Minerals Engineering 18 (2005) 1259–1268 This article is also available online at: www.elsevier.com/locate/mineng
The influence of microwaves on the leaching kinetics of chalcopyrite M. Al-Harahsheh a
a,*
, S. Kingman a, N. Hankins a, C. Somerfield a, S. Bradshaw b, W. Louw c
School of Chemical, Environmental and Mining Engineering, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom b Department of Process Engineering, University of Stellenbosch, Stellenbosch 7602, South Africa c Department of Electronic Engineering, University of Stellenbosch, Stellenbosch 7602, South Africa Received 20 April 2005; accepted 11 June 2005 Available online 2 August 2005
Abstract The influence of microwave heating on the leaching kinetics of chalcopyrite has been investigated. Microwave-assisted leaching has been investigated in an attempt to improve the yields of extracted metal and reduce processing time. This is especially pertinent in view of the increased demand for more environmentally friendly processes. The data from both microwave and standard leaching tests were best fitted by a shrinking core model in which, the surface reaction controlled the rate. It was found that the activation energy calculated for microwave leaching (76.5 kJ/mole) as calculated from the data was slightly lower than that for standard leaching (79.5 kJ/mole): however, the difference lies within the limits of experimental error. Enhanced recovery of copper was noted for samples leached within the microwave field. Previous work has suggested that this may be due to a ‘‘microwave effect’’. For the first time this work proves that higher recoveries in microwave systems occur as a result of selective heating of the mineral particle over the solution. It is postulated that the reaction interface has a higher temperature than that of the bulk solution, leading to a higher reaction rate. In addition, it is suggested that high loss leaching solutions will develop a superheated layer close to the periphery of the reaction vessel (due to the small penetration depth) which creates localised heating compared with the measured bulk solution temperature. If leaching takes place within this layer, an apparent rate increase will be noted with respect to the measured bulk temperature. 2005 Elsevier Ltd. All rights reserved. Keywords: Hydrometallurgy; Leaching; Oxidation; Reaction kinetics
1. Introduction The positive influence of microwaves on various processing technologies has been widely reported in the literature (Haque, 1987; Marland et al., 2000; Rowson and Rice, 1990). In mineral processing and extractive
*
Corresponding author. Tel.: +44 776 651 6559. E-mail addresses:
[email protected], yahoo.com (M. Al-Harahsheh).
harahshehm@
0892-6875/$ - see front matter 2005 Elsevier Ltd. All rights reserved. doi:10.1016/j.mineng.2005.06.006
metallurgy, microwaves have been of particular interest for several reasons. The main drivers are to reduce processing cost and process time, and to increase the recovery of metal values. The extraction of copper from chalcopyrite is mainly carried out using reverberatory furnace techniques or using flash smelting technologies. Interest in hydrometallurgy has risen recently due to the current urgency to protect the environment from sulphur dioxide emissions. These occur whenever metal values are extracted from sulphide minerals by pyrometallurgical operations. However, leaching of chalcopyrite
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using the most common oxidants, such as ferric sulphate and ferric chloride, is a very slow process. Therefore, several studies have been conducted in an attempt to increase reaction rates. Several techniques have been used to increase the reactivity of chalcopyrite such as: organic extracting additions, sulfidizing chalcopyrite activation, mechanical activation, the use of ozone as an oxidant (Havlik and Ukasik, 2001), use of promoters (silver ions, surfactants, carbon particles, iron powder or hematite) (Dutrizac, 1989b; Havlik and Kammel, 1995; Hiroyoshi et al., 2000). The application of microwaves to enhance the leaching kinetics of chalcopyrite has been reported recently (Antonucci and Correa, 1995; Bradshaw and Beckmann, 1998; Harrison, 1997; Havlik et al., 2002; Lovas et al., 2003; Weian, 1997; Yianatos and Antonucci, 2001). A review paper has recently been published by Al-Harahsheh and Kingman (2004) which discussed the recent findings of many research studies in the microwave leaching of chalcopyrite. It was concluded that there is great disagreement with respect to the influence of microwaves on hydrometallurgical systems and there is no clear explanation of the reason behind the higher recovery of the metal value during microwave leaching compared to that of conventional leaching. The aim of this work is to investigate the influence of microwaves on the leaching kinetics of chalcopyrite in ferric sulphate and to demonstrate the reasons for the enhancement of copper recovery during microwave leaching.
2. Microwave heating Microwave energy is a form of electromagnetic energy, which travels in high frequency waves. Microwave wavelengths lie between 1 mm and 1 m with corresponding frequencies between 300 MHz and 300 GHz. The most commonly used frequencies for heating purposes are 915 MHz and 2.45 GHz, which correspond to wavelengths of 33.5 and 12.2 cm, respectively. These frequencies were chosen by international agreement in order to minimize the interference with microwave communication signals (Meredith, 1998). Microwave heating of dielectric materials arises from the ability of the electric field to polarize the charge of the material in cases where polarization cannot follow the rapid change of the electric field (Metaxas and Meredith, 1983). Orientation polarization is the most important mechanism at microwave frequency because the time scale of electron and atomic polarizations is much faster than microwave frequencies. Therefore, these effects do not contribute to dielectric heating (Mingos and Baghurst, 1991). When applying microwave irradiation to the material, the electric and magnetic components are
changing rapidly (2.4 · 109 s1) and the molecules cannot respond quickly to the change in direction due to friction, causing them to warm up (Galema, 1997). Ionic conduction is another important microwave heating mechanism. When a microwave field is applied to a solution containing ions, they move due to their inherent charge. As a result, ions collide and the collisions cause the conversion of kinetic energy into thermal energy. As the concentration of ions increases in solution, more collisions are expected, causing the solution to heat faster (Schaefer, 1999). Furthermore, the introduction of ions into water has a significant effect on its dielectric properties and structure, which therefore affect its heating characteristics in microwave field. An increase in ionic concentration in water reduces its permittivity by a few percent, whereas, the loss factor increases significantly (Hasted, 1973; Meredith, 1998). In terms of energy dissipation in aqueous salt solutions, there are two processes leading to dielectric heating. These are the dipolar relaxation due to the relaxation of water molecules and the ionic shift responsible for Joule heating (Gabriel et al., 1998). Therefore, the introduction of ions into water leads to a marked effect on the heating rate. Depending on the response to microwave heating, materials can be classified into three groups with respect to the interaction with microwave field: transparent or low loss materials where microwaves pass through without any losses; conductors which reflect microwaves without any penetration; and absorbing or high loss materials, which absorb microwaves and dissipate them into heat depending on the value of the dielectric loss factor. There is a fourth category of materials when a material contains two or more phases with different dielectric properties. In this case microwaves can selectively heat the high loss phase, passing through the low loss phase without significant losses. Dielectric constant (e 0 ) and dielectric loss factor (e00 ) are used to express the dielectric response of materials in a microwave field. The first measures the ability of the material to store microwave energy. In other words, it is the ability of the material to be polarized. The latter measures the ability of the material to dissipate the stored energy into heat (Metaxas and Meredith, 1983). They are expressed in terms of the complex dielectric constant (e*): e ¼ e0 ie00 .
ð1Þ
Loss tangent provides an indication of how well the material can be penetrated by an electric field and how it dissipates energy into heat: tan d ¼
e00 . e0
ð2Þ
Penetration depth (Dp) is the distance from the material surface at which the absorbed power falls to 1/e of the absorbed power at the surface. Penetration depth
M. Al-Harahsheh et al. / Minerals Engineering 18 (2005) 1259–1268
is inversely proportional to frequency, whereas the greatest heating is achieved at high frequencies. For example, the greatest heating for water occurs at 18 GHz where dielectric loss factor is at its maximum value. However, the penetration depth (Dp) at such frequencies is so low that only a thin layer of the material will heat (Metaxas and Meredith, 1983; Mingos and Baghurst, 1991). Dp is given by c Dp ¼ ð3Þ i1=2 ; ffi pffiffiffiffiffiffihpffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2pf 2e0 1 þ tan2 d 1 where f is microwave frequency, Hz, and C is the speed of light, m/s. 3. Conventional leaching of chalcopyrite in ferric sulphate Several investigators have studied the leaching of chalcopyrite in ferric sulphate (Dutrizac, 1978, 1981, 1989a; Dutrizac et al., 1969; Hackl et al., 1995; Hirato et al., 1987; Hiroyoshi et al., 1997, 2001; Munoz et al., 1979; Tiwari et al., 1980). The attractiveness of this system is principally due to the fact that it is a low cost process coupled with minimal corrosion problems. In addition, most of the oxidized sulphur from the sulphide reports as elemental sulphur. However, the main disadvantage is the slow reaction kinetics. The principal reaction, which describes the leaching of chalcopyrite, was confirmed (Dutrizac, 1981, 1989a; Munoz et al., 1979) as CuFeS2 + 2Fe2 (SO4 )3 ! CuSO4 + 5FeSO4 + 2S0
ðIÞ
The reaction mechanism of chalcopyrite oxidation in ferric sulphate has been a subject of great debate in the literature and widely different interpretations of kinetic data can be found. Some researchers claim that the diffusion of either ferric or ferrous ions through the sulphur layer is the rate-limiting step (Baur et al., 1974; Beckstead et al., 1976; Dutrizac et al., 1969). Others have reported that the reaction is limited by surface chemical reaction (Havlik et al., 2001; Hirato et al., 1987) while some reports show that electrochemical or electron transfer is the limiting step (Jones and Peters, 1976; Munoz et al., 1979; Parker et al., 1981). Electron transfer could occur through a series of sequential steps, in which, disulphide is oxidized by ferric ions with incorporation of the oxygen from water (Parker et al., 2003). The reported activation energy of the reaction (Ea) varies between 65 and 88 kJ/mole. Scatter in the results may be attributed to the method of calculation especially when the conversion is far from unity. This latter can lead to an error in determining the rate-limiting step and therefore an incorrect calculation of the apparent rate constant and Ea (Prosser, 1996). Other possible factors that could affect the uncertainty of Ea are the presence of impurities, such as galena, which could cause a
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precipitation of lead sulphate on the surface, and the presence of additional unaccounted components in the solid. These could consume reactants or cause errors in mass accounting, and therefore affect the rate constants. Further details regarding the uncertainty in evaluating the activation energy are discussed by Prosser (1996). In the current paper and for the purpose of simplicity and clarity, the kinetic data produced in this work were compared for microwave and standard leaching. However, other tests carried out under conventional conditions are not presented here, since the results were found to be in general agreement with the data reported in the literature (Dutrizac, 1982; Dutrizac et al., 1969; Jones and Peters, 1976). Furthermore, the discrepancies among the interpretation of results for standard leaching will not be discussed any further in the current work. Rather it is focused on the influence of microwaves.
4. Experimental The chalcopyrite used in this study was in the form of natural crystals obtained from Gregory, Bottley & Lloyd, UK. Apart from chalcopyrite, the crystals contained small sphalerite crystals (0.5–5 mm) and quartz. Chalcopyrite was prepared from these crystals by careful hand grinding, and separation of sphalerite and quartz, which was achieved using a hand magnifier. The careful hand cleaning was continued until the size of particles reached 100% passing 1 mm. Chalcopyrite was then ground down to 100% passing 106 lm. The sample was subsequently divided into the following size fractions using wet sieving: 106 + 75, 75 + 53, 53 + 38 and 38 lm. After being washed with acetone, the fractions were collected on a filter paper using a vacuum filter. They were then dried in a vacuum dryer at 30 C. Each size fraction was then divided into small batches of about 5 g, and stored in a vacuum desiccator. The chemical composition of chalcopyrite was determined by microwave total digestion of samples from each size fraction. The solution from total digestion was then analysed using Inductively Coupled Plasma Atomic Emission Spectrometer (ICP-AES). The average chemical composition of chalcopyrite is given in Table 1. Conventional leaching experiments were carried out in a 500 ml round-bottomed reaction vessel with a five neck lid. The reaction vessel was immersed in a Table 1 Average chemical composition of chalcopyrite crystals Particle size range (lm)
Copper (%)
Iron (%)
Sulphur (%)
Zinc (%)
<38 38–53 53–75 75–106
33.5 ± 0.3 33.9 ± 0.2 34.0 ± 0.3 33.5 ± 0.4
29.6 ± 0.2 30.3 ± 0.2 30.1 ± 0.2 29.3 ± 0.4
35.0 ± 0.5 35.6 ± 0.1 35.4 ± 0.5 34.0 ± 0.5
0.1 ± 0.0 0.1 ± 0.0 0.1 ± 0.0 0.1 ± 0.0
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thermostatic water bath which controlled the temperature of the solution in the vessel within ±1 C. The starting volume of the leaching solution was 250 ml. It consisted of 0.5 M sulphuric acid and 0.25 M of ferric sulphate. All chemicals used were analytical grade reagents, and water was MilliQ ultrapure. One gram of chalcopyrite, with the required particle size, was added to the leaching solution after the leaching temperature had been reached. Agitation was applied to suspend the particles and prevent their caking and to eliminate any possible gross solution inhomogeneities. Small volumes of samples (2 ml) were taken periodically by pipette for chemical analysis. Microwave leaching experiments were carried out in Microwave Accelerated Reaction Systems apparatus, Model MARS X. This system was designed mainly for laboratory use in extracting, digesting, hydrolysing or drying wide a range of materials. It delivers three levels of full microwave power; 300, 600 and 1200 W at a frequency of 2450 MHz. Each power level can be used as full (100%) power or as a percentage thereof. A fibre optic temperature sensor incorporated into the system through a microcomputer monitored and controlled the set temperature. Additionally, three levels of magnetic stirring and turntable were supplied to minimise electric field patterns inhomogeniety. A microwave-transparent and chemically resistant PTFE vessel was used as a leaching vessel. These characteristics make MARS X ideal for use as a leaching apparatus. To carry out leaching at constant temperature with minimal switching on/off of microwave power, a specific percentage of 300 W was used for each temperature. Furthermore, experiments were carried out in the control vessel only because the fibre optic temperature sensor is incorporated solely in this vessel. The heating parameters used during different microwave leaching experiments are shown in Table 2. Using this procedure, the power applied is just enough to keep the temperature constant with a minimum switching microwave power on and off. A volume of 50 ml was first heated in the microwave field in order to reach the designated leaching temperature, and then a mass of 0.2 g of a closely sized chalcopyrite was added to the solution. The sample was
Table 2 Heating parameters used during microwave leaching (power level 300 W) Required leaching temperature (C)
Power used (%)
50 60 70 80 90
2 3 4 5 7
leached with continuous microwave energy for a set time, and then samples were taken for Cu analysis. The sampling procedure was the same as used for standard leaching conditions. However, after each sampling time a new solution with a new chalcopyrite sample was used to avoid the effect of changes in time and temperature during the removal of the leaching vessel for sampling. Copper was analysed by ICP-AES.
5. Results 5.1. Conventional leaching The effects of temperature and particle size were investigated under conventional leaching conditions. 5.1.1. The effect of temperature on the leaching rate To investigate the effect of temperature upon leaching rate, particles with a size of <38 lm were leached at a temperature ranging from 50 to 90 C in steps of 10 C. Experimental results are shown in Fig. 1 as the fraction of copper released versus time. The data presented here is an average of two or three test replicates, with a relative standard deviation of less than 5%. It was found that the rate of copper release into solution was highly temperature dependant. At a temperature of 50 C only 1.1% of copper was extracted in 3 h of leaching time, whereas 13.5% was recovered at a temperature of 90 C after the same period of time. When various shrinking core models were tested, these relating to different types of limiting step, plots of the data in appropriate form yielded straight lines with good correlation coefficients. For example, a model in which the rate-limiting step corresponded to diffusion through the sulphur product layer yielded a highly linear plot with correlation coefficients higher than 0.98. A difficulty arises in data interpretation, however, because the highest conversion of chalcopyrite (X) was less than 15% (for conventional leaching). This means that it is very difficult to distinguish between the different forms of the model: all yield quasi-linear plots over the small range in X. Furthermore, electron microscopy analysis was carried out, in which, it was found that the residual chalcopyrite particles were almost free of sulphur deposition (with the exception of some isolated islands and planes). Diffusion control is thus dismissed as a rate-limiting step. In view of this, a model involving surface reaction control was instead chosen to describe the kinetic data. This is represented by (Fogler, 2000): 1 ð1 X Þ1=3 ¼ k S t ¼
bkC n M t; qr0
ð4Þ
where, X is fraction of copper reacted, kS is apparent rate constant (min1), t is the leaching time (min). b is
M. Al-Harahsheh et al. / Minerals Engineering 18 (2005) 1259–1268 2.5
0.16 T = 52˚C
0.14
T = 61.5˚C
2
T = 71˚C
0.12
T = 81.4˚C 0.1
104×kS, min-1
Fraction of Cu Reacted
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T = 91˚C
0.08 0.06
1.5
1
0.04
0.5
0.02 0 0
50
100
150
200
0
Leaching time, minutes
0
Fig. 1. The effect of temperature on the conventional leaching of chalcopyrite as a function of time (C Fe2 ðSO4 Þ3 : 0.25 M, particle size: <38 lm).
the stoichiometric factor, k is the intrinsic rate (m/min), C is the liquid reagent molar concentration (mole/m3), n is the reaction order, M is the solid molar mass (kg/ mole), q is the density of solids (kg/m3) and r0 is the initial particle radius (m). The values of 1 (1 X)1/3 as a function of time are plotted in Fig. 2. The apparent rate constants kS were calculated from the slopes of the ‘‘best-fit’’ straight lines. An Arrhenius plot was then drawn, from which an apparent activation energy of 79.5 kJ/mole was determined. 5.1.2. The effect of particle size on the leaching rate The effect of particle size on the leaching rate of chalcopyrite was studied at a temperature of 90 C. Three size fractions were chosen to verify the effect of particle size on the leaching rate. Fig. 3 shows the plot of the apparent rate constant versus the inverse particle size. The linear character of the plot and inspection of Eq. (4) supports the theory that surface chemical reaction was the rate-limiting step.
0.04 0.03 0.02 0.01 0 0
50
100
150
200
Leaching time, minutes Fig. 2. Plot fitted using a shrinkage core model with a limiting step of surface reaction: conversion vs. time data in Fig. 1 at various temperatures.
0.15
0.2
0.25
Fig. 3. Plot of apparent rate constant kS versus the inverse particle size (C Fe2 ðSO4 Þ3 : 0.25 M, temperature: 91 C).
5.2. Microwave leaching 5.2.1. The effect of agitation The effect of agitation on chalcopyrite leaching in microwaves was investigated using 0.25 M ferric sulphate solutions at a temperature 90 C. The results are presented in Fig. 4. When no stirring was applied the copper recovery was up to 10% higher than when stirring was applied. This is contrary to the results obtained for conventional leaching. In the latter case, greater agitation leads to greater mass transfer efficiency, so that diffusion-limiting effects become further reduced and final conversions are higher. This apparent anomaly will be discussed later. 5.2.2. The effect of temperature on the leaching rate The dissolution curves of the microwave leaching of chalcopyrite are shown in Fig. 5. The temperature dependence pattern is similar to that seen in conventional leaching except that the recovery is slightly higher. A shrinking core model in which surface reaction is the rate-limiting step was applied to the data and this
Fraction of Cu reacted, X
1-(1-X)1/3
0.05
0.1
1/r0, µm-1
0.06 T = 52˚C T = 61.5˚C T = 71˚C T = 81.4˚C T = 91˚C
0.05
0.2 0.18 0.16 0.14 0.12 0.1 0.08 0.06 0.04 0.02 0
With agitation Without agitation
0
50
100
150
200
Leaching Time, Minutes Fig. 4. Effect of stirring on the amount of copper extracted during microwave leaching of chalcopyrite (C Fe2 ðSO4 Þ3 : 0.25 M, temperature: 91 C, particle size: <38 lm).
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Fraction of Cu Reacted
0.16
T = 61.4˚C
0.14
T = 70.8˚C
0.12
T = 81˚C
0.1
T = 91.5ºC
0.08 0.06 0.04 0.02 0 0
50
100
150
200
Leaching Time, Minutes Fig. 5. The effect of temperature on microwave leaching of chalcopyrite as a function of time (C Fe2 ðSO4 Þ3 : 0.25 M, particle size: <38 lm).
yielded slightly higher values of apparent rate constants as will be shown latter. The apparent activation energy of microwave leaching of chalcopyrite was found to be 76.5 kJ/mole. 5.2.3. The effect of particle size Chalcopyrite, in various particle size ranges (75–106, 53–75 and 38–53 lm), was used to investigate the effect of particle size on chalcopyrite leaching within a microwave field. Leaching was carried out at a temperature 90 C. The results are presented in Fig. 6. Generally speaking the leaching rate was seen to increase with the decrease of particle size. However, the reproducibility of the results was poor compared to that of <38 lm. Furthermore, there is no clear and unambiguous distinction could be made between the various particle sizes, shown in Fig. 6, in terms of the fraction of copper reacted although the trend could still be seen. In fact, this can be attributed to the specific interaction of microwaves with both the leaching solution and the chalcopyrite as will become clear in following discussion.
similar in terms of temperature control, materials used, sampling and analytical procedures. It is, therefore, reasonable to directly compare the results of microwave and conventional leaching. Fig. 7 shows a comparison between the rate of copper leaching from chalcopyrite crystals in ferric sulphate solution at different temperatures, with and without the influence of microwaves. It clearly demonstrates the positive influence of microwave energy on copper recovery over the range of temperatures used. However, this positive influence is not great as shown in Fig. 7. After 3 h the amount of copper extracted at 90 C is about 17% under microwave conditions compared to 13.5% conventionally. To confirm the reproducibility of the experimental results shown in Figs. 4 and 7, further experiments were carried out using a freshly prepared chalcopyrite sample. A sample with a particle size of <38 lm was prepared from the same chalcopyrite crystal sample used above. The results for microwave and conventional leaching are presented in Table 3. A statistical test, using null hypothesis assuming significance level of 5%, was performed to examine the significance level of the difference in the average values of leaching rates at microwave and standard conditions. The highest value of the standard deviation shown in Table 3 was used to compare the leaching rates. It was found that the difference between them is statistically significant. Therefore, this difference cannot be ignored, which confirms that the slight positive increase in leaching rate has not resulted from an experimental error. The mechanisms by which microwaves interact with a chemically reacting system are still a matter of controversy. Some researchers claim the existence of a microwave effect by which the activation energy can be significantly reduced. Others deny the existence of this microwave effect and explain the tremendous accelera-
5.3. Comparison between conventional and microwave leaching
0.18 Strd@ 52˚C Strd@ 61.5˚C
0.16
Fraction of Cu Reacted
0.018 75-106 µm 38-53 µm 53-75 µm
0.016 0.014 0.012 0.01
Strd@ 71˚C
Fraction of Cu Reacted
Leaching of chalcopyrite in microwaves and under conventional conditions can reasonably be regarded as
[email protected]˚C
0.14
Strd@ 91˚C Micro@51˚C
0.12
Micro@ 61.4˚C
0.1
Micro@ 70.8˚C Micro@ 81˚C
0.08
Micro@ 91.5˚C
0.06 0.04
0.008 0.006
0.02
0.004
0
0.002
0
0 0
20
40
60
80
100
120
140
160
180
200
Leaching Time, Minutes Fig. 6. The effect of particle size on the leaching of chalcopyrite (91 C) in ferric sulphate (0.25 M) as a function of time.
50
100
150
200
Leaching Time, Minutes Fig. 7. Comparison between microwave leaching and conventional leaching of chalcopyrite at various temperatures as a function of time (C Fe2 ðSO4 Þ3 : 0.25 M, particle size: <38 lm).
M. Al-Harahsheh et al. / Minerals Engineering 18 (2005) 1259–1268 Table 3 The reproducibility of the experimental results for conventional and microwave leaching of chalcopyrite (C Fe2 ðSO4 Þ3 : 0.25 M, particle size: <38 lm and 91 C, 3 h) Stirring
Microwave leaching experiments
Conventional leaching experiments
Stirred
Not stirred
400 RPM
Fraction of Cu reacted
0.141 0.156 0.145
0.174 0.169 0.168
0.119 0.121 0.118 0.123
Average Standard deviation %RSD
0.147 0.008
0.170 0.003
0.120 0.002
5.284
1.891
1.848
tion of reaction rate by microwave induced thermal effects or so-called superheating effect. When an Arrhenius plot of microwave and standard leaching of chalcopyrite data in ferric sulphate is compared, it is found that the lines are parallel as shown in Fig. 8. The activation energy determined from the plots for the microwave and the standard leaching cases are 76.5 and 79.5 kJ/mole, respectively, which suggests that there is no influence of microwave radiation on the activation energy of chalcopyrite leaching in ferric sulphate. Moreover the displaced but almost parallel nature of the two lines in Fig. 8 might also suggest that there is a difference between the temperature measured and the actual temperature within the microwave leaching vessel. In other words, the actual temperature at the reaction interface is higher than the temperature measured. When the values of activation energy for microwave and standard leaching conditions were compared based on the standard deviations presented in Table 3, the difference was found to be statistically insignificant. Therefore, one can assume that the variation of activation energy is within the experimental error. Previous studies on the rate of chalcopyrite heating in microwave fields have shown that chalcopyrite heats very rapidly and its temperature can reach up to
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1000 C in a matter of seconds (Harrison, 1997; Walkiewicz et al., 1988). It has also been reported that chalcopyrite behaves as a conductor because its electrical conductivity is about 1000 S/m (Shuey, 1975). Such a high value of conductivity suggests that chalcopyrite particles heat in microwaves by a conduction mechanism or in other words by surface heating. Skin heating occurs when high frequency current flows through a conductor causing eddy currents to flow in the opposite direction. These currents remain confined to the near surface in a thin skin. The skin depth dS is defined as the depth into the conductor from the surface at which the current density is 1/e (=0.368) of its value at the surface (Meredith, 1998). It is given by sffiffiffiffiffiffiffiffiffiffiffi 2 dS ¼ ½m; ð5Þ rxl0 where r is the conductivity, S/m; x is the angular frequency, rad/s (x = 2pf), and l is the permeability of free space (4p · 107 H/m). The value dS calculated for chalcopyrite is about 0.3 mm at a frequency of 2.45 Hz, which is supports the theory that chalcopyrite is heated by conduction within the microwave field. It, therefore, behaves like metal powder when it is exposed to microwave energy. If the surface of the chalcopyrite particles heats faster than the leaching solution, a positive temperature gradient will arise between the liquid and the solid. This gradient will assist the reaction kinetics because the reaction is highly temperature dependant. Additionally, the positive gradient between the liquid and the solid would create thermal currents that possibly would sweep away reaction products from the reaction interface (Huang and Rowson, 2002; Joret et al., 1997). To provide support for the hypothesis of local heating of the chalcopyrite particles, a numerical simulation was performed. In this simulation, a simplified representation of the leaching system was used. A layer of cubic particles, 0.5 mm to a side, was uniformly dispersed in a regular array of 31 · 19 particles, with an inter-particle gap of 2 mm in a fluid layer with dielectric properties as given in Table 4. The particles were modelled as
13 12
Table 4 Dielectric properties and penetration depth of selected solutions
-lnks
11
Material
10 Microwave
8
a
7 6 2.7
T (C)
Standard
9
2.8
2.9 3 1000/T, K-1
3.1
3.2
Fig. 8. Comparison of Arrhenius plots for microwave and conventional leaching.
Distilled water Distilled watera 0.1 M NaCla 0.3 M NaCla 0.5 M NaCla 0.25 M Fe2(SO4)3 in 0.5 M H2SO4b a b
Source: Meredith (1998). Current work.
25 85 25 25 25 24.5
2.5 GHz e0
e00
Dp (cm)
77 56 76 70 68 41
13 3 20 17 54 42
1.3 4.8 0.8 0.9 0.3 0.27
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conductive with surface losses as described above. The fluid layer and particles were assumed to be in a section of WR 284 waveguide with cross section 72 · 34 mm. The layer of particles was 2 mm interior to the leading edge of the fluid layer. The microwave excitation was a sinusoid at 2.45 GHz with amplitude 1 W. A finite difference time domain method was used for the simulation using QuickWave 3d. Electric field and power density plots were observed once the simulation had reached steady state. Fig. 9 shows a plot of the power density taken on the midline of the waveguide. Microwave energy is incident from the right hand side of the figure (x = 20). Spikes in the power density can be seen clearly on either side of all the chalcopyrite particles, and the lowest particle, which is touching the bottom of the metal waveguide, shows the largest power density. Most importantly it can be seen that immediately in front of the particles there is a thin layer in the leaching solution in which the power density is large, while the effect of surface conduction in the particles themselves leads to a power density that is more than double that of the surrounding fluid. This simulation, of an idealised array for particles, demonstrates the differential heating between particles and fluid and also shows the effect of penetration depth on the power dissipation in the fluid volume. On the other hand, water based liquids heat very rapidly in microwave fields, while the microwave penetration depth (Dp) is quite small. For pure water as calculated from the data reported in (Meredith, 1998), Dp is about 1.3 cm at room temperature and 4.8 cm at a temperature of 85 C. Both these figures are calculated at a frequency of 2.5 GHz (see Table 4). However, when NaCl salt is added to water the heating rate increases rapidly, whereas, the penetration depth drops dramatically. For example, the penetration depth of 0.5 M salt solution is about 3.5 mm (the data used for calculating penetration depth is taken from Meredith (1998)).
The leaching solution used for chalcopyrite leaching + contains 0.5 M [Fe3+], 1.0 M [SO2 4 ] and 0.5 M [H ] dissolved in MilliQ water. The conductivity of this solution is expected to be very high. Analogously to the sodium chloride solution mentioned above the penetration depth of the applied ferric sulphate solution is expected to be low as well. If this is the case, most of the microwave power applied will be dissipated in the outer shell of the solution. Knowing that the fibre optic sensor is located in the middle of the vessel, which has a diameter of about 4 cm, there will be always a temperature difference between the temperature sensor location and the outer shell of the leaching solution. In addition, when the solution is stirred the bigger particles tend to move to the outer shell of the vessel. Taking the above two facts one can conclude that either the leaching mixture as a whole system has higher temperature than the bulk temperature or the temperature of the solid particles has a higher temperature than liquid. Indeed, it is possible that both hypotheses operate simultaneously. Whichever is the case, the actual reaction temperature will be higher than the bulk temperature measured. To confirm the idea of skin heating, the dielectric constant and loss factor of the leaching solution (0.25 M Fe2(SO4)3 in 0.5 M H2SO4) where measured using the coaxial probe technique. This technique is described in Metaxas and Meredith (1983) and is well-suited to measurement of high loss materials, such as the leach solutions used in this study. The data is presented in Table 4. The penetration depth was calculated using Eq. (3) and is found to be 2.7 mm at room temperature and 2.5 GHz. The probe was of the flanged type and was developed by Rimbi (2003). Capacitive fringing fields at the end of the probe interrogate the sample material and this is the physical essence of the probe technique. The probe was immersed in the leaching solutions and the S11-parameter was measured over the desired frequency range using an Automatic Network Analyzer (ANA).
Fig. 9. Surface plot of power density in the waveguide system. Surface is at the midpoint of the waveguide.
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The inversion algorithm used to treat the data is based on techniques by Stuchly and Stuchly (1980) and Marcuwitz (1986). Therefore, two factors appear to play a significant role in the leaching kinetics of chalcopyrite. These are the selective heating of the surface of chalcopyrite particles and the penetration depth of microwaves through a high loss leaching solution. The first factor is clearly evident from Fig. 4 where higher recovery of copper was achieved when chalcopyrite was leached without agitation. In this case chalcopyrite is located at the bottom of reaction vessel where all particles are located within the of microwave penetration. So, in spite of the mass transfer limitation in terms of the diffusion of ferric ions through the film layer to the chalcopyrite surface, the conversion is higher. The second factor can be drawn from Fig. 7 where the recovery of copper is higher in the case of microwave leaching for all of the temperature range covered in this study. Furthermore, this positive influence could not be related to a change in the activation energy of the reaction. In addition the almost parallel nature of the Arrhenius plots for both microwave and conventional leaching cases suggests that the reaction temperature in the microwave case is higher than the actual bulk temperature, the latter being measured in the centre point of the reaction vessel.
6. Conclusions The application of microwave heating on chalcopyrite leaching has a positive effect on the reaction kinetics. Although the increase of the copper recovered from chalcopyrite is low under microwave conditions, it is consistently higher than conventional leaching over the temperature range used. Furthermore, the difference between the reaction rates achieved within microwave and standard leaching conditions was found to be statistically significant. However, this influence seems to be of a thermal nature. The increase in copper recovery during microwave leaching is due to a combination of two factors. Primarily, the limitation of microwave penetration through a high loss leaching solution which causes a temperature difference between the outer shell of the leaching solution and the bulk temperature measured and the actual temperature. This is evident from the parallel nature of the Arrhenius plot and the similar values of apparent activation energy for both microwave and conventional leaching conditions, suggesting that microwave energy has no effect on the intrinsic leaching mechanism. Secondly, the selective heating to chalcopyrite in such a high loss leaching solution potentially explains the higher copper recovery under microwave conditions, which is demonstrated by the higher recovery of copper
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when no agitation was applied. In addition, this is supported by the high conductivity of chalcopyrite, which causes chalcopyrite to heat mainly by conduction.
Acknowledgments The authors are please to acknowledge the Electroheat group at the University of Stellenbosch for their help in measuring the dielectric properties of ferric sulphate solution, the Royal Academy of Engineering for their award toward the cost to attend Bio&Hydromet05 and Al-Hussein Bin Talal University for the PhD Sponsorship to Al-Harahsheh.
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