Search results for " Opera"

showing 10 items of 3606 documents

Separation of the azeotropic mixture 2-propanol + water employing different imidazolium ionic liquids as solvents

2020

Abstract The liquid-liquid equilibria of the ternary systems water (1) + 2-propanol (2) + [emim][Tf2N] (3) and water (1) + 2-propanol (2) + [hmim][Tf2N] (3) at 283.2, 303.2 and 323.2 K and atmospheric pressure were investigated, in order to achieve a better knowledge of the ternary mixture behaviour. The capability of [emim][Tf2N] and [hmim][Tf2N] as solvents in the separation of the azeotropic mixture water + 2-propanol was studied through the distribution coefficient and selectivity, and compared with the results obtained with other ionic liquids in the same azeotropic mixture studied before by our research group. The thermodynamic parameters of both ternary mixtures were calculated by th…

UNIQUACAtmospheric pressureChemistry02 engineering and technology010402 general chemistry01 natural sciencesAtomic and Molecular Physics and Optics0104 chemical sciencesPropanolPartition coefficientchemistry.chemical_compound020401 chemical engineeringIonic liquidNon-random two-liquid modelPhysical chemistryGeneral Materials Science0204 chemical engineeringPhysical and Theoretical ChemistrySelectivityTernary operationThe Journal of Chemical Thermodynamics
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Phase equilibria for the ternary systems ethanol, water+ethylene glycol or+glycerol at 101.3kPa

2013

Abstract Two solvents, ethylene glycol and glycerol, are proposed as possible entrainers for the extractive distillation of the binary azeotropic mixture formed by ethanol and water. In this way, consistent isobaric vapour–liquid equilibrium data at 101.3 kPa were measured for the ternary systems ethanol + water + ethylene glycol and ethanol + water + glycerol. The data were correlated by local compositions models Wilson, NRTL and UNIQUAC. Parameters of these models were later employed to evaluate ability of the candidates to break the original azeotrope. The obtained results led to consider the ethylene glycol and the glycerol as valid entrainers for the extractive distillation process of …

UNIQUACEthanolGeneral Chemical EngineeringGeneral Physics and Astronomychemistry.chemical_compoundchemistryAzeotropeGlycerolNon-random two-liquid modelExtractive distillationOrganic chemistryPhysical and Theoretical ChemistryTernary operationEthylene glycolFluid Phase Equilibria
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Study of the capability of 1-decyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide ionic liquid as solvent in the separation of water from 1-pr…

2020

Abstract After the good behavior of different 1-alkyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide ionic liquids (ILs) used as solvents in the separation of 1-propanol and 2-propanol from water, liquid-liquid equilibria data was measured from a system formed by a ternary mixture of water, 1-propanol or 2-propanol and 1-decyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide ([dmim][Tf2N]) at 283.2, 303.2 and 323.2 K and atmospheric pressure. The non-random two-liquid (NRTL) and universal quasichemical (UNIQUAC) models were employed to obtain the thermodynamic parameters of both ternary mixtures, with good results in all cases. Finally, the capability of [dmim][Tf2N] to separate…

UNIQUACMaterials science02 engineering and technology010402 general chemistry021001 nanoscience & nanotechnologyCondensed Matter Physics01 natural sciencesAtomic and Molecular Physics and Optics0104 chemical sciencesElectronic Optical and Magnetic MaterialsPropanolPartition coefficientSolventchemistry.chemical_compoundchemistryIonic liquidMaterials ChemistryNon-random two-liquid modelPhysical chemistryPhysical and Theoretical Chemistry0210 nano-technologyImideTernary operationSpectroscopyJournal of Molecular Liquids
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Isobaric vapor–liquid equilibrium for binary and ternary mixtures of 2-methyl-2-propanol+methyl 1,1-dimethylpropyl ether+2,2,4-trimethylpentane

2000

Abstract New consistent vapor–liquid equilibrium (VLE) data for the binary system methyl 1,1-dimethylpropyl ether (TAME)+2,2,4-trimethylpentane (isooctane) and the ternary system 2-methyl-2-propanol (TBA)+methyl 1,1-dimethylpropyl ether (TAME)+2,2,4-trimethylpentane (isooctane) are reported at 101.3 kPa. In the binary system, the results indicate a positive deviation from ideality and no azeotrope is present. The ternary system presents a saddle point azeotrope that can be predicted from binary data. The activity coefficients and boiling points of the solutions were correlated with their composition by Wilson, UNIQUAC and NRTL equations.

UNIQUACTernary numeral systemChemistryGeneral Chemical EngineeringGeneral Physics and AstronomyThermodynamicschemistry.chemical_compoundAzeotropeNon-random two-liquid modelVapor–liquid equilibriumBinary system224-TrimethylpentanePhysical and Theoretical ChemistryTernary operationFluid Phase Equilibria
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Liquid–Liquid Equilibria of Water + Ethanol + 1-Butyl-3-methylimidazolium Bis(trifluoromethanesulfonyl)imide Ternary System: Measurements and Correla…

2015

In this work authors present the experimental liquid–liquid equilibria (LLE) data of water + ethanol + 1-butyl-3-methylimidazolium bis(trifluoromethanesulfonyl)imide ([bmim][Tf2N]) system at different temperatures. The LLE of the system was obtained in the temperature range from 283.2 to 323.2 K. The nonrandom two liquid (NRTL) and universal quasichemical (UNIQUAC) models were used to correlate ternary systems. The equilibrium compositions were successfully correlated by the interaction parameters from both models, however UNIQUAC gave a more accurate correlation. Finally, a study about the solvent capability of ionic liquid was made in order to evaluate the possibility of separating the mi…

UNIQUACTernary numeral systemChemistryGeneral Chemical EngineeringLiquid–liquid equilibriaDifferent temperaturesGeneral ChemistryAtmospheric temperature rangeSolventIngeniería Químicachemistry.chemical_compoundWater + ethanol + 1-butyl-3-methylimidazolium bis(trifluoromethanesulfonyl)imideIonic liquidNon-random two-liquid modelOrganic chemistryPhysical chemistryImideTernary operation
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Isobaric vapor–liquid equilibria for binary and ternary mixtures with cyclohexane, cyclohexene, and morpholine at 100kPa

2010

Abstract Vapor–liquid equilibria (VLE) data at 100 kPa have been determinated for the ternary system cyclohexane + cyclohexene + morpholine and two constituent binary systems cyclohexane + morpholine and cyclohexene + morpholine. The thermodynamic consistency of experimental data has been verified. Both binary systems deviate moderately from ideality without the presence of an azeotrope. The VLE data have been well correlated using local composition models (Wilson, NRTL and UNIQUAC) and have been also predicted with the original UNIFAC.

UNIQUACTernary numeral systemCyclohexaneGeneral Chemical EngineeringGeneral Physics and AstronomyThermodynamicschemistry.chemical_compoundchemistryAzeotropeNon-random two-liquid modelIsobaric processPhysical and Theoretical ChemistryTernary operationUNIFACFluid Phase Equilibria
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Isobaric vapor–liquid equilibrium for ternary mixtures of ethanol and methylcyclohexane with 3-methylpentane and tert-butyl alcohol at 101.3kPa

2007

Abstract Consistent vapor–liquid equilibrium (VLE) data for the ternary systems 3-methylpentane + ethanol + methylcyclohexane and ethanol + tert-butyl alcohol (TBA) + methylcyclohexane are reported at 101.3 kPa. The VLE data have been correlated by Wilson, UNIQUAC and NRTL equations. The ternary systems do not present azeotrope and are well predicted from binary interaction parameters.

UNIQUACtert-Butyl alcoholChemistryGeneral Chemical EngineeringGeneral Physics and AstronomyThermodynamicschemistry.chemical_compoundAzeotropeNon-random two-liquid modelVapor–liquid equilibriumOrganic chemistryPhysical and Theoretical ChemistryMethylcyclohexaneTernary operation3-MethylpentaneFluid Phase Equilibria
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Beurling ultradistributions of Lp-growth

2003

We study the convolutors and the surjective convolution operators acting on spaces of ultradistributions of Lp-growth. In the case p = 2 we obtain complete characterizations. Some results on hypoellipticity are also included.  2003 Elsevier Science (USA). All rights reserved.

UltradistributionsPure mathematicsFunctional analysisApplied MathematicsConvolution operatorsMathematical analysisConvolutionSurjective functionsymbols.namesakeFourier transformConvolutorssymbolsConvolution equationAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Unbounded derivations and *-automorphisms groups of Banach quasi *-algebras

2018

This paper is devoted to the study of unbounded derivations on Banach quasi *-algebras with a particular emphasis to the case when they are infinitesimal generators of one parameter automorphisms groups. Both of them, derivations and automorphisms are considered in a weak sense; i.e., with the use of a certain families of bounded sesquilinear forms. Conditions for a weak *-derivation to be the generator of a *-automorphisms group are given.

Unbounded derivationPure mathematicsAutomorphisms groups and their infinitesimal generatorsInfinitesimalBanach quasi *-algebra01 natural sciencesMathematics::Group Theory*-Automorphisms groups and their infinitesimal generatorSettore MAT/05 - Analisi Matematica0103 physical sciencesFOS: MathematicsAutomorphisms groups and their infinitesimal generators; Banach quasi; Integrability of derivation; Unbounded derivations; Automorphisms groups and their infinitesimal generators; Banach quasi; Integrability of derivation; Unbounded derivationsBanach quasi0101 mathematicsOperator Algebras (math.OA)MathematicsGroup (mathematics)Applied Mathematics010102 general mathematicsIntegrability of derivationMathematics - Operator AlgebrasAutomorphismUnbounded derivationsFunctional Analysis (math.FA)Mathematics - Functional AnalysisBounded function010307 mathematical physicsGenerator (mathematics)
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Continuous frames for unbounded operators

2021

Few years ago G\u{a}vru\c{t}a gave the notions of $K$-frame and atomic system for a linear bounded operator $K$ in a Hilbert space $\mathcal{H}$ in order to decompose $\mathcal{R}(K)$, the range of $K$, with a frame-like expansion. These notions are here generalized to the case of a densely defined and possibly unbounded operator on a Hilbert space $A$ in a continuous setting, thus extending what have been done in a previous paper in a discrete framework.

Unbounded operator42C15 47A05 47A63 41A65Pure mathematicsContinuous A-frames Continuous weak A-frames Continuous atomic systems Unbounded operatorsAlgebra and Number TheoryAtomic system010102 general mathematicsHilbert spaceOrder (ring theory)01 natural sciencesBounded operatorFunctional Analysis (math.FA)Mathematics - Functional AnalysisRange (mathematics)symbols.namesakeSettore MAT/05 - Analisi Matematica0103 physical sciencessymbolsFOS: Mathematics0101 mathematics010306 general physicsAnalysisMathematics
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