Surface Chem
Surface Chem
PARTICLE SIZE :
                    Particle size    < 1nm diameter                 1 - 1000nm diameter                   > 1000nm diameter
                                        True solution                    Colloids                               Suspension
PHASE OF COLLOIDS :
      A colloidal system is heterogeneous in character. It consists of two phases, namely a dispersed phase and a
      dispersion medium.
  (a) Dispersed Phase: It is the component present in small proportion and is just like a solute in a true solution. For
      example, in the colloidal state of sulphur in water, the former acts as a dispersed phase.
  (b) Dispersion Medium: It is normally the component present in excess and is just like a solvent in a solution.
      The particles of the dispersed phase are scattered in the dispersion medium in a colloidal system.
CLASSIFICATION OF COLLOIDS:
      Colloids can be classified in a number of ways based upon some of their important characteristics.
      *     A colloidal system in which the dispersion medium is a liquid or gas are called sols. They are called hydrosols or
            aqua sols, if the dispersion medium is water. When the dispersion medium is alcohol or benzene, they are
            accordingly called alcosols or benzosol.
      *     Colloidal systems in which the dispersion medium is a gas are called aerosols.
      *     Colloids in which the dispersion medium is a solid are called gels, e.g. cheese etc. They have a more rigid
            structure. Some colloids, such as gelatin, can behave both as a sol and a gel. At high temperature and low
            concentration of gelatin, the colloid is a hydrosol. But at low temperature and high gelatin concentration, the
            hydrosol can change into a gel.
E M RAO                                                                                                                       1
(2)       Based on interaction or affinity of phases: On the basis of the affinity or interaction between the dispersed
          phase and the dispersion medium, the colloids may be classified into two types:
      (i) Lyophilic Colloids: The colloidal system in which the particle of dispersed phase have great affinity for the
          dispersion medium, are called lyophilic (solvent-loving) colloids. In such colloids, the dispersed phase does not
          get easily precipitated and the sols are more stable. Such colloidal systems, even if precipitated (say by
          evaporation), may be reconverted to the colloidal state by simply agitating them with the dispersion medium.
          Hence lyophilic colloids are reversible. When the dispersion medium is water, these are called hydrophilic
          colloids. Some common examples of lyophilic colloids are gum, gelatin, starch, rubber, proteins, etc.
    (ii) Lyophobic colloids: The colloidal system in which the dispersed phase have no affinity for the dispersion
         medium are called lyophobic (solvent hating) colloids. They are easily precipitated (or coagulated) on the addition
         of small amounts of the electrolyte, by heating or by shaking. They are less stable and irreversible. When the
         dispersion medium is water, these are known as hydrophobic colloids. Examples of lyophobic colloids include
         sols of metals and their insoluble compounds like sulphides and oxides. Upon the addition of electrolytes,
         lyophilic sols undergo coagulation and precipitation.
(3)      Based on type of particles of the dispersed phase: Depending upon the molecular size, the colloidal system has
         been classified into three classes:
    (i) Multimolecular colloids : The multimolecular colloidal particles consists of aggregate of atoms of small
    molecules with diameters less than 109 m or 1 nm. For example, a sol of gold contains particles of various sizes
    having several atoms. A sol of sulphur consists of particles containing a thousand or so S8 molecules. These particles
    are held together by van der Waal's forces. These are usually lyophobic sols.
    (ii) Macromolecular colloids: The macromolecular colloidal particles themselves are large molecules. They have
    very high molecular weights varying from thousands to millions. These substances are generally polymers. Naturally
    occurring macromolecules are such as starch, cellulose and proteins. Artificial macromolecules are such as
    polyethylene, nylon, polystyrene, dacron, synthetic rubber, plastics, etc. The size of these molecules are comparable to
    those of colloidal particles and therefore, their dispersions are known as macromolecular colloids. Their dispersion
    also resemble true solutions in some respects.
      (iii) Associated colloids or Micelles: These colloids behave as normal electrolytes at low concentrations
      but as colloids at higher concentrations. This is because at higher concentrations, they form aggregated
      (associated) particles called micelles. Soap and synthetic detergents are examples of associated colloids.
      They furnish ions which may have colloidal dimensions.
          The micelles are formed by the association of dispersed particles above a certain concentration and certain
      minimum concentration is required for the process of aggregation to take place. The minimum concentration required
      for micelle formation is called critical micelle concentration (CMC) and its value depends upon the nature of the
      dispersed phase. The formation of micelles also require a minimum temperature known as Kraft temperature (TK).
Mechanism of Micelle Formation:
     Micelles are formed by surface active molecules called surfactants such as soaps and detergents. These
     molecules have lyophilic group at one end and a lyphobic group at the other end. Let us take the
     example of a soap (say sodium oleate, C17H33COO-Na+) in water. The long hydrocarbon part of oleate
                                                       -
     radical (C17H33) is lyophobic end while COO part is lyophilic end. When the concentration of the
     solution is below its CMC, sodium oleate behaves as a normal electrolyte and ionizes to give
                  -
     C17H33COO and Na+ ions. When the concentration exceeds CMC, the lyophobic part starts receding
                                                                                         -
     away from the solvent and tends to approach each other. However, the polar COO ends tends to interact
     with the solvent (water). This finally leads to the formation of bigger molecules having the dimensions
     of colloidal particles. Thus 100 or more oleate ions are grouped together in a spherical way keeping their
                                              -
     hydrocarbon parts inside and the COO part remains projected in water.
E M RAO                                                                                                                   2
                 LIST OF SURFACTANTS AND THEIR CRITICAL MICELLE CONCENTRATION (CMC)
Cationic
       CH3(CH2)9NH3Cl                                   8.5                             25
       CH3(CH2)11NH3Cl                                  2.7                             3050
       CH3(CH2)7N(CH3)3Br                               7.8  10 1                      25
       CH3(CH2)11N(CH3)3Br                              5.4                             25
Non-ionic
       CH3(CH2)7C6H11O6                                 7.3                             25
       C12H20O9(C16H31O2)2                              1.1.  102                     20
       CH3(CH2)10COOC12H21O10                           7.1  10 3                     50
(2)     Preparation of lyophobic sols: To get a substance in colloidal form either the substance in bulk is broken down
        into fine particles of colloidal dimension (1 to 103 ) or increasing the size of molecular particles as to form
        larger aggregates. In some cases, a third substance is usually added to increase the stability of the sol. These
        substances are called stabilizers. Thus, there are two ways by which the lyophobic sols can be prepared:
        (i) Dispersion methods: By splitting coarse aggregates of a substance into colloidal size.
        (ii) Condensation methods: By aggregating very small particles (atoms, ions or molecules) into colloidal size.
        S. No.          Dispersion methods                      Condensation methods
        1.              Mechanical dispersion                   1.      Exchange of solvents
        2.              Electrodispersion                      2.      Change of physical state
        3.              Ultrasonic dispersion                   3.      Chemical methods:
                                                                        (i) Double decomposition
                                                                        (ii) Oxidation
                                                                        (iii) Reduction
                                                                        (iv) Hydrolysis
E M RAO                                                                                                                 3
      (i) Dispersion Methods
(1)      Mechanical dispersion: Solid material is first finely ground by usual methods. It is then mixed with dispersion
         medium which gives a coarse suspension. The suspension is now introduced into the colloid mill. The simplest
         form of colloid mill consists of two metal discs held at a small distance apart from one another and capable of
         revolving at a very high speed (about 7000 revolutions per minute) in opposite directions. The particles are
         ground down to colloidal size and are then dispersed in the liquid. A stabilizer is often added to stabilize the
         colloidal solution. Colloidal graphite (a lubricant) and printing ink are made by this method. Tannin is used as a
         stabilizer in the preparation of colloidal graphite and gum Arabic in lampblack colloidal solution (Indian ink).
(2)      Electro-dispersion (Bredig's arc method): This method is suitable for the preparation of colloidal
         solutions of metals like gold, silver, platinum, etc. An arc is struck between the metal electrodes under
         the surface of water containing some stabilizing agents such as a track of KOH. The water is cooled by
         immersing the container in an ice bath. The intense heat of the arc vaporizes some of the metal which
         condenses under cold water.
(3)      Peptization: The dispersion of a freshly precipitated material into colloidal solution by the action of an
         electrolyte in solution is termed peptization. The electrolyte used is called a peptizing agent.
         A few examples of sols obtained by peptization are:
         (i) Freshly prepared ferric hydroxide on treatment with a small amount of ferric chloride solution at once
         forms a dark reddish brown solution. Ferric chloride acts as a peptizing agent.
         (ii) Freshly prepared stannic oxide on treatment with a small amount of dilute hydrochloric acid forms a
         stable colloidal solution of stannic oxide.
         (iii) Freshly precipitated silver chloride can be converted into a colloidal solution by a small amount of
         hydrochloric acid.
         (iv) Cadmium sulphide can be peptized with the help of hydrogen sulphide.
         (v) Cellulose is peptised by the addition of organic solvents, such as ethanol-ether mixture, leading to
         familiar collodion sol. In this example, the solvent itself is peptizing agent.
                  The process of peptization thus involves the adsorption of suitable ions (supplied by the
         electrolyte addedparticularly a common ion) and electrically charged particles then split from the
         precipitate as colloidal particles.
(1)      Chemical methods: The chemical methods involve chemical reactions in a medium in which the dispersed phase
         is sparingly soluble. A condition of supersaturation is produced but the actual precipitation is avoided. Some
         familiar reactions used are:
         (a) Double decomposition: (i) Arsenious sulphide sol: A 1% solution of arsenious oxide is prepared in hot water.
         The solution is cooled, filtered and is then gradually in hot water saturated with hydrogen sulphide. This is
         continued till an intense yellow-colored solution is obtained. Excess of H2S is removed by bubbling hydrogen
         through the solution.
                                  As2O3 + 3H2S      As2S3 + 3H2O
                                                         Yellow sol
         (ii) Antimony sulphide sol: A 0.5% solution of potassium antimonyl tartarate is added drop by drop to water
         saturated with H2 S, whilst H2S is being passed through the solution. Orange colored solution of antimony
         sulphide is obtained.
                                 CH(OH)COOK                      CH(OH)COOK
                                2                  + 3H2S       2
                                 CH(OH)COO(sbO)                  CH(OH)COOH + Sb2S3 + 2H2O
                                                                             Orange sol
E M RAO                                                                                                                  4
       (b) Oxidation: A colloidal solution of sulphur is obtained by passing H2O into a solution of sulphur dioxide.
                        2H 2S+SO 2 
                                     2H 2 O+3S (sol)
       Sulphur sol can also be obtained when H2S is bubbled through an oxidising agent (bromine water or nitric acid).
       (c) Reduction: Colloidal solutions of metals like gold, silver, platinum, lead, etc., can be obtained when their salts
       solutions are acted upon by reducing agents.
               2AuCl3 + 3SnCl2       3SnCl4 + 2Au (sol)
       Organic reducing agents such as formaldehyde, phenyl hydrazine, tannic acid, etc., can also be used.
               AgNO3 + tannic acid      Silver sol
              AuCl3 + tannic acid      Gold sol
       (d) Hydrolysis: Colloidal solutions of some salts can be prepared by hydrolysis. A colloidal solution of ferric
       hydroxide is obtained by boiling a dilute solution of ferric chloride.
               FeCl3 +3H 2 O 
                               Fe(OH)3 (red coloured sol) +3HCl
Charge on colloidal particles: Majority of the colloidal particles are found to be charged which is proved by the
      migration of colloidal particles during electrophoresis.
  Origin of charge: Various reasons have been given regarding the origin of charge on the colloidal particles.
E M RAO                                                                                                                    5
        Examples:
           1. When silver nitrate solution is added to KI solution, the precipitated AgI adsorbs iodide ions
               from the dispersion medium and the colloidal particles become negatively charged. However,
               when KI is added to AgNO3 solution, the precipitated AgI adsorbs Ag+ ions from the
               dispersion medium and the colloidal particles become positively charged.
                       AgI/I-           AgI/Ag+
           2. When FeCl3 is added to hot water  Fe2O3.xH2O/Fe+3
               When FeCl3 is added to hot aqueous NaOH  Fe2O3.xH2O/OH-
    (iv) Capture of electron: It is from air during preparation of sol by Bredig's arc method.
    (v) Dissociation of molecular electrolytes on the surface of particles: H2S molecules get adsorbed on
        sulphides during precipitation. By dissociation of H2S, H+ ions are lost and colloidal particles become
        negatively charged.
E M RAO                                                                                                                     6
PROPERTIES OF COLLOIDAL SOLUTIONS:
      (a) Brownian movement: Colloids particles exhibit a ceaseless random and swarming motion. This kinetic activity
          of particles suspended in the liquid is called Brownina movement.
          Robert Brown first observed this motion with pollen grains suspended in water.
          Cause of movement: Brownian movement is due to bombardment of the dispersed particles by molecules of the
          medium. The Brownian movement (figure) depends upon the size of sol. particles. With the increase in the size of
          the particle, the chance of unequal bombardment decrease, and the Brownial movement too disappears. It is due to
          the fact that the suspension fails to exhibit this phe-nomenon.
          It should be noted that Brownian movement does not change with time but changes with temperatures.
      (b) Sedimentation: Heavier sol. particle tend to settle down very slowly under the influence of gravity. This
          phenomenon is called sedimentation.
      (a) Electrophoresis or Cataphoresis: In a colloidal solution, the colloidal particles are electrically charged and the
          dispersion medium has equal but opposite charge. Thus colloidal solution on the whole is electrically neutral.
          When an electric current is passed through a colloidal solution, the charged particles move towards the oppositely
          charged electrode and coagulate due to loss of charge.
                           The phenomenon involving the migration of colloidal particles under the influence of electric
          field towards the oppositely charged electrodes, is called electrophoresis or cataphoresis. Both lyophilic and
          lyophobic colloids show electrophoresis. This phenomenon is used to determine the charge on the colloidal
          particles. For example, when a sol of ferric hydroxide is taken in a U-tube and subjected to electric field, the ferric
          hydroxide (sol) particles get accumulated near the cathode. This shows that ferric hydroxide sol. particles are
          positively charged. The sol particles of metals and their sulphides are found to be negatively charged while those
          of metal hydroxides are positively charged. Basic dyes such as methylene blue, hemoglobin are positively charged
          while acid dyes like are negatively charged.
E M RAO                                                                                                                          7
   (b) Electro-osmosis: The phenomenon involving the migration of the dispersion medium and not the colloidal
       particles under the influence of an electric field is electro-osmosis.
       Take the pure solvent (dispersion medium) in two limbs of U-tube. In the lower middle portion of
       U-tube, a porous diaphragm containing the colloidal system is present which divides the U-tube in two sections.
       In each section of U-tube, an electrode is present, as shown in figure. When the electrode potential is applied to
       the electrodes, the solid phase of sol. (colloidal system) cannot move but the solvent (dispersion medium) moves
       through the porous diaphragm towards one of the electrodes. The direction of migration of dispersion medium due
       to electro-osmosis determines the charge on sol. particles e.g., if the dispersion medium moves towards the
       cathode (negative electrode), the sol. particles are also negatively charged because the dispersion medium is
       positively charged as on the whole colloidal solution is neutral.
   (c) Coagulation/flocculation: the colloidal sols are stable due to the presence of electric charges on the colloidal
       particles. Because of the electrical repulsion, the particles do not come close to one another to form precipitates.
       The removal of charge by any means will lead to the aggregation of particles and hence precipitation will occur
       immediately.
       The process by means of which the particles of the dispersed phase in a sol. are pecipitated is known as
       coagulation.
       If the coagulated particles instead of settling at the bottom of the container, float on the surface of the dispersion
       medium, the coagulation is called flocculation.
       Most of the sols are coagulated by adding an electrolyte of opposite sign. This is due to the fact that the colloidal
       particles take up the ions of electrolyte whose charges are opposite to that on colloidal particles with the result
       that charge on the colloidal particles is neutralized. Thus coagulation takes place. For example, arsenius sulphide
       sol (negatively charged) is precipitated by adding barium chloride solution. It is due to the fact that the negatively
       charged particles of the sol adsorp barium ions and get neutralized which lower the stability. As a result
       precipitation takes place.
       It is observed that different amounts of different electrolytes is required to bring coagulation of a particular
       solution. The minimum amount of an electrolyte required to cause precipitation of one litre of a colloidal solution
       is called coagulation value or flocculation value of the electrolyte for the sol. The reciprocal of coagulation
       value is regarded as the coagulating power.
       For example, the coagulation values of NaCl, BaCl2 and AlCl3 for arsenic sulphide sol. are 51, 0.69 and 0.093
       millimoles/litre respectively. Thus their coagulating powers are, and i.e., 0.0196, 1.449 and 10.75 respectively.
       The coagulation values of a few electrolytes for negatively charged arsenic sulphide and positively charged ferric
       hydroxide sol. are given in table given below. The valency of the coagulation ion (the ion whose charge is
       opposite to that of the colloidal particles) is also give.
                                       Coagulation values of different electrolytes
       From the above table, it is clear that the coagulating power of Al3+ ions in precipitating the arsenic sulphide sol.
       is approximately 550 times more than that of sodium (Na+) or potassium (K+) ions. Again, it is observed that the
       negatively charged arsenic sulphide sol. is coagulated by cations while positively charged ferric hydroxide sol. is
       coagulated by anions.
E M RAO                                                                                                                    8
      Hardy-Schulz rules: H. Schulze (1882) and W.B. Hardy (1900) suggested the following rules to discuss the
      effect of electrolytes of the coagulation of the sol.
(1)   Only the ions carrying charge opposite to the one present on the sol. particles are effective to cause coagulation,
      e.g., the negative charged sol. is best coagulated by cations and a positive sol. is coagulated by anions.
                   Au                          NaCl
                                                                   Au                     No precipitation
                                                        Na+
                                                                            Na+
Gelatin film
                   Gold number of a protective colloid is a minimum weight of it in milligrams which must be added to 10
                   ml of a standard red gold sol so that no coagulation of the gold sol (i.e. change of color from red to blue)
                   takes place when 1 ml of 10 % sodium chloride solution is rapidly added to it. Smaller the gold number
                   of a protective colloid, the greater is the protective action.
E M RAO                                                                                                                      9
        Some other methods of coagulation:
           Apart from the addition of electrolyte, coagulation can also be carried out by following methods:
(i)         By persistent dialysis: It has been observed that traces of electrolytes are associated with the solution due to
            which it is stable. If the solution is subjected to prolonged dialysis, the traces of electrolytes are removed and
            coagulation takes place.
(ii)        By mutual coagulation of colloids: When two sols of oppositively charges are mixed together in a suitable
            proportion, the coagulation takes place. The charge of one is neutralized by the other. For example, when
            negatively charged arsenic sulphide sol. is added to positively charged ferric hydroxide sol., the precipitation of
            both occurs simultaneously.
(iii)       By electrical method: If the electrical charge of lyophobic sol. is removed by applying any electric field such as
            in electrophoresis, they also precipitate out.
(iv)        By excessive cooling or by excessive heating.
(4)         Colligative properties: Colloidal solutions too exhibit colligative properties such as osmotic pressure, lowering
            of vapour pressure, depression in freezing point and elevation in boiling point. But the effect of colloidal particles
            on colligative properties except osmotic pressure is very small. This is due to the large size of colloidal particles.
            The number of colloidal particles produced by a given mass of colloid is much less than the number produced in a
            molecular solution, containing the same mass of solute. Hence the colligative effect in colloidal solutions is too
            less.
                                                             EMULSIONS
         An emulsion is a colloidal solution of a liquid. It may be defined as a heterogeneous system consisting of more
         than one immiscible liquids dispersed in one another in the form of droplets whose diameter, in general, exceeds
         0.1 m.
         For example, milk is an emulsion in which small drops of liquid fat are dispersed in aqueous medium. Cod liver
         oil is an emulsion in which the water drops are dispersed in the oil. This means in most of the emulsions one of
         the liquid is water and the other liquid is oil. Here the term 'oil' is used to represent all organic substances which
         are soluble in water.
         The emulsion are classified as :
(1)      Oil in water type emulsion (O/W): In this emulsion, oil is the dispersed phase and water is the dispersion
         medium. It is denoted by O/W. For example, milk (liquid fat dispersed in water), vanishing cream, etc.
(2)      Water in oil typ : In this emulsion, water is the dispersed phase and oil is the dispersion medium. It is denoted by
         W/O. For example, butter, cod liver oil, cold cream, etc.
         The type of emulsion obtained by agitating two immiscible liquids depends upon the relative amounts of two
         components liquids. The liquid that is in excess forms the dispersion medium. Thus, the two types of emulsions
         can be interconverted into each other by changing the concentration of one of the liquids.
         Preparation of emulsion (Emulsification): Emulsification is the process which involves the preparation of
         emulsion. Generally, an emulsion is prepared by subjecting a mixture of the immiscible liquid to a distinct layers
         upon standing. The oil globules rise to form an upper layer while aqueous medium forms lower layers. To prevent
         the separation of layers and to get the stable emulsion, a small quantity of the third substance is added. This
         substance which stabilizes the emulsion is called emulsifier or emulsifying agent. The commonly used
         emulsifying agents are soaps, detergents and lyophilic colloids. Casein, a lyophilic colloid present in milk, acts as
         an emulsifier as it forms a protective layer around fat molecules dispersed in water. Hence milk is a fairly stable
         emulsion.
         Function of emulsifier: The main function of emulsifier or emulsifying agents is to lower the interfacial tension
         between oil and water and thus helps the intermixing of two liquids. For example, a molecule of a soap or
         detergent (emulsifier) gets concentrated at the interface between oil and water. The polar end of the emulsifier is
         in water and non-polar end is in oil as shown in figure.
         In a soap, RCOONa, R is the non-polar end, whereas COO Na+ is the polar end.
Properties of emulsion:
    (i) The size of particles of the dispersed phase of an emulsion is usually larger than in sols.
    (ii) Like colloidal particles, emulsions exhibit properties such as Tyndall effect, Brownian movement (provided the
         particles are not too large), electrophoresis, coagulation, etc.
E M RAO                                                                                                                        10
      Demulsification: The process which involves the breaking of an emulsion into two separate liquid layers is called
      demulsification. The following methods may be used to bring demulsification:
(1)   Chemical Methods: An emulsion may be demulsified by adding a chemical substance whose action on the
      dispersed phase and the dispersion medium is opposite to that of the original emulsifying agent used to produce
      the stable emulsion.
(2)   Centrifugation: Cream is separated from milk by the centrifugal method.
(3)   Cooling: Fat can be removed from milk by keeping it in a refrigerator for a few hours.
E M RAO                                                                                                             11
                                                       ADSORPTION
INTRODUCTION
      The tendency of accumulation of molecular species at the surface than in the bulk of a solid (or liquid) is
      termed adsorption. The molecular species or substance which concentrates or accumulates at the surface
      is termed adsorbate and the material on whose surface the adsorption takes place is called adsorbent.
DISTINCTION BETWEEN ADSORPTION AND ABSORPTION
      In adsorption the concentration of the adsorbate increases only at the surface of the adsorbent, while in
      absorption the concentration is uniform throughout the bulk of the solid.
      Adsorption is due to the fact that the surface particles of the adsorbent are in different state than the
      particles inside the bulk. Inside the adsorbent all the force acting between the particles are mutually
      balanced but on the surface the particles are not surrounded by atoms or molecules of their kind on all
      sides and hence they possess unbalanced or residual attractive forces. These forces of the adsorbent are
      responsible for attracting the adsorbate particle on its surface.
THERMODYNAMICS OF ADSOPTION
      Adsoption is always accompanied by decrease in entropy. As a result, to be spontaneous, adsorption is
      to be sufficiently exothermic.
TYPES OF ADSORPTION
      There are two main types of adsorption of gases on solids.
      If accumulation of gas on the surface of a solid occurs on account of weak van der Walls force, the
      adsorption is termed as physical adsorption or physi-sorption. When the gas molecules or atoms are
      held to the solid surface by chemical bonds, the adsorption is termed chemical adsorption or
      chemisorption. The chemical bonds may be covalent or ionic in nature. Chemisorption has a rather high
      energy of activation and is, therefore, often referred to as activated adsorption. Sometimes these two
      processes occur simultaneously and it is not easy to ascertain the type of adsorption. A physical
      adsorption at low temperature may pass into chemisorption as the temperature is increased. For example,
      hydrogen is first adsorbed on nickel by van der Walls force. Molecules of hydrogen then dissociate and
      hydrogen atoms are held on the surface by chemisorption.
Temperature
                                                                                                  Temperature
      6.   It increases with increase in pressure               6.   It also increases with increase in pressure
      7.   It is multilayered                                   7.   It is monolayered
E M RAO                                                                                                            12
       8.   It increases with increase in surface area     8.    It also increases with increase in surface area
       The relationship between physical and chemical adsorption is explained by the following potential
       energy diagram. It relates to the adsorption of hydrogen on a surface such as that of a metal.
       Physisorption occurs first, the intact molecules being held loosely by the van der Waals forces. The
       diagram shoes that initial physisorption is an important feature of the chemisorption process. If there
       were no physisorption, there would be much higher activation energy for the chemisorption; the process
       via the physisorbed stage is therefore always favoured.
ADSORPTION ISOTHERMS:
    An equation that relates the amount of a substance attached to a surface to its concentration in the gas
    phase or in solution, at a fixed temperature, is known as an adsorption isotherm.
LONGMUIRS ADSORPTION ISOTHERM
   Longmuirs isotherm depends upon the following assumptions.
   1. the surface area of the solid contains a fixed number of adsorption sites.
   2. each site can adsorb only one gas molecule and adsorption is monolayered.
   3. the heat of adsorption is identical to all sites.
   4. the adsorbed molecules/atoms do not interact with each other.
       Based on the above assumptions,
E M RAO                                                                                                       13
          rate of desorption = k d  k d - rate constant for desorption, -fraction of surface covered
          rate of adsorption = k a p(1-) k a - rate constant for adsorption ([A]can be written in the place of p)
          at equilibrium, rate of adsorption = rate of desorption
          k d  = k a p(1-)
                (k a /k d )p
          =
               1+(k a /k d )p
                k1p
          =         where k1is the equilibrium constant.
               1+k1p
                                                          [A]                                                1
                                                                                                            [A]
FREUNDLICH ADSORPTION ISOTHERM
      Systems that obey Longmuirs isotherm are often referred to as showing ideal adsorptions. Systems
      frequently deviate from Longmuir;s isotherm. For non-ideal systems, Freundlich, in 1909, gave an
      empirical relationship between the quantity of gas adsorbed by unit mass of solid adsorbent and pressure
      at a particular temperature. The relationship can be expressed by the following equation.
                                  Amount of gas adsorbed per
                                                                          78C
                                    gm of adsorbent (a)
                                                                              29C
                                                                                0C
Adsorption isotherm
                                                  1            1
                                           x      n
                                                        x
                                             =k.p or      =k.c n                ....(i)
                                           m           m
      where x is the mass of the gas adsorbed on a mass m of the adsorbent at a pressure P. k and n are
      constants which depend on the nature of the adsorbent and the gas at a particular temperature. The value
      of n is always greater than one.
                                                                         Y
                                                                                                        1
                                                                                             b Slope = 
                                                                                                        n
                                                                                          a
                                                                      Log m
                                                                          x
log k (Intercept)
                                                                          O                            X
                                                                                  Log P
                                                                              Freundlich isotherm
E M RAO                                                                                                              14
      Freundlichs adsorption isotherm is also valid for the adsorption of a solution on a solid surface. The
      only difference is that the pressure term is replaced by concentration term.
                                                            1
                                                     x
                                                       =k.C n
                                                     m
E M RAO 15