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Surface Tensions
&
Measurement of
Surface Tensions
Liquid Interfaces
2
• Interface is the boundary between two phases.
• Surface is a term used to describe either a gas-solid or a
gas- liquid interface.
• Interfacial phase is a term used to describe molecules
forming the interface between two phases which have
different properties from molecules in the bulk of each
phase.
Surface Tension
• Molecules in the bulk liquid are surrounded in all directions by
other molecules for which they have an equal attraction (only
cohesive forces).
• Molecules at the surface can only
develop cohesive forces with other
molecules that are below and
adjacent to them; and can develop
adhesive forces with molecules of the
other phase.
3
Inwardpull
Surface Tension
This imbalance in the molecular attraction
will lead to an inward force toward the
bulk that pulls the molecules of the
interface together and contracts the
surface, resulting in a surface tension.
4
Definition
• The surface tension (γ) is the force per unit length acting along
the surface of a liquid at right angles to counterbalance the
net inward pull
• A unit of surface tension in CGS system is dynes per
centimetre (dyne cm–1).
Interfacial Tension
• Interfacial tension is the force per unit length existing at the
interface between two immiscible phases (units are dynes/cm
or N/m).
• The term interfacial tension is used for the force between:
6
Two liquids = γLL Solid liquids = γSL
Interfacial Tension
• The term surface tension is reserved for the tensions:
Liquid-vapor = γ
Solid-vapor = γ
• Interfacial tensions are weaker than surface tensions because
the adhesive forces between two liquid phases forming an
interface are greater than that between liquid and gas phase
7
Surface Free Energy
Each molecule of the liquid has a tendency to move inside the liquid from
the surface; therefore, when the surface is increased, the liquid takes the
form with minimal surface and as a result, minimal surface energy:
8
Sphere shape
Surface Free Energy
The surface layer of a liquid possesses additional energy as compared to the
bulk liquid.
If the surface of the liquid increases (e.g. when water is broken into a fine spray), the
energy of the liquid also increases.
Because this energy is proportional to the size of the free surface, it is called
a surface free energy:
𝑾= 𝜸 ∆ 𝑨
𝑾 Surfacefree energy (ergs)
𝜸 surface tension (dynes/cm)
∆ 𝑨 increase in area (cm2).
Therefore, surface tension can also be defined as the surface free energy per unit area of
liquid surface.
Measurement of Surface Tensions
• Drop Count method
• Drop weight method
Measurement of Surface Tensions
𝜸 surface tension
𝒓 radius of capillary
𝒉 height
𝒑 density of the liquid
𝒈 acceleration of gravity
This method cannot be used to obtain interfacial tensions.
Capillary Rise Method
When a capillarytube is placed in a liquidcontained in a
beaker, the liquid rises up in the tube to a certain distance.
By measuring this rise in the capillary, it is possible to
using thedetermine the surface tension of the liquid
formula:
𝜸 = ½ 𝒓 𝒉 𝒑 𝒈
11
Measurement of Surface Tensions
The DuNoüy Ring Method
The force necessary to detach a
platinum–iridium ring immersed at the
surface or interface is proportional to the
surface or interfacial tension. The
surface tension is given by the formula:
The DuNoüy tensiometer is widely
used for measuring surface and
interfacial tensions.
Spreading of
Liquid &
Spreading
Coefficient
Spreading of liquid
• When Oleic acid dropped on water, it immediately spreads on
the surface of water
• Oleic Acid – Spreading Liquid (L)
• Water – Sub-layer Liquid (S)
• Generally spreading occurs when adhesive force is more
than cohesive force
Spreading Coefficient • Work of Cohesion (Wc) may be
defined as the surface free energy
increased by separating a column of
pure liquid into two halves
• Surface free energy change = γ dA
• Wc = γL (dA+dA) = 2 γLdA
• Here the column is of cross sectional
area is 1cm2 (dA= 1cm2)
• Wc = 2 γL
• Work of Adhesion (Wa) may be defined
as the surface free energy increased by
separating a column of two immiscible
liquids at its boundary into two sections
• As two sections of immiscible liquids
are already separated by a boundary, the
energy requirement will be less by an
amount γLS dA
• Wa = γLdA + γS dA - γLS dA
• Here the columns are of cross sectional
area 1cm2
• Wa = γL + γS - γLS
Spreading Coefficient
Spreading coefficient
• Spreading coefficient (S) is the difference between work of adhesion
and work of cohesion
S = Wa –Wc
= (γL + γS – γLS) - 2γL
= γS – γL – γLS
• S = γS – (γL + γLS)
• γL - Surface tension of spreading liquid
• γS - Surface tension of sublayer liquid
• γLS - Interfacial tension
Spreading coefficient
• Spreading occurs when spreading
coefficient S is positive i.e., γS > (γL+ γLS).
When free energy of the spreading liquid
and the interfacial tension with the sub layer
is less than that of sublayer the spreading
becomes spontaneous to reduce free energy
of sublayer.
• If spreading coefficient S is negative ie,
(γL+ γLS) > γS Spreading liquid forms
globules or floating lens means spreading
will not take place
Spreading
• There may be saturation of the liquid with the other and there may be
change in the surface tension of the sublayer liquid
• In that case the spreading coefficient may become negative after
saturation, the spreading liquid coalesces and form a lens on the
surface of the sublayer
• In the case of a DUPLEX FILM if S become negative after saturation,
it forms a monolayer and excess liquid remains as lens on the surface
Spreading
• Fatty acids and alcohols have high spreading coefficient
• As non-polar chain length increases in an acid or alcohol spreading
coefficient decreases
• Propionic acid and ethyl alcohol having high spreading coefficient
Applications of spreading coefficients
• Spreading of medicament from creams, lotions, etc. on skin
• Stabilization of emulsions
Surface Active Agents
Surface Active Agents
• Molecules and ions that are adsorbed at interfaces are termed
surface-active agents or surfactants.
• Surfactants have two distinct functional groups in their chemical
structure, one of which is water-liking (hydrophilic) and the other of
which is lipid-liking (lipophilic).
• These molecules are referred to as amphiphile.
23
Surface Active Agents
When such molecule is placed in an air-water or oil-water system,
the polar groups are oriented toward the water, and the nonpolar
groups are oriented toward the air or oil.
Reduction of Surface Tension
Principle: When surfactants are dissolved in water they can reduce surface tension by
replacing some of the water molecules in the surface so that the forces of attraction
between surfactant and water molecules are less than those between water molecules
themselves, hence the contraction force is reduced.
25
Classification of surface active agents
• Non-ionic surfactants
Have low toxicity and high stability and compatibility,
e.g. Sorbitan esters (spans) and Polysorbates (tweens).
• Anionic surfactants
Have bacteriostatic action
e.g. Sodium Lauryl Sulphate
• Cationic surfactants
Have bactericidal activity
e.g. benzalkonium chloride
• Ampholytic Surfactants
• Phospholipids
26
Reduction of Surface Tension
Effect of Structure on Surface Activity
• The surface activity (surface tension reduction) of a particular surfactant depends
on the balance between its hydrophilic and hydrophobic properties.
• An increase in the length of the hydrocarbon chain (hydrophobic) of a surfactant
increases the surface activity.
• An increase in the length of the ethylene oxide chain (hydrophilic) of a non-ionic
surfactant results in a decrease of surface activity.
27
HLB
Hydrophilic-Lipophilic balance
HLB System
• Definition: The hydrophile-lipophile balance
(HLB) system is an arbitrary scale for
expressing the hydrophilic and lipophilic
characteristics of an emulsifying agent.
• Agents with HLB value of 1-8 are lipophilic and
suitable for preparation of w/o emulsion,
• Those with HLB value of 8-18 are hydrophilic
and good for o/w emulsion.
HLB System
The oil phase of an o/w emulsion requires a specific HLB, called the required hydrophile–
lipophile balance (RHLB).
% emulsifier with high HLB = RHLB- HLB Low
HLB High - RHLB
Micellization
Solubilization/Detergency
• Micelles are formed when the
concentration of a surfactant reaches a
given concentration called critical
micelle concentration (CMC) in which
the surface is saturated with surfactant
molecules.
• The main reason for micelle formation is
to obtain a minimum free energy state.
• In a micelle, polar or ionic heads form an
outer shell in contact with water, while
non polar tails are sequestered in the
interior to avoid water.
Concentration
SurfaceTension
Micellisation
Solubilization
• Solubilization is the process where water-insoluble substances are brought
into solution by incorporation into micelle.
• Solubilization does not occur until the milcells are formed (i.e. above
CMC)
• The amount of substance solubilized increases as the number of micelles
increases.
Detergency
• Detergency is a complex process involving the removal of foreign
matter from surfaces.
• Surfactants are used for the removal of dirt through the detergency
effect.
• Initial wetting of the dirt and of the surface to be cleaned is carried
out by deflocculation and suspension or emulsification or
solubilization of the dirt particles. It also involves foaming of the
agent for entertainment and washing away of the particles.
• When a wetting agent dissolved in water, lowers the advancing
contact angle, helps in displacing an air pockets at the surface and
replacing it with a liquid phase.
Applications of Detergency
1. Displacement of air from sulfur, charcoal and other powders for
dispersing these drugs in liquid vehicles
2. Displacement of air from the matrix of cotton pads and bandages so
that medicinal solutions may be absorbed for application to various
body areas.
3. Displacement of dirt and debris using detergents in the washing of
wounds.
4. The application of medicinal lotions and sprays to the surface of the
skin and mucous membrane.
Adsorption on
solid surface
Adsorption of solute from liquid to solid surface
Types of Adsorption
Adsorption is the adhesion of atoms,
ions, or molecules from a gas, liquid,
or dissolved solid to a interface.
There are two general types of
adsorption:
1. Physical adsorption, in which the
adsorbate is bound to the surface
through the weak van der Waals
forces.
2. Chemical adsorption or
chemisorption, which involves the
stronger valence forces.
Factors Affecting Adsorption
• Surface area of adsorbent:
• Being surface phenomena extent of adsorption depends on available surface area of
adsorbent.
• Finely divided materials since has large surface area, more adsorption is observed on
their surfaces.
• Nature of adsorbate:
• The amount of adsorbate adsorbed on solids depends on its nature; easily liquefiable
gases adsorbed to greater extent.
• Temperature:
• As seen under the characteristics of physical adsorption, it decreases with increase in
• temperature, while chemical adsorption increases with increase in temperature.
• Pressure:
• It was observed that increase in pressure increases adsorption.
Adsorption of Gas
• Adsorption & Desorption (evaporation)
• Physical adsorption, in which the
adsorbate is bound to the surface
through the weak van der Waals forces.
• Chemical adsorption or chemisorption,
which involves the stronger valence
forces.
• Adsorbate: material which get adsorb
(Gas/solute) (x moles)
• Adsorbent: material on which
adsorption takes place (m grams)
m
x
Freundlich adsorption isotherm
y =
x
m
= kp1/n
Log
x
m
= Log k +
1
n
Log p
y =
x
m
= kp1/n
Langmuir adsorption isotherm
• Molecules of gas adsorb on active sites on adsorbent
• Fraction of active sites occupied (at pressure p) are ϴ
• Fraction of un-occupied sites are (1- ϴ)
• Rate of adsorption is directly proportional to pressure
and no. of un occupied sites
• r1=k1(1-ϴ)p
• Rate of desorption (evaporation) directly is
proportional to no. of occupied sites
• r2=k2ϴ
• At equilibrium r2=r1
Langmuir adsorption isotherm• k2ϴ = k1(1-ϴ)p
• ϴ =
k1p
k2
+k1
p
• ϴ =
(k1/k2)p
1+(
k1
k2
)p
• y =
ymbp
1+bp
•
p
y
=
1
bym
+
p
ym
If we replace
• (k1/k2) with b
• ϴ with y/ym
Where,
• y= mass of gas adsorb per gram of adsorbent at pressure p
• ym= mass of gas adsorb on adsorbent on 1 gram of adsorbent
when monolayer is formed
The plot of p/y against p gives straight line and ym and b can be
obtained by slop and intercept
Langmuir adsorption isotherm
Other types of adsorption
isotherm
Type I : It represents behavior of nitrogen
or oxygen on charcoal.
Type II : Sigmoidal when gas undergo
physical adsorption on non-porous solid to
form monolayer. Described by BET
equation. Multilayer formation and
condensation within pores.
Type IV : Adsorption on porous solid.
Capillary condensation
Type III & Type V : Heat of adsorption of
gas in first layer is less than latent heat of
condensation in successive layers. Capillary
condensation occur in type V
Surface area can be determined where
monolayer formation is detected … Type I,
II & IV
Application of adsorption
• Gas masks: Poisonous gases get adsorbed to at the surface of the mask
and prevent its encounter when used by coal miners.
• Production of vacuum: Traces of air are adsorbed on charcoal and
removed from devices undergoing the process of evacuation.
• Removal of moisture: Silica gel pellets are used for the adsorption of
moisture in medicines and new plastic bottles in order to control humidity.
• Removal of colour: The juice extracted from cane is treated with animal
charcoal for the removal of the colouring agent in order to get a clear liquid
solution.
• As Catalysts: Suitable materials are used as a catalyst such that reactants
get adhered to its surface, thus enabling the reaction to proceed at a faster
rate and increasing the rate of reaction
Wetting
Wetting
• Force of attraction between solid and liquid play important role
• Angle of contact range (0° to 180 °)
Wetting phenomenon
• Contact angle is the angle between liquid droplet and surface over which it spreads.
• Important action of wetting is to reduce angle of contact
• Draves test for to test wetting property of wetting agent… time required to sink
weighted cotton yarn of standard solution.
Young’s equation
• γs= γSL - γL cos ϴ
• Where ϴ= angle of contact
• We know that spreading coefficient ‘S’
• S= γS – γL – γLS
• Combining both these equations, substituting value of γs in second
equation
• S = γL (cos ϴ -1)
• Surface tension when, cos ϴ =1 is known as critical surface tension
Steps of wetting
• Adhesional Wetting
• Immersional
• Spreading
Thank you

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Interfacial Phenomenon SB

  • 2. Liquid Interfaces 2 • Interface is the boundary between two phases. • Surface is a term used to describe either a gas-solid or a gas- liquid interface. • Interfacial phase is a term used to describe molecules forming the interface between two phases which have different properties from molecules in the bulk of each phase.
  • 3. Surface Tension • Molecules in the bulk liquid are surrounded in all directions by other molecules for which they have an equal attraction (only cohesive forces). • Molecules at the surface can only develop cohesive forces with other molecules that are below and adjacent to them; and can develop adhesive forces with molecules of the other phase. 3 Inwardpull
  • 4. Surface Tension This imbalance in the molecular attraction will lead to an inward force toward the bulk that pulls the molecules of the interface together and contracts the surface, resulting in a surface tension. 4
  • 5. Definition • The surface tension (γ) is the force per unit length acting along the surface of a liquid at right angles to counterbalance the net inward pull • A unit of surface tension in CGS system is dynes per centimetre (dyne cm–1).
  • 6. Interfacial Tension • Interfacial tension is the force per unit length existing at the interface between two immiscible phases (units are dynes/cm or N/m). • The term interfacial tension is used for the force between: 6 Two liquids = γLL Solid liquids = γSL
  • 7. Interfacial Tension • The term surface tension is reserved for the tensions: Liquid-vapor = γ Solid-vapor = γ • Interfacial tensions are weaker than surface tensions because the adhesive forces between two liquid phases forming an interface are greater than that between liquid and gas phase 7
  • 8. Surface Free Energy Each molecule of the liquid has a tendency to move inside the liquid from the surface; therefore, when the surface is increased, the liquid takes the form with minimal surface and as a result, minimal surface energy: 8 Sphere shape
  • 9. Surface Free Energy The surface layer of a liquid possesses additional energy as compared to the bulk liquid. If the surface of the liquid increases (e.g. when water is broken into a fine spray), the energy of the liquid also increases. Because this energy is proportional to the size of the free surface, it is called a surface free energy: 𝑾= 𝜸 ∆ 𝑨 𝑾 Surfacefree energy (ergs) 𝜸 surface tension (dynes/cm) ∆ 𝑨 increase in area (cm2). Therefore, surface tension can also be defined as the surface free energy per unit area of liquid surface.
  • 10. Measurement of Surface Tensions • Drop Count method • Drop weight method
  • 11. Measurement of Surface Tensions 𝜸 surface tension 𝒓 radius of capillary 𝒉 height 𝒑 density of the liquid 𝒈 acceleration of gravity This method cannot be used to obtain interfacial tensions. Capillary Rise Method When a capillarytube is placed in a liquidcontained in a beaker, the liquid rises up in the tube to a certain distance. By measuring this rise in the capillary, it is possible to using thedetermine the surface tension of the liquid formula: 𝜸 = ½ 𝒓 𝒉 𝒑 𝒈 11
  • 12. Measurement of Surface Tensions The DuNoüy Ring Method The force necessary to detach a platinum–iridium ring immersed at the surface or interface is proportional to the surface or interfacial tension. The surface tension is given by the formula: The DuNoüy tensiometer is widely used for measuring surface and interfacial tensions.
  • 14. Spreading of liquid • When Oleic acid dropped on water, it immediately spreads on the surface of water • Oleic Acid – Spreading Liquid (L) • Water – Sub-layer Liquid (S) • Generally spreading occurs when adhesive force is more than cohesive force
  • 15. Spreading Coefficient • Work of Cohesion (Wc) may be defined as the surface free energy increased by separating a column of pure liquid into two halves • Surface free energy change = γ dA • Wc = γL (dA+dA) = 2 γLdA • Here the column is of cross sectional area is 1cm2 (dA= 1cm2) • Wc = 2 γL
  • 16. • Work of Adhesion (Wa) may be defined as the surface free energy increased by separating a column of two immiscible liquids at its boundary into two sections • As two sections of immiscible liquids are already separated by a boundary, the energy requirement will be less by an amount γLS dA • Wa = γLdA + γS dA - γLS dA • Here the columns are of cross sectional area 1cm2 • Wa = γL + γS - γLS Spreading Coefficient
  • 17. Spreading coefficient • Spreading coefficient (S) is the difference between work of adhesion and work of cohesion S = Wa –Wc = (γL + γS – γLS) - 2γL = γS – γL – γLS • S = γS – (γL + γLS) • γL - Surface tension of spreading liquid • γS - Surface tension of sublayer liquid • γLS - Interfacial tension
  • 18. Spreading coefficient • Spreading occurs when spreading coefficient S is positive i.e., γS > (γL+ γLS). When free energy of the spreading liquid and the interfacial tension with the sub layer is less than that of sublayer the spreading becomes spontaneous to reduce free energy of sublayer. • If spreading coefficient S is negative ie, (γL+ γLS) > γS Spreading liquid forms globules or floating lens means spreading will not take place
  • 19. Spreading • There may be saturation of the liquid with the other and there may be change in the surface tension of the sublayer liquid • In that case the spreading coefficient may become negative after saturation, the spreading liquid coalesces and form a lens on the surface of the sublayer • In the case of a DUPLEX FILM if S become negative after saturation, it forms a monolayer and excess liquid remains as lens on the surface
  • 20. Spreading • Fatty acids and alcohols have high spreading coefficient • As non-polar chain length increases in an acid or alcohol spreading coefficient decreases • Propionic acid and ethyl alcohol having high spreading coefficient
  • 21. Applications of spreading coefficients • Spreading of medicament from creams, lotions, etc. on skin • Stabilization of emulsions
  • 23. Surface Active Agents • Molecules and ions that are adsorbed at interfaces are termed surface-active agents or surfactants. • Surfactants have two distinct functional groups in their chemical structure, one of which is water-liking (hydrophilic) and the other of which is lipid-liking (lipophilic). • These molecules are referred to as amphiphile. 23
  • 24. Surface Active Agents When such molecule is placed in an air-water or oil-water system, the polar groups are oriented toward the water, and the nonpolar groups are oriented toward the air or oil.
  • 25. Reduction of Surface Tension Principle: When surfactants are dissolved in water they can reduce surface tension by replacing some of the water molecules in the surface so that the forces of attraction between surfactant and water molecules are less than those between water molecules themselves, hence the contraction force is reduced. 25
  • 26. Classification of surface active agents • Non-ionic surfactants Have low toxicity and high stability and compatibility, e.g. Sorbitan esters (spans) and Polysorbates (tweens). • Anionic surfactants Have bacteriostatic action e.g. Sodium Lauryl Sulphate • Cationic surfactants Have bactericidal activity e.g. benzalkonium chloride • Ampholytic Surfactants • Phospholipids 26
  • 27. Reduction of Surface Tension Effect of Structure on Surface Activity • The surface activity (surface tension reduction) of a particular surfactant depends on the balance between its hydrophilic and hydrophobic properties. • An increase in the length of the hydrocarbon chain (hydrophobic) of a surfactant increases the surface activity. • An increase in the length of the ethylene oxide chain (hydrophilic) of a non-ionic surfactant results in a decrease of surface activity. 27
  • 29. HLB System • Definition: The hydrophile-lipophile balance (HLB) system is an arbitrary scale for expressing the hydrophilic and lipophilic characteristics of an emulsifying agent. • Agents with HLB value of 1-8 are lipophilic and suitable for preparation of w/o emulsion, • Those with HLB value of 8-18 are hydrophilic and good for o/w emulsion.
  • 30. HLB System The oil phase of an o/w emulsion requires a specific HLB, called the required hydrophile– lipophile balance (RHLB). % emulsifier with high HLB = RHLB- HLB Low HLB High - RHLB
  • 31. Micellization Solubilization/Detergency • Micelles are formed when the concentration of a surfactant reaches a given concentration called critical micelle concentration (CMC) in which the surface is saturated with surfactant molecules. • The main reason for micelle formation is to obtain a minimum free energy state. • In a micelle, polar or ionic heads form an outer shell in contact with water, while non polar tails are sequestered in the interior to avoid water. Concentration SurfaceTension
  • 32. Micellisation Solubilization • Solubilization is the process where water-insoluble substances are brought into solution by incorporation into micelle. • Solubilization does not occur until the milcells are formed (i.e. above CMC) • The amount of substance solubilized increases as the number of micelles increases.
  • 33. Detergency • Detergency is a complex process involving the removal of foreign matter from surfaces. • Surfactants are used for the removal of dirt through the detergency effect. • Initial wetting of the dirt and of the surface to be cleaned is carried out by deflocculation and suspension or emulsification or solubilization of the dirt particles. It also involves foaming of the agent for entertainment and washing away of the particles. • When a wetting agent dissolved in water, lowers the advancing contact angle, helps in displacing an air pockets at the surface and replacing it with a liquid phase.
  • 34. Applications of Detergency 1. Displacement of air from sulfur, charcoal and other powders for dispersing these drugs in liquid vehicles 2. Displacement of air from the matrix of cotton pads and bandages so that medicinal solutions may be absorbed for application to various body areas. 3. Displacement of dirt and debris using detergents in the washing of wounds. 4. The application of medicinal lotions and sprays to the surface of the skin and mucous membrane.
  • 36. Adsorption of solute from liquid to solid surface Types of Adsorption Adsorption is the adhesion of atoms, ions, or molecules from a gas, liquid, or dissolved solid to a interface. There are two general types of adsorption: 1. Physical adsorption, in which the adsorbate is bound to the surface through the weak van der Waals forces. 2. Chemical adsorption or chemisorption, which involves the stronger valence forces.
  • 37. Factors Affecting Adsorption • Surface area of adsorbent: • Being surface phenomena extent of adsorption depends on available surface area of adsorbent. • Finely divided materials since has large surface area, more adsorption is observed on their surfaces. • Nature of adsorbate: • The amount of adsorbate adsorbed on solids depends on its nature; easily liquefiable gases adsorbed to greater extent. • Temperature: • As seen under the characteristics of physical adsorption, it decreases with increase in • temperature, while chemical adsorption increases with increase in temperature. • Pressure: • It was observed that increase in pressure increases adsorption.
  • 38. Adsorption of Gas • Adsorption & Desorption (evaporation) • Physical adsorption, in which the adsorbate is bound to the surface through the weak van der Waals forces. • Chemical adsorption or chemisorption, which involves the stronger valence forces. • Adsorbate: material which get adsorb (Gas/solute) (x moles) • Adsorbent: material on which adsorption takes place (m grams) m x
  • 39. Freundlich adsorption isotherm y = x m = kp1/n Log x m = Log k + 1 n Log p y = x m = kp1/n
  • 40. Langmuir adsorption isotherm • Molecules of gas adsorb on active sites on adsorbent • Fraction of active sites occupied (at pressure p) are ϴ • Fraction of un-occupied sites are (1- ϴ) • Rate of adsorption is directly proportional to pressure and no. of un occupied sites • r1=k1(1-ϴ)p • Rate of desorption (evaporation) directly is proportional to no. of occupied sites • r2=k2ϴ • At equilibrium r2=r1
  • 41. Langmuir adsorption isotherm• k2ϴ = k1(1-ϴ)p • ϴ = k1p k2 +k1 p • ϴ = (k1/k2)p 1+( k1 k2 )p • y = ymbp 1+bp • p y = 1 bym + p ym If we replace • (k1/k2) with b • ϴ with y/ym Where, • y= mass of gas adsorb per gram of adsorbent at pressure p • ym= mass of gas adsorb on adsorbent on 1 gram of adsorbent when monolayer is formed The plot of p/y against p gives straight line and ym and b can be obtained by slop and intercept
  • 43. Other types of adsorption isotherm Type I : It represents behavior of nitrogen or oxygen on charcoal. Type II : Sigmoidal when gas undergo physical adsorption on non-porous solid to form monolayer. Described by BET equation. Multilayer formation and condensation within pores. Type IV : Adsorption on porous solid. Capillary condensation Type III & Type V : Heat of adsorption of gas in first layer is less than latent heat of condensation in successive layers. Capillary condensation occur in type V Surface area can be determined where monolayer formation is detected … Type I, II & IV
  • 44. Application of adsorption • Gas masks: Poisonous gases get adsorbed to at the surface of the mask and prevent its encounter when used by coal miners. • Production of vacuum: Traces of air are adsorbed on charcoal and removed from devices undergoing the process of evacuation. • Removal of moisture: Silica gel pellets are used for the adsorption of moisture in medicines and new plastic bottles in order to control humidity. • Removal of colour: The juice extracted from cane is treated with animal charcoal for the removal of the colouring agent in order to get a clear liquid solution. • As Catalysts: Suitable materials are used as a catalyst such that reactants get adhered to its surface, thus enabling the reaction to proceed at a faster rate and increasing the rate of reaction
  • 46. Wetting • Force of attraction between solid and liquid play important role • Angle of contact range (0° to 180 °)
  • 47. Wetting phenomenon • Contact angle is the angle between liquid droplet and surface over which it spreads. • Important action of wetting is to reduce angle of contact • Draves test for to test wetting property of wetting agent… time required to sink weighted cotton yarn of standard solution.
  • 48. Young’s equation • γs= γSL - γL cos ϴ • Where ϴ= angle of contact • We know that spreading coefficient ‘S’ • S= γS – γL – γLS • Combining both these equations, substituting value of γs in second equation • S = γL (cos ϴ -1) • Surface tension when, cos ϴ =1 is known as critical surface tension
  • 49. Steps of wetting • Adhesional Wetting • Immersional • Spreading