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    DEVELOPMENT OF A FREE LIME MONITORINGSYSTEM FOR THE KRAFT RECOVERY PROCESS

    USING ZETA POTENTIAL

    by

    Wei Ren

     A thesis submitted in conformity with the requirementsfor the degree of Master of Applied Science

    Department of Chemical Engineering and Applied ChemistryUniversity of Toronto

    © Copyright by Wei Ren 2014

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    ii

    Development of a Free Lime Monitoring System for the Kraft

    Recovery Process Using Zeta Potential

    Wei Ren

    Master of Applied Science

    Department of Chemical Engineering and Applied Chemistry

    University of Toronto

    2014

    ABSTRACT

    The presence of Ca(OH)2 (or free lime) in lime mud can cause many problems in the recovery

     process of kraft pulp mills. Conventional free lime analyses require extensive laboratory work

    and give inconsistent results. A systematic study was performed to determine if zeta potential, a

    quickly measurable dispersion characteristic, can be used to indicate the presence of free lime in

    the recovery process. Measurements were made on synthetic wet lime mud to simulate samples

    collected after the white liquor clarifier in pulp mills. The results show that zeta potential

    increases from negative to positive when the free lime content in the lime mud exceeds a critical

    threshold. This change from negative to positive zeta potential of the lime mud slurry can be

    used as a basis for developing an on-line monitoring system that effectively detects free lime in

    the lime mud in order to avoid problems associated with overliming in the recovery process.

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    iii

    ACKNOWLEDGMENTS

    I wish to express my utmost gratitude to my thesis supervisor  Professor Honghi Tran  for his

    excellent advice and guidance throughout the course of this study. His enthusiasm, motivation

    and encouragement were of extreme importance for the completion of my research.

    I want to thank my committee members,  Professor Edgar Acosta,  Professor Donald Kirk   and

     Professor Will Cluett for their insightful comments and valuable pieces of advice.

    I also want to thank  Fariba Azgomi and Sue Mao for their valuable suggestions, and providing

    me with essential literatures relevant to my research. My gratitude goes to Anna Ho for her help

    with administrative activities. I am grateful to all my friends, especially  Eric, Liming, Anton,

     Michael, Masoumeh  and  Naz   for their support and friendship. I also want to extend my

    appreciation to Carolyn Winsborough for proofreading my thesis and other technical reports.

    I wish to acknowledge members of the research program on “ Increasing Energy and Chemical

     Recovery Efficiency in the Kraft Pulping Process” for their discussions and advice  during

    consortium meetings and their financial support. I would like to thank Domtar Espanola Mill  and

     DMI Peace River Mill  for giving me extensive information regarding kraft pulp mill operations

    and providing samples used in my research.

    I want to give my sincere gratitude to my parents  Jiyi Ren  and  Hong Liu  for their technical

    advices during my study, but more importantly for giving me their unconditional support and

    love my whole life.

    Last but not least, I want to thank my fiancée  Nan Ma for all she has done for me over the past

    ten years. Only with her inspiration, motivation, encouragement and love I am able to finish my

    research. I want to dedicate this thesis to her.

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    iv

    TABLE OF CONTENTS

    ACKNOWLEDGMENTS ........................................................................................................... iii 

    TABLE OF CONTENTS ............................................................................................................ iv 

    LIST OF TABLES ....................................................................................................................... vi 

    LIST OF FIGURES .................................................................................................................... vii 

    1  INTRODUCTION .................................................................................................................... 1 

    1.1  General Background ........................................................................................................... 1 

    1.2  Causticizing Reaction and Free Lime ................................................................................. 3 

    1.3  Zeta Potential Overview ..................................................................................................... 5 

    1.4  Objectives ........................................................................................................................... 6 

    2  LITERATURE REVIEW ........................................................................................................ 7 

    2.1  Current Methods of Free Lime Analysis ............................................................................ 7 

    2.2  Zeta Potential (ζ) ................................................................................................................. 8 

    2.2.1  Zeta Potential Theory .............................................................................................. 8 

    2.2.2  Previous Studies and Applications ........................................................................ 10 

    2.3  Sound Theories and Applications ..................................................................................... 13 

    2.4  Factors Affecting Free Lime Concentration ..................................................................... 14 

    2.4.1  Lime Properties ..................................................................................................... 14 

    2.4.2  Operating Conditions in Causticizing Plant .......................................................... 15 

    3  METHODOLOGY ................................................................................................................. 18 

    3.1  Material ............................................................................................................................. 18 

    3.2  Experimental Setup ........................................................................................................... 19 

    3.3  Experimental Procedures .................................................................................................. 21 

    3.3.1  Particle Size Determination .................................................................................. 21 

    3.3.2  Initial Experimental Procedure ............................................................................. 24 

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    3.3.3  Procedure Modification ........................................................................................ 25 

    3.3.4  Modified Experimental Procedure ........................................................................ 30 

    4  RESULTS AND DISCUSSION ............................................................................................ 32 

    4.1  Effect of Free Lime on Zeta Potential for Analytical Samples ......................................... 32 

    4.1.1  Analytical Grade Chemicals ................................................................................. 32 

    4.1.2  Analytical Grade Lime and Mill Green Liquor .................................................... 36 

    4.2  Effect of Free Lime on Zeta Potential for Mill Samples .................................................. 39 

    4.2.1  Effect of Lime Properties ...................................................................................... 43 

    4.2.2  Effect of Causticizing Reaction Time ................................................................... 45 

    4.2.3  Effect of Lime Mud Storage Time ........................................................................ 46 

    5  CONCLUSIONS .................................................................................................................... 50 

    6  IMPLICATIONS.................................................................................................................... 52 

    REFERENCES ............................................................................................................................ 54 

    APPENDICES ............................................................................................................................. 58 

    Appendix A Ammonium Chloride Test ................................................................................... 58 

    Appendix B Additional Sound Theories .................................................................................. 60 

    Appendix C ABC Titration (with Automatic Titrator) ............................................................ 61 

    Appendix D Thermogravimetric Analysis (TGA) / Differential Scanning Calorimetry

    (DSC) ................................................................................................................................ 62 

    Appendix E Zeta Potential Data for Wet and Dry Lime Mud ................................................. 63 

    Appendix F Zeta Potential Data for Stored Sample ................................................................. 64 

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    LIST OF TABLES

    Table 2-1. Correlation between Zeta Potential and Dispersion System ....................................... 10 

    Table 2-2. Properties of Quicklime .............................................................................................. 14 

    Table 2-3. Factors Affecting Free Lime Concentration ................................................................ 17 

    Table 3-1. Green Liquor Composition .......................................................................................... 19  

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    LIST OF FIGURES

    Figure 1-1. Typical Kraft Recovery Process .................................................................................. 2 

    Figure 1-2. Overall Causticizing Plant Process ............................................................................ 2 

    Figure 1-3. Goodwin’s Curve - Effect of TTA on Equilibrium CE at Different Sulphidity [4] ...... 4 

    Figure 1-4. Acoustic and Electroacoustic Spectrometer ................................................................ 5 

    Figure 2-1. Double Layer Model for Zeta Potential  ....................................................................... 9 

    Figure 2-2. Potential Charge as a Function of Distance from Particle Surface ......................... 10 

    Figure 2-3. Effect of Liming Ratio on Zeta Potential ................................................................... 11 

    Figure 2-4. Zeta Potential as a Function of Free Lime Content .................................................. 12 

    Figure 3-1. Zeta Potential Measurement Probe ........................................................................... 20 

    Figure 3-2. Particle Size Distribution for CaCO3 ......................................................................... 22 

    Figure 3-3. Particle Size Distribution for Ca(OH)2 (from Calcination of Lime Mud) ................. 22 

    Figure 3-4. Average Particle Sizes for Lime and Lime Mud Samples .......................................... 23 

    Figure 3-5. Average Zeta Potentials for Lime and Lime Mud Samples ........................................ 24 

    Figure 3-6. Effect of Liming Ratio on Zeta Potential at Different Causticizing Reaction

    Temperatures (Pure Chemicals, 1 Hour Reaction) ...................................................................... 25 

    Figure 3-7. Effect of Measurement Temperature on Zeta Potential (Pure Chemicals, 1 Hour

     Reaction, 90°C Reaction Temperature) ........................................................................................ 26  

    Figure 3-8. Effect of Liming Ratio on Zeta Potential when Measuring White Liquor Slurries

    Synthesized with Pure Chemicals and Mill Green Liquor Samples (1 Hour Reaction, 90°C

     Reaction Temperature) ................................................................................................................. 27 

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    Figure 3-9. Effect of Liming Ratio on Zeta Potential when Measuring White Liquor Slurries

     Diluted with Distilled Water at Different Concentrations (Pure Chemicals, 1 Hour Reaction,

    90°C Reaction Temperature) ........................................................................................................ 27 

    Figure 3-10. Effect of Liming Ratio on Zeta Potential when Measuring Lime Mud Diluted with

     Distilled Water at Different Concentrations (Pure Chemicals, 1 Hour Reaction, 90°C Reaction

    Temperature) ................................................................................................................................. 28  

    Figure 3-11. Effect of Liming Ratio on Zeta Potential when Measuring Lime Mud Diluted with

     Distilled Water at 1wt% (Mill Green Liquor, 1 Hour Reaction, 90°C Reaction Temperature) ... 28 

    Figure 3-12. Sample Compartments for Zeta Potential Measurement  ......................................... 29 

    Figure 3-13. Effect of Liming Ratio on Zeta Potential when Measuring 10mL of Lime Mud

     Diluted in Distilled Water (Pure Chemicals, 1 Hour Reaction, 90°C Reaction Temperature) .... 30 

    Figure 3-14. Experimental Procedure Flow Chart  ....................................................................... 31  

    Figure 4-1. Measurement Repeatability with 10mL Samples (Pure Chemicals, 1 Hour Reaction,

    90°C Reaction Temperature) ........................................................................................................ 33 

    Figure 4-2. Weight Loss Profile for Lime Mud (0.6 Liming Ratio and Pure Chemicals) ............. 34 

    Figure 4-3. Weight Loss Profile for Lime Mud (1.2 Liming Ratio and Pure Chemicals) ............. 35 

    Figure 4-4. Zeta Potential and Free Lime as a Function of Liming Ratios (Pure Chemicals, 1

     Hour Reaction, 90°C Reaction Temperature) .............................................................................. 35 

    Figure 4-5. Zeta Potential as a Function of Free Lime Content (Pure Chemicals, 1 Hour

     Reaction, 90°C Reaction Temperature) ........................................................................................ 36  

    Figure 4-6. Zeta Potential and Free Lime as a Function of Liming Ratios (Mill Green Liquor, 1

     Hour Reaction, 90°C Reaction Temperature) .............................................................................. 37 

    Figure 4-7. Zeta Potential as a Function of Free Lime Content (Mill Green Liquor, 1 Hour

     Reaction, 90°C Reaction Temperature) ........................................................................................ 37  

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    Figure 4-8. Effect of Liming Ratio on Zeta Potential –  Dry and Wet Samples (Pure Lime, 1 Hour

     Reaction, 90°C Reaction Temperature) ........................................................................................ 38  

    Figure 4-9. Effect of Liming Ratio on Zeta Potential using Pure Lime and Reburned Lime (1

     Hour Reaction, 90°C Reaction Temperature) .............................................................................. 40 

    Figure 4-10. Effect of Liming Ratio on Zeta Potential –  Dry and Wet Samples (Reburned Lime, 1

     Hour Reaction, 90°C Reaction Temperature) .............................................................................. 42 

    Figure 4-11. Lime Reactivity Test Setup ....................................................................................... 43 

    Figure 4-12. Wet Slaking Curve for Powdered and Pelleted Reburned Lime .............................. 44 

    Figure 4-13. Effect of Liming Ratio on Zeta Potential –  Powdered and Pelleted Reburned Lime

    (1 Hour Reaction, 90°C Reaction Temperature) .......................................................................... 45 

    Figure 4-14. Effect of Reaction Time on Zeta Potential (Mill Green Liquor, 90°C Reaction

    Temperature) ................................................................................................................................. 46  

    Figure 4-15. Effect of Storage Time on Zeta Potential (Mill Green Liquor, 1 Hour Reaction,

    90°C Reaction Temperature) ........................................................................................................ 46 

    Figure 4-16. Effect of Extended Storage Time on Zeta Potential (Mill Green Liquor, 1 Hour

     Reaction, 90°C Reaction Temperature) ........................................................................................ 48  

    Figure 4-17. Effect of Reaction Time on Zeta Potential –  1 Month Storage (Mill Green Liquor,

    90°C Reaction Temperature) ........................................................................................................ 49 

    Figure 6-1. Potential Online Free Lime Monitoring System ........................................................ 53 

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    1 INTRODUCTION

    1.1 General Background

    The kraft process is the dominant pulping process, netting approximately 130 million tons/year

    of pulp globally and accounting for over 90% of the world’s chemical pulp production [1]. The

    main advantages of kraft pulping are its ability to handle almost all softwood and hardwood

    species, the high strength and quality of kraft pulp and its high chemical efficiency (about 97%).

    In this process, wood chips (which consist of fibre and lignin) are treated in a digester at an

    elevated temperature and pressure in an aqueous solution consisting mainly of sodium hydroxide

    (NaOH) and sodium sulphide (Na2S), known as “white liquor ”. The fibre in the wood chips is

    separated and washed to make the pulp. The residue, weak black liquor (including lignin, spent

    chemicals and water), is sent to the kraft recovery system where the organic chemicals are used

    as fuels to provide steam and power for the pulp mill while the inorganic chemicals are recycled

     back into the pulping process.

    A schematic of the kraft recovery process is shown in Figure 1-1. Weak black liquor is

    concentrated through a series of evaporators to increase its solids content. The resulting heavy

    (concentrated) black liquor is burned in the recovery boiler to produce steam and power. The

    inorganic portion of the black liquor forms molten smelt, consisting mainly of sodium carbonate

    (Na2CO3) and Na2S. The smelt is dissolved in water in the dissolving tank to produce green

    liquor, which is subsequently causticized in the causticizing plant with calcium hydroxide

    (Ca(OH)2) to produce NaOH according to the slaking and causticizing reaction.

    Slaking: CaO + H2O  Ca(OH)2  (1)

    Causticizing: Na2CO3 + Ca(OH)2  2NaOH + CaCO3  (2)

    The resulting slurry which consist of NaOH, Na2S, unreacted Na2CO3, unreacted Ca(OH)2 and

    lime mud (CaCO3) is sent through a clarifier to filter out the precipitates (lime mud). The

    recovered white liquor consisting mainly of NaOH and Na2S is recycled back to the digester to

     be reused in the pulping process while the washed water (weak wash) is recycled to the

    dissolving tank for dissolving smelt.

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    Figure 1-1. Typical Kraft Recovery Process [1] 

    The lime mud slurry is dewatered and fed into a lime kiln where it is calcined to produce

    reburned lime, which is reused in the slaker. The calcination reaction is endothermic and occurs

    at temperatures over 800C. The conventional causticizing process from the dissolving tank to

    the lime kiln can be seen in Figure 1-2.

    Figure 1-2. Overall Causticizing Plant Process [2]

    Slaker and causticizer operations are instrumental for maintaining high process efficiency and

    minimizing problems in the causticizing plant. Hence it is important to understand how the

    causticizing reaction proceeds and the problems associated with free lime.

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    1.2 Causticizing Reaction and Free Lime

    In this study, free lime is defined as unreacted calcium hydroxide (Ca(OH)2) in the lime mud. In

    addition, the causticizing efficiency (CE) is defined as the percentage of NaOH concentration in

    the white liquor [3] ([NaOH] and [Na2CO3] are concentrations expressed in g/L Na2O):

    Causticizing Efficiency (%) = 

     × 100 (3)

    The causticizing reaction has a slow reaction rate and does not go to completion but reaches

    equilibrium. The slaker and several causticizers are used in series to maximize the retention time

    and reaction efficiency. Theoretically, the equilibrium or maximum attainable CE is the same as

    the maximum CaO/Na2CO3 ratio (liming ratio). When targeting an equilibrium CE of 80%, for

    example, the amount of lime added into the slaker should be adjusted so that the liming ratio is

    equal to 0.80. Exceeding this ratio would cause the system to contain free lime; and the system is

    said to be “overlimed”. Similarly, when an insufficient amount of lime is added into the slaker,

    causing the liming ratio to be much lower than 0.80, the system is said to be “underlimed”. 

    The theoretical CE is dependent on the total titratable alkali (TTA) and the sulphidity of the

    white liquor as defined in Equation 4 and Equation 5, respectively.

    Total Titratable Alkali = [NaOH] + [Na2S] + [Na2CO3] (4)

    Sulphidity = 

     × 100 (5)

    The Na2S concentration ([Na2S]) is expressed in g/L Na2O. The relationship between CE, TTA

    and sulphidity is represented in the Goodwin curve, which is used to describe the highest

    achievable CE at a given condition (Figure 1-3). In the causticizing plant, a CE closely equal to

    the theoretical value is desired as underlimed systems containing unreacted Na2CO3 or dead load

    in recovered white liquor reduces equipment efficiencies in downstream processes. Furthermore,

    additional make-up white liquor is required at the digester as NaOH yield decreases. On the other

    hand, at any given TTA, there will be an upper CE limit to avoid overlimed systems. Overliming

    can also cause problems including poor mud settling rate, low mud solids content, high soda

    content, poor kiln thermal performance, high TRS emissions and ring formations [5].

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    Figure 1-3. Goodwin’s Curve - Effect of TTA on Equilibrium CE at Different Sulphidity [4] 

    Therefore, the ability to maintain an optimum CE is crucial to operations in the causticizing

     plant. Conventionally, the amount of lime fed into the slaker is adjusted to achieve the targeted

    CE at a certain causticizing stage, such as at one of the causticizers. This means CE is used as the

    indicator for detecting overlimed systems. Even though the targeted CE at mills is usually lower

    than the equilibrium CE under normal operating conditions to avoid overliming, if the lime

    reactivity is low or the residence time for the causticizing reaction is too short, free lime may

    exist in the white liquor and subsequently in the lime mud.

    Lime addition at the slaker is based on CE, which is calculated based on TTA and sulphidity of

    the liquor sample collected at sampling ports in the causticizing plant (e.g. one of the

    causticizers) [6]. The conventional method used to measure liquor composition is based on

    titration, commonly referred to as the ABC test. It is a standard method with TAPPI (Technical

    Association of the Pulp and Paper Industry) [7] which provides accurate results but involveslengthy analytical procedures. However, the ABC test gives inconsistent measurements when the

    test is performed by different operators. On the other hand, free lime is not measured regularly,

    unless problems associated with overliming occur frequently.

    Contrary to the conventional titration method, this study focuses on developing an online

    monitoring tool for the kraft recovery process that gives fast indication on the presence of free

    White Liquor TTA (g/L)

    stiizi

    ffii

    (

    )

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    lime, which can be used to adjust the liming ratio at the slaker. Based on a recent study, zeta

     potential () –  a variable that is used to characterize stability of dispersion systems –  is found to

     be suitable for this purpose. Possible correlation was found to exist between zeta potential and

    free lime based on Azgomi’s research  [8]. A systematic study is carried out to verify the

    relationship between zeta potential and free lime using an acoustic and electroacoustic

    spectrometer (Figure 1-4).

    Figure 1-4. Acoustic and Electroacoustic Spectrometer [9]

    1.3 Zeta Potential Overview

    Zeta potential is a characterization of colloidal surface charge in solutions. The electrostatic

    interaction forces between particles vary depending on the dispersion composition. The stability

    of the colloidal system can be determined based on the magnitude of zeta potential. Particles

    with higher absolute values of zeta potential will repel each other (stable system) while particles

    with lower absolute values will cause agglomerations (unstable system) [10]. The settling rate of

    lime mud particles in white liquor can be affected by free lime content, where an increase in free

    lime content causes a decrease in settling rate [8]. Slow settling indicates a stable system and

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    should theoretically have a higher zeta potential value. Hence, a positive correlation should exist

     between zeta potential and free lime content when other conditions are unchanged.

    The acoustic and electroacoustic spectrometer based on sound theory has not been used

     previously for measurements of zeta potential of liquor slurries as an indication of free lime in

    the kraft recovery process. However, due to its capability to measure dispersion systems at

    higher concentration, volume and temperature compared to the conventional light scattering

    techniques, it presents more opportunities to be incorporated as an online monitoring system in

    the causticizing plant.

    1.4 Objectives

    The objective of this work is to establish a well-defined relationship between free lime and zeta

     potential. This study will serve as a foundation for the implementation of an online monitoring

    system in the kraft recovery process. The work consists of the following stages:

      Validating previous findings of correlation between zeta potential and liming ratio;

      Comparing zeta potential measurements of liquor samples produced using analytical

    chemicals and using samples collected at pulp mills;

      Analyzing the effects of different parameters (e.g. reaction time) on zeta potential.

    This thesis contains six chapters. Chapter 1 gave a summary of the motivations and objectives

    for this study. Chapter 2 is a literature review introducing current methods of free lime analysis

    and their shortcomings; the advantages of using zeta potential to measure free lime; the validity

    and application of acoustic and electroacoustic principles when making these measurements; and

    the effect of lime properties and causticizing plant operating conditions on the presence of free

    lime. Chapter 3 discusses the methodology used in this study including materials and instruments

    as well as establishing a procedure for efficient measurements using the spectrometer. Chapter 4

     presents and discusses the results. Finally, Chapter 5 and Chapter 6 summarize the key findings

    and indicate the implications of this study.

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    2 LITERATURE REVIEW

    2.1 Current Methods of Free Lime Analysis

    The free lime content in lime mud is often only analyzed when overliming problems occur in the

    causticizing plant. There are no standard free lime testing method currently adapted by TAPPI

    and PAPTAC (Pulp and Paper Technical Association of Canada). Two conventional free lime

    measurement methods used in kraft pulp mills are the ammonium chloride (NH4Cl) method and

    the muffle furnace method.

    The exact procedure of the ammonium chloride method can be found in Appendix A. Even

    though the procedure varies from mill to mill, the fundamental concept remains the same. The

    origin of this analytical method was found to be based on ASTM Standard C-25 [11] and ASTM

    Standard C-114 [12], which are standard methods used in the limestone and cement industries.

    However, the transition to the pulp and paper industry remains unclear. The principle of the

     NH4Cl analysis is to dissolve white liquor in a weak acid solution, where the free lime (Ca(OH)2)

    will form soluble calcium chloride (CaCl2). CaCl2 is used in a series of reactions until titration is

     performed at the end with potassium permanganate (KMnO4).

    Previous studies have indicated that the NH4Cl analysis might not be able to reliably measure the

    free lime content [7] since the reaction time between Ca(OH)2 and NH4Cl took much longer toreach completion than the suggested reaction time in the procedures (30 minutes). In addition,

    the residual sodium carbonate (Na2CO3) in the sample could neutralize the weak acid solution

    required to produce CaCl2 which disrupts the overall reaction.

    Another method for free lime determination is based on sample weight loss due to chemical

    decomposition at different temperatures, commonly used in thermogravimetric analysis (TGA).

    Since Ca(OH)2  decomposes at 380°C, a muffle furnace is used to heat up the sample and the

    weight is recorded at 300°C and 500°C [13]. The difference in weight between these two

    temperatures is used to determine the amount of free lime in the sample.

    A problem with using this method is that other chemicals with decomposition temperatures in the

    range between 300°C and 500°C would contribute to the total amount of free lime. For example,

    magnesium hydroxide (Mg(OH)2) decomposes at approximately 350°C. Thus, the amount of free

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    lime calculated using the muffle furnace analysis would often be higher than the actual amount,

    as the total weight loss is also caused by the decomposition of Mg(OH)2.

    Measuring the free lime content using either the NH4Cl method or the thermal decomposition

    method has some disadvantages that make them unsuitable for integration into an online

    monitoring system. The most important disadvantage is that the required laboratory work is

    extensive (e.g. long reaction or heating time). There is a need for a new method that can be used

    to accurately and reliably determine the free lime content. Zeta potential is a characteristic of

    slurry systems that is affected by the free lime content and can be measured efficiently.

    2.2 Zeta Potential (ζ) 

    Many theories were developed to explain interactions in aqueous systems between particles and

    the surrounding solution. Zeta potential is mainly based on the magnitude of electrical potential

    difference that exists between a particle’s surface and the continuous medium. The potential is

    affected by chemical composition and concentration in the dispersion, such as the amount of free

    lime content. Previous studies were able to identify how some chemicals (e.g. Na 2CO3) that exist

    in the slurry systems will affect the zeta potential.

    2.2.1 Zeta Potential Theory

    Zeta potential is a measurement of the colloidal surface charge or the electrochemical

    equilibrium on particle interfaces in an aqueous solution. It depends on the properties of the

     particle surface and the solution. The electrostatic interaction forces among particles have an

    important impact on the properties of the solution. The stability of the colloidal system can be

    determined based on the magnitude of zeta potential. In general, dispersion systems with higher

    absolute zeta potential values will cause particles to repel one another while systems with lower

    absolute zeta potential values will lead to particle agglomeration resulting in faster settling [10].

    Zeta potential is part of the DLVO theory, named after Derjaguin, Landau, Verwey andOverbeek [14, 15]. It is used to quantitatively explain the collection of fine dispersions in an

    aqueous solution and the interactions between charged particles in a liquid medium. DLVO

    theory is based on both the effect of van der Waals and double layer forces [16]. Van der Waals

    force is the sum of attractive and repulsive forces between molecules excluding covalent bonds,

    hydrogen bonds and electrostatic interactions. The double layer force is based on electrostatic

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    charges accumulated at the surface of the particle when it is in a dispersed phase [17]. Zeta

     potential is used to characterize the double layer force.

    Zeta potential can be explained using the distribution of electrical charge in the double layer as

    shown in Figure 2-1. Charges build up at the surface of the colloid, forming an electrostatic field

    that affects other ions in the solution. Two forces are experienced by the negatively charged

    colloid: the attraction forces from the oppositely charged ions (counter-ions) and the repulsion

    forces from the same charged ions (co-ions) in the solution [17].

    Figure 2-1. Double Layer Model for Zeta Potential  

    When counter-ions are absorbed to the surface of the colloid, an inner layer is formed called the

    “Stern layer”. The counter -ions on the outer surface are also attracted to the colloid but encounter

    the repulsive force from the Stern layer. This dynamic equilibrium results in the formation of the

    “diffuse layer”. The slipping plane is the imaginary boundary that sets apart the stationary layer

    of fluid attached to the colloid and the free flowing dispersion medium [10].

    The potential difference between the particle surface and the continuous phase is a function of

    the distance from the particle surface (Figure 2-2). The absolute value of the potential charge

    decreases linearly within the Stern layer and then exponentially within the diffuse layer, where it

    +

    +

    ++

    +

    +

    +

    +

    +

    +

    -

    -

    --

    -

    -

    -

    -

    -

    Colloid Surface

    Slipping Plane+   ++

    +

    +

    +

    +++

    +

    +

    +

    +

    +

    +

    -

    +

    +

    +

    +

    ++

    +

    +

    + +

    +

    +

    +

    -

    -

    -

    -

    -

    -

    -

    +

    -

    +

    -

    +

    -

    +

    -

    Stern Layer

    Diffuse Layer

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    approaches zero at the imaginary boundary of the double layer. Theoretically, zeta potential is

    the potential difference at the slipping or shear plane.

    Figure 2-2. Potential Charge as a Function of Distance from Particle Surface [18] 

    The type of ions in the double layer structure has a strong correlation to the sign and magnitude

    of zeta potential. Table 2-1 summarizes the correlation between typical values of zeta potential

    and the dispersion system [19].

    Table 2-1. Correlation between Zeta Potential and Dispersion System 

    Zeta Potential (mV) Dispersion System

    0 to ±10 Unstable, rapid agglomeration and fastest settling rates

    from ±10 to 50 Moderate stability, decreased agglomeration and slower settling rates

    greater than 50 Excellent stability, minimum agglomeration and slowest settling rates

    Azgomi’s research indicated a decrease in settling rate of precipitated lime mud and an increase

    in zeta potential when liming ratio exceeds a critical level [8].

    2.2.2 Previous Studies and Applications

    Since lime mud and white liquor slurries contain mainly CaCO3, Ca(OH)2, Na2CO3, NaOH and

     Na2S, a literature review was conducted to summarize previous findings of correlation between

    zeta potential and these chemicals. It was found that the results varied greatly between different

    research groups. The main discrepancy was on the potential-determining ions (PDI) or chemicals

    that had the most effect on the zeta potential of the system. Some research groups suggested that

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    in pure aqueous suspensions, Ca2+

      and CO32-

      were acting as the PDI [20, 21]. Other group

    suggested that OH-, HCO3

    - and H

    + were acting as the PDI [22, 23]. Aside from these chemicals,

    other impurities that might exist in the slurry system could also change the surface charge based

    on the intensity of their concentration [24].

    In Azgomi’s study, zeta potential values were measured using a micro-electrophoretic apparatus

     based on laser light-scattering theories [8]. White liquor was prepared using both pure lime and

    reburned limes from various pulp mills and pure Na2CO3  as a substitute for green liquor.

    Measurements were made on 0.1g of lime mud (separated from the white liquor) dissolved in

    500mL of distilled water. At liming ratios below 1.0, zeta potentials were relatively constant and

    negative between -15mV to -10mV. However, when liming ratios exceeded 1.0, zeta potentials

     became positive and reached a value above 20mV (Figure 2-3). In addition, free lime (Ca(OH)2)

    concentration was found to be a function of liming ratio using the thermal decomposition

    method. More specifically, free lime content increased as liming ratios increased. When zeta

     potential was plotted against the free lime content, a linear relationship could be observed, as

    shown in Figure 2-4. Another study also demonstrated that increasing Ca2+

      ions in suspension

    increased the zeta potential values until Ca2+

     ions saturated the particle surface [25].

    Figure 2-3. Effect of Liming Ratio on Zeta Potential [8]

    -20

    0

    20

    40

    60

    0.0 0.2 0.4 0.6 0.8 1.0 1.2 1.4

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

    Lime A Lime B

    Lime C Lime DPure Lime

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    Figure 2-4. Zeta Potential as a Function of Free Lime Content [8] 

    As discussed in the previous section, due to the disadvantages associated with current methods

    for measuring free lime content, the possibility for their implementation as an online monitoring

    system in the causticizing plant is limited. Based on Azgomi’s research, measuring the zeta

     potential of dispersion systems and correlating the results to the amount of free lime in the

    system were much faster than the traditional laboratory approach. The results were also

    consistent within the scope of her study. This provides great motivation for further investigation

    into the relationship between free lime and zeta potential, as well as the exploration of more

    efficient control strategies in the causticizing plant. There are several aspects of Azgomi’s work

    that require additional research and understanding:

    -  White liquor used for zeta potential measurement should be synthesized with green liquor

    samples obtained from kraft pulp mills instead of Na2CO3 solution; and

    -  Zeta potential measurement should be made on more concentrated lime mud solutions to

    simulate normal conditions in causticizing plants.

    In order to measure zeta potential of slurry samples at higher concentrations and with higher

    degrees of inconsistency in chemical composition due to the presence of impurities in actual

    green liquor, a spectrometer based on sound theories is used which differs from the laser

    diffraction instrument used in Azgomi’s study that imposed the above restrictions.

    -20

    0

    20

    40

    60

    0 5 10 15 20 25

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Free Lime (%)

    Lime A Lime B

    Lime C Lime D

    Pure Lime

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    2.3 Sound Theories and Applications

    The spectrometer for particle size and zeta potential measurement used in this study relies on the

    concept of acoustic and electroacoustic theories, respectively. A basic understanding of these

    theories will give insights into the reasoning and advantages behind the use of sound technology

    for zeta potential measurements as oppose to the more conventional light scattering instruments.

    A more detailed explanation of these theories can be found in Appendix B.

    The acoustic theory for dispersion systems is based on a combined relationship between different

    acoustic properties (attenuation, sound speed and angle of sound scattering) and system

     properties (composition, particle size distribution and surface charge) [26].

    The main acoustic interaction within a colloidal system can be divided into two groups:

    attenuation caused by either absorption (conversion of acoustic energy into thermal energy) or

    scattering (re-direction of acoustic energy). The absorption of ultrasound for dispersion systems

    can be calculated based on density using acoustic measurement systems [26]. On the other hand,

    scattering of ultrasound is harder to measure due to its nonlinear effects. Measuring both

    absorption and scattering mechanisms are difficult for actual dispersion systems due to the

    necessity of an extended set of input parameters, which are often unavailable. For the

    spectrometer used in this study, only the absorption effect –  intensity of the incident sound beam

    after transmission –  is measured, which is not affected by the non-linear scattering effects [27].

    In addition to acoustic theories, electroacoustic mechanisms are utilized by this spectrometer in

    making zeta potential measurements. Interactions between sound beams and electric fields in

    colloidal systems result in electroacoustic effects. In the presence of sound waves, anions and

    cations with different mass or friction coefficients will generate an alternating electric potential

    within the solution [28]. It is often referred to as “Ion Vibration Potential” (IVP ) and

    measurement techniques based on electroacoustic theories are developed for porous bodies [29],

    colloidal systems [30, 31] and colloid vibration potential [32, 33].

    Since zeta potential cannot be directly measured, it is calculated from other experimentally

    measurable characteristics of the system such as the IVP. The fundamental capability for all zeta

     potential analyzers is that they require a means of moving liquid relative to the particle surface

    that causes disturbance within the double layer; and a means of monitoring and recording the

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    generated signals. Motion induction could be accomplished by an external electric field or a

    mechanical pressure field while monitoring could be accomplished by using electrical,

    mechanical or optical technologies. The spectrometer used in this study accomplishes both

    motion induction and signal monitoring through electrical means.

    In addition to understanding why a spectrometer based on sound theories is suitable for zeta

     potential measurements of concentrated slurry samples, it is also important to acknowledge the

    factors that affect the amount of free lime in the slurry. The correlation between zeta potential

    and free lime can then be used to monitor and/or control these factors to minimize free lime

     problems in the causticizing plant.

    2.4 Factors Affecting Free Lime Concentration

    Zeta potential is affected by the type of ions and their concentration in the dispersion. Many

    factors can affect the free lime concentration during the chemical recovery process including

     properties of lime used during the causticizing reaction and the operating conditions in the

    causticizing plant.

    2.4.1 Lime Properties

    In the lime industry, calcium oxide (CaO) is referred to as quicklime, while calcium hydroxide

    (Ca(OH)2) is referred to as hydrated lime or slaked lime. Lime with high magnesium content is

    termed dolomitic lime.

    Pure quicklime is produced by calcination of natural limestone (CaCO3) which is similar to

    calcining lime mud to produce reburned lime in the causticizing plant. During the calcination

     process, carbon dioxide is released from CaCO3  producing CaO with a porous structure. This

    allows water to penetrate the CaO particles during the slaking reaction. The properties of the

    main calcium-containing compounds in the kraft recovery process are shown in Table 2-2.Table 2-2. Properties of Quicklime [34] 

    Calcium OxideCalcium

    Hydroxide

    Calcium

    Carbonate

    Molecular Weight (g/mol) 56.1 74.1 100

    Specific Gravity 3.2 –  3.4 2.3 –  2.4 2.3 –  2.7

    Bulk Density (g/cm ) 0.88 –  0.96 0.40 –  0.56 0.96 –  1.1

    Specific Energy (kJ/kg) 0.44 0.67 0.92

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    Olsen and Direnga [35] reported that the properties of lime (CaO) and lime mud (CaCO 3)

    influenced the properties of white liquor and the overall efficiency in the causticizing plant. Lime

    kiln produces reburned lime by calcining lime mud at high temperatures. The quality of lime is

    often based on its residual calcium carbonate (CaCO3) content, reactivity and availability

    (fraction of CaO in the reburned lime available for reaction). Slaking and causticizing reactions

    at the slaker mainly use reburned lime fed from the lime kiln, and only use fresh lime for makeup

    due to losses during the causticizing cycle. Therefore when the quality of the reburned lime is

     poor, the reactivity of lime will also be lower which reduces the causticizing efficiency. This will

    cause the produced white liquor slurry to contain an excess amount of free lime even when the

    liming ratio is lower than the equilibrium ratio.

    The particle size of lime could adversely affect the kinetics of the causticizing reaction [36].

    Ideal reburned lime should consist of soft pebbles with a diameter of approximately 2cm [37].

    Pure lime was found to be much more reactive than reburned lime due to having lime availability

    of nearly 100% and a large specific surface area of approximately 2m2/g [37]. On the other hand,

    reburned lime had a lime availability in the range of 87%  –  92% and a specific surface area of

    less than 0.5m2/g [37].

    The overall causticizing efficiency is often found to be correlated to lime reactivity [38, 39]. Due

    to conditions in the causticizing plant, the residence time of lime in the slaker is strictlycontrolled and a highly reactive lime shall slake within 5 minutes upon contact with water [37].

    Many studies concluded that the rate of the causticizing reaction is affected by the properties of

    the lime [40, 41]. Therefore, in addition to using a high liming ratio, the presence of free lime in

    the causticizing plant may be caused by low lime quality due to non-optimized operating

    conditions at the lime kiln.

    2.4.2 Operating Conditions in Causticizing Plant

    Due to the importance of reburned lime properties and its continued use in the lime cycle, the

    calcination process needs to be controlled carefully. At low calcining temperatures, lime

    structure was found to consist of microscopic particles with a high specific surface area (high

     porosity) and are termed “soft- burned” limes. When temperature and/or duration of the

    calcinations were increased, the particles grew and lime porosity decreased, lowering the specific

    surface area and reactivity of the lime [42]. These limes are termed “hard- burned” or sintered

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    lime. It was found that when the calcination temperature exceeded 1100°C, a decrease in

    causticizing efficiency occurred due to the use of sintered reburned lime at the slaker [43]. When

    testing and comparing pure lime and reburned lime collected from 10 Canadian kraft pulp mills,

    Dorris [42] found that lime sintering in the kiln contributed to the poor reactivity of reburned

    lime. Long residence time (i.e. greater than 1 hour) in the lime kiln also causes sintering of

    calcium oxide particles while short residence time results in incomplete calcination process [44].

    Chemical content in the slaking water also affects the lime property. Potgieter [45] found that

    slaking water containing a chloride content higher than 250mg/L enhances the solubility of lime

    which leads to an increase in lime reactivity. On the other hand, slaking water containing

    carbonate and sulphate contents higher than 250mg/L reduces slaking rate as CaCO3 and CaSO4 

    can partially or completely coat the lime particles [45]. Carbonate content has a more severe

    impact on hydration rates as it is less soluble than CaSO4.

    Causticizing efficiency (CE), as discussed in Section 1.2, is dependent on the amount of CaO

    added in the slaker to convert Na2CO3 in the green liquor to NaOH. The ratio between CaO and

     Na2CO3 is also known as the liming ratio. When trying to maximize the CE at the slaker and the

    causticizers, using a liming ratio equal or higher than the stoichiometric liming ratio can induce a

    higher conversion rate of NaCO3 to NaOH in a shorter period of time [43, 46]. However, due to

    the adverse effect of free lime content in the causticizing cycle, targeted CE in the causticizing plant is often 3% to 11% below the equilibrium CE [47]. In order to maintain the optimum CE,

    liming ratio should be adjusted as soon as possible after changes occur in green liquor

    composition (i.e. changes in Na2CO3 concentration) [48].

     Non-process elements (NPE) in pulp mills are defined as elements that do not have any function

    during the production of pulp or during the chemical and energy recovery process. NPE presents

    challenges when monitoring and minimizing the free lime content in the causticizing plant.

    Typical NPE in the causticizing cycle can be characterized by their accumulation tendencies

    [49]. Some NPE, such as calcium (Ca), magnesium (Mg) and manganese (Mn) could be easily

    removed from the system due to their low-solubility in alkaline solution. Other NPE were found

    to have a higher tendency to remain in the system such as iron (Fe), aluminum (Al) and silicon

    (Si) [49]. Potassium (K) and chloride (Cl) were found to be the most difficult to remove due to

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    their high solubility. The variability in NPE concentration in liquor systems was found to be

    related to the difference in chemicals used in kraft pulp mills [50].

    Among other NPE, Mg can accumulate in the causticizing cycle. Due to its similarity to CaCO 3,

    magnesium carbonate (MgCO3) can be calcined to magnesium oxide (MgO) in the lime kiln at

    temperatures lower than lime calcination [51]. Excess MgCO3 can cause lime to become hard-

     burned at normal operating conditions [52]. In addition, MgO is slaked by water to magnesium

    hydroxide (Mg(OH)2), similar to Ca(OH)2, but it does not react with Na2CO3 in the green liquor.

    High Mg content can cause increased grit production [45]. This is a typical example of how NPE

    can be carried and recycled through the causticizing plant, acting as dead weight in various

    chemical processes. More importantly, NPE can alter the value of zeta potential non-linearly, due

    to changes in particle surface potential caused by polyvalent ions within the dispersion system.

    Even though the majority of sodium content is removed during the white liquor clarifier, an

    unusual form of sodium termed “guarded” sodium is present in the lime mud which cannot be

    reduced by washing [53]. Guarded sodium will always form in CaCO3 and is not significantly

    affected by the liming ratio. Since zeta potential is highly correlated to pH, an excess amount of

    guarded sodium can reduce the effect of free lime on zeta potential. Table 2-3 summarizes how

    lime quality or the slaking reaction is affected by different causticizing plant operating

    conditions.Table 2-3. Factors Affecting Free Lime Concentration 

    Operating Condition Effect on Lime Quality or Slaking Reaction

    Kiln temperature > 1100°C Production of sintered lime

    Kiln residence time > 1 hour Production of sintered lime

    Kiln magnesium content increases Production of sintered lime

    Slaking water [Cl] increases Slaking rate increases

    Slaking water [SO4] and [CO3] increase Slaking rate decreases

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    3 METHODOLOGY

    The relationship between liming ratio and zeta potential was studied using a combination of

    materials including analytical chemicals and samples collected from kraft pulp mills. White

    liquor was synthesized in the laboratory using the following combinations.

    1)  Analytical grade sodium carbonate (Na2CO3) and calcium oxide (CaO);

    2)  Mill green liquor (mainly Na2CO3 and Na2S) and analytical grade CaO;

    3)  Mill green liquor and reburned lime (mainly CaO).

    The zeta potential of white liquor and lime mud produced using different liming ratios and other

    variable experimental or measurement conditions (e.g. sample concentration) were measured

    using the acoustic and electroacoustic spectrometer, model number DT-1202 from Dispersion

    Technology. The instrument is referred to as DT-1202 in this thesis. Thermogravimetric analysis

    (TGA) was used to measure the free lime content of white liquor or lime mud. The experimental

     parameters and procedures were initially based on Azgomi’s research [8], and then modified to

    match the specific requirements of the DT-1202 and improve the overall efficiency of the

    method for free lime determination.

    3.1 Material

    Analytical grade chemicals with a purity of >99.9% were used. For mill green liquor samples,

    the standard TAPPI ABC test discussed in Section 1.2 was used to determine their properties. In

    addition to TTA, effective alkali (EA) and active alkali (AA), defined below respectively in

    Equation 6 and Equation 7 ([NaOH] and [Na2S] are expressed in g/L Na2O), are used to calculate

    the Na2CO3, NaOH and Na2S concentration in the green liquor samples. Detailed procedures for

    the ABC test can be found in Appendix C. The result of the ABC test is shown in Table 3-1.

    Effective Alkali = [NaOH] + ½[Na2S] (6)

    Active Alkali = [NaOH] + [Na2S] (7)

    Other materials used in this study included chemicals used for calibrating DT-1202’s  zeta

     potential measurement probe. Since the DT-1202 makes measurements by inducing electric

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    current through an electrode, instrument coating and aging would require frequent calibration

    under extensive use. This was done daily to ensure the instrument gave accurate results within

    the instrument’s  limits. The calibration solution for zeta potential is 10wt% silica in 0.01M

     potassium chloride (KCl) which gives a standard zeta potential value of -38.0mV. This solution

    is obtained by diluting the 50wt% colloidal silica provided by Dispersion Technology with

    0.01M KCl solution prepared using analytical chemicals.

    Table 3-1. Green Liquor Composition 

    g/L Na2O

    Effective Alkali (EA) 29.1

    Active Alkali (AA) 47.7

    Total Titratable Alkali (TTA) 121

    3.2 Experimental SetupZeta potential measurements were measured with the DT-1202. The instrument was also used to

    determine the particle size for CaO and CaCO3, which was used as initial input parameters for

    calculating zeta potential. The DT-1202 determines zeta potential of dispersions based on

    measurements of colloid vibration current (CVI) [54  –  56]. In addition, the DT-1202 uses the

    macroscopic fitting method for particle size distribution (PSD) measurements, similar to light

    scattering, x-ray scattering and neutron scattering [57].

    Particle size measurements are mainly based on sample weight. Discussed in Section 2.3, the

    attenuation of ultrasound caused by individual particles is proportional to the particle’s weight or

    volume. The DT-1202 and the acoustic spectroscopy technique are conventionally used by other

    research groups for development and quality control in a wide range of industries such as cement

    and ceramics industries [58, 59]. The sampling chamber in the DT-1202 has an ultrasound

    generation end and a receiving end. At the generation end, a probe sends ultrasound at different

    frequencies while the probe at the receiving end catches the incident beam at various positions.

    The combination of frequencies and measurement positions are used to develop an experimentalPSD model, which is fitted to either a unimodal (single peak) or a bimodal (double peak) curve.

    The theoretical model that matches the experimental curve with minimum deviation was used to

    calculate the particle size of the sample.

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    The DT-1202 uses electroacoustic technology to measure zeta potential. The piezo-crystal at the

     bottom of the zeta potential probe receives an input pulse, producing ultrasound waves that

    eventually reach the dispersion in the sample chamber through the gold electrode (Figure 3-1).

    Figure 3-1. Zeta Potential Measurement Probe 

    The transducer and amplifier help with the adjustment and transmission of ultrasound waves

     based on the user inputted concentration and composition of the dispersion. The ultrasound

     pulses, when transmitted within the dispersion, generate particle motions relative to the liquid

    when the densities between the two phases are different. These movements generate dipole

    moments which cause oscillating potential on the gold electrode only. The stainless steel shell on

    the outside of the zeta potential probe, separated by a non-conducting ceramic spacer, has an

    electric potential of zero. The difference in potential between the two reference points equals the

    colloid vibration current (CVI) which is used in combination with the concentration and the

     particle size to calculate the sample’s zeta potential.

    Lime reactivity tests were performed in an isotherm cylindrical Dewar container with a digital

    laboratory stirrer. The SDT Q600 from TA Instruments was used for thermogravimetric analysis.

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    A detailed procedure for TGA can be found in Appendix D. The Ca(OH)2  and CaCO3 

    concentration are determined based on weight losses caused by their decomposition to CaO and

    water or carbon dioxide, respectively. The decomposition reactions proceed as shown below:

    Ca(OH)2  CaO + H2O (8)

    CaCO3  CaO + CO2  (9)

    3.3 Experimental Procedures

    The initial procedure was based on Azgomi’s research [8], but due to the differences between the

    DT-1202 and the laser diffraction instrument used in Azgomi’s study, modifications to sample

     preparation method (e.g. concentration) were made.

    3.3.1 Particle Size Determination

    Zeta potential measurements using electroacoustic techniques are primarily based on knowing

    the concentration, density and particle size of the sample, using theories outlined in Section 2.3.

    More specifically, the DT-1202 used in this study gave the most accurate and consistent results

    when measuring dispersion systems with colloids having a similar particle size. Hence, the

     particle size distributions (PSD) of Ca(OH)2 and CaCO3 were compared.

    Lime calcinations were performed with 15g of either pure CaO or lime mud. The sample was

    heated to 850C in an oven for 50 minutes to avoid soft-burned or hard-burned lime. Particle size

    and zeta potential measurements were made after samples cooled down to room temperature.

    For particle size measurements, calibrations were not required for the DT-1202. Dispersion

    samples consisted of Ca(OH)2  (CaO dissolved in water) and/or CaCO3  and were diluted in

    distilled water at 8wt% concentration. Lime mud samples were used as the basis for CaCO3 

     particle size measurements. For determining the particle size of Ca(OH)2, three different sampleswere used: pure CaO, reburned lime from calcination of pure CaCO 3  and reburned lime from

    calcination of lime mud. The PSD of lime mud and reburned lime (from calcination of lime mud)

    can be seen in Figure 3-2 and Figure 3-3 as produced by the DT-1202, respectively.

    Each point on the particle size distribution curve is equal to the total weight percentage of all

     particles with that same diameter. The average particle size of the sample is at the peak of the

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    distribution curve. When more than one peak exists for a particular sample, either two chemicals

    with distinct size are present, or a high degree of agglomeration exists in the sample.

    Figure 3-2. Particle Size Distribution for CaCO3 

    Figure 3-3. Particle Size Distribution for Ca(OH)2 (from Calcination of Lime Mud)

    It can be observed that for lime mud, two peaks exist and a bimodal distribution is used to

    characterize the particle size distribution. However, for reburned lime, a single peak exists and a

    unimodal distribution is sufficient to characterize the particle size distribution. For lime mud, the

    0.0

    1.0

    2.0

    3.0

    4.0

    0.1 1 10 100 1000

       P   S   D    (   W   e   i   g    h   t   B   a   s   i   s    )

    Diameter (μm)

    0.0

    0.5

    1.0

    1.5

    2.0

    0.1 1 10 100 1000

       P   S   D    (   W   e   i   g    h   t   B   a   s   i   s    )

    Diameter (μm)

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    average particle size is around 12μm at the first peak and approximately 200μm at the second

     peak. On the other hand, the average particle size for reburned lime is approximately 10μm. 

    The necessity for using a bimodal distribution to model the PSD of lime mud can be caused by

    the presence of both fine CaCO3  particles and more coarse particles due to agglomeration

     between CaCO3, free lime and other impurities in the lime mud. The calcination process for

    converting CaCO3  into CaO caused the reburned lime to have a more uniform chemical

    composition and reduced the amount of agglomeration when compared to the original lime mud.

    Therefore, only a unimodal distribution was required to characterize the PSD for reburned lime.

    Comparison is made between the average particle sizes of the four samples, as shown in Figure

    3-4. It can be concluded that the average value for each sample is within the same order of

    magnitude. Lime mud has the largest diameter of 12.7μm while the three Ca(OH)2 samples have

    an average diameter of 10.7μm. These findings are consistent with previous results where

    Ca(OH)2  and CaCO3 particles were found to be in the range of 5μm to 20μm in diameter [8].

    Since the main colloids (Ca(OH)2 and CaCO3) in the sample measured in this study have similar

    sizes, the DT-1202 can be used with confidence for producing accurate and consistent results.

    Figure 3-4. Average Particle Sizes for Lime and Lime Mud Samples 

    Zeta potentials for these samples were measured and the results are shown in Figure 3-5. The

    zeta potential for all Ca(OH)2 samples is similar at an average value of 44mV. On the other hand,

    0

    3

    6

    9

    12

    15

    Calcined CaCO3 Calcined Mud Pure Ca(OH)2 Pure Mud

       P   a   r   t   i   c    l   e   S   i   z   e    (   u   m    )

    Sample Type

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    lime mud has a zeta potential of approximately 12mV. These measurements indicate that free

    lime does have an impact on zeta potential.

    Figure 3-5. Average Zeta Potentials for Lime and Lime Mud Samples 

    3.3.2 Initial Experimental Procedure

    The following procedure was adapted from Azgomi’s research [8] to be used as a guideline for

    making zeta potential measurements. Validation and modifications for the following procedural

    steps will be discussed in the next section.

    A sealed plastic bottle containing 100mL of pure Na2CO3  solution or mill green liquor was

    heated up to 90C in a hot water bath with constant mixing. Analytical CaO or mill reburned

    lime was transferred quickly into the bottle, while maintaining constant agitation. The reaction

    was carried out for 1 hour, allowing the slaking and causticizing reactions to reach equilibrium.

    The resulting white liquor slurry was filtered with a vacuum filtration unit at a constant vacuum

    of 0.5bar, monitored with a pressure gauge. This was done to separate the white liquor and the

     precipitated lime mud cake. The produced white liquor contained dissolved sodium content and

    other impurities, which might adversely affect zeta potential measurements as the overall charge

    in the system could be changed, as discussed in Section 2.2.2. The wet lime mud was dried in an

    oven at 120C over a period of 90 minutes. The dried lime mud was diluted to 1wt%

    concentration in 150mL distilled water and zeta potential was measured at room temperature.

    0

    10

    20

    30

    40

    50

    Calcined CaCO3 Calcined Mud Pure Ca(OH)2 Pure Mud

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Sample Type

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    3.3.3 Procedure Modification

    Due to the differences between electroacoustic and light-scattering techniques and efforts to

    minimize the time required for making sample measurements, the initial procedure was modified

    to better suit the specific scope of this study. A series of experiments were performed todetermine the validity of each parameter used in the initial procedure (e.g. dilution

    concentration) by changing its value within a reasonable range. In addition, considerations were

    given to other variables that could potentially change during normal operations in causticizing

     plants (e.g. lime particle size). Ultimately, a value for each parameter was chosen based on its

    tendency to give consistent results with the least amount of measurement time.

    The causticizing reaction temperature was changed between room temperature (approximately

    25°C) and 90°C. The result shown in Figure 3-6 indicates that when carrying out the causticizing

    reaction at room temperature, there is minimum variation on zeta potential for liming ratios

     between the range of 0.8 and 1.2. This is expected as causticizing reactions at low temperature

    will have slow kinetics, and the degree of completion for the causticizing reaction will be

    relatively low regardless of the liming ratio. On the other hand, the causticizing reaction

    completed at 90°C shows a strong correlation between zeta potential and liming ratio.

    Figure 3-6. Effect of Liming Ratio on Zeta Potential at Different Causticizing Reaction

    Temperatures (Pure Chemicals, 1 Hour Reaction) 

    0

    10

    20

    30

    40

    50

    0.8 0.85 0.9 0.95 1 1.05 1.1 1.15 1.2

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

    9…

    S…

     

    90°C

    25°C

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    The measurement temperature was investigated using samples produced at a liming ratio equal to

    1.1. After mixing the lime mud sample with distilled water at 1wt%, the lime mud was heated to

    50°C –  the upper limit for the DT-1202 without damaging the zeta potential measurement probe.

    The sample was cooled by air while the temperature was monitored using the DT-1202’s

    temperature probe. A measurement was made with every 5°C decrease in sample temperature

    until the lime mud reached room temperature (approximately 25°C). The results are shown in

    Figure 3-7. It can be concluded that the measurement temperature has an insignificant impact on

    zeta potential, and that measurements can be made at room temperature to reduce sample

     preparation time in this study.

    Figure 3-7. Effect of Measurement Temperature on Zeta Potential (Pure Chemicals, 1 Hour

     Reaction, 90°C Reaction Temperature) 

    Instead of measuring zeta potential of lime mud, measurements could be made directly on the

    synthesized white liquor. If correlations existed between zeta potential of white liquor and liming

    ratio, it would decrease the overall analysis time. Figure 3-8 and Figure 3-9 show the effect of

    liming ratio on zeta potential of white liquor with immediate measurement or after sample

    dilution, respectively. It can be concluded that liming ratio has no effect on zeta potential when

    measuring white liquor samples. This may be due to impurities and high sodium content in white

    liquor obscuring the effect of Ca(OH)2, causing free lime to become a less determinant factor on

    the zeta potential of the sample, even at very low concentrations (e.g. 0.7wt%). The direct

    dilution of white liquor is therefore not desirable for accurate measurement of zeta potential.

    0

    10

    20

    30

    40

    50

    25 30 35 40 45 50

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Temperature (°C)

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    Figure 3-8. Effect of Liming Ratio on Zeta Potential when Measuring White Liquor SlurriesSynthesized with Pure Chemicals and Mill Green Liquor Samples (1 Hour Reaction, 90°C

     Reaction Temperature) 

    Figure 3-9. Effect of Liming Ratio on Zeta Potential when Measuring White Liquor Slurries

     Diluted with Distilled Water at Different Concentrations (Pure Chemicals, 1 Hour Reaction,

    90°C Reaction Temperature) 

    Since the spectrometer measures zeta potential by monitoring particle movements under an

    electric field, the sample concentration plays an important role. Highly concentrated samples

    might hinder particle movement due to increased chemical bonds between particles and

    0

    20

    40

    60

    80

    100

    0.2 0.4 0.6 0.8 1 1.2

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

    Pure Chemicals

    Mill Samples

    0

    10

    20

    30

    40

    50

    60

    70

    80

    0.6 0.7 0.8 0.9 1 1.1 1.2

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

    0.7wt% 1.0wt%

    1.5wt% 3.0wt%

    Pure Chemicals

    Mill Samples

    0.7wt%

    1.0wt%

    1.5wt%

    3.0wt%

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    decreased free space in the dispersion. Figure 3-10 and Figure 3-11 show the zeta potential of

    lime mud produced using pure Na2CO3 and mill green liquor samples.

    Figure 3-10. Effect of Liming Ratio on Zeta Potential when Measuring Lime Mud Diluted with Distilled Water at Different Concentrations (Pure Chemicals, 1 Hour Reaction, 90°C Reaction

    Temperature)

    Figure 3-11. Effect of Liming Ratio on Zeta Potential when Measuring Lime Mud Diluted with

     Distilled Water at 1wt% (Mill Green Liquor, 1 Hour Reaction, 90°C Reaction Temperature) 

    0

    10

    20

    30

    40

    50

    60

    0.4 0.6 0.8 1 1.2 1.4

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

    1wt% 3wt%

    0

    15

    30

    45

    60

    75

    0.4 0.6 0.8 1 1.2 1.4

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

    Run 1 Run 2

    Run 3 Run 4

    1wt%

    3wt%

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    Using pure chemicals, at 3wt% concentration, the zeta potential only increases slightly with an

    increase in liming ratio. At 1wt% concentration, there is a much higher increase in zeta potential

    with an increase in liming ratio. With a lower concentration, the particle movement is more

    readily measurable by the zeta potential probe. When substituting Na2CO3  with mill green

    liquors, similar results are obtained. However, the results between different experimental runs

    are not consistent with each other. More importantly, there are no negative zeta potentials for

    underlimed systems as shown in Azgomi’s study [8] (Figure 2-3).

    In order to obtain more consistent results, the sample volume was varied by switching from the

    large sample chamber with an attached magnetic stirrer (holds up to 130mL of sample) to the

    small sample cup (holds up to 20mL of sample), both shown in Figure 3-12. The zeta potential

     probe is inserted into the sample chamber or sits under the sample cup. The magnetic stirrer

    cannot be attached to the sample cup, so when making zeta potential measurements in this

    configuration, the sample will settle on top of the zeta potential probe.

    Figure 3-12. Sample Compartments for Zeta Potential Measurement  

    To reduce the sample volume for the sample cup, only 20mL of synthesized white liquor was

     prepared. After filtration and drying, lime mud was added to 20mL of distilled water to achieve

    1wt% in concentration. 10mL of this solution was transferred into the sample cup for zeta

     potential measurements and the result is summarized in Figure 3-13. It can be seen that the

    correlation between zeta potential and liming ratio is much closer to Azgomi’s research [8]. The

    reason for the differences in results may be due to the effect of constant mixing associated with

    using the large sample chamber. Due to the low concentration of lime mud samples, the current

    induced by mixing may disrupt particle movements within the dispersion. The angle of sound

    reflection, the main variable used to determine the sign of zeta potential, is also affected by

    Location of Zeta

    Potential Probe

    Sample

    Chamber

    Sample Cup

    Zeta Potential

    Probe

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    mixing. By allowing the sample to settle onto the surface of the probe, a more accurate

    representation of sound induced particle movements and sound reflection angle can be captured.

    Figure 3-13. Effect of Liming Ratio on Zeta Potential when Measuring 10mL of Lime Mud Diluted in Distilled Water (Pure Chemicals, 1 Hour Reaction, 90°C Reaction Temperature) 

    3.3.4 Modified Experimental Procedure

    Based on the investigations in the previous section, a modified experimental procedure was used

    for zeta potential measurements of lime mud that was separated from white liquor produced

    using different liming ratios.

    Tightly sealed plastic bottles containing 20mL of pure Na2CO3 or mill green liquor were heated

    in a hot water bath at 90C with continued agitation. Different amounts of pure CaO or mill

    reburned lime were transferred into the bottles to achieve a range of liming ratios. The slaking

    and causticizing reactions were allowed to be carried out for 1 hour so the system had enough

    time to reach equilibrium.

    The resulting white liquor slurry was filtered in a vacuum filtration unit under a 0.5bar vacuum,

    and the separated wet lime mud slurry was then dried for 90 minutes in an oven at 120°C. The

    lime mud was diluted in 20mL of distilled water to 1wt% concentration. Zeta potential

    measurements were made with 10mL of diluted lime mud sample at room temperature. The

    sample chamber sat on top of the zeta potential probe and the sample was allowed to settle

    -60

    -40

    -20

    0

    20

    40

    60

    80

    0.2 0.4 0.6 0.8 1 1.2 1.4

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

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     before making measurements. A simplified process diagram for the modified experimental

     procedure is shown below in Figure 3-14.

    Figure 3-14. Experimental Procedure Flow Chart  

    Causticizing Reaction in

    Water Bath

    Vacuum

    Filtration

    Oven DryingDilution with

    Distilled Water

    Zeta Potential

    Measurement

    Lime

    Green Liquor

    White

    Liquor SlurryWhite Liquor

    Solids (Lime Mud Slurry)

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    4 RESULTS AND DISCUSSION

    Zeta potential (ζ) of lime mud was found to be dependent on the amount of free lime in the lime

    mud, based on Azgomi’s research [8]. To validate this relationship, zeta potential of samples

    using analytical chemicals and mill samples will be compared and discussed. To further

    investigate this relationship, zeta potential measurements were correlated to free lime

    measurements for samples prepared under different experimental conditions (e.g. reaction time)

    and measurement conditions (e.g. storage time).

    Zeta potential values will be expressed in millivolts (mV), liming ratios in concentration ratio of

    calcium oxide to sodium carbonate or [CaO]/[Na2CO3], and free lime content as weight

     percentage in either white liquor or lime mud samples.

    4.1 Effect of Free Lime on Zeta Potential for Analytical Samples

    The experimental results from modifications of the initial procedure in Section 3.3.3 gave great

    insights on how the acoustic and electroacoustic spectrometer can be used effectively to measure

    zeta potential. It was found that the measurements were sensitive to different parameters due to

     both chemical properties such as increased molecular interactions at high concentrations and

     physical properties such as mixing induced currents causing chaotic particle movements. This

    section will focus on the discussion of differences and similarities between using pure CaO andeither analytical Na2CO3 or mill green liquor to produce white liquor. Zeta potential of diluted

    lime mud (at 1wt% concentration) will be measured with the 10mL sample cup at room

    temperature (25°C).

    4.1.1 Analytical Grade Chemicals

    Using analytical chemicals, causticizing reactions were carried out at 90°C over a period of 1

    hour. Experiments were repeated up to 20 times (and each experiment was measured 3 times) to

    determine the reproducibility of results when using the modified experimental procedures as

    established in the previous section. The result is shown in Figure 4-1, where it can be seen that

    when the liming ratio is equal to or below 0.8, the zeta potential average between repeated

    experiments is negative with a very small error bar. In addition, when liming ratio increases

    above 1.0, the zeta potential value becomes less consistent, with slightly larger error bars, but

    results of repeated experiments are all positive values.

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    Figure 4-1. Measurement Repeatability with 10mL Samples (Pure Chemicals, 1 Hour Reaction,

    90°C Reaction Temperature) 

    According to Azgomi’s work , underliming and overliming conditions should have negative and

     positive zeta potential values, respectively [8]. The result in Figure 4-1 shows a similar trend,

    except when liming ratio is equal to 1.0, where the measured zeta potentials are in both positive

    and negative regions, represented by the larger error bar. This is expected and will be referred to

    as the “transition zone” where the system is either slightly underlimed or overlimed. Using pure

    chemicals, the lime mud samples prepared at a liming ratio of 1.0 only have a minimum amount

    of excess free lime. Therefore, each sample used for dilution may not contain enough free lime

    for it to become a dominant factor when determining the zeta potential, in which case the zeta

     potential will remain negative.

    Using zeta potential theory outlined in Section 2.2.1, the negatively charged colloid in the lime

    mud slurry can be the dissociated carbonate (CO32-) ions. Since the Stern layer consists of

    calcium (Ca2+

    ) and sodium (Na+) ions, the surface charge at the particle interface is caused by

    adsorption of these charged ions. In general, dispersions at high pH will have negative zeta

     potentials. Theoretically, in the lime mud slurry, the presence of sodium hydroxide (NaOH) will

    cause the dispersion to have a negative zeta potential value. However, at overliming conditions,

     positive zeta potentials are observed.

    -40

    -30

    -20

    -10

    0

    10

    20

    30

    40

    0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6

       Z   e   t   a   P   o   t   e   n   t   i   a    l    (   m   V    )

    Liming Ratio ([CaO]/[Na2CO3])

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    The reason for consistent measurements of positive zeta potentials when the sample contains an

    excess amount of free lime might be due to changes in the double layer thickness. Since the Stern

    layer contains positively charged ions, additional Ca2+

     ions (dissociated from excess amount of

    Ca(OH)2) can further compress the double layer when compared to having only Na+  ions. In

    addition, zeta potential measurements are obtained based on electric charge generated by particle

    movements. Hence, the ability of particles to move through the dispersion (known as electrical

    mobility) plays an important role in determining the magnitude and the sign of zeta potential.

    Combination of a thinner double layer thickness and the change in electrical mobility caused by

    excess free lime can potentially change the sign of zeta potential from negative to positive.

    For samples from the above experiments, the free lime content was measured using TGA. The

    result for weight losses at different temperatures is shown in Figure 4-2 and Figure 4-3, for

    liming ratios of 0.6 and 1.4, respectively. The initial decrease in weight at 100°C corresponds to

    evaporation of water. Decrease in weight at approximately 400°C is due to the decomposition of

    Ca(OH)2  to CaO and H2O. The final decrease in weight at approximately 800°C is due to the

    decomposition of CaCO3  to CaO and CO2. Comparing the two plots, the sample weight loss

    caused by Ca(OH)2 decomposition is insignificant when liming ratio is 0.6. On the other hand,

    there is a clear decrease in sample weight when the liming ratio is 1.2. This is expected as the

    amount of free lime in underlimed systems should be much lower than in overlimed systems.

    Figure 4-2. Weight Loss Profile for Lime Mud (0.6 Liming Ratio and Pure Chemicals) 

    50

    70

    90

    110

    0 150 300 450 600 750 900

       W   e   i   g    h   t    (   %    )

    Temperature (°C)

    96

    97

    98

    99

    100

    350 375 400 425 450

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    Figure 4-3. Weight Loss Profile for Lime Mud (1.2 Liming Ratio and Pure Chemicals)

    The zeta potential and free lime content for lime mud prepared at different liming ratios is shown

    in Figure 4-4. Since pure chemicals are used, the free lime contents are expected to be

    consistently low for liming ratios below 1.0. When overliming occurs, the free lime content

    increases to almost 6wt%. The result also shows that zeta potential increases with liming ratios.

    Figure 4-4. Zeta Potential and Free Lime as a Function of Liming Ratios (Pure Chemicals, 1

     Hour Reaction, 90°C