kajthomsen_phosphorus1298

Upload: suarezauthievre

Post on 03-Jun-2018

214 views

Category:

Documents


0 download

TRANSCRIPT

  • 8/11/2019 KajThomsen_Phosphorus1298

    1/36

    Recovery of Phosphorus forRecyclingKaj Thomsen

    CERE, Center for Energy Ressources Engineering

    DTU, Technical University of DenmarkLyngby, Denmark

  • 8/11/2019 KajThomsen_Phosphorus1298

    2/36

    June 27, 2012Recovery of Phosphorus for Recycling2 DTU Chemical Engineering,

    Technical University of Denmark

    Importance of phosphorus

    Phosphorus is found in every cell of all living beings(ADP/ATP, DNA, bone)

    Phosphorus can not be replaced by another compound, itis a non-renewable resource

    Phosphorus is one of the most abundant elements in theearths crust

    The known reserves of high concentration phosphate rockare being depleted

    Lack of phosphorus will cause increase in food prices,food shortages, geopolitical rifts

    Phosphorus has been designated as a strategic mineralresource by many countries

  • 8/11/2019 KajThomsen_Phosphorus1298

    3/36

    June 27, 2012Recovery of Phosphorus for Recycling3 DTU Chemical Engineering,

    Technical University of Denmark

    Peak phosphorus

    Hubbert curve by Dana Cordell and Stuart White, Sustainability,3(2011)2027-2049

  • 8/11/2019 KajThomsen_Phosphorus1298

    4/36

    June 27, 2012Recovery of Phosphorus for Recycling4 DTU Chemical Engineering,

    Technical University of Denmark

    Phosphorus as a waste product

    Straw and other organic material is increasingly being used for

    power and heat generation

    Gasification and combustion processes

    Much of the phosphorus in the straw ends up in the fly ash

    from the combustion Up to 90% of the fly ash is soluble, inorganic salts

    The fly ash cant be deposited in land fills in the European

    Union due to its solubility

    The fly ash cant be used as a fertilizer due to its content ofcadmium and other heavy metals

    This project was started in cooperation with the Danish

    company Kommunekemi in order ot solve this waste problem

  • 8/11/2019 KajThomsen_Phosphorus1298

    5/36

    June 27, 2012Recovery of Phosphorus for Recycling5 DTU Chemical Engineering,

    Technical University of Denmark

    Soluble salts in fly-ash

    Flyash from straw combustion

    30 mass % K2SO4 50 mass % KCl

    5-10 mass % P2O5 10-15 mass % insoluble

    Flyash from sewage sludge or manure combustion

    Rich in P2O5

    Both contain various metals and other impurities besidesfertilizer material

    Fluoride Aluminum

    Iron(III)

    Copper(II)

    Cadmium (10-15 ppm)

  • 8/11/2019 KajThomsen_Phosphorus1298

    6/36

    June 27, 2012Recovery of Phosphorus for Recycling6 DTU Chemical Engineering,

    Technical University of Denmark

    Benefits of recycling phosphorus

    The rate of consumption of the limited sources of

    phosphate rock in the world can be reduced

    The environment benefits from reduced eutrophication

    Money and energy is saved on the mining and import of

    phosphate products

    Indepedence from geopolitical tensions

    Thermodynamic modeling of the relevant aqueous salt

    systems is required in order to design appropriate

    processes for recycling phosphorus

    Process simulation

    Process design

  • 8/11/2019 KajThomsen_Phosphorus1298

    7/36

    June 27, 2012Recovery of Phosphorus for Recycling7 DTU Chemical Engineering,

    Technical University of Denmark

    Previous modeling of similar

    systems Wang et al., Modeling phase equilibria and speciation in mixed-

    solvent electrolyte systems, Fluid Phase Equilibria, 222-223(2004)11-17

    System: K+, Na+, H2PO4-, HPO4

    2-, H3PO4 OLI mixed solvent electrolyte model

    Christensen and Thomsen, Modeling of Vapor-Liquid-SolidEquilibria in Acidic Aqueous Solutions, Ind. Eng. Chem. Res.,42(2003)4260-4268

    System: K+, Na+, NH4+, Ca2+, Cl-, H2PO4

    -, HPO42-, H3PO4

    Extended UNIQUAC modeling did not include high pH range

    Weber et al., A Solubility Model for Aqueous SolutionsContaining Sodium, Fluoride, and Phosphate Ions, Ind. Eng.Chem. Res., 39(2000)518-526

    System: Na3PO4, Na2HPO4, NaF, NaOH

    Pitzer model to describe phase equilibria up to 100C

  • 8/11/2019 KajThomsen_Phosphorus1298

    8/36

    June 27, 2012Recovery of Phosphorus for Recycling8 DTU Chemical Engineering,

    Technical University of Denmark

    Extended UNIQUAC model

    Not a new model but new parameters

    Thermodynamic model for solutions containing

    electrolytes

    Debye-Hckel term for electrostatic interactions

    UNIQUAC term for short range interactions

    Soave-Redlich-Kwong term for gas phase fugacities

    The model is used for calculation of

    Speciation equilibrium

    Solid-liquid equilibrium

    Vapor liquid equilibrium

    Liquid-liquid equilibrium

    Thermal properties

  • 8/11/2019 KajThomsen_Phosphorus1298

    9/36

    June 27, 2012Recovery of Phosphorus for Recycling9 DTU Chemical Engineering,

    Technical University of Denmark

    Extended UNIQUAC modelex ex ex ex

    Combinatorial Residual Extended Debye-Hckel = + +G G G G

    ln - ln2

    exCombinatorial i i

    i ii

    i i ii

    zG x xq

    RT x

    ln

    ex

    Residualji i ji

    i j

    G = x qRT

    expji ii

    ji

    u u

    = - T

    ;i i i i

    i i

    j j j j

    j j

    x r x q

    x r x q

    2

    3

    4ln 1

    2

    EExtended Debye-Hckel

    w w

    Ba IAG= x M BaI BaI +

    RT Ba

    3/2

    21/2

    0

    0

    2 ; 1.54

    A

    r

    eA N d Ba

    kT

  • 8/11/2019 KajThomsen_Phosphorus1298

    10/36

    June 27, 2012Recovery of Phosphorus for Recycling10 DTU Chemical Engineering,

    Technical University of Denmark

    Extended UNIQUAC model

    Relative permittivity for pure water is used for all

    solutions

    The effect of other species on the chemical potentials in the

    solution is accounted for by interaction parameters

    The hydrogen ion is given fixed parameters, includinginteraction parameters with all other species

    The hydrogen ion is considered an anchor for the parameters

    The properties of all other species are determined relative to

    those of the hydrogen ion The temperature dependence of chemical potentials is

    determined by the Gibbs-Helmholtz equation: 0 0

    2

    /lnat constant pressure

    d G RT d K H

    dT dT RT

  • 8/11/2019 KajThomsen_Phosphorus1298

    11/36

    June 27, 2012Recovery of Phosphorus for Recycling11 DTU Chemical Engineering,

    Technical University of Denmark

    Model parameters and standard

    state properties H2O, CO2, HF, HCl, HNO3, H3PO4

    H+, Na+, K+, Ca2+, Cu2+, Cd2+, Fe3+, Al3+

    F-, Cl-, SO42-, HSO4

    -, NO3-, OH-, CO3

    2-, HCO3-, PO4

    3-, HPO42-, H2PO4

    -,

    AlO2-

    Adjustable model parameters UNIQUAC surface area and volume parameters

    Interaction parameters for each pair of species

    Standard state properties

    Aqueous species properties were taken from NIST/NBS tables

    Temperature dependent heat capacities of aqueous speciesgiven by three-parameter expression

    Pure salt properties were adjusted to the experimental data

    Heat capacities of pure salts were determined by Kopps rule

  • 8/11/2019 KajThomsen_Phosphorus1298

    12/36

    June 27, 2012Recovery of Phosphorus for Recycling12 DTU Chemical Engineering,

    Technical University of Denmark

    Experimental data

    Over 150,000 experimental data on electronic form

    More than 350 solute species

    Types of data include:

    Activity/osmotic coefficient

    Enthalpy of mixing

    Heat capacity

    Degree of dissociation

    Gas solubility

    Enthalpy of absorption/evaporation

    Density

    Salt solubility (Solid-liquid equilibrium)

    Liquid-liquid equilibrium

    Vapor-liquid equilibrium

    The databank can be browsed at http://www.cere.dtu.dk/Expertise/

    Electrolyte data bank will be presented in the poster session

  • 8/11/2019 KajThomsen_Phosphorus1298

    13/36

    June 27, 2012Recovery of Phosphorus for Recycling13 DTU Chemical Engineering,

    Technical University of Denmark

    Determination of parameters

    The adjustable parameters were determined using a modifiedMarquard routine from Harwell subroutine library and aNelder-Mead simplex routine

    Sequence of parameter determination:1. Core system consisting of H+, Li+,Na+, K+, Mg2+, Ca2+, OH-, Cl-, HCl,

    NO3-

    , HNO3, SO42-

    , HSO4-

    based on ca. 27000 experimental datapoints. 23 binary and 87 ternary systems.

    2. Carbonate species based on ca. 7000 experimental data

    3. Phosphate species based on ca. 5000 experimental data

    4. Fluorides species based on ca. 2000 experimental data

    5. Aluminum species based on ca 1100 experimental data

    6. Copper (II) based on ca 1500 experimental data7. Iron (III) based on ca 1900 experimental data

    8. Cadmium based on ca 1000 experimental data

    About 200 model parameters and 360 standard stateproperties of salts were adjusted based on these data.

  • 8/11/2019 KajThomsen_Phosphorus1298

    14/36

    June 27, 2012Recovery of Phosphorus for Recycling14 DTU Chemical Engineering,

    Technical University of Denmark

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    100

    90

    80

    70

    60

    50

    40

    30

    20

    10

    0

    0 10 20 30 40 50 60 70 80 90 100

    P2O5

    Na2O

    H2O

    H3PO4

    NaOH

    NaH2PO4

    NaOH3H2O

    NaOHH2O

    NaH2PO42H2O

    NaH2PO4H2O

    NaH2PO4H3PO4

    Na2HPO42NaH2PO42H2O

    Na2HPO4NaH2PO4

    Na2HPO4

    Na3PO4

    Na3PO4H2O

    Na3PO48H2O

    Na3PO46H2O

    Na3PO412H2O

    Na2HPO412H2O

    Na2HPO47H2O

    H3PO4H2O

    4(Na3PO412H2O)H2O

    2H3PO4 = 3H2O + P2O52H3PO4H2O = 4H2O + P2O52Na3PO4 = 3Na2O + P2O52Na2HPO412H2O = 2Na2O + P2O5 + 25H2O

    Large number of phosphates

    24 solids can form inthe H3PO4NaOH

    H2O system

  • 8/11/2019 KajThomsen_Phosphorus1298

    15/36

    June 27, 2012Recovery of Phosphorus for Recycling15 DTU Chemical Engineering,

    Technical University of Denmark

    0

    5

    10

    15

    20

    25

    30

    35

    40

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    molH2O/molsalt

    mol Na2O/(mol Na2O + mol P2O5)

    ExperimentalExtended UNIQUACTie linesSolids composition

    NaH2PO4H3PO4

    NaH2PO4H2O

    Na2HPO42

    NaH2PO42H

    2O

    Na3PO412

    H2O

    Na2

    HPO42H2

    O

    (4Na3PO412H2O)NaOH

    Na3PO4H2O

    40 C

    Na2HPO4NaH2PO4

    Na2HPO47H2O

    NaH2PO4

    NaH2PO4 Na2HPO4 Na3PO4

    H3PO4

  • 8/11/2019 KajThomsen_Phosphorus1298

    16/36

    June 27, 2012Recovery of Phosphorus for Recycling16 DTU Chemical Engineering,

    Technical University of Denmark

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    100

    90

    80

    70

    60

    50

    40

    30

    20

    10

    0

    0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100.00

    Experimental

    Extended UNIQUAC

    P2O5

    Na2O

    H2O

    H3PO4

    NaH2PO4

    NaOH3H2O

    NaH2PO42H2O

    NaH2PO4H2O

    NaH2PO4H3PO4 Na2HPO42NaH2PO42H2O

    Na3PO412H2O

    Na2HPO412H2O

    H3PO4H2O

    4(Na3PO412H2O)NaOH

    25C

  • 8/11/2019 KajThomsen_Phosphorus1298

    17/36

    June 27, 2012Recovery of Phosphorus for Recycling17 DTU Chemical Engineering,

    Technical University of Denmark

    0

    10

    20

    30

    40

    50

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    molH2O/molsalt

    mol K2O/(mol K2O + mol P2O5)

    Experimental

    Extended UNIQUAC

    Tie linesSolids composition

    0 C

    H3PO4H2OKH2PO4H3PO4

    KH2PO4

    K2HPO

    46H

    2O

    K3PO47H2O

    KOH2H2O

    K3PO4KH2PO4 K2HPO4

  • 8/11/2019 KajThomsen_Phosphorus1298

    18/36

    June 27, 2012Recovery of Phosphorus for Recycling18 DTU Chemical Engineering,

    Technical University of Denmark

    0

    10

    20

    30

    40

    50

    60

    70

    80

    90

    100

    100

    90

    80

    70

    60

    50

    40

    30

    20

    10

    0

    0 10 20 30 40 50 60 70 80 90 100

    Ravich and Popova, 1942Platford, 1974Beremzhanov et al., 1978Makin, 1957Bel Madani et al., 1999Ravich, 1938Selva, 1947Extended UNIQUAC, this work

    T= 25.0C

    NaKHPO45H2O

    Na2HPO47H2O

    K2HPO43H2O

    Na2HPO412H2O

    K2HPO

    Na2HP

    H2O

  • 8/11/2019 KajThomsen_Phosphorus1298

    19/36

    June 27, 2012Recovery of Phosphorus for Recycling19 DTU Chemical Engineering,

    Technical University of Denmark

    -2

    0

    2

    4

    6

    8

    10

    12

    14

    0

    10000

    20000

    30000

    40000

    50000

    60000

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1

    pH

    molH2O/(molCa

    O+molP2O5)

    mol CaO/(mol CaO + mol P2O5)

    Experimental

    Extended UNIQUACTie lines

    pH

    25C

    Ca3(PO4)2

    CaHPO42H2O

    Ca(H2PO4)2H2O

  • 8/11/2019 KajThomsen_Phosphorus1298

    20/36

    June 27, 2012Recovery of Phosphorus for Recycling20 DTU Chemical Engineering,

    Technical University of Denmark

    -2

    0

    2

    4

    6

    8

    10

    12

    14

    0

    5

    10

    15

    20

    25

    30

    35

    40

    45

    50

    0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45

    pH

    molH2O/(molCa

    O+molP2O5)

    mol CaO/(mol CaO + mol P2O5)

    Experimental

    Extended UNIQUACTie linespH

    25C

    Ca(H2PO4)2H2O

    CaHPO42H2O

    3 0E+09

  • 8/11/2019 KajThomsen_Phosphorus1298

    21/36

    June 27, 2012Recovery of Phosphorus for Recycling21 DTU Chemical Engineering,

    Technical University of Denmark

    0.0E+00

    5.0E+08

    1.0E+09

    1.5E+09

    2.0E+09

    2.5E+09

    3.0E+09

    0 0.2 0.4 0.6 0.8 1

    molH2O/molsalt

    mol Fe2O3/(mol Fe2O3+ Mol P2O5)

    Experimental

    Extended UNIQUAC model, this work

    25C

    FePO42H2O

    Fe2(HPO4)3H3PO46H2O

    Fe(H2PO4)32H2O

    0

    100

    200

    300

    400

    500

    600

    0 0.05 0.1 0.15 0.2 0.25

    molH2O/molsalt

    mol Fe2O3/(mol Fe2O3+ Mol P2O5)

    ExperimentalExtended UNIQUAC

    25C

    FePO42H2O

    Fe2(HPO4)3H3PO46H2O

    Fe(H2PO4)32H2O

    FePO42H2O

    Solubility: Ca3

    (PO4

    )2

    > Cu3

    (PO4

    )2

    >

    AlPO4> FePO4

  • 8/11/2019 KajThomsen_Phosphorus1298

    22/36

    June 27, 2012Recovery of Phosphorus for Recycling22 DTU Chemical Engineering,

    Technical University of Denmark

    0

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    4.5

    0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

    NaFmass%

    Na3PO4, mass %

    Extended UNIQUAC

    Guiot (1967)

    Nagorskaya and Novoselova (1935)

    Morozova and Rzhechitskii (1977)

    Tananaev (1941)

    Morrison and Jache (1959)

    Payne (1937)

    Na3PO412H2O

    2Na3PO4NaF19H2O

    NaF0 C

    Systems with data of

    questionable quality

  • 8/11/2019 KajThomsen_Phosphorus1298

    23/36

    June 27, 2012Recovery of Phosphorus for Recycling23 DTU Chemical Engineering,

    Technical University of Denmark

    0

    0.5

    1

    1.5

    2

    2.5

    3

    3.5

    4

    4.5

    0 2 4 6 8 10 12 14

    NaF

    mass%

    Na3PO4, mass %

    Extended UNIQUAC

    Roslyakova et al. (1979)

    Foote and Schairer (1930)

    Herting (1996)

    Clark (1919)

    Carter (1928)

    Na3PO412H2O

    2Na3PO4NaF19H2O

    NaF

    25 C

  • 8/11/2019 KajThomsen_Phosphorus1298

    24/36

    June 27, 2012Recovery of Phosphorus for Recycling24 DTU Chemical Engineering,

    Technical University of Denmark

    0.0000

    0.0005

    0.0010

    0.0015

    0.0020

    0.0025

    0.0030

    0.0035

    0.0040

    0.0045

    0 10 20 30 40 50 60 70 80

    Mass

    %CaF2

    Temperature C

    Extended UNIQUAC

    Experimental

    CaF2

  • 8/11/2019 KajThomsen_Phosphorus1298

    25/36

    June 27, 2012Recovery of Phosphorus for Recycling25 DTU Chemical Engineering,

    Technical University of Denmark

    Potassium salts with low

    solubility

    0

    5

    10

    15

    20

    25

    30

    0 2 4 6 8

    Wt%A

    l2(SO4)3

    Wt % K2SO4

    Extended UNIQUAC this work

    Ts'ai et al., 1936

    0C

    KAl(SO4)212H2O

  • 8/11/2019 KajThomsen_Phosphorus1298

    26/36

    June 27, 2012Recovery of Phosphorus for Recycling26 DTU Chemical Engineering,

    Technical University of Denmark

    0

    5

    10

    15

    20

    25

    30

    35

    0 10 20 30 40 50 60 70

    Wt%

    Al(OH)3

    wt % KOH

    Extended UNIQUAC, this work

    Du et al., 200540C

    2KOHAl2O32H2O

    Al(OH)3

    Aluminate ion, AlO2-

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    8.5 9 9.5 10 10.5 11

    A

    lO2-fraction

    pH

    Al3+

    AlO2-

    Al3++4OH-AlO2-+2H2O

    Standard state properties for AlO2-

    fG, kJ/mol fH, kJ/mol

    NIST -830.9 -930.9

    This work -734.0 -923.0

  • 8/11/2019 KajThomsen_Phosphorus1298

    27/36

    June 27, 2012Recovery of Phosphorus for Recycling27 DTU Chemical Engineering,

    Technical University of Denmark

    Salting in of CaSO4by AlCl3

    0

    5

    10

    15

    20

    25

    30

    35

    0 0.2 0.4 0.6 0.8 1 1.2 1.4

    Wt%A

    lCl3

    Wt % CaSO4

    Extended UNIQUAC, this work

    Li and Demopoulos, 2006

    50C

    AlCl36H2O

    CaSO4

    CaSO42H2O

  • 8/11/2019 KajThomsen_Phosphorus1298

    28/36

    June 27, 2012Recovery of Phosphorus for Recycling28 DTU Chemical Engineering,

    Technical University of Denmark

    0

    200

    400

    600

    800

    1000

    1200

    0 0.2 0.4 0.6 0.8 1

    Vaporpressure,kPa

    HF mol fraction

    Pxy diagram for HF-H2O at 100C

    Extended UNIQUAC

    Experimental

    50

    60

    70

    80

    90

    100

    110

    120

    0 0.2 0.4 0.6 0.8 1

    Vaporpress

    ure,kPa

    HF mol fraction

    Pxy diagram for HF-H2O at 100C

    Extended UNIQUAC

    Experimental

  • 8/11/2019 KajThomsen_Phosphorus1298

    29/36

    June 27, 2012Recovery of Phosphorus for Recycling29 DTU Chemical Engineering,

    Technical University of Denmark

    Model implementation

    The model is implemented in a dynamic link library (DLL-

    file)

    Multi-phase flash algorithm

    The program can be called from programs that have a Visual Basic

    interface such as Microsoft Excel Simulations can be carried out directly in Excel

    The excel sheet can be used as an interface to Aspen Plus

    The model can be implemented as a user model in Aspen Plus

  • 8/11/2019 KajThomsen_Phosphorus1298

    30/36

    June 27, 2012Recovery of Phosphorus for Recycling30 DTU Chemical Engineering,

    Technical University of Denmark

    Conclusion

    Phosphate is essential to life on earth no substitutes

    Recycling of phosphate is extremely important due to limitedressources.

    Thermodynamic modeling of phase behaviour in systemscontaining phosphate enable us to design processes for

    producing food grade phosphate from waste such as sewagesludge

    Modelling with current activity coefficient models only possible withthe use of good quality experimental data

    Experimental data for solubility in many systems representingphosphate and its impurities are of low quality

    New experimental measurements of solubility and otherproperties of these systems are required to improve themodeling

  • 8/11/2019 KajThomsen_Phosphorus1298

    31/36

    June 27, 2012Recovery of Phosphorus for Recycling31 DTU Chemical Engineering,

    Technical University of Denmark

    Acknowledgment

    This project was supported by a grant from ForskEL

    projekt nr. 2008-1-0111 Working up phosphate from

    ashes

    The project was carried out in cooperation with

    Kommunekemi as, Denmark

  • 8/11/2019 KajThomsen_Phosphorus1298

    32/36

    June 27, 2012Recovery of Phosphorus for Recycling32 DTU Chemical Engineering,

    Technical University of Denmark

    Thank you for your attention

  • 8/11/2019 KajThomsen_Phosphorus1298

    33/36

    June 27, 2012Recovery of Phosphorus for Recycling33 DTU Chemical Engineering,

    Technical University of Denmark

    0

    0.05

    0.1

    0.15

    0.2

    0 10 20 30 40 50 60

    CaSO4solubili

    ty,mol/kgwater

    H3PO4 mol/kg water

    Experimental, CaSO4

    Experimental, CaSO4H2O

    Experimental, CaSO42H2O

    Extended UNIQUAC

    80 C

    CaSO4

    CaSO4H2O

    CaSO42H2O

  • 8/11/2019 KajThomsen_Phosphorus1298

    34/36

    June 27, 2012Recovery of Phosphorus for Recycling34 DTU Chemical Engineering,

    Technical University of Denmark

    -60

    -40

    -20

    0

    20

    40

    0 20 40 60 80 100

    Tem

    peratureC

    Mass % H3PO4

    Experimental

    Extended UNIQUAC

    H3PO4H2O

    H3PO4

    Ice

  • 8/11/2019 KajThomsen_Phosphorus1298

    35/36

    June 27, 2012Recovery of Phosphorus for Recycling35 DTU Chemical Engineering,

    Technical University of Denmark

    0

    1

    2

    3

    4

    5

    6

    0 10 20 30 40 50 60

    FeF3

    KF

    T= 25.0C

    Weight%

    FeF33H2O

    FeF32KFH2O

    KF2H2OFeF33KF3H2O

  • 8/11/2019 KajThomsen_Phosphorus1298

    36/36

    June 27 2012Recovery of Phosphorus for Recycling36 DTU Chemical Engineering

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    1

    0 10 20 30 40 50 60 70 80 90 100 110 120

    saltfraction

    Calculated

    Experimental

    Temperature, CCuSO4

    Na2SO4

    CuSO4Na2SO42H2O

    CuSO45H2O

    Na2SO410H2O

    Na2SO4

    CuSO43H2O