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A new approach to evaluate kinetic parameters and mass transfer coefficients in continuous stirred tank reactors. Application to antibiotic separation
Affiliation:1. Key Laboratory of High Efficiency and Clean Mechanical Manufacture of Ministry of Education, School of Mechanical Engineering, Shandong University, Jinan 250061, China;2. National Demonstration Center for Experimental Mechanical Engineering Education, Shandong University, Jinan 250061, China;3. Petroleum and Chemical Engineering, Faculty of Engineering, Universiti Teknologi Brunei, Bandar Seri Begawan BE 1410, Brunei Darussalam;4. Department of Mechanical Engineering, BK21 FOUR ERICA-ACE Center, Hanyang University, Ansan 15588, Republic of Korea;1. Department of Civil and Environmental Engineering, Korea Advanced Institute of Science and Technology (KAIST), 291 Daehak-ro, Yuseong-gu, Daejeon, 305-338, Republic of Korea;2. Research Center for Biobased Chemistry, Korea Research Institute of Chemical Technology, Daejeon, 305-600, Republic of Korea;1. School of Environmental Science and Engineering, Zhejiang Gongshang University, Hangzhou 310018, China;2. Institute of Environmental Engineering, School of Metallurgy and Environment, Central South University, Changsha 410083, China;3. Key Laboratory of Health Risk Appraisal for Trace Toxic Chemicals of Zhejiang Province, Ningbo Municipal Center for Disease Control and Prevention, Ningbo 315010, China;4. Ningbo Key Laboratory of Poison Research and Control, Ningbo Municipal Center for Disease Control and Prevention, Ningbo 315010, China;5. Hangzhou Academy of Environmental Sciences, Hangzhou 310018, China;6. The Wolfson Faculty of Chemical Engineering, Technion-Israel Institute of Technology, Technion City, Haifa 32000, Israel;1. Laboratorio de Inmunología y Virología, Facultad de Ciencias Biológicas, Universidad Autónoma de Nuevo León, Mexico;2. Unité de Biologie Cellulaire des Lymphocytes, Institut Pasteur, Paris, France;3. Longeveden SA de CV, Monterrey, Mexico
Abstract:A new method is proposed to evaluate kinetic parameters and mass transfer coefficients for adsorption processes carried out in continuous stirred tank reactors. This method, employing a biphasic model, does not linearize nonlinear solute concentration versus time data, nor does it assume the existence of equilibrium in a typical nonequilibrium situation as is currently done. For a nonlinear adsorption isotherm, the coupled differential equations need to be solved numerically, but using an elegant analytical solution it is possible to determine rate constants and mass transfer coefficients in the case of nonlinear kinetics with a linear adsorption isotherm. This solution (biphasic model, linear isotherm) is obtained and compared with solutions incorporating (i) a linear model (linear isotherm) and (ii) a numerical solution (nonlinear isotherm) for recovery of the antibiotic novobicoin in stirred tank reactors. For novobiocin adsorption versus time data, use of the biphasic model results in a lower mean percentage error than either the linear model or the numerical simulation; further, it provides a far superior fit of short-time adsorption behavior. Hence, we strongly advocate that the biphasic model be routinely employed along with linear models and numerical simulations of Langmuir/Freundlich isotherms for interpretation of adsorption data.
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