Study on kinetics of thermal decomposition of low LOI goethetic hematite iron ore
机械工程英语试题及答案

机械工程英语试题及答案一、单项选择题(每题2分,共20分)1. The term "mechanical engineering" refers to the field of study that involves the application of principles of physics and materials science for analysis, design, manufacturing, and maintenance of mechanical systems.A. TrueB. False答案:A2. Which of the following is not a sub-discipline of mechanical engineering?A. RoboticsB. ThermodynamicsC. Civil EngineeringD. Materials Science答案:C3. The process of converting a design into a physical object is known as:A. PrototypingB. DesignC. AnalysisD. Manufacturing答案:D4. In mechanical engineering, what does the acronym "CAD" stand for?A. Computer Aided DesignB. Computer Aided DraftingC. Computer Aided DevelopmentD. Computer Aided Drawing答案:A5. What is the primary function of a bearing in a mechanical system?A. To reduce frictionB. To increase frictionC. To absorb shockD. To generate heat答案:A6. The study of heat transfer, thermal energy storage, and the effects of temperature on materials is known as:A. ThermodynamicsB. Fluid MechanicsC. Heat TransferD. Materials Science答案:C7. What is the SI unit for power?A. WattB. JouleC. NewtonD. Pascal答案:A8. A gear system that uses two or more gears to transmit motion and force is called:A. GearboxB. Pulley systemC. Cam mechanismD. Lever system答案:A9. In mechanical engineering, what does the term "stress" refer to?A. Force per unit areaB. Strain per unit forceC. Force per unit volumeD. Strain per unit volume答案:A10. Which of the following is a type of energy storage device used in mechanical systems?A. SpringB. BatteryC. CapacitorD. Inductor答案:A二、填空题(每题2分,共20分)1. The ________ of a material is its ability to resist deformation under applied force.答案:stiffness2. The ________ of a material is its ability to resist breaking under stress.答案:strength3. In a four-stroke internal combustion engine, the ________ stroke is where the fuel-air mixture is compressed.答案:compression4. A ________ is a mechanical device that converts rotational motion into linear motion.答案:screw5. The ________ of a system is the total energy required to produce the system.答案:embodied energy6. A ________ is a type of simple machine consisting of a wheel and a rope wrapped around it.答案:pulley7. The ________ of a system is the energy required to operate the system over its lifetime.答案:operational energy8. A ________ is a type of energy storage device that uses the elastic properties of materials to store energy.答案:spring9. The ________ of a material is its ability to resist deformation under stress.答案:ductility10. A ________ is a type of energy storage device that uses the potential energy of a raised mass to store energy.答案:gravity storage system三、简答题(每题10分,共40分)1. Explain the difference between static and dynamic equilibrium in mechanical systems.答案:Static equilibrium refers to a state where all forces and moments acting on a system are balanced, resulting in no acceleration. Dynamic equilibrium occurs when the net force and net moment on a system are zero, allowing the system to move with constant velocity.2. Describe the function of a flywheel in a mechanical system. 答案:A flywheel is a rotating mechanical device that stores rotational kinetic energy. It smooths out fluctuations in the power delivery of an engine or motor, providing a moreconstant output.3. What is the purpose of a heat exchanger in a mechanical system?答案:A heat exchanger is a device used to transfer heat between two or more fluids without mixing them. Its purposeis to either cool a hot fluid or heat a cold fluid, improving the efficiency of the system.4. Explain the concept of a control system in mechanical engineering.答案:A control system in mechanical engineering is a system that regulates the behavior of other systems or processes. It uses feedback to compare the actual output with the desired output and makes adjustments to minimize the difference, ensuring the system operates as intended.。
不同频率飞秒激光脉冲序列加工炸药过程安全性的数值计算

不同频率飞秒激光脉冲序列加工炸药过程安全性的数值计算伍俊英,刘嘉锡,杨利军,李姚江,吴姣姣,陈朗(北京理工大学爆炸科学与技术国家重点实验室,北京100081)摘要:为了研究飞秒激光加工炸药技术的安全性,建立了飞秒激光脉冲序列加工炸药的计算模型,考虑了炸药在受热条件下的自热反应。
采用数值计算的方法对飞秒激光脉冲序列烧蚀炸药(TNT ,TATB 和HMX )的过程进行了计算,分析了飞秒激光脉冲序列加工炸药过程的安全性。
计算结果表明,飞秒激光脉冲序列频率、炸药自热反应放热量和热扩散系数会显著影响加工过程的安全性。
在这三种炸药中,HMX 自热反应的放热量最大,热扩散系数最小,因此热累积效应最明显,在三种不同频率(1×103Hz ,1×105Hz 和2×105Hz )的飞秒激光脉冲序列作用下均发生了点火;相反,TATB 的热累积效应最弱,在三种不同频率的飞秒激光脉冲序列作用下均未发生点火;TNT 的热累积效应介于HMX 和TATB 之间,因此只在频率较高的飞秒激光脉冲序列作用下才发生点火。
在实际加工过程中,特别是对自热反应放热量较大和热扩散系数较小的炸药,为保证加工过程的安全性,应尽量选用频率较低的飞秒激光脉冲序列对其进行加工。
关键词:飞秒激光;脉冲序列;激光加工;炸药;数值计算中图分类号:TJ55文献标志码:ADOI :10.11943/CJEM20201831引言具有高精度结构的炸药部件对提升武器的毁伤性能十分重要。
由于炸药自身具有一定的危险性,所以对炸药进行高安全、高精度的切削加工一直是一个技术难题。
飞秒激光加工炸药技术是利用高功率的飞秒激光,把其聚焦区内的炸药瞬间变成高温高压等离子体来实现对炸药的烧蚀去除。
在飞秒激光加工物质的过程中,加工物质形成等离子体的时间尺度远小于飞秒激光能量传递到被加工区域周围的时间尺度,因此被加工区域周围的物质不易受到热传导的作用,这使得飞秒激光与物质作用的过程不同于长脉冲激光(皮秒、纳秒和毫秒激光),从而从根本上消除了长脉冲激光加工过程中存在的热影响和热损伤现象,实现了对材料的“冷加工”[1-3]。
热力学专业英语作文

热力学专业英语作文Title: Thermodynamics in EnglishThermodynamics is the branch of physics that deals with the relationships between heat, work, energy, and temperature.It is one of the fundamental sciences that help us understand and predict the behavior of systems.In this essay, we will explore some key concepts and terms related to thermodynamics in English.Firstly, let"s talk about the laws of thermodynamics.There are four laws of thermodynamics, but the first and second laws are the most fundamental.The first law of thermodynamics, also known as the law of conservation of energy, states that energy cannot be created or destroyed, only transformed from one form to another.The second law of thermodynamics states that in a closed system, the total entropy always tends to increase over time, meaning that processes tend to become more disordered.ext, let"s discuss some common units of measurement in thermodynamics.The joule (J) is the unit of energy in the International System of Units (SI), while the calorie (cal) is a non-SI unit of energy commonly used in nutrition.The watt (W) is the unit of power, which is the rate at which work is done or energy is transferred.The kilowatt-hour (kWh) is a common unit of energy consumption, often used in the context of electricity usage.Thermodynamic properties are characteristics of a system that can be used to describe its state and predict its behavior.Some common thermodynamic properties include temperature, pressure, volume, and internal energy.Temperature is a measure of the average kinetic energy of the particles in a system, while pressure is a measure of the force exerted by the particles on the walls of the container.Volume is the amount of space occupied by the system, and internal energy is the total energy of the system, including both kinetic and potential energy.ow, let"s talk about some thermodynamic processes.An isothermal process is a process in which the temperature of the system remains constant.A reversible process is one that can be undone by a small change in the system"s state, while an irreversible process is not reversible and may involve a large change in the system"s state.An adiabatic process is one in which there is no heat transfer between the system and its surroundings, while a diabatic process involves heat transfer.In conclusion, thermodynamics is a fundamental science that helps us understand the behavior of systems.By studying the laws of thermodynamics, units of measurement, thermodynamic properties, and processes, we can gain a deeper understanding of how energy and heat are transformed and transferred.With this knowledge, we can apply thermodynamics to various fields, such as engineering, physics, andchemistry, to solve real-world problems and improve our lives.。
等温DSC法研究环氧树脂的固化动力学的英文资料

Influence of processing and testing conditions on the mechanical behaviour of sheet-moulding compound laminates
Studies have been carried out in order to optimize the compression-moulding cycle for two classes of commercial sheet-moulding compounds, standard and low-shrink prepregs. The laminates have been moulded at different temperature and pressure conditions, and afterwards their mechanical behaviour has been analysed by flexural and tensile tests at various temperatures and strain rates. Furthermore, dynamic-mechanical measurements have been used to correlate temperature-dependent viscoelastic properties, and the structure of the moulded materials.
1. Introduction
Sheet-moulding compound (SMC) technology has been used in manufacturing large composite automobile, aerospace and general industrial applications for more than two decades. The current trends of improving the surface appearance and mechanical properties can lead to even more applications both for exterior and structural parts [1]. The moulded SMC consists of a thermoset polymeric matrix and chopped glass fibres. The matrix is composed of a styrenated polyester resin including low-profile thermoplastic additives, large loadings of calcium carbonate filler, and small amounts of reactive chemicals such as thickening and curing agents. One of the advantages of these materials is their easy manufacturing technique by compression moulding. The cure cycle of the material depends on its formulation, thickness and surface properties required [1-3]. During a moulding operation, the compound flows and solidifies into the desired shape under pressure and heat. Many factors, such as the presence of low-shrink additives or air-release agents, contribute to surface properties variation [4]. Also, the processing conditions (moulding temperature and pressure, curing time and material flow during moulding) influence the concentration and compaction of SMC ingredients [2], which subsequently influence the mechanical properties of the material. In the present work the mechanical properties of two different commercial materials, standard and low-shrink laminates, cured at several temperature and pressure-moulding processing conditions were in*Author to whomall correspondenceshould be addressed. 0022-2461
二硼化钛陶瓷在不同温度下的氧化行为_英文_

二硼化钛陶瓷在不同温度下的氧化行为黄飞,傅正义,王为民,王皓,王玉成,张金咏,张清杰(武汉理工大学,复合材料新技术国家重点实验室,武汉 430070)摘要:采用静态氧化法对不同温度下TiB2陶瓷的氧化行为进行研究,利用X射线衍射仪、扫描电镜、X射线光电子能谱仪对氧化前后的样品进行表征。
结果表明:低温下TiB2陶瓷氧化动力学满足抛物线规律,并在表面形成液相B2O3,阻止氧化反应的进一步进行,冷却后B2O3以玻璃态覆盖在表面。
高温下TiB2氧化反应在4h前满足抛物线规律,表面形成一层TiO2多孔结构;氧化4h后,随着氧扩散距离的延长,扩散阻力加大,从而使氧化速率降低,氧化反应不再满足抛物线规律。
关键词:二硼化钛;氧化动力学;微观结构中图分类号:TF123;TB332 文献标识码:A 文章编号:0454–5648(2008)05–0584–04OXIDATION BEHA VIOR OF TITANIUM DIBORIDE CERAMIC AT DIFFERENT TEMPERATURES HUANG Fei,FU Zhengyi,W ANG W eimin,W ANG Hao,W ANG Yucheng,ZHANG Jinyong,ZHANG Qinjie(State key Laboratory of Advanced Technology for Materials Synthesis and Processing, Wuhan University ofTechnology, Wuhan 430070, China)Abstract: The oxidation behavior of TiB2 ceramics at different temperatures was investigated using the static oxidation kinetic method. The samples before and after oxidation have been characterized by X-ray diffractometer, scanning electron microscope and X-ray photoelectron spectrometer. The results show that the oxidation kinetics appear the parabolic law at low temperature. A liquid B2O3 coating on the surface of TiB2 ceramic could prevent from further oxidation. After the ceramic samples were cooled, their sur-faces were covered with glassy B2O3. At high temperature, the oxidation reaction of TiB2 ceramics showed the parabolic law only before 4h. Porous rutile TiO2 formed on the surface. But the oxidation behavior with the parabolic law for the TiB2 ceramics was not observed after oxidation for 4h because of the long path of diffusion, strong diffusion resistance and low reaction rate.Key words: titanium diboride; oxidation kinetics; microstructureTitanium diboride with P6/mmm structure is a uniquely stable compound of the boron element and tita-nium element.[1] TiB2 based materials have received wide attention because of their high hardness and elastic modulus, good abrasion resistance and superior thermal and electrical conductivity.[2–3] Potential applications in-clude high temperature structural materials, cutting tools, armor, electrodes in metal smelting and wear parts. De-spite its useful properties, the application of monolithic TiB2 is limited by poor sinterability, exaggerated grain growth at high temperature and poor oxidation resistance above 800.℃[4–5]The starting temperature to oxidize TiB2 ceramics is about 400℃ and oxidation kinetics is controlled by outward diffusion of interstitial titanium ions and inner diffusion of oxygen ions.[5–6] But there are conflicting viewpoints about the detailed oxidation process, for ex-ample, about the oxidation products and oxidation mechanism. Koh et al.[7] investigated the oxidation be-havior of dense TiB2 specimens with 2.5% in mass (the same below) Si3N4 and found that TiB2 exhibited two distinct oxidation behaviors depending on the tempera-ture. At temperatures below 1000℃, the oxidation layer comprised two layers: an inner layer of crystalline TiO2 and an outer layer mainly composed of B2O3. When the oxidation temperatures were higher than 1000℃, the收稿日期:2007–09–23。
异丙苯过氧化物的热解反应及联枯的生成

异丙苯过氧化物的热解反应及联枯的生成汪 超,丁 琳,金国杰(中国石化 上海石油化工研究院,上海 201208)[摘要]在密闭隔氧环境下研究了异丙苯、过氧化氢异丙苯(CHP )和过氧化二异丙苯(DCP )体系的热分解行为,分析了体系热解产物,探讨了热解反应的机理及相关动力学,并考察了苯酚对DCP 热解反应的影响规律。
实验结果表明,异丙苯过氧化物的热解反应主要沿自由基路径进行,过氧化物受热产生异丙苯氧自由基,再进一步通过β碎裂、链转移和自由基结合等反应得到α,α-二甲基苄醇、苯乙酮及2,3-二甲基-2,3-二苯基丁烷(联枯)等产物;DCP 分解速率符合一级反应动力学特征,活化能为127 kJ/mol ;体系中苯酚的存在不会影响DCP 分解的速率,但会显著改变热解产物的组成,特别是抑制联枯的生成。
[关键词]过氧化氢异丙苯;过氧化二异丙苯;热解;自由基;联枯[文章编号]1000-8144(2020)01-0020-07 [中图分类号]TQ 243.1 [文献标志码]AThermal decomposition of cumene peroxides and formation of bicummylWang Chao ,Ding Lin ,Jin Guojie(Sinopec Shanghai Research Institute of Petrochemical Technology ,Shanghai 201208,China )[Abstract ]The thermal decomposition in the system of cumene-cumene hydroperoxide(CHP)- dicumyl peroxide(DCP) was investigated in the closed and anoxic atmosphere. The formed products were analyzed ,the mechanism and the kinetics of the thermal decomposition were discussed ,and the effects on the thermal decomposition of DCP were investigated. The experimental results indicated that the thermal decomposition of CHP and DCP mainly proceeds in the free radical path. Theperoxides were heated and formed the cumyl-oxy radical ,then the products including α,α-dimethyl phenylcarbinol ,acetophenone and 2,3-dimethyl-2,3-diphenylbutane(bicummyl) were obtained through the reactions of β-scission ,chains transfer and recombination of radicals. The decomposition rate of DCP can be described as first-order kinetic with the active energy of 127 kJ/mol. The existence of phenol will not affect the decomposition of DCP ,but change the composition of products remarkably ,especially inhibit the formation of bicummyl.[Keywords ]cumene hydroperoxide ;dicumyl peroxide ;thermal decomposition ;free radicals ;bicummylDOI :10.3969/j.issn.1000-8144.2020.01.004[收稿日期]2019-07-16;[修改稿日期]2019-10-29。
动态湿润与动态接触角研究进展_王晓东

5 .16
Ca 1 +1 .31Ca0.99
0 .706
对于 Ca <0 .1(θD <135°), 式(3)近似为
θD =4 .54Ca0.353
式(4)和低毛细数下的 Hoffman-Voinov-Tanner 定律①, 即
(3) (4)
பைடு நூலகம்
① 见第 396 页脚注 ①
3 98
应用基础与工程科学学报 Vol.11
1 影响动态接触角的因素
动态接触角的实验数据已有很多积累 , 然而在固体衬底和流体性质 、流动参数和几何 特性中 , 仍需进一步认识影响动态接触角的主要因素 .目前已达成共识的是 :动态接触角
收稿日期 :2003-09-23;修订日期 :2003-12-01 基金项目:国家自然科学基 金(No.59976016);中 国博士 后科学 基金(2003034018);国家“ 973” 重大 基础研 究项 目 (No .G 2000026301)资助 作者简介 :王晓东(1973 —), 男 , 博士后. ① 王晓东 .接触角滞后现象与动态湿润分析 .北京 :清华大学博士论文 , 2003
UAE =0 .048 μ1-0.74
(13)
即夹带速度遵循粘度的幂指定律 .类似关联式中有的增加诸如 σ12 等参数 , 但粘度指数都 在 -0 .74附近① .此类关联式缺乏物理基础 .另一类关联式直接从 θD =f (Ca , θ0)出发 , 由 UAE =U180°得到 UAE .如式(13)中令 θD =180°, 假设完全湿润系统 , θ0 =0°, 可得
blake为接触线失稳的转变区所谓的stick2slip现象忽略滞后现象和低速效应hoffman提出纯经验性处理方法把静接触角处理成一个移位因子hoff为通用函数的反函数上式可改写为ca显然极低毛细数下动态接触角接近静接触角毛细数稍高时动态接触角随毛细数迅速增加几乎不受静接触角的影响
阻燃SEBS共混材料的热分解动力学

第24卷第7期高分子材料科学与工程Vo l.24,No.72008年7月POLYMER MATERIALS SCIENCE AND ENGINEERINGJul.2008阻燃SEBS 共混材料的热分解动力学徐建波1,2,周 涛1,郑红娟1,张爱民1(1.四川大学高分子研究所,高分子材料工程国家重点实验室,四川成都610065;2.巴陵石化有限公司技术中心,湖南岳阳414014)摘要:采用T G 分析测试阻燃SEBS 共混材料的热分解过程,并用Friedman 微分法和非线性回归进行动力学分析,探讨其热分解机理。
分析结果表明,膨胀型与金属氢氧化物阻燃的SEBS 共混材料的热分解过程为多步平行反应,极限氧指数随分解活化能的提高而提高。
极限氧指数L OI 测试表明,两体系能有效阻燃SEBS 共混材料。
关键词:热塑性弹性体SEBS;热分解;阻燃中图分类号:O631.3+1 文献标识码:A 文章编号:1000 7555(2008)07 0113 04收稿日期:2007 09 25基金项目:国家863资助项目(2003AA333020)联系人:张爱民,主要从事高分子材料高性能化研究,Email:amzhang215@vip.si SEBS 是由氢化苯乙烯、丁二烯嵌段聚合物(SBS)制得的一种热塑性弹性体,它不仅保持了热塑性弹性体的易加工性与力学性能,而且其耐候、耐热性能得到提高。
已广泛用于软接触材料、医用材料、密封材料、汽车制件、胶粘剂、塑料改性及电线电缆等领域[1]。
但SEBS 及其共混材料仍存在受热易分解、制品易燃等缺陷,因此研究其热分解过程、制备高性能阻燃制品已成为其应用领域的重要课题。
近年来虽有许多关于聚合物热分解与阻燃的研究[2,3],但却少有关于阻燃SEBS 及其共混材料热分解动力学的报道。
本文采用TG 和极限氧指数L OI 测试膨胀型和金属氢氧化物阻燃SEBS 共混材料的热分解过程,并通过非等温线性回归推导,进行其热分解动力学与阻燃效果的研究。
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Study on kinetics of thermal decomposition of low LOI goethetic hematite iron oreBeuria P.C.a,⇑,Biswal S.K.a ,Mishra B.K.a ,Roy G.G.ba Mineral Processing Department,CSIR –Institute of Minerals and Materials Technology,Bhubaneswar 751013,India bIndian Institute of Technology,Kharagpur 721302,Indiaa r t i c l e i n f o Article history:Received 29October 2016Received in revised form 26December 2016Accepted 26January 2017Available online 18July 2017Keywords:Loss on ignition Goethite Kaolinite Gibbsite Roasting Pellet feedKinetic analysisa b s t r a c tIn the present study,the kinetics of thermal decomposition of hydrated minerals associated in natural hematite iron ores has been investigated in a fixed bed system using isothermal methods of kinetic anal-ysis.Hydrated minerals in these hematite iron ores are kaolinite,gibbsite and goethite,which contribute to the loss on ignition (LOI)during thermal decomposition.Experiments in fixed bed have been carried out at variable bed depth (16,32,48and 64mm),temperature (400–1200°C)and residence time (30,45,60and 75min)for iron ore samples.It is observed that beyond a certain critical bed depth (16mm),100%removal of LOI is not found possible even at higher temperature and higher residence time.Most of the solid-state reactions of isothermal kinetic analysis have been used to analyze the reac-tion mechanism.The raw data are modified to yield fraction reacted ‘‘a ”versus time and used for devel-oping various forms of ‘‘a ”functions.f (a )is the inverse of first derivative of g (a )with respect to a .The study demonstrates that decomposition of hydrated mineral in hematite follows the chemical kinetics.The estimated activation energy values in all the experimental situations are found to high,of the order of 60kJ/mol,reinstating that the reactions are indeed controlled by moving phase boundary and random nucleation.Ó2017Published by Elsevier B.V.on behalf of China University of Mining &Technology.This is an openaccess article under the CC BY-NC-ND license (/licenses/by-nc-nd/4.0/).1.IntroductionIndian iron ore resources are mostly hematite.High grade hematite iron ore is depleting very fast.The low grade resource has become the major resources to produce iron and steel in India.The majority of low grade hematite iron ore resource at present is fragile in nature because of its association with good amount of goethite,kaolinite,and gibbsite.As per iron ore formation,goethite generates from hematite due to weathering.The goethite associ-ated with hematite is called vitreous goethite which is hard and crystalline.The goethite associated with clayey materials i.e.,kaolinite and gibbsite is called ochreous goethite [1].The liberation of iron phase minerals in this type of ore is at finer sizes.During the beneficiation of these low grade hematite iron ores,vitreous goethite comes with hematite and partly ocherous goethite along with kaolinite and gibbsite which contribute to the loss on ignition (LOI)in iron ore concentrate.The generation of fines is more during size reduction because of its fragile nature that leads to high Blaine number of the concentrate [2].The utilization of low grade iron ore is need of the hour in respect to meet the high quantity of production of steel in India as per the steel policy of government of India.In order to meet the future demand of steel,low grade iron ore fines need to be ben-eficiated to provide raw materials for steel plants in form of pellet.The presence of goethite,gibbsite,and kaolinite leads to high LOI and high Blaine number of the iron ore concentrate after benefici-ation.The presence of high LOI in the final concentrate deteriorates the quality of pellets [3].Due to the presence of chemically bound water in the matrix of goethite,kaolinite and gibbsite,high pres-sure steam is released at high temperature during induration pro-cess resulting in cracks inside the pellets thereby reducing the strength.The production of pellets and its use in blast furnace has increased largely over the past decade and hence there is con-siderable amount of research interest to remove LOI from the iron ore sample before making the pellet.Gibbsite and goethite release their water molecules within the temperature of 300–400°C whereas kaolinite releases its water molecule after the tempera-ture of 850°C.The kinetics of many solid-state reactions can be represented by Eq.(1):f ða Þ¼ktð1Þ/10.1016/j.ijmst.2017.06.0182095-2686/Ó2017Published by Elsevier B.V.on behalf of China University of Mining &Technology.This is an open access article under the CC BY-NC-ND license (/licenses/by-nc-nd/4.0/).⇑Corresponding author.E-mail address:pcbeuria@immt.res.in (P.C.Beuria).International Journal of Mining Science and Technology 27(2017)1031–1036Contents lists available at ScienceDirectInternational Journal of Mining Science and Technologyjournal homepage:www.else v i e r.c o m /l o c a t e /i j m stwhere a is the conversion factor(fraction of LOI removed)in time t, and the function f(a)depends on the thermal decomposition mech-anism of the iron ore with respect to temperature and pressure and the physical properties of the particle,i.e.,grain size,shape,and crystallinity.The activation energy during the transformation of goethite to hematite has been well documented by many researchers.Lima-de-Faria found that the activation energy for a crushed single crys-tal goethite is82.8kJ/mol[4].Pollack et al.quoted121±13kJ/mol activation energy of two natural limonite(amorphous goethite) [5].Thrierr-Sorel et al.reported activation energy of88kJ/mol for afibrous goethite[6].Keller also gave activation energies in the range of96–167kJ/mol for different variety of goethite types[7]. Goss reported the activation energy of154±15kJ/mol for the sed-imentary goethite[8].Prasad et al.examined the in-situ FTIR study on dehydration of natural graphite and reported that activation energy for pure goethite is85kJ/mol[9].In this paper,the most commonly methods for isothermal kinetic analysis are used in order to determine the mechanism of decomposition of hydrated minerals associated in hematite iron ore using heating cycle process in muffle furnace and thermo-gravimetric analyzer and evaluate the activation energy.The ther-mal decomposition of goethite,gibbsite and kaolinite has given in Eqs.(2)–(4)respectively:2FeOOH¼Fe2O3þH2Oð2Þ2AlðOHÞ3¼Al2O3þ3H2Oð3ÞAl2Si2O5ðOHÞ4¼Al2O3þ2SiO2þ2H2Oð4Þ2.Materials and methodsThe iron ore sample collected from Barbil region of Odisha, India is selected for the study,which contain LOI of5.46%.Miner-alogical characteristic are analyzed through quantitative X-ray diffraction(XRD).The XRD study was carried out by X-ray diffrac-tometer(PANalytical,X’pert)and quantitative analysis was done through high score plus software.The mineralogical characteristic of the sample is given in Table1.The chemical analysis of the sam-ple was carried out through wet chemical and XRF analysis tech-niques.The detailed chemical analysis of the sample is given in Table2.The particle size distribution is given in Table3.Initially,the iron ore samples are subjected to thermo gravimet-ric analysis to determine the rate of weight loss with increase in temperature by TGA(Thermo gravimetric Analysis)/SDTA(Simula-tion of Differential Thermal Analysis)supplied by Mettler,USA.In order to calculate the cumulative weight loss for high mass(250–1000g)samples infixed bed with temperature,the sample with different bed depths are taken after removal of surface moisture and kept inside the furnace for afixed time of30min at a particu-lar temperature from200°C to1200°C with an incremental increase of50°C to compare the TGA data.Further,the iron ore samples are dried at about120°C for 2hours for complete removal of surface moisture.Then the samples are put in four different crucibles of identical size having 96mm internal diameter and91mm height.All the experiments are made in batch mode in afixed bed system.The crucibles are made of high alumina refractory to withstand high temperature. The different weights i.e.250,500,750and1000g of samples are taken for the experiments.The depth of the ore bed varies from 16mm to64mm depending on the weight of the sample.The top of the crucibles is kept open.The samples are decomposed in the muffle furnace isothermally at different temperatures(ranging from400°C to1200°C)for a particular residence time.The heating rate of the furnace is maintained at15°C per minute.The temper-ature of the furnace is maintained precisely by PID controller.After removal from the furnace,final weight of each sample is measured to calculate the percentage of weight loss.The experiments are car-ried out for different residence time from30min to75min.For dif-ferent experiments,fresh samples are used.In overall,the heating cycle is conducted in the muffle furnace at different temperatures (400–1200°C)at incremental increase of50°C each,residence time(30–75min)and bed heights(16–64mm).Changes in the iron ore phases with increase in temperature were supplemented through XRD analysis.3.Results and discussion3.1.Non-isothermal conditionInitially a few experiments are carried out non-isothermally to understand the effect of increasing temperature on the LOI removal.Firstly,some low mass SDTA analysis is done tofind out the temperature when the chemical water starts releasing the hydrated hematite ore.The change in LOI of iron ore sample is observed through the loss of weight at different temperatures using SDTA/TGA as shown in Fig.1.Fig.1shows that the removal of LOI starts at a temperature of 200°C and loses around77%and86%at350°C and500°C,respec-tively.Following this some non-isothermal experiments are car-ried out for high mass system infixed bed.Here,temperature is increased in step wise fashion and the sample is soaked for 30min at each temperature.Fig.2shows the cumulative loss with increase in temperature taken with different bed depths.In this case the sample is contin-uously roasted at temperatures ranging from200°C to1200°C with incremental increase of50°C at different bed depths(16–64mm)for a residence time of30min at each temperature.In these experiments the sample is loaded once in the beginning and not changed after each observed temperature to know the cumulative removal of LOI.Similar experiments are carried out for different bed depths.It is observed that LOI removal follows S-shaped curve.Initially up to300°C,the LOI removal is insignifi-cant and thereafter there is a steep rise in LOI removal to around 90%at temperature of700°C for all depths of bed.Subsequently, the LOI removal almost comes to standstill with increasing tem-perature in irrespective of depth.In respect to bed depth,initial percentage of removal of LOI shifts towards higher temperature with increase of bed depth in the range of400°C to700°C.This is in contrast to observe in low mass TGA experiments where LOI is removed at low temperature between250°C and350°C.The shift in temperature range between low(around36mg in TGA) and high(1000g in experiment)mass experiments may be attrib-uted to decrease in specific reaction surface area for large mass sample.In fact,the reaction surface area(cross section of the bed)remains the same irrespective of the mass in the bed.There-fore,higher temperature is required to enhance the surface reac-tion rate to compensate for the reduction in reaction rate due to lower specific surface area for larger mass infixed bed.While theTable1Mineralogical constituents of thesample.Details Sample(wt.%)Hematite44.96Goethite47.41Kaolinite 6.5Gibbsite0.9Quartzite0.11032P.C.Beuria et al./International Journal of Mining Science and Technology27(2017)1031–1036TGA experiments indicate the actual range of temperatures for LOI removal for low mass,the fixed bed experiments indicate the actual furnace temperature required for larger mass experiments in fixed bed.Moreover,LOI of the iron ore sample is 5.46%and as the sample contains around 6.5%kaolinite,total LOI cannot be removed at lower temperature,because kaolinite needs more time to release its water molecule from its matrix after 850°C.The LOI released by this process at lower temperature is mostly from goethite and gibbsite minerals.3.2.Isothermal conditionIn these experiments fresh samples are taken for each temper-ature and roasted isothermally from 400°C to 1200°C in 50°C interval with a variation of bed depth from 16mm to 64mm and residence time from 30min to 75min.In this condition the removal of LOI with respect bed depth and residence time were studied and analyzed.3.2.1.Mineralogy at different temperaturesQuantitative mineralogy by XRD analysis have been carried out on the bulk sample and after thermal decomposition at 400°C and700°C.The results are shown in Fig.3a–c.As per the mineralogical analysis,major minerals in the bulk sample are hematite,goethite,gibbisite,kaolinite and quartzite.It is also observed that hydrated minerals (gibbsite,goethite and kaolinite)peak gradually vanishes by increasing the temperature.Most of the LOI removal takes place within 700°C.Goethite converts to hematite [10],which is indi-cated by increase in hematite peaks at the expense of goethite peaks with increase in temperature,gibbsite changes over to alu-mina and kaolinite matrix breaks into silica and alumina after releasing the hydrated molecule,gibbsite and kaolinite goes to amorphous phase and they do not appear in the XRD analysis after conversion [11].3.2.2.Effect of bed depthFig.4shows the effect of bed depth on the removal of LOI with for 45min residence time.Rate of LOI removal depends on the bed depth in fixed bed system.Bed depth reduces the kinetic of LOI removal because of lower specific reaction surface area for deeper bed.For the lowest bed depth (16mm)removal of almost all LOI is found to be possible at 1050°C;whereas for highest bed depth (64mm)it is only 81%with a minimum residence time of 30min.At temperature of 900°C,80%of LOI could be removed;whereas at 1200°C,more than 90%LOI can be removed even at higher bed depth of 64mm.Finally it is observed that beyond a certain critical bed depth (16mm),100%removal of LOI is not found possible even at higher temperature and higher residence time.3.2.3.Effect of residence timeThe pattern of variations of LOI reduction with temperature at different residence times is shown in Fig.5.Four residence times viz.30,45,60and 75min are considered in fixed bed system in a bed depth of 16mm over the temperature range of 400–1200°C.It is observed that the percentage of removal of LOI is more with higher residence time at particular bed depth and tem-perature.For example,at 400°C,while the removal of LOI is less than 20%for residence time of 30min,it is around 70%for 75min residence.However,the effect of residence time diminishes at higher temperature.For example,at 900°C,variation of resi-dence time between 30min and 75min,only enhance the LOI removal from 91%to 96%.The study further indicates that since maximum LOI in the sample is contributed by goethite,which releases its water molecule from its matrix from 300°C onwards,maximum LOI gets removed prior to 850°C,beyond which kaolin-ite start releasing its water content.3.3.Kinetic analysisThe rate determining step in any solid-phase reaction can be evaluated either diffusion or chemical reaction process [4,12].In these two fundamental processes,surface diffusion rapidly coats the surface of the reacting particle with a continuous product layer.Another approach is also to consider that there is nucleation of products active sites [13,14].According to the above statements,kinetic functions f (a )have been classified into three groups:the diffusion,the chemical reaction,and the nucleation model.Several mechanisms of the solid state transformation of goethite to hema-tite have been reported.It has been reported that thermal decom-position of goethite directly converts to hematite without any intermediate phase during transformation [15,8].Wolska hasTable 2Chemical analysis of the sample (%).Details Fe Al 2O 3SiO 2CaO K 2O MgO MnO 2P 2O 5TiO 2Na 2O LOI Sample61.272.953.130.0540.0230.0710.0630.2130.1140.0845.46Table 3Size analysis of the sample.Size (l m)Sample (wt.%)+1002.97À100+759.80À75+4522.97À4564.26Fig.1.SDTA analysis ofsample.Fig.2.Cumulative removal of LOI with temperature at different bed height.P.C.Beuria et al./International Journal of Mining Science and Technology 27(2017)1031–10361033reported that goethite transforms into protohematite,then into hydrohematite and finally into hematite with increasing of tem-perature during thermal decomposition [16].Even Ozdemir and Dunlop found that small amounts of magnetite were formed in intermediate phase during phase transform from goethite and hematite [17].Diamandescu et al.established that the solid state reaction of goethite to hematite as a first order reaction controlled by nucleation process in isothermal process [18].The thermal transformation mechanism was studied by Fan et al.,to evaluate maximum decomposition degree under non-isothermal conditions and supported by microstructural evidence [19].The fraction decomposed (a )versus time for different tempera-ture values are presented in Fig.6for 16mm bed depth.The curves show the characteristics of sigmoidal curve as generalized a -t plot,but since the data are collected after 5min interval,initial reaction and induction period covers within this time,especially at higher temperature;whereas acceleratory period,point of inflection,decelerator period and completion of the reaction are visible in Fig.6.The maximum decomposition of 67%(a =0.67)is possible at a temperature of 400°C for residence time of 75min;whereas at higher temperature of 800°C,thermal decomposition are 83%(a =0.83)and 89%(a =0.89)for residence time of 30min and 75min,respectively.Further,the rate of decomposition for different temperature as a function of time is calculated.A typical graphical representation of d a /d t versus time at different temperatures for 16mm bed depth is shown in Fig.7.It can be assessed that rate of decomposi-tion is more at high temperature and reduces with time.In case of low temperature,the rate decomposition remains almost constant throughout the residence time because of deficiency of required enthalpy during the decomposition.The above data are further kinetically treated and analyzed to determine the controlling mechanism and underlying equations.To study the kinetics on the rate of removal of LOI from hydrated iron ore,most of the isothermal kinetics for solid state reactions is analysed.The raw data are modified to give fractional decomposition of LOI (a ),and subsequently to obtain various func-tional forms of a ,and their plots against reduced time,t /t 0.5to determine the reaction kinetics.Various isothermal kinetics for solid state reduction considered in the present study are presented in Table 4.In Table 4,D 1(a )to D 4(a )represent the cases where rate is controlled by diffusion,while F 1(a ),R 2(a )and R 3(a )represent the situation where rate mechanism follows chemical kinetics.The A 2(a ),A 3(a )represents cases where fractional reaction follows a sigmoidal variation with time,which is controlled by nucleation and growth that is mixed controlled.Table 5makes a summary of kinetic equations that best fit the experimental data with corre-lation coefficients for various temperatures and depth of thebed.Fig.3.XRD analysis of sample with 16mm beddepth.Fig.4.LOI removal with temperature at different bed depth at 30min.residencetime.Fig. 5.LOI removal of with temperature with 16mm bed depth at different residencetimes.Fig.6.Variation of thermal decomposition with time and temperature for 16mm beddepth.Fig.7.Rate of thermal decomposition with time for 16mm bed height.1034P.C.Beuria et al./International Journal of Mining Science and Technology 27(2017)1031–1036Fig.8depicts a typical representation of the various bestfit lines through the data points when various functions of a(controlling process)is plotted against reduced time for depth of32mm and 500°C.Similarly,the data generated for other conditions of varying bed depths and temperatures are given in Table5.From Table5,it is observed that decomposition and removal of LOI mostly follows F1(a),R2(a)and R3(a)equations and in some cases at higher tem-peratures,A2(a)indicating decomposition of LOI is mostly gov-erned by chemical kinetics with random nucleation.Halikia et al.have studied thermal decomposition of various other minerals like magnesium hydroxide and calcium carbonate, and predicted the bestfit model for solid-state reaction utilizing thermo gravimetric data,are chemical kinetics,viz.F1(a)and R2(a)and R3(a)[12,13].Goss investigated the kinetics and reaction mechanism for conversion through TG,TEM and XRD analysis and estimated the range of activation energy of goethite and found that the reaction is controlled by R2(a),i.e.,chemical kinetics[8].Dia-mandescu et al.reported F1,i.e.,first order decay law bestfit the transformation of goethite to hematite[18].All the above experi-ments point to the fact that decomposition reactions follow the chemical kinetics,which is also observed in the present study.It may also be noted that all the investigations were made taking low mass and without varying the bed height in afixed bed for practical application in industries.The present experiments have been carried out for higher bed depth.However,up to64mm bed depth and even at high temperature of850°C,the reaction kinetics for LOI decomposition remains primarily controlled by chemical kinetics.Activation energy values are also estimated to confirm the influ-ence of chemical kinetics.These values are estimated using Arrhe-nius plots(Fig.9).Estimated activation energy values for different bed depths and are presented in Table6.The activation energy values estimated for all the bed depths are found to be around60kJ/mol.These higher activation energy values reinstates that the chemical kinetics indeed controls the dehydration reaction up to64mm bed depth and900°C.The acti-vation energy during the transformation of goethite to hematite has been well documented by many researchers.Lima-de-Faria found that the activation energy for a crushed single crystal goethite is82.8kJ/mol[20].Pollack et al.quoted121±13kJ/mol activation energies of two natural limonite(amorphous goethite) [5].Thrierr-Sorel et al.,reported an activation energy of88kJ/mol for afibrous goethite[6].Keller also gave activation energies in the range of96–167kJ/mol for different variety of goethite types[7].Table4a-functions for most commonly used solid-state reaction processes(a represents fractional reaction,and k,trepresent rate constant and time,respectively).Rate controlling process Kinetic equationDiffusion,one dimensional D1(a):a2=ktDiffusion,two dimensional D2(a):(1Àa)ln(1Àa)+a=ktDiffusion,three dimensional(spherical symmetry)D3(a):[1À(1Àa)1/3]2=ktDiffusion,three dimensional(contracting sphere model)D4(a):1À(2/3)a(1Àa)2/3=ktMoving phase boundary,two dimensional R2(a):1À(1Àa)1/2=ktMoving phase boundary,three dimensional R3(a):1À(1Àa)1/3=ktRandom nucleation,two dimensional A2(a):[Àln(1Àa)]1/2=ktRandom nucleation,three dimensional A3(a):[Àln(1Àa)]1/3=ktRandom nucleation,first order decay law F1(a):Àln(1Àa)=ktTable5Various a-functions thatfit the present experimental data for different bed depths and temperature.Temperature and bed depth16mm32mm48mm64mm400°C F1(a):(R2=0.9987)F1(a):(R2=0.9964)F1(a):(R2=0.9967)F1(a):(R2=0.9957)R2(a):(R2=0.9983)R2(a):(R2=0.9959)R2(a):(R2=0.9962)R2(a):(R2=0.995)R3(a):(R2=0.9985)R3(a):(R2=0.9962)R3(a):(R2=0.9964)R3(a):(R2=0.9953) 450°C F1(a):(R2=0.9988)F1(a):(R2=0.9987)F1(a):(R2=0.9987)F1(a):(R2=0.9978)R2(a):(R2=0.9992)R2(a):(R2=0.9994)R2(a):(R2=0.9983)R2(a):(R2=0.9978)R3(a):(R2=0.9993)R3(a):(R2=0.9993)R3(a):(R2=0.9985)R3(a):(R2=0.9978) 500°C F1(a):(R2=0.992)F1(a):(R2=0.9982)F1(a):(R2=0.995)F1(a):(R2=0.9873)R2(a):(R2=0.9984)R2(a):(R2=0.998)R2(a):(R2=0.9905)R2(a):(R2=0.9893)R3(a):(R2=0.9968)R3(a):(R2=0.9959)R3(a):(R2=0.9927)R3(a):(R2=0.99) 550°C F1(a):(R2=0.9925)F1(a):(R2=0.9882)F1(a):(R2=0.9946)F1(a):(R2=0.9762)R2(a):(R2=0.9991)R2(a):(R2=0.998)R2(a):(R2=0.9973)R2(a):(R2=0.9826)R3(a):(R2=0.9976)R3(a):(R2=0.9959)R3(a):(R2=0.9971)R3(a):(R2=0.9806) 600°C F1(a):(R2=0.9984)F1(a):(R2=0.9858)F1(a):(R2=0.989)F1(a):(R2=0.9926)R2(a):(R2=0.9976)R2(a):(R2=0.9813)R2(a):(R2=0.9886)R2(a):(R2=0.9983)R3(a):(R2=0.995)R3(a):(R2=0.9837)R3(a):(R2=0.9894)R3(a):(R2=0.9968)A2(a):(R2=0.9784)650°C F1(a):(R2=0.9786)F1(a):(R2=0.9829)F1(a):(R2=0.989)F1(a):(R2=0.9949)R2(a):(R2=0.9964)R2(a):(R2=0.9974)R2(a):(R2=0.9986)R2(a):(R2=0.9926)R3(a):(R2=0.992)R3(a):(R2=0.9939)R3(a):(R2=0.9964)R3(a):(R2=0.9944)A2(a):(R2=0.9602)700°C F1(a):(R2=0.974)F1(a):(R2=0.9785)F1(a):(R2=0.9825)F1(a):(R2=0.979)R2(a):(R2=0.9958)R2(a):(R2=0.9953)R2(a):(R2=0.9966)R2(a):(R2=0.9751)R3(a):(R2=0.9906)R3(a):(R2=0.9912)R3(a):(R2=0.9931)R3(a):(R2=0.9776)A2(a):(R2=0.9737)A2(a):(R2=0.9696)750°C F1(a):(R2=0.9649)F1(a):(R2=0.9606)F1(a):(R2=0.9772)F1(a):(R2=0.9663)R2(a):(R2=0.994)R2(a):(R2=0.9676)R2(a):(R2=0.995)R2(a):(R2=0.9869)R3(a):(R2=0.987)R3(a):(R2=0.9574)R3(a):(R2=0.9906)R3(a):(R2=0.9814)A2(a):(R2=0.9753)A2(a):(R2=0.9603) 800°C R2(a):(R2=0.995)R2(a):(R2=0.9932)F1(a):(R2=0.9741)F1(a):(R2=0.9776)R3(a):(R2=0.998)R3(a):(R2=0.9857)R2(a):(R2=0.9956)R2(a):(R2=0.9958)A2(a):(R2=0.978)A2(a):(R2=0.9761)R3(a):(R2=0.9904)R3(a):(R2=0.9908)A2(a):(R2=0.9695)A2(a):(R2=0.9709) P.C.Beuria et al./International Journal of Mining Science and Technology27(2017)1031–10361035Goss reported the activation energy of 154±15kJ/mol for the sedimentary goethite [8].Prasad et al.examined the in-situ FTIR study on dehydration of natural graphite and reported that activa-tion energies for natural goethite samples from Karnataka are 103kJ/mol and 85kJ/mol [9].Therefore,the present estimated activation energy values are found to be in tune with the literature data.Slightly lower value in the present study may be attributed naturally occurring ore having 47%of goethite is being considered in the present study in contrast to synthetic goethetic mostly reported in literature.Besides,the mass of the bed is also higher in the present study.4.Conclusions(1)The reduction of LOI from a fixed bed is prominent in thetemperature range of 300–700°C due to the release of water molecule by goethite and gibbsite from their matrix.(2)Since the kaolinite releases its matrix moisture at 850°C,more temperature and residence time is required for sample containing kaolinite along with goethite and gibbsite for maximum removal of LOI.(3)The extent of LOI removal decreases with increase in beddepth and decrease in residence time.Effect of residence time is found to be prominent at comparatively lower tem-perature.Beyond a certain critical bed depth (16mm),100%removal of LOI is not found to be possible even at higher temperature and higher residence time.(4)The rate of thermal decomposition of hydrated iron ore ismore for initial stages and reduces thereafter for tempera-tures more than 500°C,whereas it remains more or less con-stant for temperature below 500°C.(5)Kinetics of thermal decomposition of hydrated minerals inhematite has been studied through various a functions against reduced time plot.Thermal decomposition at all bed depths up to 64mm and temperatures up to 900°C,fol-lowed a -functions for chemical kinetics.The activation energy values calculated for all cases for various bed depths and temperatures in the present study are found to be more than 60kJ/mol,reinstating the role of chemical kinetics.(6)It is found that temperature required to remove LOIincreases with increase in mass in the fixed bed,which is attributed to the lower specific surface area for high mass fixed bed samples,where surface reaction controls the over-all reaction.AcknowledgmentsThe authors are very much thankful to Ministry of Steel –India,New Delhi for sponsoring the program to carry out the research work.References[1]Das SK,Das B,Saktivel R,Mishra BK.Mineralogy,microstructure,and chemicalcompositions of goethites in some iron ore deposits of Orissa,India.Miner Process Extr Metall Rev 2010;31(2):7–110.[2]Mishra BK,Das B,Prakash S,Das SK,Biswal SK,Reddy PSR.Issues relatingcharacterization and beneficiation of low grade iron ore.Steel World 2007:34–7.[3]Biswal SK.Utilization of low grade iron ore fines,slimes and tailings byphysical beneficiation to minimize the waste generation.J Sustain Planet 2010:46–58.[4]Bamford CH,Tipper CFH,prehensive chemical kinetics.TheNetherlands:Elsevier Scientific Publishing Corporation;1980.[5]Pollack JB,Pitman D,Khare N,Sagan C.Goethite on Mars:a laboratory study ofphysically and chemically bound water in 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?Fe 2O 3.Mater Chem Phys 1997;48(2):170–3.[19]Fan H,Song B,Li Q.Thermal behaviour of goethite during transformation tohematite.Mater Chem Phys 2006;98:148–53.[20]Lima-de-Faria J.Dehydration of goethite and diaspore.Zeitschrift furKristallographie1963;119:176–203.Fig.8.Best fit lines for various a -functions at 500°C and 32mm beddepth.Fig.9.Arrhenius plot for 16mm bed depth.Table 6Activation energy values estimated for various bed depths using Arrhenius plot.Bed depth (mm)Slope =ÀEa /R Ea =Activation energy (kJ/mol)16À7.907565.7432À7.790264.7748À7.343661.0564À7.065058.741036P.C.Beuria et al./International Journal of Mining Science and Technology 27(2017)1031–1036。