<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">OJG</journal-id><journal-title-group><journal-title>Open Journal of Geology</journal-title></journal-title-group><issn pub-type="epub">2161-7570</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ojg.2016.63017</article-id><article-id pub-id-type="publisher-id">OJG-65082</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  Adsorption of Cerium (IV) from Aqueous Solutions Using Activated Carbon Developed from Rice Straw
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>hsan</surname><given-names>Farahmand</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Department of Mining Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran</addr-line></aff><author-notes><corresp id="cor1">* E-mail:<email>farahmand.ehsan@yahoo.com</email></corresp></author-notes><pub-date pub-type="epub"><day>07</day><month>03</month><year>2016</year></pub-date><volume>06</volume><issue>03</issue><fpage>189</fpage><lpage>200</lpage><history><date date-type="received"><day>25</day>	<month>February</month>	<year>2016</year></date><date date-type="rev-recd"><day>accepted</day>	<month>26</month>	<year>March</year>	</date><date date-type="accepted"><day>29</day>	<month>March</month>	<year>2016</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  In this study, the adsorption of Cerium from synthetic solution containing cerium oxide is investigated using activated carbon developed from rice straw that is activated by H
  <sub>3</sub>
  PO
  <sub>4</sub>
  . SEM and FTIR techniques are used to examine structural and morphological characteristics of rice straw and activated carbon. The optimum conditions obtained with the highest adsorption include contact time = 500 minutes, pH = 4, temperature = 35&#176;C, cerium concentration = 300 ppm, and adsorbent dosage = 0.02 gr. The highest adsorption of Cerium is determined by 4.13 mg/g. Adsorption kinetics of cerium and equilibrium behavior is studied. It indicates that the adsorption process obeys Pseudo-first-order kinetic model and Langmuir isotherm model. The results of this study show that the activated carbon developed from rice straw activated by H
  <sub>3</sub>
  PO
  <sub>4</sub>
   
  is a relatively effective adsorbent for the adsorption of cerium from aqueous solution.
 
</p></abstract><kwd-group><kwd>Activated Carbon</kwd><kwd> Cerium</kwd><kwd> Isotherms</kwd><kwd> Adsorption Kinetics</kwd><kwd> Temperature</kwd><kwd> pH</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>In recent years, the separation and upgrading rare earth elements with an increased demand for these elements and their compounds are important. The most important uses of this element include controllers of nuclear reactors, production of radiopharmaceuticals, construction of petrochemical catalysts, colored glass, aluminum and steel industries, laser industry, glass that absorbs infrared wavelengths, refining crude oil, production of superconductors and super magnets, chips and computer hard disks, colored bulbs, etc. [<xref ref-type="bibr" rid="scirp.65082-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref2">2</xref>] .</p><p>Extraction and separation of lanthanides from each other due to their very similar physical and chemical properties are considered as a challenge. Thus, it is necessary to provide a method that makes the separation of their selection easy [<xref ref-type="bibr" rid="scirp.65082-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref4">4</xref>] . Solvent extraction and ion exchange are the most important method of extraction and recovery of lanthanides. The use of the above methods is not cost-effective due to a series of technical limitations and high cost of organic solvents. Therefore, it is necessary to search for new methods and biosorption is considered as a new option in this regard [<xref ref-type="bibr" rid="scirp.65082-ref5">5</xref>] .</p><p>Biosorption is process leading to the separation of metals from aquatic environment using biological materials such as bacteria, fungi, algae and agricultural waste through the creation of complex by toxic elements due to specific groups. The mechanism of biosorption is usually related to chemical bonding between groups of adsorbent surface and metal ions or ion exchange due to ion exchange capacity of the adsorbent. Forasmuch as this process is low-cost, eco-friendly and has a high performance adsorption, it is considered as an efficient alternative to traditional methods for eliminating toxic elements [<xref ref-type="bibr" rid="scirp.65082-ref6">6</xref>] . That is why in recent years the use of byproducts and agricultural waste such as bark of trees, sawdust, pistachio bark, almond shell, rice and wheat bran, corn residue, etc. have been developed due to cellulosic materials, carbon, and silica in their chemical structure to absorb rare earth elements from water and wastewater [<xref ref-type="bibr" rid="scirp.65082-ref7">7</xref>] .</p><p>Biological materials are abundant are available on the one hand, and they are not used certainly on the other hand. Activated carbon as an adsorbent with high adsorption capacity and low price has many uses in the processes of adsorption from the liquid or gas phase. The production of activated carbon is possible using two methods of physical and chemical activation [<xref ref-type="bibr" rid="scirp.65082-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref9">9</xref>] . The purpose of activation is creating a porous structure of carbon with high free in the raw material [<xref ref-type="bibr" rid="scirp.65082-ref10">10</xref>] . In this study, rice straw is used in a chemical activation method considered as a single-stage method for the production of activated carbon. Thus, raw material is mixed with a concentrated solution of an activating agent and the dried mixture is then heated in the oven in an inert atmosphere.</p></sec><sec id="s2"><title>2. Materials &amp; Methods</title><p>Chemicals used in this study included cerium oxide, deionized water to prepare a solution containing rare earth elements, hydrochloric acid, ammonia to adjust pH from Merck Company, phosphoric acid 98% - 100%, and distilled water for dilution. Rice straw used in the study was prepared by the agricultural lands in Mazandaran province in the north of Iran. In order to prepare the adsorbent, rice straw was minced into an electric mill. Then it was rinsed with double distilled water and is kept in the oven at a temperature of 60˚C to be dried completely.</p><p>First, the dried raw material was combined with a solution of phosphoric acid. Then, it was placed on a heater at 100˚C and stirred to evaporate the moisture in the mixture of straw and phosphoric acid. Next, it was put into the oven at 150˚C for 4 hours to be dried completely. After that, the obtained material was placed into a vacuum furnace at 500˚C for 1 hour. The obtained adsorbent was rinsed with distilled water and then dried in the oven at 100˚C. Finally, the obtained activated carbon was screened using an ASTM E11sieve, 45 meshes (355 micron), to achieve dimensions of 500 - 250 microns.</p><p>Image of scanning electron microscope (SEM), a layer of raw straw and activated carbon, is shown in <xref ref-type="fig" rid="fig1">Figure 1</xref>. <xref ref-type="fig" rid="fig2">Figure 2</xref> shows functional groups, their formed bonds, and its range for raw straw and activated carbon using Fourier Transform InfraRed (FTIR).</p><sec id="s2_1"><title>2.1. Adsorption Studies</title><p>Adsorption experiments were carried out in a batch system for determining pH, the equilibrium time, optimum temperature, amount of adsorbent, the adsorption capacity of rare earth elements, determination of kinetic and isotherm model. In this research during the reaction time, the contents of the container includes a certain amount of adsorbent and 30 ml serum concentration on a temperature controlled shaker with a mixing speed of 200 rpm. The Induction Coupled Plasma (ICP) device was used to measure the remaining elements in the solution and also determine the adsorption of Cerium in each experiment. After the reaction, the amount of adsorption was determined by calculating the difference between the initial and final concentration. The amount of Cerium adsorption was determined using the following formula:</p><disp-formula id="scirp.65082-formula1511"><label>(1)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x6.png"  xlink:type="simple"/></disp-formula><p>where C<sub>0</sub> is the initial concentration of Cerium (mg/l), C<sub>e</sub> is the concentration of Cerium at equilibrium (mg/l), q<sub>e</sub> is the amount of Cerium adsorption (mg/g), m is the amount of adsorbent (gr), and V is volume of the solution (l).</p><fig id="fig1"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref></label><caption><title> (a) SEM image of raw straw; (b) Activated carbon mixed with H<sub>3</sub>PO<sub>4</sub>.<sub> </sub></title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x7.png"/></fig></sec><sec id="s2_2"><title>2.2. The Effects of Solution pH</title><p>Solution pH is an important factor for process control of biosorption and affects the characteristics of metal in solution during the reaction of hydrolysis, complexing and reducing the metal recovery [<xref ref-type="bibr" rid="scirp.65082-ref11">11</xref>] . The pH factor is capable of influencing the analysis status and the bond place. In addition, this factor is capable of affecting the desired metal solution in the form of hydrolysis and complexing through organic and inorganic ligands [<xref ref-type="bibr" rid="scirp.65082-ref12">12</xref>] . In this study, the pH of the aqueous solution was determined between 1 and 7. As shown in <xref ref-type="fig" rid="fig3">Figure 3</xref>, the highest adsorption of cerium is determined by pH = 4.</p></sec><sec id="s2_3"><title>2.3. The Effect of Temperature</title><p>Temperature of the process is also an important factor influencing the biological adsorption of metal ions [<xref ref-type="bibr" rid="scirp.65082-ref13">13</xref>] . Experiments of cerium adsorption were studied at 20˚C, 25˚C, 30˚C, 35˚C and 40˚C. It was found that the temperature in the range 20˚C to 35˚C has no effect on the biosorption and the cerium adsorption is influenced by temperature at 35˚C to 40˚C (<xref ref-type="fig" rid="fig4">Figure 4</xref>).</p></sec><sec id="s2_4"><title>2.4. The Effect of Adsorbent Dosage</title><p>The concentration of adsorbent has a large impact on the adsorbent dosage in a way that increasing the concentration of biosorbents usually decreases the adsorbent dosage which may be due to the complex performance of several factors. At high concentrations of adsorbent, there is not enough adsorbent for complete coverage of solutions with the ability for adsorption on biosorbents which usually leads to low loading of adsorbent. The interference between the bond places due to the high concentration of biosorbents will reduce the loading capacity [<xref ref-type="bibr" rid="scirp.65082-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref15">15</xref>] . <xref ref-type="fig" rid="fig5">Figure 5</xref> shows the effect of adsorbent dosage on cerium adsorption.</p></sec><sec id="s2_5"><title>2.5. The Effects of Initial Concentration of Metal</title><p>Biosorption of cerium was studied as a function of metal concentration in the range of 50 to 300 mg/L. The amount of cerium adsorbed onto activated carbon increases with increasing initial concentration of metal ions. For element of cerium, when the ion concentration increases, the equilibrium loading of metal ion significantly increases and there is often saturation at higher concentrations (<xref ref-type="fig" rid="fig6">Figure 6</xref>).</p></sec><sec id="s2_6"><title>2.6. The Effect of Contact Time</title><p>As shown in <xref ref-type="fig" rid="fig7">Figure 7</xref>, the capacity of cerium adsorption is high in the first 300 minutes and increases with increasing contact to 500 minutes. After that, there is no significant increase in cerium adsorption. So, this time of interaction can be considered as equilibrium time of reaction. Rapid adsorption in the initial stages is probably due to the increase in the concentration gradient between the adsorbed material in the solution and adsorbent. As long as the phenomenon of adsorption desires to achieve a stable equilibrium, the initial rapid loading of metal ion will be in the form of physical adsorption. When the contact time increases, many operating groups will par-</p><fig id="fig2"  position="float"><label><xref ref-type="fig" rid="fig2">Figure 2</xref></label><caption><title> (a) FTIR spectrum of raw rice straw and, (b) Activated carbon combined with H<sub>3</sub>PO<sub>4</sub></title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x8.png"/></fig><fig id="fig3"  position="float"><label><xref ref-type="fig" rid="fig3">Figure 3</xref></label><caption><title>The effect of solution pH on the cerium adsorption by activated carbon</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x9.png"/></fig><fig id="fig4"  position="float"><label><xref ref-type="fig" rid="fig4">Figure 4</xref></label><caption><title> The effect of temperature on the cerium adsorption by activated carbon</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x10.png"/></fig><fig id="fig5"  position="float"><label><xref ref-type="fig" rid="fig5">Figure 5</xref></label><caption><title> The effects of adsorbent dosage on cerium adsorption by activated carbon</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x11.png"/></fig><fig id="fig6"  position="float"><label><xref ref-type="fig" rid="fig6">Figure 6</xref></label><caption><title> The effects of initial concentration of cerium ions on cerium adsorption by activated carbon</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x12.png"/></fig><fig id="fig7"  position="float"><label><xref ref-type="fig" rid="fig7">Figure 7</xref></label><caption><title> The effect of contact time on the cerium adsorption by activated carbon</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x13.png"/></fig><p>ticipate in metal ion adsorption until the equilibrium is obtained. After equilibrium, there is no significant change in metal ion concentration in the solution.</p></sec></sec><sec id="s3"><title>3. Results and Discussion</title><sec id="s3_1"><title>3.1. Adsorption Isotherms</title><p>One of the appropriate tools for the thermodynamic and kinetics model of the adsorption process is using different methods to determine the adsorption isotherm. Adsorption isotherm can be expressed in the form of a relationship between the adsorbed concentration onto solid surfaces and contaminant concentrations in solution phase at equilibrium and constant temperature [<xref ref-type="bibr" rid="scirp.65082-ref16">16</xref>] . Adsorption isotherms in laboratory are obtained through tests of the batch system [<xref ref-type="bibr" rid="scirp.65082-ref17">17</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref18">18</xref>] . The results for the adsorption of cerium ions are based on experimental data obtained by the adsorption models of Langmuir and Freundlich and Temkin [<xref ref-type="bibr" rid="scirp.65082-ref19">19</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref20">20</xref>] .</p><sec id="s3_1_1"><title>3.1.1. Langmuir Isotherm</title><p>Langmuir model is proposed on the assumption that energy of adsorption is the same in all places. In other words, adsorbent has homogenous surfaces and adsorption occurs in certain places and adsorbed molecules and ions have no interaction effect on each other. Moreover, the maximum adsorption is in the form of monolayer [<xref ref-type="bibr" rid="scirp.65082-ref21">21</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref22">22</xref>] . Langmuir model is described by the following equation:</p><disp-formula id="scirp.65082-formula1512"><label>(2)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x14.png"  xlink:type="simple"/></disp-formula><p>where C<sub>e</sub> is the concentration of Cerium at equilibrium (mg/l), q<sub>e</sub> is the amount of Cerium adsorption (mg/g), Q<sub>max</sub> is monolayer adsorption capacity (mg/g), and b is parameter related to energy of adsorption (l/mg). According to the curve of C<sub>e</sub> based on C<sub>e</sub>/q<sub>e</sub>, a linear equation is obtained which can calculate the coefficients of Q<sub>max</sub> and b. Langmuir constants were calculated on the basis of <xref ref-type="fig" rid="fig8">Figure 8</xref> and the results are shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p></sec><sec id="s3_1_2"><title>3.1.2. Freundlich Isotherm</title><p>Freundlich isotherm was propposed by Freundlich and Custer in 1894 with a completely empirical relationship and was used in the scope of the changes in low concentrations. It implies that the energy decreases with increasing levels [<xref ref-type="bibr" rid="scirp.65082-ref23">23</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref24">24</xref>] . Freundlich model can be expressed by the following equation:</p><disp-formula id="scirp.65082-formula1513"><label>(3)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x15.png"  xlink:type="simple"/></disp-formula><p>where K<sub>f</sub> is Freundlich constant and n is adsorption intensity. Freundlich isotherm constants can be achieved by drawing changes of logq to<inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/6-1210471x16.png" xlink:type="simple"/></inline-formula>. As shown in <xref ref-type="fig" rid="fig9">Figure 9</xref>, K<sub>f</sub> is obtained by y-intercept and 1/n is obtained by line slope. The results are presented in <xref ref-type="table" rid="table1">Table 1</xref>.</p><fig id="fig8"  position="float"><label><xref ref-type="fig" rid="fig8">Figure 8</xref></label><caption><title> Linear representation of Langmuir adsorption isotherm on cerium ions</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x17.png"/></fig><fig id="fig9"  position="float"><label><xref ref-type="fig" rid="fig9">Figure 9</xref></label><caption><title> Linear representation of Freundlich adsorption isotherm on cerium ions</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x18.png"/></fig><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Constants obtained for the model of Langmuir, Freundlich and Temkin</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="3"  >Temkin constant</th><th align="center" valign="middle"  colspan="3"  >Freundlich constant</th><th align="center" valign="middle"  colspan="3"  >Langmuir constant</th></tr></thead><tr><td align="center" valign="middle" >B</td><td align="center" valign="middle" >A</td><td align="center" valign="middle" >R<sup>2</sup></td><td align="center" valign="middle" >n</td><td align="center" valign="middle" >K<sub>f</sub></td><td align="center" valign="middle" >R<sup>2</sup></td><td align="center" valign="middle" >b</td><td align="center" valign="middle" >q<sub>max</sub></td><td align="center" valign="middle" >R<sup>2</sup></td></tr><tr><td align="center" valign="middle" >0.95</td><td align="center" valign="middle" >4.67</td><td align="center" valign="middle" >0.78</td><td align="center" valign="middle" >3.42</td><td align="center" valign="middle" >0.9</td><td align="center" valign="middle" >0.83</td><td align="center" valign="middle" >0.012</td><td align="center" valign="middle" >5.12</td><td align="center" valign="middle" >0.91</td></tr></tbody></table></table-wrap></sec><sec id="s3_1_3"><title>3.1.3. Temkin Adsorption Isotherm</title><p>Temkin isotherm assumes that the adsorption heat of all molecules in the adsorption layer is linearly reduced. This type of adsorption is characterized by a uniform distribution of bonding energies and is shown as follows:</p><disp-formula id="scirp.65082-formula1514"><label>(4)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x19.png"  xlink:type="simple"/></disp-formula><p>where B is Temkin constant related to adsorption heat (B = RT/b) and A is constant of equilibrium bond (L/g) which is corresponding to maximum binding energy [<xref ref-type="bibr" rid="scirp.65082-ref25">25</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref26">26</xref>] . Temkinisotherm constants can be achieved by drawing changes of q to lnC<sub>e</sub> (<xref ref-type="fig" rid="fig1">Figure 1</xref>0 and <xref ref-type="table" rid="table1">Table 1</xref>).</p><p>The results of the adsorption of cerium ion based on the adsorption models of Langmuir, Freundlich and Temkin show that Langmuir equation has a very good correlation coefficient in comparison with the other two equations and it indicates the consistency of the results of this research with Langmuir isotherm.</p></sec></sec><sec id="s3_2"><title>3.2. Adsorption Kinetics</title><p>In order to understand the dynamics of adsorption reactions, data on adsorption kinetics were examined.As was observed cerium adsorption increases with increasing time and reaches equilibrium during 300 minutes (<xref ref-type="fig" rid="fig7">Figure 7</xref>). The equilibrium time and cerium adsorption depends on the initial concentration of the adsorbed material. In the first stage, adsorption is fast and it gradually declines in the second stage; in other words, the phenomenon of adsorption is under control. The final stage is final equilibrium. There are several mathematical models to describe the reaction kinetics [<xref ref-type="bibr" rid="scirp.65082-ref27">27</xref>] . In this study, we investigated pseudo-first-order model (Lagergren), pseudo-second-order model (Ho et al.), intraparticle diffusion kinetic model and Elovich kinetic model.</p><sec id="s3_2_1"><title>3.2.1. Pseudo-First-Order Kinetics Model</title><p>Pseudo-first-order equation was proposed by Lagergren in 1898 for the adsorption kinetics of the liquid on the solid phase. This model is in line with the adsorption rate based on absorption capacity and is expressed as follows [<xref ref-type="bibr" rid="scirp.65082-ref25">25</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref29">29</xref>] :</p><disp-formula id="scirp.65082-formula1515"><label>(5)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x20.png"  xlink:type="simple"/></disp-formula><p>where q<sub>e</sub> is the amount of cerium adsorption (mg/g), q<sub>t</sub> is adsorption dosage at time of t (mg/g), K<sub>1</sub> is pseudo first-order kinetic constant (1/min), and t is time (min). Pseudo-first-order equation constants can be achieved by drawing changes of <inline-formula><inline-graphic xlink:href="http://html.scirp.org/file/6-1210471x21.png" xlink:type="simple"/></inline-formula> to t (<xref ref-type="fig" rid="fig1">Figure 1</xref>1 and <xref ref-type="table" rid="table2">Table 2</xref>).</p></sec><sec id="s3_2_2"><title>3.2.2. Pseudo-Second-Order Kinetics Model</title><p>Pseudo-second-order kinetic model is used to determine the kinetics of absorption based on the absorption capacity of the solution and can be expressed as follows [<xref ref-type="bibr" rid="scirp.65082-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.65082-ref31">31</xref>] :</p><disp-formula id="scirp.65082-formula1516"><label>(6)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x22.png"  xlink:type="simple"/></disp-formula><p>where q<sub>e</sub> is the amount of cerium adsorption (mg/g), q<sub>t</sub> is adsorption dosage at time of t (mg/g), K<sub>2</sub> is pseudo second-order kinetic constant (1/min), and t is time (min). Pseudo-second-order equation constants can be achieved by drawing changes of t/q to t (<xref ref-type="fig" rid="fig1">Figure 1</xref>2 and <xref ref-type="table" rid="table2">Table 2</xref>).</p></sec><sec id="s3_2_3"><title>3.2.3. Intraparticle Diffusion Kinetics Model</title><p>This model is based on the influence of molecules adsorbed to places of the adsorbent in the porosity. Mathematical expression of intraparticle diffusion model is as follows:</p><disp-formula id="scirp.65082-formula1517"><label>(7)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x23.png"  xlink:type="simple"/></disp-formula><p>where q<sub>t</sub> is adsorption dosage at time of t (mg/g), K<sub>p</sub> is intraparticle diffusion rate constant ((mg/g)∙min<sup>−0.5</sup>), and C is intraparticle diffusion constant (mg/g) [<xref ref-type="bibr" rid="scirp.65082-ref32">32</xref>] . Intraparticle diffusion constant can be achieved by drawing changes of q<sub>t</sub> to t<sup>0.5</sup> (<xref ref-type="fig" rid="fig1">Figure 1</xref>3 and <xref ref-type="table" rid="table2">Table 2</xref>).</p></sec><sec id="s3_2_4"><title>3.2.4. Elovich Kinetics Model</title><p>Elovich equation is used to describe the kinetics of absorption and desorption of mineral elements in solid chemistry and can be expressed as follows:</p><disp-formula id="scirp.65082-formula1518"><label>(8)</label><graphic position="anchor" xlink:href="http://html.scirp.org/file/6-1210471x24.png"  xlink:type="simple"/></disp-formula><fig id="fig10"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>0</label><caption><title> Linear representation of Temkin adsorption isotherm on cerium ions</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x25.png"/></fig><fig id="fig11"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>1</label><caption><title> The pseudo-first-order kinetic model (Lagergren’s model)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x26.png"/></fig><fig id="fig12"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>2</label><caption><title> The pseudo-second-order kinetic model (Ho et al.)</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x27.png"/></fig><fig id="fig13"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>3</label><caption><title> The intraparticle diffusion kinetic model</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x28.png"/></fig><fig id="fig14"  position="float"><label><xref ref-type="fig" rid="fig1">Figure 1</xref>4</label><caption><title> The elovich kinetic model</title></caption><graphic mimetype="image"   position="float"  xlink:type="simple"  xlink:href="http://html.scirp.org/file/6-1210471x29.png"/></fig><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> The calculated constants based on kinetic models of cerium adsorption</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="3"  >Elovich rate constant</th><th align="center" valign="middle"  colspan="2"  >Intraparticle diffusion rate constant</th><th align="center" valign="middle"  colspan="3"  >Pseudo-second-order rate constant</th><th align="center" valign="middle"  colspan="3"  >Pseudo-first-order rate constant</th></tr></thead><tr><td align="center" valign="middle" >α</td><td align="center" valign="middle" >β</td><td align="center" valign="middle" >R<sup>2</sup></td><td align="center" valign="middle" >K<sub>p</sub></td><td align="center" valign="middle" >R<sup>2</sup></td><td align="center" valign="middle" >q<sub>e</sub></td><td align="center" valign="middle" >K<sub>2</sub></td><td align="center" valign="middle" >R<sup>2</sup></td><td align="center" valign="middle" >q<sub>e</sub></td><td align="center" valign="middle" >K<sub>1</sub></td><td align="center" valign="middle" >R<sup>2</sup></td></tr><tr><td align="center" valign="middle" >0.025</td><td align="center" valign="middle" >1.215</td><td align="center" valign="middle" >0.721</td><td align="center" valign="middle" >0.113</td><td align="center" valign="middle" >0.796</td><td align="center" valign="middle" >7.42</td><td align="center" valign="middle" >0.0012</td><td align="center" valign="middle" >0.922</td><td align="center" valign="middle" >0.94</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.978</td></tr></tbody></table></table-wrap><p>where q is adsorption dosage at time of t (mg/g), and α and β are constant values during the experiment [<xref ref-type="bibr" rid="scirp.65082-ref33">33</xref>] . Constant values of Elovich equation can be achieved by drawing changes of q to lnt (<xref ref-type="fig" rid="fig1">Figure 1</xref>4 and <xref ref-type="table" rid="table2">Table 2</xref>). According to <xref ref-type="table" rid="table2">Table 2</xref>, analysis of kinetic data on the adsorption process shows that the correlation coefficient for pseudo-first-order kinetic model is higher than the other three models. The pseudo-first-order kinetic model is the most appropriate model for investigation of experimental data on cerium adsorption.</p></sec></sec></sec><sec id="s4"><title>4. Conclusion</title><p>The results of this study showed that the activated carbon developed from rice straw activated by H<sub>3</sub>PO<sub>4</sub> was a relatively effective adsorbent for the adsorption of cerium from aqueous solution. The adsorption process obeys Pseudo-first-order kinetic model and Langmuir isotherm model. The highest adsorption of Cerium is determined by 4.13 mg/g and pH = 4. The adsorption dosage increases with increasing the temperature more than 35˚C. In addition, the adsorption dosage has a direct relationship between increasing initial concentration and contact time.</p></sec><sec id="s5"><title>Cite this paper</title><p>Ehsan Farahmand, (2016) Adsorption of Cerium (IV) from Aqueous Solutions Using Activated Carbon Developed from Rice Straw. Open Journal of Geology,06,189-200. doi: 10.4236/ojg.2016.63017</p></sec></body><back><ref-list><title>References</title><ref id="scirp.65082-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Franken, K.M. (1995) A Roast-Leach Process for Extraction of Rare Earth from Complex Monazite-Xenotime Concentrates. Separation Science and Technology, 30. http://dx.doi.org/10.1080/01496399508010386</mixed-citation></ref><ref id="scirp.65082-ref2"><label>2</label><mixed-citation publication-type="other" xlink:type="simple">Gschneidner Karl, A. (1964) Rare Earth: The Fraternal Fifteen, U.S. Atomic Energy Commission Division of Techical Information .</mixed-citation></ref><ref id="scirp.65082-ref3"><label>3</label><mixed-citation publication-type="other" xlink:type="simple">Radhika, S., Nagaphani Kumar, B., Lakshmi Kantam, M. and Ramachandra Reddy, B. (2011) Solvent Extraction and Separation of Rare Earths from Phosphoric Acid Solution with TOPS 99. Hydrometallurgy, 110, 50-55.  
http://dx.doi.org/10.1016/j.hydromet.2011.08.004</mixed-citation></ref><ref id="scirp.65082-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Fontana, D. and Pietrelli, L. (2009) Separation of Middle Rare Earths by Solvent Extraction Using 2-Ethylhexyl-phosphonic Acid Mono-2-Ethylhexyl Ester as an Extractant. Journal of Rare Earths, 27, 830.  
http://dx.doi.org/10.1016/S1002-0721(08)60344-0</mixed-citation></ref><ref id="scirp.65082-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Maleki, A. and Zarasvand, M.A. (2008) Heavy Metals in Selected Edible Vegetables and Estimation of Their Daily Intake in Sanandaj, Iran. Southeast Asian Journal of Tropical Medicine and Public Health, 39, 335-340.</mixed-citation></ref><ref id="scirp.65082-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Quintelas, C., Fonseca, B., Silva, B., Figueiredo, H. and Tavares, T. (2009) Treatment of Chromium(VI) Solutions in a Pilot-Scale Bioreactor through a Biofilm of Arthrobacter viscosus Supported on GAC. Bioresource Technology, 100, 220-226. http://dx.doi.org/10.1016/j.biortech.2008.05.010</mixed-citation></ref><ref id="scirp.65082-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">Sud, D., Mahajan, G. and Kaur, M.P. (2008) Agricultural Waste Mineral as Potential Adsorbent for Sequestering Heavy Metal Ions from Aqueos Solutions: A Review. Bioresource Technology, 99, 6017-6027.  
http://dx.doi.org/10.1016/j.biortech.2007.11.064</mixed-citation></ref><ref id="scirp.65082-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Dias, J.M. and Alvim-Ferraz, M.C.M. (2007) Waste Materials for Activated Carbon Preparation and Its Use in Aqueous-Phase Treatment: A Review. Journal of Environmental Management, 85, 833-846.  
http://dx.doi.org/10.1016/j.jenvman.2007.07.031</mixed-citation></ref><ref id="scirp.65082-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Nunes, A.A. and Franca, A.S. (2009) Activated Carbons from Waste Biomass : An Alternativeuse for Biodiesel Production Solid Residues. Bioresource Technology, 100, 1786-1792. http://dx.doi.org/10.1016/j.biortech.2008.09.032</mixed-citation></ref><ref id="scirp.65082-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Ahmadpour, A. and Do, D.D. (1997) The Prepration of Activated Carbon from Macadamia Nutshell by Chemical Activation. Carbon, 35, 1723-1732.</mixed-citation></ref><ref id="scirp.65082-ref11"><label>11</label><mixed-citation publication-type="other" xlink:type="simple">Aoyama, M., Tsuda, M., Cho, N.-S. and Doi, S. (2000) Adsorption of Triralent Chromium from Dilute Solution by Conifer Leaves. Wood Science and Technology, 34, 55. http://dx.doi.org/10.1007/s002260050008</mixed-citation></ref><ref id="scirp.65082-ref12"><label>12</label><mixed-citation publication-type="other" xlink:type="simple">Fiol, N., Villaescusa, I., Martinez, M., Miralles, N., Poch, J. and Serarols, J. (2006) Sorption of Pb(II), Ni(II), Cu(II), and Cd(II) from Aqueous Solution by Olive Stone Waste. Separation and Purification Technology, 50, 132.  
http://dx.doi.org/10.1016/j.seppur.2005.11.016</mixed-citation></ref><ref id="scirp.65082-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">Panda, G.C., Dasa, S.K., Chatterjee, S., Maity, P.B., Bandopadhyay, T.S. and Guha, A.K. (2006) Adsorption of Cadmium on Husk of Lathyrussativus: Physicochemical Study. Colloids and Surfaces B, 50, 49.  
http://dx.doi.org/10.1016/j.colsurfb.2006.03.022</mixed-citation></ref><ref id="scirp.65082-ref14"><label>14</label><mixed-citation publication-type="other" xlink:type="simple">Tangaromsuk, J., Pokethitiyook, P., Kruatrachue, M. and Upatham, E.S. (2002) Cadmium Biosorption by Sphingomonas paucimobilis Biomass. Bioresource Technology, 85, 103. http://dx.doi.org/10.1016/S0960-8524(02)00066-4</mixed-citation></ref><ref id="scirp.65082-ref15"><label>15</label><mixed-citation publication-type="book" xlink:type="simple">Gadd, G.M., White, C. and De Rome, L. (1998) Heavy Metal and Radio Nucleotide Uptake by Fungi and Yeasts. In: Norri, R. and Kelly, D.P., Eds., Biohydrometallurgy, Network, Pudvan Publisher.</mixed-citation></ref><ref id="scirp.65082-ref16"><label>16</label><mixed-citation publication-type="other" xlink:type="simple">Monzure Khoda, K. (2009) Adsorption Isotherms. Nanyang Technological University, Nanyang.</mixed-citation></ref><ref id="scirp.65082-ref17"><label>17</label><mixed-citation publication-type="other" xlink:type="simple">Hameed, B.H. (2009) Evaluation of Papaya Seeds as a Novel Non-Conventional Low-Cost Adsorbent for Removal of Methylene Blue. Journal of Hazardous Materials, 162, 939-944. http://dx.doi.org/10.1016/j.jhazmat.2008.05.120</mixed-citation></ref><ref id="scirp.65082-ref18"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">Doulati Ardejani, F., Badii, K., Youse? Limaee, N., Shafaei, S. and Mirhabibi, A. (2008) Adsorption of Direct Red 80 Dye from Aqueous Solution onto Almond Shells: Effect of pH, Initial Concentration and Shell Type. Journal of Hazardous Materials, 151, 730-737. http://dx.doi.org/10.1016/j.jhazmat.2007.06.048</mixed-citation></ref><ref id="scirp.65082-ref19"><label>19</label><mixed-citation publication-type="other" xlink:type="simple">Langmuir, I. (1918) The Adsorption of Gases on Plane Surface of Glass, Mica and Olatinum. Journal of the American Chemical Society, 40, 1361-1403. http://dx.doi.org/10.1021/ja02242a004</mixed-citation></ref><ref id="scirp.65082-ref20"><label>20</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Freundlich</surname><given-names> H. </given-names></name>,<etal>et al</etal>. (<year>1906</year>)<article-title>Over the Adsorption in Solution</article-title><source> International Journal of Research in Physical Chemistry and Chemical Physics</source><volume> 57</volume>,<fpage> 387</fpage>-<lpage>470</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.65082-ref21"><label>21</label><mixed-citation publication-type="other" xlink:type="simple">Namasivayam, C. and Sangeetha, D. (2008) Application of Coconut Coir Pith for the Removal of Sulfate and Other Anions from Water. Desalination, 219, 1-13. http://dx.doi.org/10.1016/j.desal.2007.03.008</mixed-citation></ref><ref id="scirp.65082-ref22"><label>22</label><mixed-citation publication-type="other" xlink:type="simple">Nemr, A.E. (2009) Potential of Pomegranate Husk Carbon for Cr(VI) Removal from Wastewater: Kinetic and Isotherm Studies. Journal of hazardous Materials, 161, 132-141. http://dx.doi.org/10.1016/j.jhazmat.2008.03.093</mixed-citation></ref><ref id="scirp.65082-ref23"><label>23</label><mixed-citation publication-type="other" xlink:type="simple">Subramanyam, B. and Das, A. (2009) Linearized and Non-Linearized Isotherm Models Comparative Study on Adsorption of Aqueous Phenol Solution in Soil. International Journal Environmental Sciences &amp; Technology, 6, 633-640.  
http://dx.doi.org/10.1007/BF03326104</mixed-citation></ref><ref id="scirp.65082-ref24"><label>24</label><mixed-citation publication-type="other" xlink:type="simple">Altin, O., ?zbelge, H.O. and Dogu, T. (1998) Use of General Purpose Adsorption Isotherms for Heavy Metal-Clay Mineral Interactions. Journal of Colloid and Interface Science, 198, 130-140. http://dx.doi.org/10.1006/jcis.1997.5246</mixed-citation></ref><ref id="scirp.65082-ref25"><label>25</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Lagergren</surname><given-names> S. </given-names></name>,<etal>et al</etal>. (<year>1898</year>)<article-title>About the Theory of So-Called Adsorption of Solid Substance</article-title><source> Handlinger</source><volume> 24</volume>,<fpage> 1</fpage>-<lpage>39</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.65082-ref26"><label>26</label><mixed-citation publication-type="other" xlink:type="simple">Temkin, M. and Pyzhev, J.A.V. (1940) Kinetic of Ammonia Synthesis on Promoted Iron Catalysts. Acta Physicochimica, URSS, 12, 217-229.</mixed-citation></ref><ref id="scirp.65082-ref27"><label>27</label><mixed-citation publication-type="other" xlink:type="simple">Shams Khorramabadi, G., Darvishi Cheshmeh Soltani, R. and Jorfi, S. (2010) Cd(II) Adsorption Using Waste Sludge from a Municipal Wastewater Treatment System. Journal of Water and Wastewater, 1, 57-62.</mixed-citation></ref><ref id="scirp.65082-ref28"><label>28</label><mixed-citation publication-type="other" xlink:type="simple">Qiu, H., Lv, L., Pan, B.C., Zhang, Q., Zhang, W. and Zhang, Q. (2009) Critical Review in Adsorption Kinetic Models. Journal of Zhejiang University SCIENCE A, 10, 716-724. http://dx.doi.org/10.1631/jzus.A0820524</mixed-citation></ref><ref id="scirp.65082-ref29"><label>29</label><mixed-citation publication-type="other" xlink:type="simple">Fan, X., Parker, D.J. and Smith, M.D. (2003) Adsorption Kinetics of fluoride on Low Cost Materials. Water Research, 37, 4929-4937. http://dx.doi.org/10.1016/j.watres.2003.08.014</mixed-citation></ref><ref id="scirp.65082-ref30"><label>30</label><mixed-citation publication-type="other" xlink:type="simple">Ho, Y. (2006) Review of Second-Order Models for Adsorption Systems. Journal of Hazardous Materials, 136, 681-689. http://dx.doi.org/10.1016/j.jhazmat.2005.12.043</mixed-citation></ref><ref id="scirp.65082-ref31"><label>31</label><mixed-citation publication-type="other" xlink:type="simple">Ho, Y.S. and McKay, G. (1998) Sorption of Dye from Aqueous Solution by Peat. Chemical Engineering Journal, 70, 115-124. http://dx.doi.org/10.1016/S0923-0467(98)00076-1</mixed-citation></ref><ref id="scirp.65082-ref32"><label>32</label><mixed-citation publication-type="other" xlink:type="simple">Wu, J. and Yu, H.Q. (2007) Biosorption of 2,4-Dichlorophenol by Immobilized White-Rot Fungus Phanerochaete chrysosporium from Aqueous Solutions. Bioresource Technology, 98, 253-259.  
http://dx.doi.org/10.1016/j.biortech.2006.01.018</mixed-citation></ref><ref id="scirp.65082-ref33"><label>33</label><mixed-citation publication-type="book" xlink:type="simple">Sparks, D.L. (1999) Kinetics and Mechanisms of Chemical Reaction at the Soil Mineral/Water Interface. In: Sparks, D.L., Ed., Soil Physical Chemistry, CRC Press, Boca Raton, 135-191.</mixed-citation></ref></ref-list></back></article>