Equilibrium mono- and multicomponent adsorption models: From homogeneous ideal to heterogeneous non-ideal binding

Abstract Let 𝑋 be a smooth and connected projective curve. Assume the existence of spanned 𝐿 ∈ Pic𝑎(𝑋), 𝑅 ∈ Pic𝑏(𝑋) such that ℎ0(𝑋, 𝐿) = ℎ0(𝑋, 𝑅) = 2 and the induced map ϕ 𝐿,𝑅 : 𝑋 → 𝐏1 × 𝐏1 is birational onto its image. Here we study the following question. What can be said about the morphisms β : 𝑋 → 𝐏𝑅 induced by a complete linear system |𝐿⊗𝑢⊗𝑅⊗𝑣| for some positive 𝑢, 𝑣? We study the homogeneous ideal and the minimal free resolution of the curve β(𝑋).

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Effects of lateral interactions in multicomponent adsorption

Electrochimica Acta ◽

10.1016/0013-4686(91)85027-5 ◽

1991 ◽

Vol 36 (11-12) ◽

pp. 1689-1694 ◽

Cited By ~ 21

Author(s):

Per Arne Rikvold

Keyword(s):

Lateral Interactions ◽

Multicomponent Adsorption

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Generalized statistical model for multicomponent adsorption equilibria on zeolites

Industrial & Engineering Chemistry Research ◽

10.1021/ie00077a022 ◽

1988 ◽

Vol 27 (5) ◽

pp. 848-851 ◽

Cited By ~ 9

Author(s):

Renato Rota ◽

Giuseppe Gamba ◽

Renato Paludetto ◽

Sergio Carra ◽

Massimo Morbidelli

Keyword(s):

Statistical Model ◽

Multicomponent Adsorption ◽

Adsorption Equilibria

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Preparation of cationic waste paper and its application in poisonous dye removal

Water Science & Technology ◽

10.2166/wst.2013.140 ◽

2013 ◽

Vol 67 (11) ◽

pp. 2560-2567 ◽

Cited By ~ 8

Author(s):

Fan Yang ◽

Xiaojie Song ◽

Lifeng Yan

Keyword(s):

Low Cost ◽

Aqueous Suspension ◽

Order Kinetic ◽

Acid Orange 7 ◽

Anionic Dyes ◽

Experimental Conditions ◽

Adsorption Models ◽

Acid Orange ◽

Initial Ph ◽

Pseudo Second Order

Cationic paper was prepared by reaction of paper with 2,3-epoxypropyltrimethylammonium chloride in aqueous suspension, and tested as low-cost adsorbent for wastewater treatment. The experimental results revealed that anionic dyes (Acid Orange 7, Acid Red 18, and Acid Blue 92) were adsorbed on the cationic paper nicely. The maximum amount of dye Acid Orange 7 adsorbed on cationic paper was 337.2 mg/g in experimental conditions. The effects of initial dye concentration, temperature, and initial pH of dye solution on adsorption capacity of cationic paper were studied. The pseudo-first-order and pseudo-second-order kinetic models were applied to describe the kinetic data. The Freundlich and Langmuir adsorption models were used to describe adsorption equilibrium. The thermodynamic data indicated that the adsorption process of dye on cationic paper occurred spontaneously.

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