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Dr. Y. S. THAKARE
M.Sc. (CHE) Ph D, NET, SET
Assistant Professor in Chemistry,
Shri Shivaji Science College, Amravati
Email: yogitathakare_2007@rediffmail.com
B Sc- II Year
SEM-III
PAPER-III
PHYSICAL CHEMISTRY
UNIT- VI
Liquid State
09-October -20 1
Unit VI
A] Liquid state:
(i) Surface tension, determination and its S. I. Unit. Effect of temperature
on surface tension, derivation of expression for relative surface
tension by drop number method. Applications of surface tension.
(ii) Viscosity, determination and Its S.I. Unit. Effect of temperature on
viscosity, derivation of expression for relative viscosity by Ostwald’s
viscometer method. Application of viscosity.
B] Electrochemistry:
i) Conductance of electrolyte solution, specific, equivalent and molar
conductance. Determination conductance of electrolyte solution
variation of specific and equivalent conductance with dilution of
strong electrolyte. Conductometric titration. Applications of
Conductometric titration.
ii) Migration of ions under the influence of electric field. Transport
number of ions. Determination of transport number by Hittorf’s
method and Moving boundary method.
iii) Kohlrausch’s law of independent migration of ions. Determination of
degree of dissociation of a weak electrolyte. Determination of 𝝀𝒗 and
degree of dissociation constant of weak electrolyte.
iv) Numericals
Dr. Yogita Sahebrao Thakare
09-October -20
States of Matter-
Matter exists in three states namely solid, liquid and gas. The another
phase exist is the plasma
09-October -20
A] Liquid State:
Matter exists in three states namely solid, liquid and gas.
The smallest structural unit of all chemical substances in these
three states may be atoms, ions or molecules. The solid state
exhibits a complete ordered arrangement of atoms, ions or
molecules while the gaseous state exhibits complete disorder or
randomness and the liquid state exhibit only a short range order.
09-October -20
A liquid may be regarded as a condensed gas or a molten
solid. In a liquid, the molecules are not rigidly fixed as in
solids. They have some freedom of motion which is
much more restricted than that in the gases. A liquid,
therefore, has a definite volume although not a definite
shape. It is much less compressible and far denser than a
gas. Since, the molecules in a liquid are not far apart
from one another, the intermolecular forces are fairly
strong. The characteristic properties of liquids arise from
the nature and the magnitude of these intermolecular
forces.
09-October -20
09-October -20
Surface Tension
09-October -20
Surface tension:
The surface tension (γ) is defined as, the downward force in
Newton acting along the surface of a liquid at right angle to any line 1
meter in length.
The unit of surface tension
CGS -- dynes per centimeter (dyne cm-1)
SI -- Newton per meter (N m-1)
Both these units are related as:
1 dyne cm-1 = 10-3 N m-1
N / m = 105 dyne / 102 cm
= 103 dyne/ cm
OR dyne/ cm = 10-3 N / m
OR 1 dyne cm-1 = 10-3 N m-1
Since 1 N= 105 dyne
1m=100 cm = 102 cm
09-October -20
09-October -20
Determination of surface tension by drop number method:
In drop number method, the number of drops formed for a fixed
volume of liquid is determined by using drop pipette or stalagmometer. The
liquid under examination is sucked up in capillary, say up to upper mark A. then
a definite number of drops say 20, are received in weighing bottle and
weighed. From this, weight of single drop is calculated.
Let ‘r’ is the radius of capillary tube and γ is surface tension of liquid.
When drop falls off at that time the weight of drop is equal to the force due to
the surface tension.
09-October -20
W = 2r γ ------------------(1)
For relative determinations, instead of determining the weight of
the single drop, number of drops falling between two fixed marks
(one above the bulb and other below the bulb) are counted for
water (reference). The stalagmometer is dried and filled with
another liquid of which surface tension is to be determined.
Number of drops for the experimental liquid falling between same
two fixed marks is counted.
If n1 and n2 are the number of drops falling between two fixed
marks for water and experimental liquid having densities d1 and d2
and surface tensions γ1 & γ 2 then,
When drop falls, wt. of the drop = force due to surface tension
W = mg = vdg = 2r γ {Since d=m/v ---------(2)
.˙. For water, we can write
2  r γ1 = v1 d1 g ---------(3)
For experimental liquid
2  r γ2 = v2 d2 g ---------(4)
09-October -20
Multiplying equation (3) and (4) by n1 and n2 respectively then,
2  r γ1 n1 = n1 v1 d1 g --------------(5)
2  r γ2 n2 = n2 v2 d2 g ---------------(6)
But, n1 v1 = n2 v2 = V, the volume of liquid falling between two
fixed marks. Equations (5) and (6) become
2  r γ1 n1 = V d1 g ---------------(7)
2  r γ2 n2 = V d2 g ---------------(8)
Dividing equation (8) by (7), we get
γ2𝑛2
γ1𝑛1
=
𝑑2
𝑑1
-------------(9)
γ2
γ1
=
𝑛1𝑑2
𝑑1 𝑛2
Where,
γ2
γ1
Relative surface tension.
Hence, by counting number of drops and determining densities,
surface tension of any liquid relative to reference (water) can be
calculated.
09-October -20
Liquids
Surface tension Nm-1 x 102
273 K 293 K 313 K
Water 7.56 7.28 6.96
Benzene 3.16 2.89 2.63
Toulene 3.07 2.84 2.61
Acetone 2.62 2.37 2.12
Ethyl alcohol 2.40 2.23 2.06
Effect of temperature on surface tension:
For all liquids, surface tension (γ), decreases with increasing
temperature due to increased molecular agitations. These tend to
decrease the effect of intermolecular cohesive forces. At or near the
critical temperature, a well defined surface ceases to exist, and the
surface tension becomes zero.
Table: Surface tension values of some common liquids at various temperatures.
09-October -20
09-October -20
Applications of surface tension:
i)It is important in the study of emulsion and colloid chemistry.
ii)It is an essential factor in the concentration of ores by froth flotation process.
iii)Surface tension measurements are of much importance in biological science,
particularly in bacteriology.
iv)The movement of moisture of soil and passage of sap in plants involve the
surface tension.
v)It is used to determine parachor , a additive and constitutive property used
to investigate molecular structures of compounds.
vi)In everyday life, soaps and detergents are used for cleaning purposes.
Synthetic surfactants have property of lowering the surface tension of water.
Hence, they are used in preparations like tooth paste, cream, toilet soaps,
washing powders, medical emulsions, etc.
vii)Surface tension measurements are useful in knowing the presence of air
bubble in blood stream and identifying the presence of bile salts in urine (Hay’s
test for bile salts).
09-October -20
09-October -20
09-October -20

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Lect. 1. surface tension

  • 1. Dr. Y. S. THAKARE M.Sc. (CHE) Ph D, NET, SET Assistant Professor in Chemistry, Shri Shivaji Science College, Amravati Email: yogitathakare_2007@rediffmail.com B Sc- II Year SEM-III PAPER-III PHYSICAL CHEMISTRY UNIT- VI Liquid State 09-October -20 1
  • 2. Unit VI A] Liquid state: (i) Surface tension, determination and its S. I. Unit. Effect of temperature on surface tension, derivation of expression for relative surface tension by drop number method. Applications of surface tension. (ii) Viscosity, determination and Its S.I. Unit. Effect of temperature on viscosity, derivation of expression for relative viscosity by Ostwald’s viscometer method. Application of viscosity. B] Electrochemistry: i) Conductance of electrolyte solution, specific, equivalent and molar conductance. Determination conductance of electrolyte solution variation of specific and equivalent conductance with dilution of strong electrolyte. Conductometric titration. Applications of Conductometric titration. ii) Migration of ions under the influence of electric field. Transport number of ions. Determination of transport number by Hittorf’s method and Moving boundary method. iii) Kohlrausch’s law of independent migration of ions. Determination of degree of dissociation of a weak electrolyte. Determination of 𝝀𝒗 and degree of dissociation constant of weak electrolyte. iv) Numericals Dr. Yogita Sahebrao Thakare 09-October -20
  • 3. States of Matter- Matter exists in three states namely solid, liquid and gas. The another phase exist is the plasma 09-October -20
  • 4. A] Liquid State: Matter exists in three states namely solid, liquid and gas. The smallest structural unit of all chemical substances in these three states may be atoms, ions or molecules. The solid state exhibits a complete ordered arrangement of atoms, ions or molecules while the gaseous state exhibits complete disorder or randomness and the liquid state exhibit only a short range order. 09-October -20
  • 5. A liquid may be regarded as a condensed gas or a molten solid. In a liquid, the molecules are not rigidly fixed as in solids. They have some freedom of motion which is much more restricted than that in the gases. A liquid, therefore, has a definite volume although not a definite shape. It is much less compressible and far denser than a gas. Since, the molecules in a liquid are not far apart from one another, the intermolecular forces are fairly strong. The characteristic properties of liquids arise from the nature and the magnitude of these intermolecular forces. 09-October -20
  • 8.
  • 9.
  • 10. Surface tension: The surface tension (γ) is defined as, the downward force in Newton acting along the surface of a liquid at right angle to any line 1 meter in length. The unit of surface tension CGS -- dynes per centimeter (dyne cm-1) SI -- Newton per meter (N m-1) Both these units are related as: 1 dyne cm-1 = 10-3 N m-1 N / m = 105 dyne / 102 cm = 103 dyne/ cm OR dyne/ cm = 10-3 N / m OR 1 dyne cm-1 = 10-3 N m-1 Since 1 N= 105 dyne 1m=100 cm = 102 cm 09-October -20
  • 12. Determination of surface tension by drop number method: In drop number method, the number of drops formed for a fixed volume of liquid is determined by using drop pipette or stalagmometer. The liquid under examination is sucked up in capillary, say up to upper mark A. then a definite number of drops say 20, are received in weighing bottle and weighed. From this, weight of single drop is calculated. Let ‘r’ is the radius of capillary tube and γ is surface tension of liquid. When drop falls off at that time the weight of drop is equal to the force due to the surface tension. 09-October -20
  • 13. W = 2r γ ------------------(1) For relative determinations, instead of determining the weight of the single drop, number of drops falling between two fixed marks (one above the bulb and other below the bulb) are counted for water (reference). The stalagmometer is dried and filled with another liquid of which surface tension is to be determined. Number of drops for the experimental liquid falling between same two fixed marks is counted. If n1 and n2 are the number of drops falling between two fixed marks for water and experimental liquid having densities d1 and d2 and surface tensions γ1 & γ 2 then, When drop falls, wt. of the drop = force due to surface tension W = mg = vdg = 2r γ {Since d=m/v ---------(2) .˙. For water, we can write 2  r γ1 = v1 d1 g ---------(3) For experimental liquid 2  r γ2 = v2 d2 g ---------(4) 09-October -20
  • 14. Multiplying equation (3) and (4) by n1 and n2 respectively then, 2  r γ1 n1 = n1 v1 d1 g --------------(5) 2  r γ2 n2 = n2 v2 d2 g ---------------(6) But, n1 v1 = n2 v2 = V, the volume of liquid falling between two fixed marks. Equations (5) and (6) become 2  r γ1 n1 = V d1 g ---------------(7) 2  r γ2 n2 = V d2 g ---------------(8) Dividing equation (8) by (7), we get γ2𝑛2 γ1𝑛1 = 𝑑2 𝑑1 -------------(9) γ2 γ1 = 𝑛1𝑑2 𝑑1 𝑛2 Where, γ2 γ1 Relative surface tension. Hence, by counting number of drops and determining densities, surface tension of any liquid relative to reference (water) can be calculated. 09-October -20
  • 15. Liquids Surface tension Nm-1 x 102 273 K 293 K 313 K Water 7.56 7.28 6.96 Benzene 3.16 2.89 2.63 Toulene 3.07 2.84 2.61 Acetone 2.62 2.37 2.12 Ethyl alcohol 2.40 2.23 2.06 Effect of temperature on surface tension: For all liquids, surface tension (γ), decreases with increasing temperature due to increased molecular agitations. These tend to decrease the effect of intermolecular cohesive forces. At or near the critical temperature, a well defined surface ceases to exist, and the surface tension becomes zero. Table: Surface tension values of some common liquids at various temperatures. 09-October -20
  • 17. Applications of surface tension: i)It is important in the study of emulsion and colloid chemistry. ii)It is an essential factor in the concentration of ores by froth flotation process. iii)Surface tension measurements are of much importance in biological science, particularly in bacteriology. iv)The movement of moisture of soil and passage of sap in plants involve the surface tension. v)It is used to determine parachor , a additive and constitutive property used to investigate molecular structures of compounds. vi)In everyday life, soaps and detergents are used for cleaning purposes. Synthetic surfactants have property of lowering the surface tension of water. Hence, they are used in preparations like tooth paste, cream, toilet soaps, washing powders, medical emulsions, etc. vii)Surface tension measurements are useful in knowing the presence of air bubble in blood stream and identifying the presence of bile salts in urine (Hay’s test for bile salts). 09-October -20