Surface Tension
ThusSURFACE TENSION [γ]
is the force per unit length that
must be applied parallel to the
surface so as to counterbalance
the net inward pull and has the
units of dyne/cm.
INTERFACIAL TENSIONis the force
per unit length existing at the interface
between two immiscible liquid phases and
has the units of dyne/cm.
If two liquids are completely miscible, no
interfacial tension exists between them.
Methods for measuring surface and interfacial tension
1-Capillary rise method
2-Ring (Du Nouy) tensiometer
3-Drop weight method (Stalagmometer)
4-Drop Count Method
The choice of the method for measuring surface and
interfacial tension depend on:
Whethersurface or interfacial tension is to be determined.
The accuracy desired
The size of sample.
8
The upward component of the forceresulting from
the surface tension of the liquid at any point on the
circumference is given by:
Thus the total upward force around the inside
circumference of the tube is
Where
Ө= the contact angle between the surface of the
liquid and the capillary wall
2 πr= the inside circumference of the capillary.
For water the angle Өis insignificant, i.e. the liquid wets
the capillary wall so that cosӨ= unity
Cont. angle
water and glass
a = γ cos Ө
a = 2 πrγcos Ө
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The downward force of gravity
Downward component b = (mass x acceleration)
b = (mass x acceleration + w)
= Volume xdensity xacceleration
= cross-sectional area xheight x density xacceleration
At Maximum height,the opposing forces are in equilibrium
i.e. a=b
Where:
h =the height of the liquid column to the lowest point of the meniscus
p =density of the liquid
g = the acceleration of gravity
w = the weight of the upper part of the meniscus.
2 πrγ= πr
2
h p g
γ= 1/2rh p g
πr
2
x h x p x g
Ring (Du Nouy) Tensiometer
theprincipleoftheinstrumentdependsonthefactthat:
theforcenecessarytodetachaplatinum-iridiumring
immersedatthesurfaceorinterfaceisproportionaltothe
surfaceorinterfacialtension.
Theforceofdetachmentisrecordedindynes
onacalibrateddial
Thesurfacetensionisgivenby:
Where:
F =thedetachmentforce
R
1andR
2=theinnerandouterradiiofthering.
γ = F / 2 π(R
1+ R
2)
For measuring surface and interfacial tensions.
The principle
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Ifthevolumeorweightofadropasitisdetachedfromatipof
knownradiusisdetermined,thesurfaceandinterfacialtensioncan
becalculatedfrom
Where m = the mass of the drop
V = the volume of the drop
p = the density of the liquid
r = the radius of the tip
g = the acceleration due to gravity
The tip must be wetted by the liquid so as
the drop doesn’t climb the outside of the tube.
γ1= vρ1g
2 π rn¹
Drop Weight and Drop volume method
γ2= vρ2g
2 π rn2
Drop Count
γ1/γ2 = ρ1n2/ρ2n1
Drop Weight
γ1/γ2 = W1/W2
12
When a liquid such as oleic acid is placed on the surface of other liquid
like water, it will spread as a film if the adhesion force is greater than the
cohesive forces.
The term film applies to a duplex film as opposed to monomolecular
film.
Duplex films are sufficiently thick so that surface and interface are
independent of one another.
Spreading coefficient
γ
L
γ
S
γ
Ls
13
As surface or interfacial work is equal to surface tension multiplied by the
area increment.
Theworkofcohesion,whichistheenergyrequiredtoseparatethe
moleculesofthespreadingliquidsoasitcanflowoverthesub-layer=
Where2surfaceseachwithasurfacetension=γ
L
Theworkofadhesion,whichistheenergyrequiredtobreaktheattraction
betweentheunlikemolecules=
Where: γ
L =the surface tension of the spreading liquid
γ
S=thesurfacetensionofthesublayerliquid
γ
LS=theinterfacialtensionbetweenthetwoliquids.
Spreadingoccursiftheworkofadhesionisgreaterthantheworkof
cohesion,i.e.Wa>WcorWa-Wc>0
Wc= 2 γ
L
Wa= γ
L+ γ
S-γ
LS
Wc= 2 γ
L
Wc= γLΔA + γLΔA
S= WA-
Wc
Wc= 2 γLΔA
ΔA=1cm
Work of Cohesion
Wc= 2γL-----1
γ
L
γ
L
Wa= γ
LΔA + γ
SΔA -γ
LSΔA
Work of Adhesion
Wa= γ
L+ γ
S-γ
LS ------2
γ
L
γ
S
15
SpreadingCoefficientisThedifferencebetween
theworkofadhesionandtheworkofcohesion
S = Wa -Wc=(γ
L+ γ
S-γ
LS ) -2 γ
L
S =γ
S-γ
L-γ
LS
S =γ
S–(γ
L+ γ
LS )
Spreadingoccurs(Sispositive)whenthesurfacetensionofthesub-layer
liquidisgreaterthanthesumofthesurfacetensionofthespreadingliquid
andtheinterfacialtensionbetweenthesub-layerandthespreadingliquid.
If(γ
L+γ
LS)islargerthanY
S,(Sisnegative)thesubstanceformsglobules
orafloatinglensandfailstospreadoverthesurface.
16
Application of Spreading coefficient in pharmacy
Therequirementoffilmcoatstobespreadedoverthe
tabletsurfaces.
Therequirementoflotionswithmineraloilstospreadon
theskinbytheadditionofsurfactants.
17
ADSORPTION:
It is surface effect.
E.g. concentration of alkaloid molecule on the surface
of clay.
ABSORPTION:
Gas or liqpenetrates in to the capillary spaces of
absorbing medium.
The taking up of water by a sponge is absorption.
18
22
Functional Classification
According to their pharmaceutical use, surfactants can be
divided into the following groups:
Wetting agents
Solubilizing agents
Emulsifying agents
Dispersing, Suspending and Defloculating agents
Foaming and antifoaming agents
Detergents
Type of adsorption.
Physical adsorption Chemical adsorption
Reversible Irreversible
Weak van derWaals forces Strong chemicalbond
Non-specific More specific
Common atlow temp Occurs at high temp
Heat of adsorption is low (20 to 40
kj/mole)
Heat of adsorption is high (40 to 400
kj/mole)
e.g. adsorption of gases on charcoale.g. adsorption of oxygen on silver or
gold.
25
Combination of both type of adsorption is known as sorption.
Desorption:adsorbed molecules or ions are removed from the
solid surface.
Freundlichisotherm
The relationship between pressure of the gas and amt
adsorbed at constant temp has been expressed by
freundlichisotherm eqn:
Where x = wtof gas adsorbed per unit wtof adsorbent,m
P= equilibrium pressure, k and n = constant.
This eqngives curvilinear graph when (x/m) is plotted
against pressure p.
The constant k and n are evaluated from the expand they
depends on temp and nature of the adsorbent and
adsorbate.
27n
kP
m
x
y
/1
Freundlich isotherm
28
x/m
p
Log (x/m)
Log p
Slope =
1/n
Intercept =
k
At equilibrium : r1 = r2
If we consider,
y= mass of gas adsorbed/g of adsorbrnt
ym= mass of gas that 1 g of adsorbent can take up when a
monolayer is complete.
31)12(
1
1)12(
211
2)1(1
Pkk
Pk
PkPkk
kPkPk
kPk