Multicomponent ion exchange in fixed beds operated under equilibrium conditions

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U.S. Dept. of the Interior; [for sale by the Supt. of Docs., U.S. Govt. Print. Off.] , [Washington]
Saline water conversion -- Ion exchange pr
Statementby Gerhard Klein, Daniel Tondeur, and Theodore Vermeulen, for Office of Saline Water.
SeriesResearch and development progress report, no. 172-173
ContributionsTondeur, Daniel, joint author., Vermeulen, Theodore, joint author.
LC ClassificationsTD478 .U5 no. 172-173
The Physical Object
Pagination2 v.
ID Numbers
Open LibraryOL6009294M
LC Control Number66062656

Component Ion Exchange in Fixed Bed Operated under Equilibrium Conditions,” Sea U‘ater Conversion Laboratory Report No. Part XI, Univ. Calif., Berkeley (July, ). Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link) http.

Modelling of Fixed Bed Multicomponent Ion Exchange. The paper presents a study of the total demineralization of dilute aqueous solutions by ion exchange using two fixed bed columns, the former with a strongly acidic resin (R c-H +) and the second with a.

PDF | The paper presents a study of the total demineralization of dilute aqueous solutions by ion exchange using two fixed bed columns, the former with | Find, read and cite all the research. The approaches used for modeling ion exchange in fixed beds by Hiester and Vermeulen () for single solute, and by Helfferich () and by Klein et al.

() for multicomponent mixtures, are restricted to systems with constant separation factors and/or to infinitely long fixed beds for which the assumption of a local equilibrium is by: In fixed bed adsorption and ion exchange operations are scaled up from laboratory tests in small-diameter bed, and the large unit is designed for the same superficial velocity and particle size [4].

Particle size should be kept the same, as it is well known that is affecting the rate of the adsorption and ion exchange [].Cited by: 5. The present model introduces non-equilibrium approach to the recycling fixed-bed ion exchange system. For fixed-bed ion exchange systems, employing the present approach introduced in this work, one is able to predict the time and bed height dependent interphase liquid concentrations, and the corresponding interphase solid by: MULTICOMPONENT SYSTEMS 9 which is the equilibrium condition for this system.

j;are the stoichiometric coecient of jin the a;b;c;phases, respectively.

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We will make use of this result in the next two chapters to study di erent kinds of equilibria. Ion exchangers exchange one ion for another, hold it temporarily, and then release it to a regenerant solution.

In an ion exchange system, undesirable ions in the water supply are replaced with more acceptable ions. For example, in a sodium zeolite softener, scale-forming calcium and magnesium ions are replaced with sodium ions.

I Multicomponent Ion Exchange in Fixed Beds Operated Under Equilibrium Conditions, Part 1 General Properties of Uniformly Presaturated Beds Receiving Feed of Constant Composition Research and Development Progress Report No.

I Multicomponent Ion Exchange in Fixed Beds Operated Under Equilibrium Conditions. ION EXCHANGE EQUILIBRIUM STUDY USING STRONGLY BASIC ANION EXCHANGE RESIN TULSION A e*1, de2 and 3 1 Department of Chemistry, Bhavan’s College, Andheri, Mumbai - 58 2 Department of Chemistry, University of Mumbai, Vidyanagari, Santacruz, Mumbai Forions with the samevalence, ion-exchange equilibrium described by the constant separation factor is of the same form of the Langmuir isotherm.

i are the species concentrations in the resin and solution phases, respectively. The species concentrations can be expressed in terms of the equivalence Size: 1MB. Ion exchange is a stoichiometric phenomenon commonly used in water treatment as an end-of-pipe technique. Such process is highly influenced by mass transfer conditions and may be modeled by adsorption equations.

Although widely applied in industries its theory has not been completely understood and depends on the exchanger by: 2. In fixed-bed ion exchange, the concentration in the fluid phase and in the solid phase changes with time as well as with position in the bed. The transfer process is described by the overall volumetric coefficient (K c a), obtained from a metal material balance in the column assuming irreversible sorption as proposed in McCabe et al.

():Cited by: For example, it applies to strong-base exchange of Cl for NO3 but not to activated carbon adsorption processes or to the second bed in a two-bed ion-exchange system where molecular adsorption or ion exchange with neutralization occurs causing C_ to approach zero upon continuous contact with the solid phase.

Topic 1: Equilibrium Under Fixed Exchange Rates. You have learned that under flexible exchange rates equilibrium output and prices in the small open economy are determined by the world interest rate and the condition of asset equilibrium, with the exchange rate adjusting endogenously to maintain commodity market equilibrium.

Multicomponent systems are the mixtures (the solutions) which consist of several pure (individual) substances (components). The initial amount each of the substances in the ν-component system may be represented in terms of the component masses m i (1 ≤ i ≤ ν).

Another way, which is widely used in thermodynamics, is to represent the system composition in terms.

Title: Principles and modern applications of mass transfer operations / Jaime Benitez. Description: Third edition. | Hoboken, New Jersey: Wiley, | Includes bibliographical references and index. Identifiers: LCCN | ISBN (hardback) | ISBN (ePub) | ISBN (Adobe PDF)File Size: 1MB.

Application of h ‐transformation for the solution of multicomponent adsorption in â Multicomponent Ion Exchange in Fixed Bed Operated under Equilibirum Conditions,â Sea Water Conversion Laboratory Report No.

6 8 3, â Part I, Univ. Calif., Berkeley (July, )., â Multicomponent Ion Exchange in Fixed Beds-Genera1 Properties of. Fundamentals of Ion Exchange Ion exchange is the reversible interchange of ions between a solid (ion exchange material) and a liquid in which there is no permanent change in the structure of the solid.

Ion exchange is used in water treatment and also provides a method of separation in many non-water processes. It has special utility inFile Size: KB. Abstract. A summary is given of Theodore Vermeulen’s scientific contributions in the field of process design for sorption operations.

Where possible, enough background is presented for each item to make the pertinent advances more readily : Gerhard Klein. The condition of asset equilibrium under full-employment conditions is 4. M/P = − θ (r* + τ) + γ + ε Y F Given the full-employment level of income, the real interest rate determined by world market conditions and the price level determined by flow equilibrium above, this equation determines the equilibrium stock of of money M.

Thus, the ion-exchange investigation was directed toward the use of a continuous, fluidized-bed, ion-exchange column. The Bureau-developed MCIX column was chosen for the cobalt recovery studies since previous work using this column to extract uranium from low-grade solutions had demonstrated its utility in reducing resin inventories when.

Acknowledgnlents During the course of this thesis, I have received assistance and encouragement from many quarters.

The person to whom lowe. For the removal of heavy metals from the food cycle, natural processes can be used. The bio-molecules that bind metals in natural systems can make certain types of biomass suitable for metal sequestration in industrial biosorption processes which are described in this chapter.

Biosorption can serve as a tool for the recovery of precious metals and the elimination of toxic Cited by: Yu Q, Wang NHL () Computer simulations of the dynamics of multicomponent ion exchange and adsorption in fixed beds—gradient-directed moving finite element method.

Comput Chem Eng – CrossRef Google Scholar.

Details Multicomponent ion exchange in fixed beds operated under equilibrium conditions FB2

In order to study the elutio i behavior of the anions under true ion-exchange conditions in the absence of a significant concentration of hydroxide ions, the capacity of the cation bed used in Runs was deliberately made much larger than the capacity of the weak-base anion bed.

Klein, G., D. Tondeur, 1. Vermeulen, “Multicomponent Ion.

Description Multicomponent ion exchange in fixed beds operated under equilibrium conditions EPUB


There is joint equilibrium of production and exchange as the MRT in production is equal to MRS XY of the two individuals at the consumption equilibrium point E.

Thus, with point Q on the transformation curve TT’ and point E on the consumption contract curve drawn in the Edgeworth Box made from point Q’, the following condition of general equilibrium of production and.

Equilibrium Considerations in Porous Sorbents Adsorption and Chromatography Equilibria Ion-Exchange Equilibria Mass Transfer in Fixed Beds of Porous Sorbents Basic Equations for Adsorption Linear Isotherm Langmuir Isotherm Length of Unused Bed Brand: Wiley.

A discontinuously operated chromatographic reactor and a reaction calorimeter were used to study experimentally and theoretically the heterogeneously catalyzed hydrolysis reactions of four esters (methyl formate, methyl acetate, ethyl formate, and ethyl acetate).

Two different batches of an acidic ion-exchange resin were used as catalyst and by:   Separation Process Engineering is the new, thoroughly updated edition of the author's previous book, Equilibrium Staged Separations.

Enhancements include improved organization, extensive new coverage, and more than 75% new homework problems, all tested in the author's Purdue University : Pearson Education.Considering that linear correlation generally exists between the equilibrium and the ion-exchange (sorption) capacity in ion-exchange resins (i.e.

Freundlich intensity parameter is 1/ n ≈ 1), low initial nitrate concentration of ~ mg L −1 NO 3 −-N (~5 mg L −1 NO 3 −) was selected (NaNO 3 – nitrate standard solution for Ion Cited by: 8.