hi water vle modelling ppt

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    Thermodynamics modeling of theHIx part of the Iodine Sulfur

    thermocycle

    M. K. Hadj-Kali, V. Gerbaud,

    P. Floquet, X. Joulia

    J.M. Borgard,

    P. Carles, G. Moutiers

    November 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    H2SO4

    Decomposition

    H2SO4

    Concentration

    HI

    Decomposition

    HIVaporization

    Bunsen Reaction

    H2O

    H2O2

    2 HI H2 + I2

    [330 C]

    I2 + SO2 + 2 H2O H2SO4 + 2 HI

    [120 C]

    SO2 + H2O + O2

    [850 C]

    H2SO4

    I2SO2

    Iodine sulfur thermocycle for hydrogen production

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Multiphase behavior (vapor liquid liquid solid),

    H2O I2 : highly immiscible liquid liquid equilibrium system,

    HI I2 : solid liquid equilibrium system,

    H2O HI

    Maximum boiling / low pressure azeotrope,

    Strong electrolytic system,

    Liquid liquid equilibrium,

    The ternary mixture has two separate liquid liquid regions,

    Solvation reactions occur as well as poly-iodides formation in the solution.

    Thermodynamics challenges of HIx system

    The sulfuric acid decomposition section of this process can be simulated accurately, but other

    sections (acid generation and hydrogen iodide decomposition) illustrate the difficulty of modeling phase

    behavior, particularly liquid-phase immiscibility, in complex electrolyte systems.

    (Mathias 2005, Fluid Phase Equilibria)

    HIx = HI/H2O/I2 (nominal : HI / 5 H2O / 4 I2)

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Outline

    Iodine-Suldure thermochemical cycle for hydrogen production

    HIx modeling Challenges

    Proposed model and identification methodology

    Validation vs experimental literature data

    Conclusions and perspectives

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    UNIQUAC

    Homogeneous model-

    Equation of State PR Boston Mathias

    Mixture rules

    ComplexStandardModel

    Symmetric convention

    Electrolytes

    MHV2

    HIx modeling

    Engels Solvation

    Non- Electrolytes

    Heterogeneous model -

    liquid Phase

    Ideal gas

    ModelAsymmetric convention

    NRTL + Pitzer

    vapor Phase

    Equation of StateModel

    Symmetric convention

    Electrolytes

    Engels Solvation Wilson

    NRTL Neumann

    Electrolytes

    Neumann : Engels + NRTL

    Mathias et al. : electrolyte

    Literature models:

    Non- Electrolytes

    UNIQUAC Solvation (UQSolv)

    New models:

    Ideal

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Advantages of the model

    - approach:

    No extrapolation of the vapor pressure law above critical points

    Correct handling of mixture phase behavior above HI critical point (TC=423K)

    Equation of state: Peng Robinson w/ Boston Mathias function

    Accurate behavior of pure components above critical points

    Mixing rule: MHV2 including non ideal liquid phase behavior via a Gex model

    Activity coefficient model: Engels solvation

    Electrolytic model but with symmetric convention so as to span the whole composition range

    Introduces solvation complexes with several solvents

    Activity coefficient model: UNIQUAC vs NRTL:

    Combinatorial term handles steric effect

    Residual term accounts for non ideal liquid phase behavior (as NRTL)

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Simulis Thermodynamics component

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Model parameter identification procedure

    Three binary mixtures

    H2O I2: only UNIQUAC binary interaction parameters

    HI I2: only UNIQUAC binary interaction parameters

    H2O HI:

    HI solvation by H2O equilibrium constant and solvation number

    m H2O + HI 2C

    UNIQUAC binary interaction parameters for H2O, HI and the solvation complex C

    Ternary mixture

    H2O HI I2: refined parameter values

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Available experimental data

    Haase (1963)21 P = f(T,x,y)VLE

    LLE

    VLE

    LSE

    LSE

    LLE

    LLE

    H

    VLE

    VLE

    Data

    Neumann (1986)280 P = f(T,x)H2O HI I2

    Vanderzee & Gier (1974)13

    Norman (1984)12

    Wster (1979)80 P = f(T,x)

    Pascal (1926)38 T = f(P,x,y)

    H2O HI

    Okeefe & Norman (1982)5 T = f(x)HI I2

    Haase (1963) / Norman (1985)6 T = f(x)

    Kracek (1932)10 T = f(x)

    Kracek (1932)10 T = f(x)H2O I2

    Data sourcesData number

    Fitting data validation

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Model prediction of iodinesolubility in aqueous solution

    H2O I2 identification results

    Iodine phase

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Iodine

    melting point

    Neumann Model

    (wI2 > 100)

    HI I2 identification results

    0

    20

    40

    60

    80

    100

    0 20 40 60 80 100 120

    Temperature (C)

    Masscompositionofiodine(%)

    exp (O'Keefe et Norman, 1982)

    Ideal UNIQUAC

    Neumann

    UQSolv

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Good agreement up to the azeotrope

    H2O HI identification results 1/2

    azeotrope0,1

    1

    10

    100

    0 0,1 0,2 0,3 0,4 0,5 0,6 0,7

    HI mass fraction

    Press

    ure(bar)

    T=90C

    T=130C

    T=170C

    T=190C

    T=230C

    Wster Correlations (1979)

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    H2O HI identification results 2/2

    H20 - HI liquid - vapor equilibrium curve at atmospheric pressure

    -60

    -40

    -20

    0

    20

    40

    60

    80

    100

    120

    140

    0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1

    HI molar fraction

    Temperature(C)

    exp bubble points (Pascal, 1926)

    exp dew points (Pascal, 1926)

    UQSolv bubble curve

    UQSolv dew curve

    Model prediction of LVE curve at atmospheric pressure

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Engels experimental data

    (0,017 < xHI < 0,159)

    Ternary system H2O HI I2

    Liquid liquid equilibrium data

    (Norman, 1984)

    HI I2

    H2O

    For regression For validation

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    6.5062.249.53

    3.7344.838.18UQSolv

    Neumann

    criterionMax error (%)Average error (%)

    2

    =

    Np exp

    calexpP

    PPCriterion

    Liquid liquid equilibrium (H2O I2)

    Solid liquid equilibrium (HI I2)

    Vapor liquid equilibrium (H2O HI) with solvation (m H2O + HI 2C)

    Keeping identified parameters for :

    H2O HI I2 identification results 1/2

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    H2O HI I2 identification results 2/2

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    P. Carles / Thermodynamic modeling of HIx part of the Iodine Sulfur thermocycleNovember 4 -9, 2007Salt Palace Convention CenterSalt Lake City, Utah

    Conclusion and perspectives

    HIx non ideal and electrolytic system is modeled by an equation of state (EOS)

    approach with complex mixing rules including GEX models.

    The EOS approach is well suited with expected process T and P conditions that may be

    higher than the HI critical point.

    The liquid phase non ideal behavior is modelled combining Engels solvation equations

    suitable for any electrolyte composition and activity coefficient UNIQUAC equation.

    The resulting UQsolv model predict accurately most of the experimental data available

    and accurate, incl. LLE, LSE and LLVE for each binary and ternary system.

    Largest discrepancy is found for high HI concentration mixtures where experimental

    data is lacking or is uncertain.

    Improvements are under investigation:

    Polyiodide ion formation

    HI decomposition in I2 and H2 for the vapor phase rich in HI