Multicomponent ion exchange equilibria. I. Zn2+−Cd2+−H+ and Cu2+−Ag+−H+ on amberlite IR 120

Sengupta, Mainak; Paul, Tanay

doi:10.1016/0167-6989(85)90007-8

Cited by 9 publications

(6 citation statements)

References 18 publications

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“…In order to increase the generality of the reliability test of the HMAM, other binary systems available in the literature involving counterions of different valences are considered: Cu2+/Ag+ (data from Dranoff and Lapidus (1957)), Ca2+/H+ (data from Manning and Malshmeier (1983)), Mg2+/K+ and Ca2+/K+ (data from Khoroshko et al (1974)), Cu2+/Na+ (data from Pieroni and Dranoff (1963)), and Cd2+/H+ and Zn2+/H+ (data from Sengupta and Paul (1985)). For all these systems the HMAM is able to reproduce the experimental data with satisfactory accuracy, as seen from the values of the average relative error arising from the fitting procedure shown in Table 1.…”

Section: Comparison With Experimental Datamentioning

confidence: 99%

“…In order to further test the reliability of the proposed HMAM in predicting binary as well as ternary equilibrium data according to the triangle rule, we consider other systems reported in Table 1, namely Cu2+/H+ (data from Dranoff and Lapidus (1957)), Ca2+/Na+, K+/ Na+, and Ca2+/K+ (data from Manning and Malshmeier (1983)), Cu2+/H+ (data from Pieroni and Dranoff (1963)), and Cd2+/Zn2+ and Cd2+/Zn2+/H+ (data from Sengupta and Paul (1985)). For each of these systems we have used the model parameter values estimated above by fitting the relevant binary equilibrium data reported by the same authors and indicated in Table 1.…”

Section: Comparison With Experimental Datamentioning

confidence: 99%

See 1 more Smart Citation

A New Model for the Simulation of Ion Exchange Equilibria

Melis¹,

Cao²,

Morbidelli³

1995

Ind. Eng. Chem. Res.

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Section: Comparison With Experimental Datamentioning

confidence: 99%

Section: Comparison With Experimental Datamentioning

confidence: 99%

A New Model for the Simulation of Ion Exchange Equilibria

Melis¹,

Cao²,

Morbidelli³

1995

Ind. Eng. Chem. Res.

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“…The IAST modelhasbeensimplified touseaverage, or lumped, isotherm constants allowing its application tocomplexmixtures of many solutes. However,this simplified competitive adsorption model, haslimited applications overbroadconcentration ranges and isnotaccurate for many applications (Sengupta and Paul, 1985;Chakravarti andSengupta, 1983).…”

Section: The Ideal Adsorbed Solution Theorymentioning

confidence: 99%

Multicomponent liquid ion exchange with chabazite zeolites

Robinson¹,

Arnold²,

Byers³

1993

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vi LIST OF SYMBOLS a geometry constant; 1 for planar, 2 for cylindrical, 3 for spherical a,t isotherm constant for cation i a01 constant in Equation 69 a2i constant in Equation 69 Ai_ collocation constant to replace gradient A, equivalent fraction of cation A in solution phase A_ equivalent fraction of cation A in solid phase bi isotherm constant for cation i Bj_ collocation constant to replace Laplacian operator B, equivalent fraction of cation B in solution phase Bz equivalent fraction of cation B in solid phase ci concentration of cation i in liquid, meq/mL Ci dimensionless concentration of cation i in liquid, ei/c0i Cdi concentration of cation i in bulk liquid, meq/mL Cpi concentration of cation i in liquid in macropores, meq/mL c,i solubility of cation i in Equations 7, 10 and 11, meq/mL; concentration of cation i in liquid at the particle surface, meq/mL c0_ initial concentration of cation i in liquid, vaeq/mL Dci micropore diffusivity for cation i, cm2/s D_i 30(l'e)q01/ec_ d i impeller diameter, cm Dn liquid diffusivity for cation i, em2/s Dpi maeropore diffusivity for cation i, em2/s D_i surface diffusivity for cation i, cm2/s ix _i Coiel,/(1-ep)qo_0 p density of particles, g/cm3

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“…36 UNIQUAC Model. The UNIQUAC model results from a linear combination of a combinatorial term (ln γ ̅ i C ) accounting essentially for molecule size and shape differences, and a residual term (ln γ ̅ i R ) resultant from short-range molecular energetic interactions: 38,50,51 29 19 0.1 K + /Na + /Cl − /Amberjet 1200H 29 18 0.1 K + /H + /Cl − /Amberjet 1200H 29 18 0.1 Ca 2+ /H + /Cl − /Amberjet 1200H 29 19 0.1 Ca 2+ /Na + /Cl − /Amberjet 1200H 29 17 0.1 Ca 2+ /K + /Cl − /Amberjet 1200H 29 15 0.1 Ca 2+ /Mg 2+ /Cl − /Amberjet 1200H 29 18 0.1 Mg 2+ /H + /Cl − /Amberjet 1200H 29 15 0.1 Mg 2+ /Na + /Cl − /Amberjet 1200H 29 14 0.1 Mg 2+ /K + /Cl − /Amberjet 1200H 29 15 0.1 Ca 2+ /Na + /Cl − /Clinoptilolite 57 19 0.05 Ca 2+ /K + /Cl − /Clinoptilolite 57 19 0.05 K + /Na + /Cl − /Clinoptilolite 57 14 0.05 Ca 2+ /Na + /Cl − /Amberlite 252 25 7 0.05 Mg 2+ /Na + /Cl − /Amberlite 252 25 8 0.05 Ca 2+ /Mg 2+ /Cl − /Amberlite 252 25 7 0.05 Cs + /Na + /Cl − /Dowex 50W-X8 58 13 0.1 Mn 2+ /Na + /Cl − /Dowex 50W-X8 58 15 0.1 Mn 2+ /Cs + /Cl − /Dowex 50W-X8 58 13 0.1 Zn 2+ /H + /NO 3 − /Amberlite IR 120 24 16 0.1 Cd 2+ /H + /NO 3 − /Amberlite IR 120 24 15 0.1 Cd 2+ /Zn 2+ /NO 3 − /Amberlite IR 120 24 13 0.1 Ternary Systems K + /Na + /H + /Cl − /Amberjet 1200H 29 76 0.1, 0.2, 0.5, 1.0 K + /Na + /Ca 2+ /Cl − /Amberjet 1200H 29 68 0.1, 0.2, 0.5, 1.0 K + /Na + /Mg 2+ /Cl − /Amberjet 1200H 29 74 0.1, 0.2, 0.5, 1.0 Na + /H + /Ca 2+ /Cl − /Amberjet 1200H 29 68 0.1, 0.2, 0.5, 1.0 Na + /H + /Mg 2+ /Cl − /Amberjet 1200H 29 68 0.1, 0.2, 0.5, 1.0 Na + /Mg 2+ /Ca 2+ /Cl − /Amberjet 1200H 29 67 0.1, 0.2, 0.5, 1.0 K + /H + /Ca 2+ /Cl − /Amberjet 1200H 29 69 0.1, 0.2, 0.5, 1.0 K + /H + /Mg 2+ /Cl − /Amberjet 1200H…”

Section: Solution Phasementioning

confidence: 99%

Modeling Sorbent Phase Nonideality for the Accurate Prediction of Multicomponent Ion Exchange Equilibrium with the Homogeneous Mass Action Law

2012

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In this Article the ion exchange equilibrium of binary and multicomponent systems was modeled with homogeneous mass action law using activities and taking account of the partial dissociation of salts according to Kester and Pytkowicz's approach. The activity coefficients in the solution were estimated by the Pitzer model and in the sorbent by Wilson, nonrandom two-liquid (NRTL), and universal quasichemical (UNIQUAC) models. Wilson has already been adopted in the literature, while NRTL and UNIQUAC were investigated here for the first time. The modeling procedure relied on the analysis of experimental data for the constitutive binary systems to fit the equilibrium constants and the binary parameters of the activity coefficients for the sorbent, which were then applied to predict the multicomponent isotherms. The models were tested with 22 binary, 14 ternary, 5 quaternary, and 1 quinary systems, totalizing 1494 points. The results showed that NRTL and Wilson provide reliable and very similar predictions (average deviations equal to 11.35 % and 11.53 %, respectively) while UNIQUAC performs poorly (16.02 %). The ideal model, which assumes unitary activity coefficients, achieved the largest error (34.20 %), thus emphasizing the chief importance of nonidealities. The extension of ion association also proved to be very important, attaining values near 60 %.

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Multicomponent ion exchange equilibria. I. Zn2+−Cd2+−H+ and Cu2+−Ag+−H+ on amberlite IR 120

Cited by 9 publications

References 18 publications

A New Model for the Simulation of Ion Exchange Equilibria

A New Model for the Simulation of Ion Exchange Equilibria

Multicomponent liquid ion exchange with chabazite zeolites

Modeling Sorbent Phase Nonideality for the Accurate Prediction of Multicomponent Ion Exchange Equilibrium with the Homogeneous Mass Action Law

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