. (2004) used a mixture of rapeseed oil and oleic acid as a low qualitity feedstock. It reacted with anhydrous methanol, and sulfuric acid was added to the system to catalyze the reaction. The mixing speed was selected at a constant of 850 rpm. During the reaction, it was found that diffusion restrictions are characteristic for the entire ranges of FFA concentrations and reaction times, since the reaction rate constant changed during the reaction time. Aranda, Santos et al. (2008) studied the esterification of palm fatty acids with an anhydrous methanol and ethanol by using homogeneous catalysts. The reaction happened in a 600 mL stainless steel batch reactor. The agitation speed was kept constant (500 rpm). The reaction rate constants and reaction orders were estimated using the following model: [2.21] where FA= fatty acid; ALC= alcohol. 22 Yadav, Singh et al. (2010) studied the reaction kinetics of the esterification of the palm fatty acid. Though the hydrodynamic effect on the overall reaction rate was not considered in their model. Kinetic study of esterification of oleic acid in soybean oil using ethanol was evaluated by Cardoso, Neves et al. (2008). The kintic model was expressed as Equation 2.22. The resulting data fits a first order kinetic behaviour. However, the hydrodynamic effect on the overall reaction rate was still not considered in the model. [2.22] The important kinetics findings and results from previous studies are summarized in Table 2.1. 2.3 Transesterification Process Transesterification, also called alcoholysis, is a traditional technology to produce biodiesel. It is the most effective process to transform the big triglyceride molecules into small and straight-chain molecules of fatty acid esters. It can reduce the molecular weight to one-third that of the oil and the viscosity by a factor of eight, and it can increase the volatility. 2.3.1 Chemistry of Transesterification In the biodiesel transesterification process, triglycerides react with an alcohol in the presence of some catalyst to produce esters (biodiesel) and another alcohol (glycerol). As shown in Equation 2.23, Equation 2.24, and Equation 2.25, the transesterification reaction is reversible and includes three consecutive steps: conversion of triglycerides to 23 Table 2.1: Literatures on kinetic study of the acid-catalyzed esterification reaction using homogenous catalysts References Yadav, Singh et al. (2010) Thiruvengadaravi, Nandagopal et al. (2009) Cardoso, Neves et al. (2008) Research Objectives Optimized the pretreatment process. Undertook kinetic and thermodynamic studies of esterification Evaluated the use of SnCl2·2H2O as catalyst for the ethanolysis of oleic acid (pure and added to soybean oil) Investigated key parameters of reaction Aranda, Santos et al. (2008) Yalçinyuva, Deligöz et al. (2008) Supardan (2008) Optimized the conditions for production of palm fatty acid methyl esters Studied the esterification of palm fatty acids, by-products of edible palm Oil production, to produce biodiesel, using homogeneous acid catalysts. Studied the esterification kinetics of myristic acid with isopropyl alcohol with both homogeneously and heterogeneously catalyzed systems Studied the effect of operational variables on the esterification of FFA in low grade CPO; Studied the influence of operational variables on the kinetics. Test Conditions Important Findings Reactants: Palm fatty acid(FFA=93 wt.%) Alcohol: methanol Catalyst: H2SO4 500 mL three neck flask, stirrer FFA: FFA in Pongamia Alcohol: methanol Catalyst: H2SO4 Bath reactor, mechanical stirrer, speed (N/A) FFA: oleic acid in soybean oil Alcohol: ethanol Catalyst: H2SO4, tin chloride (SnCl2) 50 mL three-necked glass flask, magnetic stirrer speed N/A FFA: palmitic and oleic acids in palm oil Alcohol: methanol, ethanol Catalyst: H2SO4 (98%); phosphoric acid (85%); trichloroacetic acid (98%) and methanesulfonic acid (95%). Stainless steel 600 mL batch reactor (PARR 842), stirring peed=500 rpm FFA: myristic acid Alcohol: isopropyl alcohol Catalyst: ρ-toluene sulfonic acid, amberlyst15 and Degussa (acidic cation exchange resin) 250 mL round bottomed reactor, magnetic stirrer, mixing speed=450 rpm FFA: low grade CPO with FFA content of 5.6% and 33.3%. Alcohol: methanol Catalyst: H2SO4 Mechanical agitation =464 rpm 24 Pseudo first-order kinetics for esterification. Et=15.31 kJ mol-1 Pseudo first-order kinetics for esterification. Rate constants and activation energy were determined. Optimum conditions: methanol to oil ratio=9:1, H2SO4=1 wt.%, temperature=60oC Ea=280.1J/mol at H2SO4=1 wt.%, SnCl2 is a potential catalyst for the low quality raw materials. A first order dependence for both esterification reaction catalyzed by H2SO4 and SnCl2. First order with respect to fatty acid and zero order with respect to alcohol. Ea=15.046 Kcal/mol at H2SO4=0.01 wt.%, Ea=10.054 Kcal/mol at H2SO4=0.0 3 wt.%, Ea=6.528 Kcal/mol at H2SO4=0.05 wt.%. Second-order kinetics for the homogeneous catalyst. No pore diffusion when using heterogeneously catalyst limitation. The esterification reaction of FFA in low grade CPO is irreversible. A first-order kinetic law for the reaction. Ea=30.4 kJ/mol, A=305 Table 2.1: Literatures on kinetic study of the acid-catalyzed esterification reaction using homogenous catalysts (cont’d) Berrios, Siles et al. (2007) Examined the influence of operational variables on the kinetics Kocsisová, Cvengroš et al. (2005) Sendzikiene, Makareviciene et al. (2004) Studied the reaction of ester preparation in short reaction time with small excess of alcohol, low catalyst, but higher conversion to esters FFA: Fatty acids in sunflower oil Alcohol: methanol Catalyst: H2SO4 Bath reactor, magnetic agitation speed 600 rpm FFA: Commercial mixture of fatty acids, mixture of ME and FFA with different acid values Alcohol: methanol Catalyst: ρ -Toluene-sulfonic acid Ambient pressure, temperature above the boiling point of MeOH, continual flow of liquid MeOH into the reaction mixture. mechenical stirrer(speed N/A) Determined the optimal conditions of free fatty acid esterification by methanol using acid catalyst; Calculated the kinetic parameters of this process. FFA: Oliec acid Alcohol: Anhydrous methanol Catalyst: Concentrated H2SO4 500 mL 3-neck distillation flask mechanical stirrer(speed 800 min-1) 25 A first-order kinetic law for the forward reaction and a second-order for the reverse reaction. Ea=50.745 kJ/mol at H2SO4=5 wt.%, Ea=44.559kJ/mol at H2SO4=10 wt.% A first-order kinetic law for the reactions. The reaction rate is two to three times higher than at the temperatures close to the boiling point of MeOH First order of the reactions after excluding agent diffusion on the reaction rate. Et ≈ 13.3 kJ/mol under the experimental conditions Diffusion restrictions are characteristic for the entire range of concentrations and reaction times studied diglycerides; conversion of diglycerides to monoglycerides; and conversion of monoglycerides to glycerol: Triglyceride (TG) +R′OH Diglyceride (DG) + R′COOR1 [2. 23] Diglyceride (DG) +R′OH Monoglyceride (MG) + R′COOR2 [2. 24] Monoglyceride (MG) +R′OH Glycerol (GL) + 3R′COOR3 [2. 25] where R1, R2, R3, R' = alkyl groups. The overall reaction of transesterification is expressed as follows: Triglyceride (TG) +3 R′OH Glycerol (GL) + 3R′COOR3 [2.26] The alcohols used in the transesterification process can be methanol, ethanol, propanol, butanol, or amyl alcohol. Methanol and ethanol are used most frequently. However, methanol is usually preferred since it is relatively inexpensive and has small molecular mass. In addition, a lower amount of methanol is needed than ethanol and it can react with triglycerides quickly. Since alcohol and triglycerides are immiscible, a catalyst is needed to accelerate the transesterification reaction rate and the specific yield. Several different types of alkali and acid catalysts are normally used, such as NaOH, potassium hydroxide (KOH), H2SO4, ion exchange resins, lipases, and supercritical fluids. The most commonly used catalysts are strong alkaline catalysts. Acid catalysts are normally used for the esterification of FFA when using a low quality feedstock. 26 2.3.2 Parametric Effects on Alkali-catalyzed Transesterification Process 2.3.2.1 Effect of the FFA and moisture contents For the alkali-catalyzed transesterification, the feedstock is very sensitive to the FFA content, and all materials should be substantially anhydrous (Wright, Segur et al. 1944). The presence of FFA and water can cause an undesired side reaction with the catalyst and produce soaps. Therefore, the effectiveness of catalyst is reduced and the formed soaps increase the viscosity of the reaction mixture. High viscosity will lead to the formation of gels, which make the latter separation of glycerol difficult. Meher, Vidya Sagar et al. (2006) indicated that the FFA and moisture contents are key parameters for determining the feasibility of the transesterification process. It is suggested that the FFA content of the feedstock used in the transesterification process should be as low as possible, typically below 1% (acid value less than 2 mgKOH/g). Canakci and Van Gerpen (2001) reduced the recommended acidity to below 0.5%. 2.3.2.2 Effect of the molar ratio of alcohol to triglyceride The molar ratio of alcohol to triglyceride is another important factor affecting the yield of biodiesel. According to Equation 2.26, the transesterification reaction requires three moles of alcohol and one mole of triglyceride to yield three moles of fatty acid alkyl esters and one mole of glycerol. However, transesterification is an equilibrium reaction so a large amount of excess alcohol is required to advance the reaction. Freedman, Pryde et al. (1984) studied the effect of different molar ratios of alcohol to triglyceride from 1:1 to 6:1 on the transesterification reaction by using different vegetable oils including soybean, sunflower, peanut, and cotton seed oils. For all the tested oils, the highest conversions (93% 27 -98%) were achieved at a 6:1 molar ratio of alcohol to oil. Rashid and Anwar (2008) found the optimum yield (98%) of biodiesel was obtained at a 6:1 molar ratio of alcohol to oil. In the case that molar ratios of alcohol to oil are higher than 6:1, separation of esters from glycerol will be difficult. The excess methanol can hinder the gravity decantation, and a portion of the glycerol will remain in the biodiesel phase. 2.3.2.3 Effect of the catalyst type and concentration Catalysts used for the transesterification are classified as alkali, acid, or enzyme, among which alkali catalysts are more effective (Freedman, Pryde et al. 1984). Alkaline metal hydroxides, such as KOH and NaOH, and metal alkoxides, such as sodium methoxide (CH3ONa), can be used as catalyst to accelerate the transesterification reaction. Alkaline metal hydroxides are cheaper and less active than metal alkoxides, but they can achieve the same conversions of vegetable oils just by increasing their concentrations to 1 or 2 mol% (Schuchardt, Sercheli et al. 1998). Currently, they are being widely used in industrial biodiesel production. KOH was used by Vicente, Martínez et al. (2006) at 25°C and 45°C and they found the reaction rate increased as the KOH concentration increased. The same behaviour was also observed in other temperatures. Leung and Guo (2006) found that the maximum content of biodiesel was reached when the catalyst concentrations of NaOH, CH3ONa, or KOH are 1.1, 1.3, or 1.5 wt.%, respectively. Moreover, the biodiesel yields, by using NaOH and KOH as catalyst, were lower than that of CH3ONa. Meka, Tripathi et al. (2007) studied the effect of NaOH concentration on the reaction time at two temperatures of 50°C and 60°C when using safflower oils as feedstock. The reaction time decreased proportionally as an increase in NaOH concentration from 1 to 2 wt.%, but soaps were formed when the NaOH concentration 28 was above 2 wt.%. Rashid and Anwar (2008) evaluated the effect of KOH, NaOH, potassium methoxide (CH3OK), and CH3ONa and their concentrations on the transesterification of safflower oils. In their study, CH3ONa exhibited the highest yield of methyl esters. 2.3.2.4 Effect of the reaction temperature The reaction rate of the transesterification process is strongly influenced by the reaction temperature. Increasing temperature can enhance the solubility between two miscible phases and create much interfacial surface area for the transesterification reaction. Generally, the transesterification was conducted near the boiling point of alcohol at atmospheric pressure. Freedman, Pryde et al. (1984) found that at temperatures of 60°C, 75°C, and 114°C, ester conversions of 96% to 98% were obtained by transesterifying refined oils with methanol, ethanol, and butanol for one hour using 0.5% CH3ONa as catalyst. However, Leung and Guo (2006) found a higher temperature can decrease the viscosities of feedstock oils and increase the reaction rate of transesterification. In addition, higher temperature will accelerate the side saponification reaction of triglycerides. Rashid and Anwar (2008) recommended that the optimum temperature for methanolysis of safflower oils is 60°C, and a conversion of 98% was achieved after 120 min. 2.4 Process of Biodiesel Production from Low Quality Feedstocks As discussed before, the cost of high quality feedstocks accounts 70-95% of the total biodiesel production cost. Therefore, an alternative economic approach for reducing the biodiesel production cost is to use another affordable feedstock such as low quality 29 feedstocks. A number of low quality feedstocks can be used for biodiesel production, for example, spoiled soybeans, beef and pork tallow, recycled restaurant frying oils, and byproducts such as soap stock from other processes involving vegetable oils. Canakci and Van Gerpen (2001) developed a two-step process to produce fuel– quality biodiesel by using low quality feedstocks. The process includes an acid esterification followed by an alkaline transesterification. Their results showed the esterification as a pre-treatment process could successfully decrease the acid value of yellow and brown grease to less than 2 mgKOH/g, but a higher molar ratio and longer reaction time were needed than in those using simulated low quality feedstocks. Al-Widyan and Al-Shyoukh (2002) studied the transesterification of waste vegetable oils by using acid catalysts (HCl and H2SO4). Their results showed that by using a high catalyst concentration (1.5-2.25 M), biodiesel could be produced in a shorter reaction time and had a lower specific gravity than that using a low catalyst concentration. They concluded that the optimum reaction condition in the transesterification process was 2.25 M H2SO4 with 100% excess ethanol. Zhang, Dube et al. (2003) carried out a simulation process for comparing the alkali-catalyzed and acid-catalyzed biodiesel production processes when using waste cooking oil. The alkali-catalyzed process reduced the raw material cost, but it was a very complex process with a great number of equipment pieces due to the pre-treatment of FFA. The acid-catalyzed process had less equipment pieces but required a large amount of methanol. 30 Ghadge and Raheman (2005) developed a two-step pre-treatment process including esterification followed by an alkali-transesterification to produce biodiesel from mahua oils (Madhuca indica), which contain 19% FFA by weight of oil. A yield of 98% mahua biodiesel was obtained, which has comparable fuel properties with diesel and meets the American and European standards of biodiesel. Ramadhas, Jayaraj et al. (2005) also developed a two-step process (an acid esterification followed by an alkali transesterification) for biodiesel production from rubber seed oils containing a high level of FFA. Their results showed that the first step (acid-catalyzed esterification) could reduce the FFA content to less than 2%. The alkalicatalyzed transesterification process converted the products of the first step to monoesters and glycerol. Zullaikah, Lai et al. (2005) employed a two-step acid-catalyzed methanolysis process to convert rice bran oils into fatty acid methyl ester. A H2SO4 solution (1-5 wt.%) was used as acid catalyst. The first step was carried out at 60°C and more than 98% FFA and less than 35% of oil was reacted in 2 hours. The organic phase of the first step reaction product was used as a substrate for a second acid-catalyzed methanolysis at 100°C. Through the two-step methanolysis process, more than 98% FAME in the product was obtained in less than 8 hours. Zheng, Kates et al. (2006) studied the reaction kinetics of the acid-catalyzed transesterification of waste frying oils in excess methanol. Their results showed the acidcatalyzed transesterification reaction of waste frying oils in methanol is essentially a pseudo-first-order reaction, provided that the methanol/oil molar ratio is close to 250:1 at 31 70°C or in the range of 74:1 and 250:1 at 80°C. Under these conditions, the biodiesel production could reach 99 ± 1%. Wang, Liu et al. (2007) designed a new two-step catalysis process for biodiesel production. In their process, ferric sulphate (Fe2(SO4)3) was utilized to catalyze the esterification reaction, and then, KOH was added to catalyze the transesterification reaction. The lowest acid value of waste cooking oils pretreated by Fe2(SO4)3 was 2.10 ± 0.036 mg KOH/g. Their results showed the conversion of FFA in the waste cooking oil could reach 97.22% in the first step. 32 Chapter 3 Acid-catalyzed Esterification Reaction 3.1 Acid-catalyzed Esterification Experiments A large number of bench-scale experiments were conducted to investigate the reaction kinetics of the Acid-catalyzed esterification reaction. A mixture of virgin canola oil and pure oleic acid /pure linoleic acid was used as a substrate of a low quality feedstock. This chapter provides details of the experimental apparatuses, experimental procedures, sample analyses, and data analyses. 3.1.1 Materials The vegetable oil used in the experiments was the “No Name” brand Canola oil purchased from local grocery store. The oil tested had a FFA content of less than 0.015 wt.%. Methanol (purity: 99.98%) and H2SO4 (purity: 95-98%) for reaction were purchased from Fisher Scientific (Ottawa, Ontario). Free fatty acids of oleic acid (purity ≥ 90%) and linoleic acid (purity ≥ 90%) were bought from Sigma-Aldrich (Oakville, Ontario). The purities and suppliers of chemicals used in the experiments are listed in Table 3.1. 3.1.2 Experimental Setups Figures 3.1 and 3.2 show a schematic diagram and photographs of the experimental setup designed for the esterification reaction. The esterification reaction system consisted of (1) one 500 mL bench-scale reactor; 33 Table 3.1: Purities and suppliers of chemicals Chemical name Supplier Purity H2SO4 Fisher Scientific 95-98% Linoleic acid Sigma-Aldrich 90% Methanol Fisher Scientific 99.98% Oleic acid Sigma-Aldrich 90% 34 Mechanical Stirrer Condenser Temperature Indicator Thermostatic Water Bath Impeller Water Jacket Figure 3.1: Schematic diagram of experimental setup for acid-catalyzed esterification reaction 35 Reactor Water bath Figure 3.2: Photographs of the esterification experimental setup (Original in color) 36 (2) one reflux condenser, which was connected to the reactor in order to prevent material loss from vaporization; (3) one warmer warming jacket to maintain the reaction temperature with an accuracy of ±1°C; (4) one water bath to adjust to a desired temperature; (5) one mechanical stirrer to provide a desired mixing intensity; (6) one temperature couple to monitor the reaction temperature at the liquid/liquid interface; and (7) one stopper for sample collections. 3.1.3 Experimental Procedure and Conditions In the esterification experiment, pure oleic or linoleic acid was used as a representative of FFA. The virgin canola oil was mixed with pure oleic acid or linoleic acid as a substrate of a low quality feedstock containing different levels of FFA. The esterification of low quality feedstock was performed in a 500 mL bench-scale reactor. Prior to the reaction, 250 mL low quality oil was added into the reactor. An impeller was placed in the middle of the oil phase and set at a particular mixing speed in order to keep the interface between the two phases undisturbed. Meanwhile, a known amount of H2SO4 (catalyst) was mixed with 93 mL methanol. With this amount of methanol, the concentration of methanol was excessively larger than that of FFA (over 40 times), in order to drive the reversible reaction equilibrium towards the formation of ester and eliminate the impact of the concentration of methanol on the reaction rate. The catalyst/methanol mixture was heated to the reaction temperature in a water bath. In order to keep the two-phase interface undisturbed, a separating funnel was used to smoothly add the preheated catalyst/methanol mixture into the reactor. The reaction temperature 37 was controlled by the water bath. The reaction was timed until it reached its equilibrium. During the experiment, samples were collected from the oil phase using a 15 mL syringe at different time intervals, transferred into 15 mL test tubes, and then immersed in cold water at 4°C to quench the reaction immediately. For better separation of the final mixture, the samples were centrifuged for 5 min at 3000 rpm, and, then, the top layer sample was collected and sent for analysis. Figure 3.3 illustrates the esterification experimental procedure in steps. Except for the sample analysis, all the experiments were conducted in the fume hood for safety purposes. Experimental conditions for the acidcatalyzed esterification are listed in Table 3.2 . 3.1.4 Analytical Methods FFA content was determined by colour-indicator titration from the Standard Test Method for Acid and Base Number (ASTM D 974). p-naphtholbenzein was used as an indicator in an isopropanol/toluene mixture. The sample was titrated against a 0.1 mol/L potassium hydroxide (KOH) solution. The titration endpoint was determined when the colour of the sample changed from orange to green. The acid number and FFA conversion were calculated as follows: mg KOH volume KOH (mL) N KOH (mmol/mL) 56.1(mg/mmol) Acid value sample weight (g) g sample FFAconversion(%) Ai At 100 Ai [3.1] [3.2] where Ai= the initial acid value; and At= the acid value at a certain reaction time. 38 Methanol/H2SO4 Reaction mixture Simulated low quality oil Esterification reaction Reaction mixture Quench Dried biodiesel Centrifuge Reaction Figure 3.3: Experimental procedure for the acid-catalyzed esterification 39 Titration Table 3.2: Experimental conditions for the acid-catalyzed esterification reaction Experimental Parameter Condition Acid value range (mg KOH/g) 4-38 Methanol (mL) 93 Oil + oleic acid /linoleic acid (mL) 250 H2SO4 (wt.%) 1, 2, 3 Reaction temperature (°C)* * 35, 50, 62 Accuracy = 1.0°C 40 3.2 Results and Discussion In a pseudo-homogenous reaction system, the hydrodynamic effect was normally ignored. However, the hydrodynamic effect was still found to be significant and affect the overall reaction rate in the heterogeneous reaction system. The esterification reaction is a heterogeneous reaction of two immiscible phases so its overall reaction rate is affected by the hydrodynamic effect and chemical reaction. In this study, a new reaction system of esterification reaction was developed considering both hydrodynamic effect and chemical reaction. Based on this reaction system, a new experimental setup was designed to achieve a chemical kinetically-controlled reaction system, in which the hydrodynamic effect was eliminated under particular experimental conditions. By using this reaction system, a number of experiments were carried out. The parametric effects including temperature, catalyst concentration, and initial FFA concentration on the FFA conversion were examined. In addition, the chemical reaction rate constant and activation energy were also determined. 3.2.1 Design of a New Reaction System According to the two-film theory, two factors contribute to the hydrodynamic effect on the heterogeneous reaction: one is the mass transfer resistance between the reactant bulk and the reaction interface and the other is the interfacial surface area available for the reaction. Providing improved mixing in the reaction system can not only enhance the interchange of the reactant between the interface and the bulk, but also increase the number of droplets and decrease their dimensions, thereby increasing the interfacial surface area. In previous esterification reaction systems, the reaction kinetics were only studied under high agitation speeds, in which the hydrodynamic limitation was 41 considered negligible. However, the correlation between the agitation speed and the hydrodynamic effect in the systems was not fully ascertained. Since it is difficult to quantify the mass transfer resistance and the interfacial surface area in a vigorously mixed reaction system, the new reaction system was controlled in a gentle mixed system (undisturbed interface), in which the interfacial surface area is fixed and equal to the undisturbed two-phase interface. Since the interfacial surface area is fixed, the hydrodynamic effect on the esterification reaction is only dependent on the mass transfer resistance, which changes with the agitation in the system. Three modes of agitation, including no agitation in the system, agitation in the oil phase, and agitation in the methanol phase, were evaluated by using the esterification experimental setup as shown in Figure 3.1. The agitation speed was controlled to keep the two-phase interface undisturbed. As shown in Figure 3.4, the FFA conversion slightly increased up to 3% in 60 min in the cases of agitation in the methanol phase and no agitating in the system. However, in the case of agitation in the oil phase, the FFA conversion increased up to 40% in 60 min. The above results show that the FFA conversion did not increase due to the agitation in the methanol phase compared to that of no agitation in the system. This indicates that mass transfer resistance does not exist in the methanol phase, since it is almost an instantaneous reaction, so the esterification reaction takes place at the mass transfer interface, i.e., the two-phase interface. Mass transfer resistance exists in the oil phase because the FFA conversion greatly increased due to the agitation 42 100 FFA Conversion (%) 80 no agitation at two phase agitate oil phase 50 rpm 60 agitate methanol phase at 50 rpm 40 20 0 0 10 20 30 40 50 60 Reaction Time (min) Figure 3.4: Effect of position of the mechanical impeller on the FFA conversion (T=50°C, H2SO4 concentration =3 wt.%, FFA content =36 mgKOH/g) 43 in the oil phase. When the oil phase was agitated, the mass transfer resistance of FFA in the oil phase was reduced due to the enhanced interchange of FFA between the interface and the oil bulk, resulting in a much higher increase in FFA conversion with time compared to that of no agitation in the system. Under a particular agitation speed limit in the oil phase, the interfacial surface area available for the reaction remains constant as the agitation speed increases and is equal to the surface area of the two-phase interface as long as the interface remains undisturbed. When the interface is disturbed as the agitation speed increases, the nonpolar oil phase in a larger volume will become a continuous phase and the methanol phase will become droplets of dispersed phase. The interfacial surface area for the reaction will change and be determined by the droplet size of the dispersed phase. Figure 3.5 illustrates the change of the interface state between the oil and methanol phases as the agitation speed increases. Since the mass transfer resistance of FFA only exists in the oil phase and the interfacial surface area equals the fixed surface area of the two-phase interface at particular agitation speeds, the mass transfer effect on the overall reaction rate can be easily evaluated in the esterification reaction system. A number of experiments were carried out to study the FFA conversion at different agitation speeds. The agitation speed was controlled in a range of 0 to 200 rpm, within which the state of the two-phase interface in the system shifted from undisturbed to disturbed by visual observation. As shown in Figure 3.6, three different reaction stages are found as the agitation speed increases at 50°C. In stage I (0 to 80 rpm), the two-phase interface was not disturbed; the interfacial surface area equaled the surface area of the interface. 44 Low Agitation Speed High Figure 3.5: Change of the interface state with increasing agitation speeds 45 When increasing the agitation speed, the film thickness of the oil phase decreased, thereby decreasing the mass transfer resistance of FFA. As a result, the FFA conversion increased as the agitation speed increased. In stage II (80 to 115 rpm), the interface was still not disturbed; the interfacial surface area equaled the surface area of the interface. However, the FFA conversion remained constant as the agitation speed increased. This is because the film thickness in the oil phase became negligible as the agitation speed increased. Thus, the mass transfer resistance of FFA in the oil phase had no impact on the FFA conversion. The esterification reaction was totally controlled by chemical reaction. In stage III (larger than 115 rpm), the interface was disturbed and the FFA conversion increased again as the agitation speed increased. The reaction system became a vigorously mixed system in which both the interfacial surface area and mass transfer resistance of FFA in the mixed system imposed great impacts on the FFA conversion. The same results were obtained at 62°C and 35°C as shown in Figures 3.7 and 3.8. The FFA conversion remained constant (stage II) when the agitation speeds were in the ranges of 80-100 rpm and 80-123 rpm, respectively. A new reaction system was developed for esterification reaction, considering both hydrodynamic effect and chemical reaction. In order to eliminate the hydrodynamic effect in the reaction system, the new system needed to meet the following conditions: (1) no agitation exists in the methanol phase because mass transfer resistance is negligible in the methanol phase; 46 100 III FFA Covnersion (%) 80 II I 60 Reaction Time 20 min 40 40 min 60 min 20 0 0 20 40 60 80 100 120 140 160 180 200 220 Agitation Speed (rpm) Figure 3.6: Effect of agitation speed on the FFA conversion rate (T=50°C, H2SO4 concentration=3wt.%, FFA content=37 mgKOH/g) 47 100 II FFA Conversion (%) 80 60 Reaction Time 20 min 40 40 min 60 min 20 0 0 20 40 60 80 100 120 Agitation Speed (rpm) Figure 3.7: Effect of agitation speed on the FFA conversion rate (T=62°C, H2SO4 concentration=3 wt.%, FFA content=37 mgKOH/g) 48 100 FFA Conversion (%) 80 III Reaction Time 60 0 min 20 min 40 40 min 60 min 20 0 0 20 40 60 80 100 120 140 Agitation Speed (rpm) Figure 3.8: Effect of agitation speed on the FFA conversion rate (T=35°C, H2SO4 concentration=3 wt.%, FFA content=37 mgKOH/g) 49 (2) agitation exists in the oil phase because mass transfer resistance of FFA exists in the oil phase. (3) interface between the oil phase and methanol phase remains undisturbed when mixed, i.e., the two phases are separate, and (4) agitation speed in the oil phase is controlled at 80 rpm in this study, in which the FFA conversion does not change as the agitation speed increases. The mass transfer resistance of FFA in the oil phase is negligible. and also two assumptions need to be made (1) all reacted FFA is converted to biodiesel; and (2) the reverse reaction of esterification is negligible because the excessive amount of methanol can drive the reaction forward. In Chapter 2, the overall reaction rate of esterification is obtained with Equation 2.9: FFFA VRX 1 r 1 1 k FFAO a k ' RX C FFAO [2.9] In this equation, the overall reaction rate is affected by the concentration of FFA in the oil bulk, the mass transfer resistance in the oil film, and the chemical reaction rate. In this study, the hydrodynamic effect is negligible and can be ignored. The chemical reaction rate of the esterification is then: r k' RX CFFA 50 [3.3] (Note: for a simplified notation, we will use CFFA as the concentration of the FFA in the oil phase instead of CFFA-o hereafter.) By integrating Equation 3.3, the pseudo-first order rate constant can be obtained from Equation 3.4, which is the slope of the graph, by plotting ln ln CFFA0 against time. CFFA CFFA0 k ' RX t CFFA [3.4] where CFFA0 = initial concentration of FFA; CFFA = concentration of FFA at time t. The Arrhenius equation was used to study the influence of temperature on specific reaction rates. Once the k'RX value is determined at different temperatures, the activation energy for the esterification can be estimated by using the Arrhenius equation: Ea RT k 'RX Ae [3.5] where A=frequency factor; Ea=activation energy; R=universal gas constant; T= temperature. 3.2.2 Determination of Reaction Rate Constant and Activation Energy Based on the previous discussions and results, an experimental setup was designed for studying the reaction kinetics of esterification. As shown in Figure 3.1, an impeller was placed in the oil phase. According to previous results in this chapter, the agitation speed was controlled at 80 rpm to eliminate the hydrodynamic effect on the reaction. The kinetics study was carried out under different experimental conditions including temperature, catalyst concentration, and initial concentration of FFA. The reaction rate constant and activation energy were estimated. 51 According to Equation 3.4, the relationship between ln CFFA0 and reaction time (t) CFFA is linear. The value of the rate constant (k´RX) equals the slope of the linear regression trendline. Thus, ln CFFA0 is plotted against t in different experimental conditions. As CFFA shown in Figures 3.9-3.11, the resulting data fits pseudo-first order kinetic behaviour. The high correlation coefficients (R2) of the liner equation indicate that there is a first order dependence of the esterification reaction catalyzed by H2SO4. The rate constants (k´RX) under different experimental conditions, including temperature, catalyst concentration, and initial concentration of FFA, were calculated and are shown in Tables 3.3-3.5. The activation energy and frequency factor of the esterification reaction were estimated using Equation 3.5. By taking the natural logarithm of both sides of Equation 3.5, Equation 3.6 is obtained: lnk 'RX lnA Ea RT [3.6] Equation 3.6 shows lnk'RX and 1/T is a linear relationship with a slope of -Ea/RT and an intercept of lnA. Since the values of k'RX at different temperatures were determined in Table 3.3-3.5, the Arrhenius plot of lnk'RX versus 1/T is made in Figure 3.12 at three H2SO4 concentrations (1, 2, and 3 wt.%). By performing a linear regression of lnk'RX versus 1/T, the activation energy and frequency factor are determined from the 52 3 2.5 ln(CFFA0 /CFFA) 2 1.5 Initial FFA Content 35.47 mgKOH/g 1 13.32 mgKOH/g 0.5 5.90 mgKOH/g 0 0 60 120 180 240 300 360 Reaction Time (min) (a) 3 ln(C FFA0 /C FFA) 2.5 2 Initial FFA Content 1.5 36.39 mgKOH/g 1 14.14 mgKOH/g 0.5 4.86 mgKOH/g 0 0 60 120 180 240 Reaction Time (min) (b) 3 ln(C FFA0 /C FFA) 2.5 2 Initial FFA Content 1.5 35.62 mgKOH/g 1 15.30 mgKOH/g 4.74 mgKOH/g 0.5 0 0 60 120 180 240 Reaction Time (min) (c) Figure 3.9: Graph of ln CFFA0 as a function of time (H2SO4 concentration =3 wt.%) CFFA (a)T=35°C (b) T=50°C (c) T=62°C 53 3 ln(CFFA0 /CFFA) 2.5 2 Intial FFA Content 1.5 37.33 mgKOH/g 1 5.20 mgKOH/g 0.5 0 0 60 120 180 240 300 360 Reaction Time (min) (a) 3 ln(CFFA0 /CFFA) 2.5 2 1.5 Intial FFA Content 1 37.33 mgKOH/g 0.5 4.72 mgKOH/g 0 0 60 120 180 240 300 Reaction Time (min) (b) 3 2.5 2 ln CFFAO/CFFA Intial FFA Content 1.5 37.33 mgKOH/g 1 4.72 mgKOH/g 0.5 0 0 60 120 180 240 300 Reaction Time (min) (c) Figure 3.10: Graph of ln CFFA0 as a function of time (H2SO4 concentration =2 wt.%) CFFA (a)T=35°C (b) T=50°C (c) T=62°C 54 3 ln (C FFA0 /C FFA) 2.5 2 Initial FFA Content 1.5 35.87 mgKOH/g 1 14.60 mgKOH/g 0.5 5.27 mgKOH/g 0 0 60 120 180 240 300 360 420 Reaction Time (min) (a) 3 2.5 ln(CFFA0/CFFA) 2 Initial FFA Content 1.5 36.09 mgKOH/g 1 4.74 mgKOH/g 0.5 0 0 60 120 180 240 300 360 Reaction Time (min) (b) 3 ln(C FFA0 /C FFA) 2.5 2 Initial FFA Content 1.5 36.09 mgKOH/g 1 4.74 mgKOH/g 0.5 0 0 60 120 180 240 300 Reaction Time (min) (c) CFFA0 Figure 3.11: Graph of ln as a function of time (H2SO4 concentration =1 wt.%) CFFA (a)T=35°C (b) T=50°C (c) T=62°C 55 Table 3.3: Reaction rate constants at 3 wt.% H2SO4 Initial FFA content Temperature Reaction rate constant (mgKOH/g) (°C) k´RX (min-1) ×102 Correlation coefficients (R2) 0.53 0.9376 0.53 0.9910 5.90 0.47 0.9559 36.39 1.07 0.9583 1.12 0.9970 4.86 0.95 0.9920 35.62 1.63 0.9801 1.83 0.9910 1.77 0.9862 35.47 13.32 14.14 15.30 35 50 62 4.74 56 Table 3.4: Reaction rate constants at 2 wt.% H2SO4 Initial FFA content Temperature Reaction rate constant (mgKOH/g) (°C) k´RX (min-1) ×102 Correlation coefficients (R2) 0.59 0.9855 0.54 0.9968 0.97 0.9889 0.93 0.9941 1.48 0.9885 1.61 0.9876 37.33 35 5.20 37.33 50 4.72 37.33 62 4.72 57 Table 3.5: Reaction rate constants at 1 wt.% H2SO4 Initial FFA content Temperature Reaction rate constant (mgKOH/g) (°C) k´RX (min-1) ×102 Correlation coefficients (R2) 0.49 0.9537 14.6 0.50 0.9384 5.90 0.37 0.9884 36.09 0.76 0.9819 4.86 0.80 0.9914 36.09 1.25 0.9836 1.29 0.9987 35.47 35 50 62 4.74 58 0 -1 H 2 SO 4 Concentration -2 lnk'RX 1wt.% -3 2wt.% 3wt.% -4 -5 -6 0.00295 0.003 0.00305 0.0031 0.00315 0.0032 0.00325 0.0033 1/T Figure 3.12: Arrhenius plot of lnk'RX against 1/T (Esterification of oleic acid) 59 slope and intercept of the regression trendline, respectively. Results including the activation energy, frequency factor, and the correlation coefficient (R2) are shown in Table 3.6. The correlation coefficient is very close to one, which indicates a very good linear relationship between lnk'RX and 1/T. Additionally, the frequency factor increases as the H2SO4 concentration increases. The high frequency factor, which is a measure of collisions between reactants, indicates that the esterification reaction is more favoured at 3 wt.% H2SO4 than those at 2 wt. % and 1 wt.% H2SO4. 3.2.3 Parametric Effects on the Esterification Reaction 3.2.3.1 Effect of Temperature The reaction temperature is an important operating parameter affecting the reaction rate. The effect of temperature on the esterification reaction was studied by using a 3 wt.% H2SO4. Figure 3.13 shows the FFA conversion as a function of time at three different temperatures including 35°C, 50°C, and 62°C. The initial FFA contents used in the experiment are 35-38 mg KOH/g, as in Figure 3.13 (a), and 13-16 mg KOH/g, as in Figure 3.13 (b). The results show that the reaction temperature has a great impact on FFA conversion. An increase of temperature caused FFA conversion to increase until the reaction reached equilibrium. It took less time to reach the same conversion at a high temperature than at a relatively low temperature. For example, when the initial FFA concentration was 35-38 mg KOH/g, it took approximate 500 min at 35°C, 200 min at 50°C, and less than 100 min at 62°C to get 80% FFA conversion. This indicates that the esterification reaction rate increased as the reaction temperature increased, and the 60 Table 3.6: Activation energy in the esterification reaction of oleic acid H2SO4 concentration Ea Correlation coefficients A (R2) (wt.%) (kJ/mol) 1 32.48 1436.55 0.9961 2 31.96 1450.99 0.9956 3 39.14 22136.87 0.9999 61 100 FFA Conversion (%) 80 Temperature 60 35℃ 40 50℃ 62℃ 20 0 0 200 400 600 800 Reaction Time (min) (a) FFA Conversion (%) 100 80 Temperature 60 35℃ 40 50℃ 62℃ 20 0 0 100 200 300 400 500 Reaction Time (min) (b) Figure 3.13: Effect of temperature on the FFA conversion (H2SO4 concentration=3 wt.%) (a) Initial FFA content=35-38 mg KOH/g (b) Initial FFA content=3-16 mg KOH/g 62 reaction rate decreased with time. This can be explained by the reaction rate constants calculated at three different temperatures. As seen in Figure 3.14, an increase of temperature leads to an increased reaction rate constant in a proportional manner. Since, at a higher temperature, the FFA molecules and alcohol molecules have more thermal energy and the collision frequency between them is increased with the elevated temperature, an increase of temperature causes the reaction rate constant to increase, leading to an increase of the reaction rate. Therefore, it is preferable that the esterification reaction proceed at a relatively high temperature in order to obtain a high reaction rate. 3.2.3.2 Effect of Catalyst Concentration Figure 3.15 shows the FFA conversion profiles of the esterification reaction using three different concentrations of H2SO4: 1 wt.%, 2 wt.%, and 3 wt.% at three reaction temperatures of 35°C, 50°C, and 62°C. The results show that at relatively high temperatures, such as 50°C or 62°C, the FFA conversion increased as the catalyst concentration increased over the same time until the reaction reached equilibrium. For example, at 62°C, only 30% FFA conversion was obtained in 60 min when the concentration of H2SO4 was 1%, but when the concentration of H2SO4 was increased to 2 wt.%, the FFA conversion increased to 50% in 60 min. Also, when the concentration of H2SO4 was 3 wt.%, the FFA conversion reached as high as 70%. Then, after the reaction reached equilibrium, an increase of H2SO4 concentration could not lead to a further increase in the FFA conversion. The maximum FFA conversions were almost the same when comparing three different concentrations of H2SO4. This indicates that an increased 63 2.00 1.80 k'RX( min-1 )×10 2 1.60 1.40 1.20 1.00 Initial FFA Content 0.80 35-38 mg KOH/g 0.60 13-16 mg KOH/g 0.40 0.20 0.00 0 10 20 30 40 50 60 70 Reaction Temperature (℃) Figure 3.14: Effect of temperature on the reaction rate constant (H2SO4 concentration=3 wt.%) 64 100 FFA Conversion (%) 80 60 H2SO 4 Concentration 40 1 wt.% 2 wt.% 20 3 wt.% 0 0 60 120 180 240 300 360 Reaction Time (min) (a) FFA Conversion (%) 100 80 60 H2SO 4 Concentration 40 1 wt.% 2 wt.% 20 3 wt.% 0 0 60 120 180 240 300 360 Reaction Time (min) (b) 100 FFA Conversion (%) 80 60 H2SO4 Concentration 1 wt.% 40 2 wt.% 20 3 wt.% 0 0 60 120 180 240 300 Reaction Time (min) (c) Figure 3.15: Effect of catalyst concentration on the FFA conversion (Initial FFA content=35-38 mg KOH/g) (a) T=35°C (b) T=50°C (c) T=62°C 65 concentration of catalyst could effectively reduce the reaction time but could not change the maximum conversion efficiency. However, at a low temperature, such as 35°C, the FFA conversion remained almost constant over the same reaction time when the concentration of H2SO4 increased from 1 wt.% to 3 wt.%. The different effects of the catalyst concentration on the FFA conversion resulted in different reaction rate constants. Figure 3.16 shows the reaction rate constant as a function of the catalyst concentration at 35°C, 50°C, and 62°C. It is clear that at 50°C and 62°C, an increase of catalyst concentration caused the reaction rate constant to increase, resulting in an increased reaction rate. However, at 35°C, the change of reaction rate constant with the catalyst concentration is very small, leading to an unchanged reaction rate in different catalyst concentrations. 3.2.3.3 Effect of FFA Content The effect of initial FFA content on the reaction rate was investigated at two different temperatures: 50°C and 62°C. Figure 3.17 shows the profiles of acid value as a function of reaction time (t) in three different initial FFA contents: 35 mgKOH/g, 14 mgKOH/g, and 4 mgKOH/g. The results illustrate that the initial FFA content had a significant impact on the reaction rate, which is the slope of the CFFA-t plot. An increase in the initial FFA content led to an increased reaction rate until the reaction reached equilibrium. This result can be simply explained by Equation 3.3. Since the reaction is an equilibrium reaction, increasing the initial FFA content drives the equilibrium forward 66 1.80 1.60 k' RX ( min-1 )×10 2 1.40 1.20 Temperautre 1.00 35℃ 0.80 50℃ 0.60 62℃ 0.40 0.20 0.00 0 1 2 3 4 H2 SO4 Concentration (wt.%) Figure 3.16: Effect of catalyst concentration on reaction rate constant (Initial FFA content =35-38 mgKOH/g) 67 FFA Content (mgKOH/g) 40 Initial FFA Content 4.86 mgKOH/g 14.14 mgKOH/g 20 36.39 mgKOH/g 0 0 60 120 Reaction Time (min) (a) FFA Content (mgKOH/g) 40 Initial FFA Content 4.74 mgKOH/g 20 15.30 mgKOH/g 35.62 mgKOH/g 0 0 60 120 Reaction Time (min) (b) Figure 3.17: Change of FFA content as a function of reaction time (a) T=50°C (b) T=62°C 68 and increases the reaction rate. Figure 3.18 shows the reaction rate constant as a function of the initial FFA content. The values of the reaction rate constants were very close and have no clear trend as the FFA content increased. This indicates the initial FFA content had no impact on the reaction rate constant. 3.2.3.4 Effect of the Type of FFA Previous studies on the esterification reaction were conducted by using an oleic acid as FFA, which was added into canola oil for simulating a low quality feedstock. Since linoleic acid is another major component of FFA in low quality feedstocks, esterification reactions using a mixture of linoleic acid and canola oil as feedstock were also studied and the activation energies were also determined using the same method as the previous studies with the oleic acid. Figure 3.19 shows the Arrhenius plot of lnk'RX against 1/T at two different H2SO4 concentrations: 1 wt.% and 3 wt.%. By performing a linear regression of the lnk'RX -1/T plot, the activation energy and the frequency factor were determined. As seen in Table 3.7, the esterification reaction of linoleic acid had a very similar activation energy at the two different catalyst concentrations. Similarly to the esterification reaction of oleic acid, for the esterification reaction of linoleic acid, the catalyst concentration had no impact on the activation energy. By comparing the activation energy of the esterification reaction of oleic acid in Table 3.6 with that of linoleic acid in Table 3.7, it shows that the esterification reactions of oleic acid and linoleic acid have very similar activation energies 69 2.00 1.80 k'RX ( min-1 )×10 2 1.60 1.40 1.20 1.00 Temaperture 0.80 50℃ 0.60 62℃ 0.40 0.20 0.00 0 5 10 15 20 25 30 35 40 Initial FFA Content (mgKOH/g) Figure 3.18: Effect of the initial FFA content on the reaction rate constant 70 . 0 -1 H 2 SO 4 Concentration lnk' RX -2 1wt.% -3 3wt.% -4 -5 -6 0.00295 0.003 0.00305 0.0031 0.00315 0.0032 0.00325 0.0033 1/T Figure 3.19: Arrhenius plot of lnk΄RX against 1/T (Esterification of linoleic acid) 71 Table 3.7: Activation energy of the esterification reaction using linoleic acid H2SO4 concentration Ea Correlation coefficients A (R2) (wt.%) (kJ/mol) 1 31.58 1344.261 0.9584 3 34.23 4072.857 0.9770 72 Mixtures of oleic acid and linoleic acid in different ratios were also investigated as FFA in the canola oil in the esterification reaction. The experiments were conducted using 3 wt.% H2SO4 (as catalyst at 65℃. Figure 3.20 shows the reaction rate constants in different ratios of oleic acid to linoleic acid. It indicates that the reaction rate constant did not change with the ratio of oleic acid to linoleic acid. Because the esterification reactions of oleic acid and linoleic acid have very similar activation energies, the unchanged reaction rate constant in different ratios of oleic acid to linoleic acid reveals that the oleic acid and linoleic acid have the same reaction behavior in the esterification reaction. 73 2.5 k' RX (min-1 ) × 10 2 2 1.5 1 0.5 0 0:1 1/4:3/4 1/2:1/2 3/4:1/4 1:0 Oleic acid: Linoleic acid Figure 3.20: Comparison of the reaction rate constants by using mixed FFA with different ratios of oleic acid versus linoleic acid (T=62°C, H2SO4 concentration =3 wt.%) 74 Chapter 4 Alkali-catalyzed Transesterification Reaction 4.1 Alkali-catalyzed Transesterification Experiments A series of bench-scale experiments were carried out to evaluate the reaction kinetics on alkali-catalyzed transesterification. Virgin canola oil was used as a source of high quality feedstocks, and it reacted with methanol in the presence of NaOH to yield biodiesel. Details of the experimental apparatus, experimental procedure, sample analysis, and data analysis are provided below. 4.1.1 Materials Methanol (purity: 99.98%) and sodium hydroxide-NaOH (purity: 99.1%) were purchased from Fisher Scientific (Ottawa, Ontario). Hexane (purity: 99.99%) and anhydrous sodium sulfate-Na2SO4 (purity: 99.9%) used for sample preparation and analysis were also obtained from Fisher Scientific. Oleic acid (purity ≥ 99%) and methyl heptadecanoate (internal standard for gas chromatography with purity of 99.5%) were obtained from Sigma-Aldrich (Oakville, Ontario). The purities and suppliers of chemicals used in the experiment are listed in Table 4.1. 4.1.2 Experimental Setups Figures 4.1 and 4.2 show a schematic diagram and photographs of the experimental setup designed for the alkali-transesterification study. The setup was designed to facilitate three consecutive steps of operation: preheating methanol, 75 Table 4.1: Purities and suppliers of chemicals Chemical name Supplier Purity Anhydrous Na2SO4 Fisher Scientific 99.9% Hexane Fisher Scientific 99.99% Linoleic acid Sigma-Aldrich 90% Methanol Fisher Scientific 99.98% Methyl heptadecanoate Sigma-Aldrich 99.5% Oleic acid Sigma-Aldrich 90% NaOH Fisher Scientific 99.1% 76 Cold water out Condenser Cold water in Thermometer Sampling point Three necked flask Stirring hot plates Figure 4.1: Schematic diagram of the alkali-catalyzed transesterification experimental setup 77 Reactors connected with condensers Water bath for preheating methanol Separating funnels Figure 4.2: Photographs of the alkali-catalyzed transesterification experimental setup (Original in color) 78 transesterification reaction, and product separation. The apparatus used for transesterification reaction includes (1) one 125 mL glass reactor; (2) one reflux condenser, which was connected with the reactor in order to prevent material loss from vaporization; (3) one Thermo Scientific Super-Nuova multi-position stirring hot plate (ColeParmer Canada Inc.) to control the reaction temperature and agitation speed; (4) one magnetic stir to supply a desired mixing intensity; and (5) one thermometer to measure the reaction temperature. 4.1.3 Experimental Procedure and Conditions The transesterification reaction took place in a 125 mL glass reactor. Prior to the reaction, 50 mL of virgin canola oil was added into the reactor, which was placed on a stirring hot plate. The reaction temperature and agitation speed of the stir were adjusted by the stirring hot plate to meet the desired experimental conditions. At the same time, a known amount of NaOH (catalyst) was mixed with a pre-measured amount of methanol. The mixture of catalyst and methanol was then heated to the reaction temperature in a water bath. The transesterification reaction took place by introducing the mixture of catalyst and methanol to the canola oil in the reactor. The reaction temperature and agitation speed were controlled for a particular period of time until the reaction reached its equilibrium. The final reaction mixture was transferred to a separating funnel and kept undisturbed for 12 hours to separate the glycerol phase and crude biodiesel phase. The separated glycerol phase in the bottom layer was disposed from the funnel, and a 10 mL 79 crude biodiesel in the top layer was collected and gently washed with 10 mL of deionized water three times to remove the unreacted catalyst, methanol residual, glycerol, and trace amount of soaps. The washed biodiesel was then dried over sodium sulfate (Na2SO4) and injected into a gas chromatograph with a mass spectrometry detector (GC/MS) for analysis of methyl ester concentration. Figure 4.3 illustrates the transesterification experimental procedure in steps. All the experiments were conducted in the fume hood for safety purposes. Experimental conditions for the alkali-catalyzed transesterification are listed in and Table 4.2. 4.1.4 Analytical Methods A dried and washed sample from the transesterification reaction was analyzed for the content of FAME, i.e., biodiesel, by using a GC/MS. The GC/MS was equipped with an Econo-Cap EC-WAX Capillary Column (30.0 m in length × 250 m in diameter × 0.25 m in film thickness). The GC oven was maintained at 50°C for 3 min, and then heated to 210°C at a rate of 10°C per minute and held at 210°C for 9 min. The front inlet temperature of the oven was 255°C (splitlessmode). The carrier gas was helium with a flow rate of 12 mL/min. The analysis of FAME was carried out by injecting 1.0 L of a sample solution that was prepared by blending the biodiesel sample with a prepared internal standard of GC, i.e., methyl heptadecanoate. The FAME content by weight was determined from Equation 4.1: 80 Water Methanol/NaOH Canola oil Transesterification Reaction Reaction mixture GC/MS Phase Phase Separation Separation Crude biodiesel Water wash Washed biodiesel Drying Na2SO4 Dried biodiesel Titration Glycerol (Disposal) Waste Water Figure 4.3: Experimental procedure for the alkali-catalyzed transesterification 81 Table 4.2: Experiment conditions for the alkali-catalyzed transesterification reaction Experimental Parameter Condition Methanol to Oil (molar ratio) 9:1 NaOH concentration (wt.%) 0.2, 0.6, 1.0 Temperature (°C)* 25, 35, 50, 65 Agitation speed (rpm) 200 * Accuracy = 2.0°C 82 ( A AR ) CRVR wt.% i AR W [4.1] where Ai= the peak area from chromatogram of FAME; AR= the peak area from chromatogram of internal standard; CR= the concentration of the internal standard; VR= the volume of the internal standard; and W = the total weight of the biodiesel sample. 4.2 Results and Discussion The main task of this part was to investigate the parametric effects, including reaction temperature, catalyst concentration, and initial FFA content, on the biodiesel conversion profile and reaction rate when using NaOH as a catalyst. The biodiesel conversion performance was evaluated in terms of FAME content (wt.%) of the reaction product as a function of reaction time. The change in FAME content with time provided an insight into the effects of these reaction parameters on the biodiesel conversion rate. It should be noted that an agitation speed of 200 rpm was chosen in this study because the speed is adequate for facilitating the reaction between oil and methanol but gentle enough to clearly reveal crucial information on the advance of biodiesel conversion with the reaction time. 4.2.1 Effect of Reaction Temperature Figures 4.4-4.6 show the effect of reaction temperature on the FAME content as a function of reaction time. Three catalyst concentrations, including 0.2, 0.6, and 1.0 wt.%, were studied at four different temperatures: 25°C, 35°C, 50°C, and 65°C. It is clear that, regardless of the catalyst concentration, raising the reaction temperature caused the biodiesel conversion to proceed at a greater rate as indicated by a faster increase in FAME content, especially during the first part of the reaction period. For 83 Methyl Esters Content (wt.%) 100 90 80 70 60 Reaction Temperature 50 25℃ 40 35℃ 30 50℃ 20 60℃ 10 0 0 1 2 3 4 5 6 7 Reaction Time (h) Figure 4.4: Effect of temperature on the conversion profile at 0.2 wt.% NaOH (Methanol/Canola oil=9:1(molar ratio); mixing speed=200 rpm) 84 Methyl Esters Content (wt.%) 100 90 80 70 60 Reaction Temperature 50 25℃ 40 35℃ 30 50℃ 20 65℃ 10 0 0 1 2 3 4 5 6 7 Reaction Time (h) Figure 4.5: Effect of temperature on the conversion profile at 0.6 wt.% NaOH (Methanol/Canola oil=9:1(molar ratio); mixing speed=200 rpm) 85 Methyl Esters Content (wt.%) 100 90 80 70 Reaction Temperature 60 50 25℃ 40 35℃ 30 50℃ 65℃ 20 10 0 0 1 2 3 4 5 Reaction Time (h) Figure 4.6: Effect of temperature on the conversion profile at 1.0 wt.% NaOH (Methanol/Canola oil=9:1(molar ratio); mixing speed=200 rpm) 86 instance, in Figure 4.5, at 0.6 wt.% catalyst concentration, a FAME content of 85 wt.% was achieved within 10 min at 65°C while it took as long as 110 min to reach the same conversion level at 25°C. The increased rate of conversion with temperature is probably caused by two main factors: (1) an increase in kinetic reaction rate of transesterification reaction with temperature and (2) a reduction in viscosity of feedstock oil with temperature that helps promote ultimate mixing between oil and methanol. From Figures 4.4-4.6, conversion profiles at lower temperatures (i.e., 25°C, 35°C) appear to have two distinct conversion regions: slow conversion for FAME content below 20 wt.% and rapid conversion for content above 20 wt.%. The slow conversion region is an indication of poor mixing between feedstock oil (with low FAME content) and methanol, which was probably caused by the large difference in viscosity between these two reactant phases. For instance, kinematic viscosity of canola oil at 40°C is 36 mm2/s whereas methanol viscosity is only 0.59 mm2/s (Perry and Green 1997). As the conversion progressed, the increasing content of FAME (with kinematic viscosity of 5 mm2/s at 40°C) caused the viscosity of oil phase to decrease significantly, resulting in improved mixing between oil and methanol, which in turn promoting rapid conversion as seen in the second part of the conversion profiles at the low temperatures in Figures 4.4-4.6. In contrast, at a high temperature, there was no dramatic change in the conversion rate. It appears from the profiles that the conversion at 50°C and 65°C proceeded rapidly as soon as the reaction started. This simply demonstrates that the negative impact of viscosity observed at the low reaction temperature was eliminated at the high temperature, offering an improvement in the rate of conversion. In addition to the rate of conversion, Figures 4.4-4.6 also provide important information on the maximum conversion level where the FAME content reaches the 87 highest value and remains relatively constant as time progresses. They show that the maximum FAME content ranges from 80 to 90 wt.% regardless of the catalyst concentration and reaction temperature. 4.2.2 Effect of Catalyst Concentration Figures 4.7-4.10 show the effect of NaOH concentration on the conversion profile of the transesterification reaction at four reaction temperatures: 25°C, 35°C, 50°C, and 65°C. In general, an increase in the catalyst concentration offers a higher rate of conversion, as indicated by the shorter reaction time, for achieving the maximum level of FAME content. As shown in Figure 4.7, at 25°C, the reaction required about 5 hours to yield the maximum conversion of 79 wt.% when the catalyst concentration was 0.2 wt.%. As the catalyst concentration increased to 0.6 wt.% and even 1.0 wt.%, the reaction time required was reduced to 2 and 1 hours, respectively. At 35°C, in Figure 4.8, the maximum conversion for 0.2 wt.% catalyst was achieved within 180 minutes while the catalyst concentrations of 0.6 wt.% and 1.0 wt.% offered a shorter reaction times of 60 and 45 minutes, respectively. At 65°C, in Figure 4.10, increasing the concentration of catalyst from 0.2 wt.% to 1.0% caused the reaction time to decrease from 30 minutes to less than 5 minutes. Therefore, the conversion rate increased as the concentration of catalyst increased. 88 Methyl Esters Content (wt.%) 100 90 80 70 60 50 NaOH Concentration 40 30 0.2 wt.% 20 0.6 wt.% 10 1.0 wt.% 0 0 1 2 3 4 5 6 Reaction Time (h) Figure 4.7: Effect of catalyst concentration on the conversion profile at 25°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) 89 100 Methyl Esters Content (wt.%) 90 80 70 60 50 NaOH Concentration 40 0.2 wt.% 30 0.6 wt.% 20 1.0 wt.% 10 0 0 1 2 3 4 Reaction Time (h) Figure 4.8: Effect of catalyst concentration on the conversion profile at 35°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) 90 100 Methyl Esters Content (wt.%) 90 80 70 60 50 NaOH Concentration 40 0.2 wt.% 30 0.6 wt.% 20 1.0 wt.% 10 0 0 0.5 1 1.5 2 Reaction Time (h) Figure 4.9: Effect of catalyst concentration on the conversion profile at 50°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) 91 100 Methyl Esters Content (wt.%) 90 80 70 60 50 Catalyst Concentration 40 0.2 wt.% 30 0.6 wt.% 20 1.0 wt.% 10 0 0 0.5 1 1.5 2 Reaction Time (h) Figure 4.10: Effect of catalyst concentration on the conversion profile at 65°C (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm) 92 4.2.3 Effect of FFA Content As mentioned in the previous chapter, using low quality feedstock such as waste cooking oil or animal fat for biodiesel production presents a number of advantages over the conventional virgin vegetable oil since the cost of waste cooking oil or fat is much lower and their availability is not directly affected by crop growing variables. However, low quality feedstock contains a large amount of FFA. In the alkali-catalyzed transesterification process, the FFA in the feedstock can react with the alkaline catalyst to form undesirable soap products, resulting in a loss of catalyst as well as a reduction in biodiesel production efficiency. Therefore, in this part of the study, the effect of FFA content on the reaction conversion was quantified through a number of experiments. Oleic acid was added into the base canola oil to form simulated low quality oil containing different levels of acid number. Figures 4.11-4.13 show the experimental results revealing the effect of FFA content on the reaction conversion when the catalyst concentrations are 0.2 wt.%, 0.6 wt.%, and 1.0 wt.%. In general, the presence of FFA caused the rate of reaction conversion to drop as the amount of alkaline catalyst available for transesterification reaction was reduced or depleted. At a catalyst concentration of 0.2 wt.%, in Figure 4.11, the conversion required as long as 50 minutes to produce 87% FAME product from a feedstock containing 0.5% FFA (acid value of 0.94 mg KOH/g) whereas it took only 20 minutes to yield a similar product from the same feedstock containing no FFA. With higher FFA content (acid value of 4.84 mg KOH/g), there was no FAME produced in the system even within 120 minutes. This indicates that the catalyst was completely consumed by FFA and no catalyst was left for the transesterification reaction. A similar result was obtained as shown in Figure 4.12 when a catalyst concentration of 0.6% was used. From Figure 4.12, increasing the FFA content from 93 nil to about 2.4% (acid value of 4.84 mgKOH/g) resulted in an increase in conversion time from less than 8 minutes to about 25 minutes in order to produce 80% FAME. The conversion rate was further reduced when the FFA content was increased to about 4.2 % (8.35 mgKOH/g), and there was no conversion as soon as the FFA content reached 4.8% (9.53 mgKOH/g). The reduction in conversion rate due to FFA content can also be seen at 1.0% catalyst concentration as shown in Figure 4.13. In addition to the rate of conversion, the presence of FFA in the feedstock can also have a negative impact on the FAME content in the reaction product produced from the alkali-catalyzed process. The results in Figure 4.12 show that the FAME content in the product decreased with the increasing percentage of FFA. An 88% FAME was obtained from the use of original canola oil while an 81% product was produced from the same oil with 2.4% FFA. The FAME content was reduced further to 55-65% when the canola oil with 4.2% FFA was used. In Figure 4.14, the appearances of the separation of the reaction mixtures are directly illustrated that the presence of FFA in the feedstock make the separation process difficult due to the soap formation. 94 Methyl Esters Content (wt.%) 100 90 80 70 60 50 Acid Value 40 Canola Oil 30 0.94mgKOH/g Canola Oil 20 4.84mgKOH/g Canola Oil 10 0 0 0.5 1 1.5 2 2.5 Reaction Time (h) Figure 4.11: Effect of free fatty acid content on the biodiesel conversion at 0.2 wt.% NaOH (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T= 65°C) 95 100 Methyl Esters Content (wt.%) 90 80 70 60 Acid Value 50 Canola Oil 40 4.84mgKOH/g Canola Oil 30 6.171mgKOH/g Canola Oil 20 8.35mgKOH/g Canola Oil 10 9.53mgKOH/g Canola Oil 0 0 0.5 1 1.5 2 2.5 Reaction Time (h) Figure 4.12: Effect of free fatty acid content on the biodiesel conversion at 0.6 wt.% NaOH (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T = 65°C) 96 Methyl Esters Content (wt.%) 100 90 80 70 60 Acid Vaule 50 40 Canola Oil 30 0.94mgKOH/g Canola Oil 20 4.84mgKOH/g Canola Oil 10 0 0 0.5 1 1.5 2 2.5 Reaction Time (h) Figure 4.13: Effect of free fatty acid content on the biodiesel conversion at 1.0 wt.% NaOH (Methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; T =65°C) 97 (a) (b) (c) Figure 4.14: Photographs showing appearances of separation of reaction mixtures in the separating funnel (Sample collected at reaction time=1 hour; NaOH (wt.%)=0.6%; methanol/Canola oil=9:1 (molar ratio); mixing speed=200 rpm; reaction temperature=65°C) (a) Acid value=4.84 mg KOH/g (b) Acid value=8.35 mgKOH/g (c) Acid value=9.53 mgKOH/g 98 4.2.4 Determination of Reaction Rate Constant Since the reaction system we applied in the alkali-catalyzed transesterification is neither a pseudo-homogenous system nor a two-phase reaction system (i.e., the acid-catalyzed reaction system applied in the previous study), the reaction rate constant calculated is the observed value. The generalized transesterification reaction is shown in the following Equation 2.26 Triglyceride (TG) + 3R′OH Glycerol (GL) + 3R′COOR3 [2.26] Because the excess methanol is used to drive the reaction forward, the reverse reaction is ignored. Then, the reaction rate can be given by Equation 4.2: r dCTG kobsC TGt C ALt dt [4.2] where kobs is the observed reaction rate constant, CTG-t is the concentration of triglyceride at time t, and CAL-t is the concentration of alcohol at time t. Here, C ALt could be considered as a constant since the methanol concentration is larger than the concentration of triglyceride. Then, Equation 4.2 can be derivated to Equation 4.3: r where dCTG k 'obs C TGt dt [4.3] ' kobs kobsC β ALt In addition, the concentration of triglyceride at reaction time t can be expressed using the conversion rate at reaction time t and initial concentration of triglyceride, as shown in Equation 4.4: CTG-t = CTG-0(1-x) 99 [4.4] where CTG-0 is the initial concentration of triglyceride and x is the triglyceride conversion rate at time t. Thus, the reaction rate can be expressed using the initial concentration of triglyceride and conversion rate as shown in Equation 4.5: r dCTGt d[CTG0 (1 x)] dx CTG0 dt dt dt [4.5] If we assume reaction order α=1 and combine Equation 4.3 and 4.5, we get Equation 4.6 to calculate k'obs : 1 ln k 'obs t 1 x [4.6] 1 As shown in Equation 4.6, k'obs is the slope of the graph ln as a function of 1 x reaction time t. We have observed that the reaction conversion profiles at lower temperatures (i.e., 25oC and 35oC) appear to have two distinct conversion regions before the reaction reaches the equilibrium: a slow conversion region and rapid conversion region. At a low conversion region, the reaction kinetics is controlled by mass transfer between the reactants. The duration time and the conversion rate in the slow conversion region varied with temperature and catalyst concentration as shown in Table 4.3. At a lower temperature (i.e., 25°C and 35°C), the k'obs is calculated by using the experimental data from the second rapid conversion region since the reaction kinetics is controlled by the chemical reaction in this region. 100 Table 4.3: Duration time and conversion rate for slow reaction region (200 rpm) Conversion rate (%) NaOH (wt.%) T=25°C T=35°C 30 min 60 min 30 min 60 min 0.2 1.26 1.92 2.72 4.05 0.6 8.13 19.65 13.96 1.0 11.03 16.68 101 1 By fitting ln vs. reaction time, t, at different temperatures, a good liner 1 x relationship between plots was satisfied and supports the hypothesis that the reaction could be considered as first order (Figure 4.15). Table 4.4 gives the observed reaction rate constants with respect to different temperatures and different catalyst concentrations. The rate equation is expressed as follows: r dCTG k 'obs CTGt dt [4.7] 4.2.5 Demonstration of Reactor Design Currently, the most common reactors used in biodiesel production in industry are batch reactors and continuous reactors. In batch reactors, the oil is first charged to the reactor, followed by the catalyst and methanol in the determined amount. The reactor is then closed and controlled to operate under the desired reaction conditions. After reaction is complete, the reacted mixture is removed from the reactor and sent for purification processing. Batch reactors are better suited to smaller plants that do not need 24/7 operation. The batch reaction process is showed in Figure 4.16. Continuous stirred tank reactors (CSTRs) and plug flow reactors (PFRs) are two types of continuous reactors applied in biodiesel production in industry, and they are more efficient than batch reactors when large quantities of feedstocks are to be processed. In CSTRs the reactants with a steady flow are continuously fed into the reactors and the products are continuously withdrawn. Adequate mixing is required to ensure that the concentration of any chemical involved should be approximately constant anywhere in the reactor at all times. For PFRs, the reactants are fed into one side of the reactor and travel in the axial direction of the reactor. Figure 4.17 is an example of biodiesel production using a PFR process. 102 2.50 ln1/(1-x) 2.00 Reaction Temperature 1.50 25℃ 35℃ 1.00 50℃ 0.50 65℃ 0.00 0 50 100 150 200 250 300 Reaction Time (min) (a) 2.50 ln1/(1-x) 2.00 1.50 Reaction Temperature 25℃ 1.00 35℃ 50℃ 0.50 65℃ 0.00 0 50 100 Reaction Time (min) 150 (b) 2.5 2 ln1/(1-x) Reaction Temperature 1.5 25℃ 35℃ 1 50℃ 0.5 65℃ 0 0 10 20 30 40 Reaction time (min) 50 60 (c) 1 Figure 4.15: Plots of ln vs. reaction time, t, (a) NaOH concentration =0.2 wt.% 1 x (b) NaOH concentration =0.6 wt.% (c) NaOH concentration =1 wt.% 103 Table 4.4: Observed reaction rate constant for alkali-catalyzed transesterification (200 rpm) k'obs (min-1) Temperature NaOH NaOH NaOH (°C) 0.2 wt.% R2 0.6 wt.% R2 1 wt.% R2 25 0.0050 0.9982 0.0373 0.9409 0.0761 0.9913 35 0.0101 0.9688 0.0496 0.9978 0.0704 0.9008 50 0.0262 0.9743 0.0780 0.9718 0.3891 0.9839 65 0.0631 0.9989 0.1842 0.9777 0.4454 0.9998 (Note: k'obs for 25°C and 35°C are for the second, fast conversion region; the information for the first, slow conversion region is given in Table 4.3) 104 Water Water Alcohol Biodiesel Ester Dryer TG Alcohol Alcohol Catalyst Water Wash Water Batch Reactor Crude Glycerol Figure 4.16: Batch reaction process (Source:Van Gerpen, Shanks et al. 2004) 105 Alcohol Alcohol Ester Alcohol TG Heater Alcohol PFR1 TG PFR 2 Separator Catalyst Ester Glycerol Glycerol Figure 4.17: Plug flow reaction process (Source:Van Gerpen, Shanks et al. 2004) 106 For a given duty, once the reactor has been selected, the proper volume of the reactor is one of the main parameters for reactor design, and the starting point for reactor design is based on the material balance equation, as showed in Equation 4.8: rate of reactant rate of reactant rate of reactant loss due to rate of accumulation flowintoelement flow out of element chemcialreaction of reactantin element of volume of volume withinthe element of volume of volume [4.8] Since the reaction kinetics for biodiesel reaction at lower temperatures (i.e., 25°C and 35°C) are different from the reaction kinetics for biodiesel production at higher temperatures (i.e., 50°C and 65°C), in the following sections, we discuss the volume of the selected reactor for high-temperature design and low-temperature design separately. For a batch reactor, since the composition is uniform throughout at any instant of time, the material balance accounts for the whole reactor. Figure 4.18 shows simple schematic of a batch reactor. There are no reactants entering or products leaving the reaction mixture during the reaction so the input of reactant and output of product are equal to zero, and evaluating the terms of Equation 4.8, we get: rate of reactant loss due to rate of accumulation 0 0 chemcialreaction of reactantin element within theelement of volume of volume 0 0 rAV dnA dt Here: dnA nA0 dxA dt dt 107 [4.9] [4.10] [4.11] FA CA0 V0 CA rA xA Figure 4.18: Schematic of a batch reactor 108 where t is the reaction time, rA is the reaction rate of material A, V is the volume of reaction mixture, nA is the mole of A at time t, and nA0 is the mole of A at reaction time zero. Rearranging and integrating then gives: [4.12] where xA is the conversion rate of A at time t. It is assumed that the density of the reaction mixture during the reaction remains constant during the reaction and thereby obtain: [4.13] where CA0 is the initial concentration of A, CA is the concentration of A at reaction time t, and xA is the conversion rate of A at time t. For transesterification reactions at higher temperatures (i.e., 50°C and 65°C), the reaction time can be determined using Equation 4.13. However, for reactions at lower temperatures, the reaction time for transesterification is the reaction time for the slow reaction region, ts, and the reaction time for fast reaction region, tf. t ts t f [4.14] Since the rate equation at the slow reaction regime is complicated and difficult to determine, we can use empirical data from experiments to determine the required reaction time, ts and the conversion rate, xs, as summarized in Table 4.5. The reaction time for the fast region is determined using following Equation 4.15, and the conversion rate is xs instead of x0: [4.15] 109 Table 4.5: Experimental data for slow reaction region (200 rpm) T=25°C NaOH T=35°C ts xs ts xs min % min % 0.2 60 1.92 60 4.05 0.6 60 19.65 30 13.96 1 30 11.03 30 16.68 (wt.%) Cs= CA0(1-xs) 110 where Cs is the initial concentration of A in the fast reaction region, CA is the concentration of A at reaction time t, and xs is the initial conversion rate of A in the fast reaction region. The rate equation obeys Equation 4.7. The volume of the batch reactor can be calculated using Equation 4.16: VR FA0t CA0 [4.16] where FA0 is the processing flow of A per unit time and VR is the reactor volume. In a plug flow reactor, the composition of the reaction mixture changes from place to place, and the material balance for component A must be considered for a different element of volume dV, as shown in Figure 4.19. The material balance for A becomes: rate of reactant rate of reactant rate of reactant loss due to 0 flow into element flow out of element chemcial reaction of volume of volume withinthe element of volume where [4.17] FA (FA dFA ) (rA )dVR [4.18] dFA d FA0 (1 - xA ) FA0dxA [4.19] After rearranging, we obtain: FA0dxA (rA )dVR VR FA0 Thus: x Af 0 dxA rA [4.20] [4.21] When biodiesel production is conducted using a plug flow reactor process at higher temperatures, the reactor size for a given flow rate of FA0 and required conversion of xAf is 111 dV CA0 FA0 CA0 xA0=0 FA FA+dFA xA xA+dxA Figure 4.19: Schematic of a plug flow reactor 112 CAf FAf xAf determined by Equation 4.21. At lower temperatures, the size of the reactor required for the slow reaction region and the size for the high reaction region must each be determined and, then, added together to get the total size of the reactor required, as described by Equation 4.22. Since the reaction progress is extremely slow in the slow reaction region, the concentration and conversion of A are the same at any position of the plug flow reactor and in CSTR. Then, the volume is determined by Equation 4.23, and for fast reaction region, the volume is calculated using Equation 4.24. VR Vs Vf Vs where [4.22] FA0t C A0 [4.23] V f FA0 (1 xs ) x Af xs dxA rA [4.24] In CSTRs, the concentration of any chemical and reaction rate are constant anywhere in the reactor at all times, as shown in Figure 4.20. The material balance is as shown in Equations 4.25 and 4.26 rate of reactant rate of reactant rate of reactant loss due to flow into element flow out of element chemcialreaction 0 of volume of volume withinthe element of volume [4.25] FA0 FA0(1 - xAf ) (rAf )dV [4.26] where rAf is the reaction rate at exit of the reactor 113 FA0 CA0 V0 FA CA rAf xAf CA rAf xAf Figure 4.20: Schematic of a continuous stirred tank reactor 114 After rearranging Equation 4.26, the volume of the reactor for CSTRs can be determined by using Equation 4.27. VR FA0 xAf (rA ) f [4.27] Equation 4.27 is used for determining the volume of the CSTRs for biodiesel production at higher temperatures, and the volume of the CSTRs for biodiesel reaction at lower temperatures is determined with Equation 4.28 where the volumes for the slow reaction region and fast reaction region are determined with Equation 4.23 and Equation 4.29, respectively. VR Vs Vf where Vf FA0 (1 xs ) xAf (rA ) f 115 [4.28] [4.29] Table 4.6: Summary of reactor design at different temperatures (200 rmp) Reactor Volume at Different Temperatures Reactor Type 25°C and 35°C VR Batch Reactor PFR CSTR VR 50°C and 65°C FA0ts CA0 VR FA0 (ts t f ) CA0 x Af dx FA0t A FA0 (1 xs ) x s CA0 rA VR FA0 FA0t FA0 (1 xs ) xAf CA0 (rA ) f VR VR Note: 1) For values of ts, xs, and Cs, refer to Table 4.5, 2) 0 dxA rA FA0 xAf (rA ) f rA k'obs CA0 (1 x) , (rA ) f k'obs CA0 (1 x f ) , 3) k'obs values refer to Table 4.4. 116 x Af Chapter 5 Conclusions and Recommendations 5.1 Conclusions This thesis studied biodiesel production by using simulated low quality feedstocks (i.e., mixtures of the canola oil and oleic acid/linoleic acid). Since the high content of FFA in the low quality feedstock will greatly reduce the biodiesel production rate in an alkali-catalyzed transesterification process, esterification was used to effectively decrease the FFA content prior to the alkali-catalyzed transesterification. The previous studies on esterification were conducted in an heterogeneous reaction system, in which the hydrodynamic effect and the chemical reaction control the production efficiency and reaction rate. A new kinetic model of esterification was developed in an immiscible twophase reaction system, in which the hydrodynamic effect was completely eliminated under an appropriate agitation speed in the oil phase. Thus a real, kinetically controlled reaction system was achieved. Based on the new reaction system, a number of experiments were carried out to determine the reaction rate constant and activation energy. The parametric effects on the reaction rate were examined and discussed. In addition, study of the parametric effects on alkali-catalyzed transesterification was also successfully carried out through a series of experiments. This research covered three aspects of biodiesel production using a simulated low quality feedstock. The following are the conclusions drawn from this study: 1) A new kinetic reaction system was developed for esterification in an immiscible reaction system: 117 The mass transfer resistance was found to be negligible in the methanol phase. The mass transfer resistance of FFA in the oil phase had a great impact on the overall reaction rate and was negligible in the particular range of agitation speeds. Based on the above findings and the following conditions and assumptions, the esterfication reaction was only controlled over by the pure chemical reaction, and the hydrodynamic effect was completely removed, the reaction rate can be simply determined by the equation r k 'RX CFFAs: (1) The oil phase is gentle agitated to keep the interface undisturbed. (agitation speed controlled at 80 rpm in this study) (2) Assume that all reacted FFA are converted to biodiesel. (3) Assume the concentration of methanol remains constant during the esterification reaction because it is pure and in an excessive amount. 2) The rate constant and activation energy of esterification were determined and the parametric effects on the reaction rate were discussed: The reaction was found to proceed in the first order reaction as a function of the FFA content. An increase of temperature leads to an increased reaction rate constant in a proportional manner, resulting in an increase in reaction rate. 118 An increase of catalyst concentration caused the reaction rate to increase at temperatures of 50°C and 62°C. At a temperature of 35°C, the change of reaction rate with the catalyst concentration is negligible. An increase in the initial FFA content leads to an increased reaction rate until the reaction reaches equilibrium. The initial FFA content has no impact on the reaction rate constant. The esterification reactions of oleic acid and linoleic acid have very similar activation energies. The activation energies of esterification of oleic acid were 32.48, 31.96, and 39.14 kJ/mol at concentrations of H2SO4 1 wt.%, 2 wt %, and 3 wt.%, respectively. The activation energies of esterification of linoleic acid were 31.58 and 34.23 kJ/mol at concentrations of H2SO4 1 wt.% and 3 wt.%, respectively. 3) The parametric effects on the alkali-catalyzed transesterification reaction were studied: Raising the reaction temperature increased the biodiesel conversion rate. The increasing conversion rate with temperature is caused by an increase in the transesterification reaction rate and a reduction in viscosity of feedstock oil, which promotes ultimate mixing between oil and methanol phases. The maximum FAME content obtained ranged from 80 to 90 wt.% regardless of the catalyst concentration and temperature. 119 The reaction conversion rate increased as the concentration of catalyst increased. The presence of FFA caused the conversion rate to drop and made the separation process difficult because of the soap formation. 4) The observed reaction rate constants at different temperatures were determined and the reactor design for a given duty was summarized. Since the reaction kinetics are different at low temperatures (25°C and 35°C) and high temperatures (50°C and 65°C), the required reactor volume for a given duty must be determined based the temperature. 5.2 Recommendations for Future Work This work proposed a new reaction system for esterification of biodiesel production. The kinetic data obtained were intrinsic, and they can be used in industrial design for resizing or optimizing the reactor. The following are our recommendations for future work: 1) The reaction system is based on the condition that the interfacial surface area is fixed and equal to the area of undisturbed two-phase interface. Visual observation was used to make the judgment on the interface change. Future work may use other advanced technologies in order to precisely indentify the interface change and control it undisturbed. 2) Hydrodynamics is another important factor which affects the reaction rate of heterogeneous reaction of biodiesel. The study of hydrodynamic effect had been conducted in another research project separately. (Nath, D. 2012) 120 3) This study was conducted using a simulated low quality feedstock for studying the reaction kinetics. 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