Water desalination by an electrochemical means- Capacitive - - PowerPoint PPT Presentation

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Water desalination by an electrochemical means- Capacitive - - PowerPoint PPT Presentation

Water desalination by an electrochemical means- Capacitive Deionization method. Advantages and Limitations. Outline Basic methods of water desalination Capacitive Deionization method (CDI). Advantages. Selective Desalination-pores


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SLIDE 1

Water desalination by an electrochemical means- Capacitive Deionization method. Advantages and Limitations.

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SLIDE 2

Outline

  • Basic methods of water desalination
  • Capacitive Deionization method (CDI).
  • Advantages.

Selective Desalination-pores shape design by CVD technique.

The feasibility of boron removal from water by CDI.

  • Limitations.

“Rocking Chair” phenomenon in CDI. Improving the charge utilization by surface treatments

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SLIDE 3

A brief review on 2 of the most conventional desalination methods

Reverse Osmosis (RO) Reverse osmosis (RO) is a water purification technology that uses a semipermeable membrane In general, Reverse osmosis systems apply pressure against semipermeable membrane, where the membrane is preamble only to the water molecules. In reverse osmosis technique , desalination of 1m3 of sea water requires > 4kWh

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SLIDE 4

Distillation

  • Distillation–A liquid is evaporated and then condensed
  • Based on the fact that as the water vaporizes, it leaves

behind most of the dissolved impurities

  • Passes through a condenser where it cools and reverts

back to a liquid—impurity free

Although the simplicity of this process, the energy requirments are much higher with >200Wh/m3

A brief review on 2 of the most conventional desalination methods

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SLIDE 5

The basic concept of CDI

Double layer theory

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SLIDE 6

Introduction to CDI method.

The double layer theory

  • In electrochemistry we distinguish between 2 kinds of reaction- faradiac and

non-faradiac reaction.

  • Where in faradiac reaction , a charge across the interface between the

electrode and the electrolyte, in faradiac reactions charge do not.

  • Whether charge leakage is likely to occur depends on variable parameters

such as potential, electrode material, the electroactive speicies , its concentration , etc.

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SLIDE 7

Capacitive deionization (CDI) method-the basic concepts

The Helmholtz model (capacitor model)

  • Electrical double layer
  • When an electrode is brought into contact with an electrolyte, any excess
  • f charge presented at the electrode surface is balanced by the

accommodation of a parallel layer of counter-ions.

  • The electrical charge and the ionic charge are separated with a monolayer
  • f the electrolyte.

C α A / d

  • According to Helmholtz model the capacitance is proportional to the

surface area of the electrode divided by the charge separation distance.

  • The amount of electrical charge stored at the electrode equals to the

capacitance multiply by the potential. Q=CV

Illustration of the electrical double layer according to Helmholtz model

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SLIDE 8
  • As we all may know that Helmholtz theory cannot predict the real capacitance

at low potentials (relative to the PZC) and at low concentrations, CDI operates at relatively high potentials and Helmholtz is good as a simple approximation.

Capacitance of an electrode as a function of concentration and potential acording to Stern model

The Helmholtz model (capacitor model)

  • Electrical double layer

Capacitive deionization (CDI) method-the basic concepts

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SLIDE 9

The basic concept of CDI

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SLIDE 10

Capacitive deionization (CDI) method-the basic concepts

  • Salty water flows by or through a pair
  • f high surface porous electrodes.
  • During the application of potential difference

between the electrodes, positively charged species are electro-adsorbed onto the negatively polarized electrode in the double layer region and the contrary.

  • Once the electrodes are short-circuited the charged species are desorbed back to

the solution and the CDI reactor is regenerated

Yoram Oren. Desalination, 228,10,(2008)

Schematic illustration of CDI + + + + + + + + + + + + +

  • - - - - - - - - - - -

Activated carbon Activated carbon

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SLIDE 11

Capacitive deionization (CDI) method-the basic concepts

In fact we can treat a CDI cell as electrical circuit composed of 2 capacitors connected in a series + + + + + + +

  • +

+ + + + + +

V

Rs Electrical charge Electrical charge ions Equivalent electrical circuit- CDI cell

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SLIDE 12
  • In fact, in porous media the equivalent electrical circuit consists of a

line of Helmholtz capacitor in parallel

  • For example, pores in a size which is not accessible to the ion will

not contribute to the general capacitance and hence its capacitance should be treated separately

Capacitive deionization (CDI) method-the basic concepts

Equivalent electrical circuit of porous carbon electrode

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SLIDE 13

Carbon electrode preparation The basic concept of CDI

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SLIDE 14

Step 1: Carbonization: Material with carbon content is pyrolyzed at temperatures in the range 600–900 °C, in absence of oxygen (usually in inert atmosphere with gases like argon or nitrogen) Step 2: Activation/Oxidation: The carbonized material is exposed to

  • xidizing atmospheres (steam or carbon dioxide) at temperatures

above 250 °C, usually in the temperature range of 600–1200 °C,

  • Activation, is in fact, a partial turnoff, where weak bonds in the

amorphous carbon (SP3, especially at the edge plane) are attacked leaving beyond a “pore”. The preparation of porous carbon electrode

Development of the pores as function of time

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SLIDE 15

The electrode preparation

Jeans cloth

Carbonation

Carbon cloth

Activation

Porous carbon cloth electrode

High surface area (~1500-2000 m2/gr’ (BET))

Capacitive deionization (CDI) method-the cell assembling

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SLIDE 16

The (theoretical) potential of CDI as an energy efficient desalination method

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SLIDE 17
  • Brackish water or briny water is water that has more salinity than fresh water, but

not as much as seawater

Brackish water

  • Technically, brackish water contains between 0.5 and 30 grams of salt per litre
  • Some seas and lakes are brackish. For example, The Baltic Sea is a brackish

sea.

  • In Israel, many drinking wells were contaminated (salted) and became

“brackish” the last years and had to be shut down.

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SLIDE 18

Comparison between RO and CDI

energy consumption vs. water salinity

Capacitive deionization (CDI) method-the basic concepts

Energy consumption kWh/m3 ppm NaCl

  • In terms of energy consumption, CDI may be a good competitor to

RO in the brackish water zone

  • The calculations based on and

assuming 100% charge efficiency

2

2 1 V C E  

F Q salt removed n    ) _ (

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SLIDE 19

The basic concept of CDI Typical CDI reactor structure

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SLIDE 20

A typical flow through CDI cell

Grafoil (current collector) Teflon gasket (“absorb the pressure) The carbon electrode (cloth in this case) separator

+ terminal

  • terminal

The CDI reactor

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SLIDE 21

The basic concept of CDI

Typical CDI setup

  • In general, the variable parameters are the numbers of carbon electrodes

Feed water, flow rates, Potential differences application.

Feed (salty) water reservoir

pH and conductivity probes (translated to concentration) V CDI reactor Pump

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SLIDE 22

CDI - Analytical part

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SLIDE 23

Assessing the carbon electrode capacitance by cyclic voltammetry

  • The differential capacitance, C is defined –C= dq/dE
  • The electrode PZC is determined as the immersion potential vs, Ref

electrode once the electrode is brought into contact with the salty solution

  • Since C=dq/dE an I=dq/dt  C=I/(dv/dt).
  • dV/dt is a constant and equals to the CV scan rate.
  • The I –E plot could be replaced to C-E plot by dividing the I axis by the

scan rate Steady state CV of carbon cloth at 0.1M NaCl

dt dq I / 

Anion adsorption Cation adsorption

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SLIDE 24

Charge-discharge cycling

  • The performance of a CDI system is mostly characterized by applying

potential steps or charge – discharge cycling

  • The outputs are i-t curves and concentration – time curves

time Voltage

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SLIDE 25

time The integration of this area coupled by the flow rates gives the removed salt in moles Feed concentration

 

  dt dV dn dt C

t cons dt dV tan / 

t cons dt dV tan 

Charge-discharge cycling

Concentration – time curve

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SLIDE 26

i-t curves

  • From i-t curves we can calculate the columbic efficiency of the process
  • We can also observed for any parasitic reactions that may take place
  • ver the electrodes (water electrolysis as a simple example)
  • C-t curves are also good indication for the long-term stability of the system
  • Changes at the pH value may imply on parasitic reaction such as oxygen reduction

Charge-discharge cycling

100 (%)    

 Idt

F n effiency

Removed salt (in moles) Faraday constant

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SLIDE 27

Energy consumption

  • In order to evaluate the energy consumption of a given CDI system ,
  • ne should adjust first the CDI system to decrease the salt

concentration of the feed solution to a fixed value- for example – from 100ppm to 250 ppm NaCl..

  • The energy consumption (in kWh) which is easily calculated is normalized to

a 1 cubic meter

  • For example a plant mounted in China reports on energy consumption
  • f<1kW/m3 where the feed water contains 1000ppm and the desalted water –

250ppm

  • So, Energy consumption is expressed in terms of kWh/m3 for range at

which the concentration of the feed water are to be decreased (and not the total amount of extracted salt)

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SLIDE 28

So, where can we go?

  • Fabrication of highly effective porous designed carbon electrodes for

minimizing the reactor volume and enhancing the salt adsorption capability.

  • Fabrication of pore designed carbon for fast electro-adsorption kinetics
  • New design of CDI reactor such as Flow electrodes (suspended carbon

particles)

  • Integration of CDI with other desalination methods
  • Investigation of the long term stability of CDI system (analogous to

fouling in reverse Osmosis) The Flow operation mode The potential application mode (restricted work potential window for example) Minimizing parasitic reactions Enhancing process efficiency

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SLIDE 29

Capacitive deionization (CDI) method-the cell assembling

The flow-through CDI cell Bouhadana, Y.; Avraham, E.; Soffer, A. ;Aurbach, D. AIChE 2010, 56, 779.

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SLIDE 30

Advantages and limitatons

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SLIDE 31

pores shape design by CVD technique

  • Selective Desalination
  • Most of the conventional desalination methods remove ions from the

water in non-selective way.

  • In case of home-based desalination devices, important trace minerals such as

calcium and magnesium ,minerals particularly necessary for a healthy nervous system and cardiovascular system, are not provided to the consumer at the recommended levels.

  • Since the ions are electro-adsorbed in the carbons’ pores, the pores could be tuned

to be in a size which doubly charged ions like magnesium and calcium could not penetrate the activated carbons’ pores.

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SLIDE 32

pores shape design by CVD technique

  • Selective Desalination

How Can we control the pores size to be in a size which could enable the entrance of Na+(0.35nm)and prevent entrance of Mg2+and Ca2+(0.7nm)?

  • The most common method for developing pores in carbon is called

“activation” or “partial burn-off”, which weak oxidizers like CO2 react with the carbon at elevated temperatures to create pores.

Carbon

Oxidizing agent

Elevated temperatures

SEM image of activated carbon fiber

  • As far as we increase the activation time the surface area increases too, but

the selectivity decreases. We aspire to create selective pores with high capacity

Development of the pores as function of time

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SLIDE 33

“Top Down approach”

  • By applying CVD technique , we can form a thin layer

which covers only the surface “mouth” , which can function as a surface barrier for Ca2+ and Mg2+ , and thus, we can retain the high surface area of the carbon

pores shape design by CVD technique

  • Selective Desalination
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SLIDE 34

CV with 0.1M CaCl2 before CVD treatment CV with 0.1M CaCl2 after CVD treatment Adsorption isotherms of the carbon before and after CVD treatment

pores shape design by CVD technique

  • Selective Desalination

Avraham, E.; Bouhadana, Y.; Soffer, A.; Aurbach, D. J. Phys.Chem.C. 2008, 112, 7385 .

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SLIDE 35

The feasibility of boron removal from water by CDI.

  • Boron, mainly, takes two forms at water: boric acid and borate ion.
  • In natural pH water, the dominant form is the boric acid
  • The high level for boron at drinking water according to WHO (World

Health Organization) is 2.4mg/l.

  • The lack in charge and hydration shell, makes the removal of boron by a

conventional membrane in RO much difficult and that is why the pH of the boron contaminated water should be adjusted to high basic value.

0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 7 7.5 8 8.5 9 9.5 10 10.5 11

pH

Boric acid Borate ion 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 7 7.5 8 8.5 9 9.5 10 10.5 11

pH

Boric acid Borate ion Boric acid Borate ion

Degree of dissociation of boric acid upon pH.

3 2 4 3

( ) 2 ( ) B OH H O B OH H O

 

 

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SLIDE 36

The feasibility of boron removal from water by CDI. Why can capacitive deionization serve as efficient boron remover?

  • Most of the interaction in CDI, in the frame of the water electrolysis potential, are

electrostatic.

  • The pair of electrodes in the CDI cells can electro-adsorb very effectively charged

species from water.

  • A minor part of the charge, passed between the electrodes, during the potential difference

application, is consumed for surface Red-Ox reactions or oxygen reduction, which mostly involved with pH changes.

  • Since the electrodes are highly porous, the ratio

between the surface and volume within the pores might be sufficiently high for the development of local temporary significant pH within the pores.

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SLIDE 37

The feasibility of boron removal from water by CDI.

How can we confirm and evaluate local pH within the pores?

  • Any depletion of ions from the solution should result with a gradual

decrease at the concentration/time profile.

  • In these conditions: 0.05M of MgCl2, potential difference of -1V, flow

rate of 0.25ml/s, the developed pH over the negatively polarized electrode, is qualitatively to be , approximately to be in a pH about 9.

  • MgCl2 as a probe.

0.0510 0.0515 0.0520 0.0525 0.0530 0.0535 0.0540 0.0545 0.0550 0.0555

3012 4012 5012 6012 7012 8012 9012

0.0510 0.0515 0.0520 0.0525 0.0530 0.0535 0.0540 0.0545 0.0550 0.0555

3012 4012 5012 6012 7012 8012 9012

2 3 4 5

cycle number concentration (mol / g)

charge

discharge

MgCl2 concentration/time profile during charge-discharge cycles

charge discharge

vent Gas in

Reactor

Peristaltic pump Conductivity probe Lo Hi Back-pressure regulator 100mb, 100mb Expansion vessel & bubbler

The analytical set up

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SLIDE 38

The feasibility of boron removal from water by CDI.

Boron removal- proposed mechanism.

  • Boron (boric acid) at concentration of 500 mg/l was introduced to the

system with the presence of NaCl. The flow rate was adjusted to 0.25ml/s.

  • A decrease of 30% at the boron concentration was obtained, very similar to

the decrease at the sodium and chloride.

  • + + + + + + + + +

V

1

B OH OH OH B OH OH OH B OH OH OH

  • + + + + + + + + +

V

2

B OH OH OH

B OH OH OH OH

  • B

OH OH OH OH

  • + + + + + + + + +

V

3

B OH OH OH

B OH OH OH OH

  • B

OH OH OH OH

  • Avraham, E.; Noked, M.; Soffer, A.; Aurbach, D. Electrochem .Acta. 2011, in press.
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SLIDE 39

“Rocking Chair” phenomenon in CDI

charge discharge

desalted water waste water

+

  • +

+ + + + + + +

  • +

+ + + +

  • The conventional work mode.
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SLIDE 40

“Rocking Chair” phenomenon in CDI

The charge consumption

  • Electrical charge added to an electrode upon polarization

is balanced not only by adsorbed counter-ions, but also by the desorption of the co-ions .

) (

 

    d d F dq

counter ion adsorption co-ion desorption

Adsorption of anions is defined with positive sign

Faraday constant This is the charge delivered between the electrodes during potential difference application

(for monovalent salt)

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SLIDE 41

“Rocking Chair” phenomenon in CDI

  • In this case, illustrated here, no removal of salt from water is
  • btained!
  • The charge efficiency is defined as the charge consumed for

salt removal divided by the overall charge consumed during the potential difference application.

  • In this case, illustrated here, the charge efficiency is zero.

+ + + + + +

  • _

+ + + + + +

  • _

+ + + + + +

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SLIDE 42

“Rocking Chair” phenomenon in CDI How can we calculate the amount of counter ion adsorption and co-ion desorption on/from the carbons’ pores system?

A schematic illustration of the analytical setup

vent Gas in

Reactor

Peristaltic pump Conductivity probe Lo Hi Back-pressure regulator 100mb, 100mb Expansion vessel & bubbler

carbon electrode

Ag/AgCl mesh Ag/AgCl mesh

working counter reference 0.1M NaCl Avraham, E.; Bouhadana, Y.; Soffer, A.; Aurbach, D. J. Electrochem. Soc. 2009, 156, 95.

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SLIDE 43

“Rocking Chair” phenomenon in CDI How can we calculate the amount of counter ion adsorption and co-ion desorption on/from the carbons’ pores system?

During positive polarization of the working electrode

+

Cl-

 

   Cl Ag e AgCl

Cl- carbon electrode

+

 

   Cl Ag e AgCl

Cl- Na+ carbon electrode

During negative polarization of the working electrode

  • Na+

Cl- carbon electrode

   e AgCl Cl Ag

+

  • Cl-

Cl- carbon electrode

 

   e AgCl Cl Ag

+

  • Adsorption or desorption of Na+ within the carbons’ pores changes the

solution concentration while adsorption or desorption of Cl- do not change the concentration of the solution.

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SLIDE 44

“Rocking Chair” phenomenon in CDI How can we calculate the amount of counter ion adsorption and co-ion desorption on/from the carbons’ pores system?

V dC dNa  

The change in the adsorption/desorption of cations in the solution The change in the solution concentration The solution volume (constant) The change in the moles of the solution

Monitoring the change in the solution concentration upon the application of potential difference Calculating the charge delivered between the electrodes upon the application of potential difference

  • So, at any potential applied the changes at the amount
  • f counter / co –ion adsorbed within the carbons’

pores can be precisely calculated.

) (

  

 dNa dCl F dq

measurable

V dC dNa  

( )

V dC dNa  

( ) measurable

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SLIDE 45

From one activated carbon ion adsorption characteristics curves to a complete symmetrical CDI cell.

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3 moles adsorbed 10-3

moles of ions adsorbed E(V vs. Ag/AgCl/Cl-) Cl- Na+

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3 moles adsorbed 10-3

moles of ions adsorbed E(V vs. Ag/AgCl/Cl-)

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3 moles adsorbed 10-3

moles of ions adsorbed E(V vs. Ag/AgCl/Cl-) Cl- Na+

+0.3V

  • 0.3V

Lost of charge Lost of charge

CDI cell upon application of potential difference of 0-600mV

Positively polarized electrode Negatively polarized electrode

  • The charge efficiency is found to be below 40%.

Avraham, E.; Noked, M.; Bouhadana, Y.; Soffer, A.; Aurbach, D. J. Electrochem. Soc. 2009, 156, 157.

slide-46
SLIDE 46

CDI cell upon application of potential difference of 300-600mV

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3 moles adsorbed 10-3

moles of ions adsorbed E(V vs. Ag/AgCl/Cl-) Cl- Na+

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3 moles adsorbed 10-3

moles of ions adsorbed E(V vs. Ag/AgCl/Cl-)

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3

  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4 0.5

  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 0.4

V(Volts) Vs. Ag/AgCl moles adsorbed 10-3 moles adsorbed 10-3

moles of ions adsorbed E(V vs. Ag/AgCl/Cl-) Cl- Na+

  • 0.15V

+0.15V This domain has derivate

dE dCl

From one activated carbon ion adsorption characteristics curves to a complete symmetrical CDI cell.

Positive electrode Negative electrode

  • The charge efficiency is found to be above 70%.

Avraham, E.; Noked, M.; Bouhadana, Y.; Soffer, A.; Aurbach, D. J. Electrochem. Soc. 2009, 156, 157.

slide-47
SLIDE 47

“Rocking Chair” phenomenon in CDI Charge efficiencies as a function of the working potential domains.

10 20 30 40 50 60 70 80

  • .

. - . . - . . - . . - .

Charge efficiency (%) Working potential domain

Avraham, E.; Noked, M.; Bouhadana, Y.; Soffer, A.; Aurbach, D. J. Electrochem. Soc. 2009, 156, 157.

slide-48
SLIDE 48

“Rocking Chair” phenomenon in CDI Salt removal capacity as a function of the working potential domains.

  • The salt removal capacity of the CDI cell decreases with the

decrease at the working potential domain.

Avraham, E.; Noked, M.; Bouhadana, Y.; Soffer, A.; Aurbach, D. J. Electrochem. Soc. 2009, 156, 157.

slide-49
SLIDE 49

“Rocking Chair” phenomenon in CDI-surface treatment

  • Recently, there were suggestions for considering the integration
  • f ion exchange membrane within the CDI cell to improve the

charge utilization (referred as MCDI).

  • Combining ion exchange membrane within the CDI reactor

may result with high resistance, expanding the CDI volume, not mentioning the high cost of ion exchange membrane compared to activated carbon.

  • We can , theoretically, by surface treatment to enforce the

electrode to work at domains which desorption of co-ions are negligible.

Schematic illustration of MCDI

slide-50
SLIDE 50

E

PZC

E

E

PZC

E

E

PZC

E

PZC

E

PZC

untreated carbon

reduced carbon

  • xidized carbon
  • The surface treatments should result in a re-location of the carbons’

PZC and also in a shift at the ion adsorption characteristics curves among the potential scale.

“Rocking Chair” phenomenon in CDI-surface treatment

slide-51
SLIDE 51

E

PZC

E

PZC

E

PZC

POSITIVE ELECTRODE NEGATIVE ELECTRODE short circuit potential

  • In this way we enforce the electrodes to work at domains which

the desorption of co-ions is negligible.

charge charge

“Rocking Chair” phenomenon in CDI-surface treatment

Avraham, E.; Noked, M.; Bouhadana, Y.; Soffer, A.; Aurbach, D. Electrochem .Acta. 2010, 56, 441.