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Solubility and Distribution
phenomena
05/04/2025 2
 After completing this chapter, you should able to:
– Define and understand the terms and concepts of
solubility and miscibility
– Identify the descriptive terms for solubility, their
meaning, and their percent value.
– Calculate solubility for an ideal solution
– Recognize the factors that affect solubility
– Define and understand the partitioning law, partition
coefficients, and apparent partition coefficients
Objectives of the chapter
05/04/2025 3
• Solubility is the amount of a solute that passes into
solution or it is the number of parts of solvent (by volume)
that will dissolve one part of solute (by weight of a solid or
liquid).
• As temperature influences solubility, temperature must be
specified when the solubility of a substance is expressed.
• A solution is said to be saturated when it contains the
maximum amount of solute that a solvent can dissolve at a
particular temperature.
Introduction
05/04/2025 4
• An unsaturated solution is one that contains the dissolved
solute in a concentration less than that required for
complete saturation at a particular temperature.
• A supersaturated solution is one that contains more
concentration of the solute in the dissolved state than
would normally be dissolved at a definite temperature.
• Miscible used to refer to the solute when it is a liquid and
will form a solution with a solvent over any concentration
range.
Introduction
05/04/2025 5
• Solubility of a substance serves as a standard test for
purity
• Select the best solvent for a drug or a mixture of drugs
• Overcome problems arising during preparation of
pharmaceutical solutions
• Drug molecules are required to present in dissolved form,
in order to be transported across biological membranes.
• Direct administration of drug into the blood stream is
desired
Importance of Solubility
05/04/2025 6
• Development of analytical methods for drug
– Reverse phase liquid chromatography
• Development of sustained release products, taste
masking and enhancement of chemical stability
Solubility reduction
Importance of Solubility
05/04/2025 7
• The solubility of a solute in a solvent may be predicted by
the solute-solute, solvent-solvent, and solute-solvent
interactions.
• When the adhesive forces (attraction between unlike
molecules, i.e., solute-solvent molecules) are more than
the cohesive forces (attraction between like molecules,
i.e., solute-solute or solvent-solvent molecules), the
solubility of a solute in a solvent or the miscibility of a
liquid in some other liquid is generally enhanced.
Solvent-solute interaction
05/04/2025 8
• In general, polar solvents dissolve polar solutes and
non-polar solvents dissolve non-polar solutes.
– Rule of thumb “Like dissolves Like”
• Semi-polar solvents such as acetone and alcohol act
as intermediate solvents.
Solvent-solute interaction
05/04/2025 9
• The solubility of a substance can be expressed in a number of
ways:
– Percentage, molarity and molality
– Most pharmacopoeia list the solubility of drugs in terms of
the number of parts of solvent required to dissolve one part
of the drug.
• In the pharmaceutical field, three concentration terms are
often used these are:
– Percent weight by weight (%w/w) which is the number of
grams of solute dissolved in 100 grams of solution.
Solubility expression
05/04/2025 10
– Percent volume by volume (%v/v) which is the number
of mL of solute dissolved in 100 mL of solution.
– Percent weight by volume (%w/v) which is the number
of grams of solute dissolved in 100 mL of solution.
• Molarity is defined as the number of moles (or gram
molecular weight) of solute dissolved in 1 liter of solution.
• Molality is defined as the number of moles of solute
dissolved in 1000g of solvent.
Solubility expression
05/04/2025 11
Term Parts of solvent required to dissolve 1 part of solute
Very soluble Less than 1 part
Freely soluble 1 to 10 parts
Soluble 10 to 30 parts
Sparingly soluble 30 to 100 parts
Slightly soluble 100 to 1000 parts
Very slightly soluble 1000 to 10,000 parts
Practically insoluble More than 10,000 parts
Solubility expression
Table: Solubility definition in the USP
05/04/2025 12
• Systems of solids in liquids include the most frequently
encountered and probably the most important type
of pharmaceutical solutions.
• Pharmaceutical solutions consists of a wide variety of
solutes and solvents
Solubility of solids in liquids
05/04/2025 13
• As a solid solute dissolves, it takes an energy to break
apart the crystal lattice structure and separate it into
ions or molecules to get to the individual ion or
molecule necessary to form a solution.
• The solvent-water-takes in energy to break apart its
hydrogen bonds to allow the solute to come in contact
with adjacent molecules of water.
• When the solute and the solvent come together, energy
is released.
Solubility and Heat of solution
05/04/2025 14
 The overall energy exchange is called the Heat of
solution
– The amount of heat energy absorbed or released
when a solute dissolves in a specific amount of a
solvent.
Solubility and Heat of solution
05/04/2025 15
Solubility and Heat of solution
05/04/2025 16
Pure solute  separated solute
molecules DHb > 0 (endo)
Pure solvent  separated solvent
molecules, DHa > 0 (endo)
Separated solvent and solute
molecules dissolve  solution
DHc < 0 (exo)
Overall: Pure solvent + pure solute 
solution DHsoln = DHa + DHb + DHc
Solubility and heat of solution…
05/04/2025 17
 Ideal solutions: Ideal solubility is approached when solute and
solvent are involved in similar intermolecular interactions
 If the IMFs of attraction are of the same type and equal strength, the
solvent and solute molecules randomly mix. A homogeneous solution
results, and is an ideal solution.
– “like dissolves like”
Ideal solution: has H
∆ soln = 0 and
certain properties that are
predictable from the properties of
the solution components.
Interactions b/n solvent
molecules A-A; solute
molecules B-B; solvent and
solute molecules A-B.
All same
Ideal solution
Solvent
Solute
05/04/2025 18
 In general, ideal solutions are rare.
 Solutions of non-polar solutes in non-polar solvents
usually come close to being ideal.
 However, solutions involving polar solutes or solvents almost
always show significant deviation from ideality.
Ideal solution…
05/04/2025 19
• The solubility of ideal solution can be predicted from heat of
fusion of the solute and depends on
– Temperature
– melting point of the solid
– molar heat of fusion H
∆ f , that is, the heat absorbed when the
solid melts
• The equation derived from thermodynamic consideration for an
ideal solution of a solid in a liquid is







 



0
0
f
2
2 TT
T
T
2.303R
ΔH
X
log
X
1
log
Solubility of Ideal solution







 

0
0
f
2
TT
T
T
2.303R
ΔH
-
X
log
05/04/2025 20
• Where X2 is the ideal solubility of solute expressed as a
mole fraction, T0 is the melting point of the solid solute
in Kelvins and T is temperature of the solution .
• The molar heat of fusion of various drug can be
obtained by plotting the log of solubility expressed in
mole fraction against absolute T which results in a
straight line with a slope of - H
∆ f/2.303R for an ideal
solution
constant
T
1
2.303R
ΔH
X
log f
2 


Solubility of Ideal solution…
05/04/2025 21
Constant
logX
2
2.303R
ΔHf

Solubility of Ideal solution…
05/04/2025 22
Example: Solubility of naphthalene
• What is the Solubility of naphthalene at 20o
C in an ideal
solution? The melting point of naphthalene is 80o
C and
the molar heat of fusion 4500 cal/mol.
0.27
293
x
353
293
353
1.987
x
2.303
4500
T
T
T
T
2.303R
ΔH
X
log
0
0
f
2 





 









 


Solubility of Ideal solution…
05/04/2025 23
Non-Ideal solution
 If the IMFs of attraction b/n unlike molecules exceed those of
like molecules, a solution still forms. A non-ideal solution
results.
Non-ideal solution: here
DHsoln < 0 (exothermic)
and the properties of the
solution components
cannot easily be
predicted. Interactions between solvent
molecules A-A; solute
molecules B-B; solvent and
solute molecules A-B.
Force dominates
Solvent
molecules
Solute
molecules
05/04/2025 24
Non-Ideal solution…
• IMF b/n unlike molecules
leading to a non-ideal solution.
• H-bonding b/n CHCl3
(chloroform) and (CH3)2CO
(acetone) molecules produces
forces of attraction b/n unlike
molecules that exceed those
b/n like molecules.
05/04/2025 25
• If the IMFs of attraction b/n unlike molecules is somewhat weaker
than those of like molecules, a non-ideal solution may still result.
Nonideal solution: here DHsoln >
0 (endothermic) and the
properties of the solution
components cannot easily be
predicted.
Interactions between
solvent molecules A-A;
solute molecules B-B;
solvent and solute
molecules A-B.
Stronger
Weaker
Non-Ideal solution…
05/04/2025 26
• If the IMFs of attraction b/n unlike molecules is
significantly weaker than those of like molecules, the
components remain segregated in a heterogeneous
mixture.
Dissolution does not occur to
any significant extent.
Think: Water and gasoline
Interactions b/n solvent
molecules A-A; solute
molecules B-B; solvent
and solute molecules A-B.
Non-Ideal solution…
05/04/2025 27
 A rise in T increases the solubility of a solid that absorbs
heat (endothermic process) when it dissolves and the
flask gets cold (more common)
Eg KNO3 , KBr
 The reaction may be exothermic when heat is released
as a result of solubility process, and the flask gets warm
(less common).
Eg Calcium hydroxide , calcium acetate , in this case solubility
decreases as T rises.
Solubility of strong electrolytes
05/04/2025 28
 NaCl does not absorb or evolve an appreciable amount
of heat when it dissolves in water; thus, its solubility is
not altered much by a change of temperature
 Sodium sulfate exists in hydrated form, Na2SO4 .
10H2O, up to a T of 32o
C the solution process is
endothermic and solubility increases with increase in T.
 Above this point the compound exists as anhydrous
salt, Na2SO4 , the dissolution is exothermic and solubility
decreases with an increase in T
Solubility of strong electrolytes…
05/04/2025 29
• Plots of solubility versus temperature, which are referred
to as solubility curves, are often used to describe the
effect of temperature on a given system.
Solubility of strong electrolytes…
05/04/2025 30
Solubility of strong electrolytes…
32 o
C
05/04/2025 31
Solubility of slightly soluble electrolyte
• When slightly soluble electrolytes are dissolved to form
saturated solution, the solubility is described by a special
constant, Ksp, solubility product.
• Eg: Silver chloride, AgCl, aluminum hydroxide, Al(OH)3
• At specific T: AgCl solid Ag+
+ Cl-
; Ksp= [Ag+
] [Cl-
]
Al(OH)3 solid Al3+
+3OH-
, Ksp = [Al3+
] [OH-
]3
05/04/2025 32
• Temperature: Endothermic Vs exothermic
Common ion effect
• If an ion in common with AgCl, Ag+ or Cl-
, is added to the
solution of silver chloride, the equilibrium is altered.
• Eg: the addition of NaCl increases the concentration of
Cl-
so that momentarily [Ag+
] [Cl-
] > Ksp
• And some of the AgCl precipitates from the solution until
equilibrium is reestablished, [Ag+
] [Cl-
] =Ksp.
• Common ion effect can reduce the solubility of slightly
soluble electrolytes
Solubility of slightly soluble electrolyte…
05/04/2025 33
• How can a pharmacist increase the solubility of slightly
soluble electrolytes apart from increasing T?
• Adding some substances that can tie up and reduce the
concentration of one of the ions
• Eg: If ferric ion, Fe3+,
in a solution of slightly soluble base
Fe(OH)3 can be combined by complex formation with
sodium citrate, more, Fe3+
will pass into solution so as to
keep Ksp constant.
• Therefore, citrate and similar compounds increase the
solubility of iron compounds
Solubility of slightly soluble electrolyte…
05/04/2025 34
Solubility of weak electrolytes
• A weak electrolyte forms only a few ions (< 1 %) in
solution with most of the compound staying in a non-
ionic form (> 99 %).
• Many important drugs belong to the class of weak acids
and bases.
• The solubility of weak electrolytes is strongly
influenced by the pH of the solution.
05/04/2025 35
• If the pH of a solution of either a weakly acidic drug or a
salt of such a drug is reduced then the proportion of
unionized acid molecules in the solution increases.
• Precipitation may therefore occur because the solubility
of the unionized species is less than that of the ionized
form.
• Conversely, in the case of solutions of weakly basic
drugs or their salts precipitation is favoured by an
increase in pH.
Solubility of weak…
05/04/2025 36
• Example: 1% solution of phenobarbital sodium is
soluble at pH values high in the alkaline range.
• The soluble ionic form is converted into molecular
phenobarbital as the pH is lowered, and below 9.3, the
drug begins to precipitate from solution at room
temperature.
Solubility of weak…
05/04/2025 37
• The solubility of a compound, at a given pH, is a
function of the solubility of the ionized form and the
limiting solubility of the neutral molecule.
• This gives rise to equations below, which describe the
relationship between the solubility of the free acid or
base So, the pKa and the pH.
S = [HA] + [A–] for acids
S = [B] + [BH+] for bases
So = [HA] for acids or [B]
Solubility of weak…
05/04/2025 38
 The change in solubility with respect to pH can be calculated by
using Henderson-Hasselbalch equations :
 Poorly-soluble weakly-acidic drugs:
pH= pKa + log [(S - So)/So]
 Poorly-soluble weakly-basic drugs:
pH= pKa + log [So/(S - So)]
where
So= Solubility of unionized free acid or base
S = Total solubility (unionized + ionized)
Solubility of weak…
05/04/2025 39
Phenobarbital
Below what pH will free phenobarbital begin to separate
from a solution having an initial concentration of 1 g of
sodium phenobarbital per 100 mL at 250
C? The molar
solubility, S0, of phenobarbital is 0.0050 and the pKa is 7.41
at 250
C. The molar weight of sodium phenobarbital is 254.
Solubility of weak…
05/04/2025 40
Factors affecting solubility
 Solubility of a compound depends upon factor such as:
• Temperature
• pH
• Particle size
• Crystal structure
• Molecular structure
• Nature of solvent
05/04/2025 41
Temperature
• Generally, the solubility of solid solutes in liquid solvents
increases with increasing T
• For effect of T on solubility we have to consider two criteria
05/04/2025 42
pH
1. Non-ionizable substances
– Little effect of pH on non-ionizable substances
– Solubility can be increased by change of dipole moment
2. Ionizable substances
– Depends on HEDERSON-HESSELBALCH equation.
05/04/2025 43
Particle size
 As the PS decreases solubility increases due to increase in the
surface area.
 But after very small PS, decrease in PS will decreases solubility due
to formation of agglomerates.
05/04/2025 44
 Solids exist as either amorphous compounds or
crystalline compounds depending on internal structure
of the compounds.
 Crystalline compounds are characterized by repetitious
spacing of constituent atom or molecule in three
dimensional array (lattice).
Crystal structure
05/04/2025 45
 Amorphous forms are, by definition, non-crystalline materials, i.e.,
they do not have no well defined molecular structure.
 In amorphous form atom or molecule are randomly placed.
 Solubility & dissolution rate are greater for amorphous form than
crystalline, as amorphous form has higher thermodynamic energy.
Amorphous form
05/04/2025 46
• When substances exists in more than one crystalline form, the
different form are designated as polymorphs and the
phenomenon as polymorphism.
• Polymorphs are two crystals that have the same composition ,
but different arrangement of molecules or crystal packing.
• Polymorphs have a different physicochemical properties even
though they are chemically identical, such as
• Melting point
• Solubility
• Density
• Stability
Polymorphism
05/04/2025 47
• Change in the molecular structure highly affects solubility of
compound.
1. Introduction of hydrophilic group
Benzene into phenol with increased solubility
2. Conversion into salt
Generally all salt forms are soluble
3. Esterification
Chloramphenicol into palmitate form for taste masking
Molecular structure
05/04/2025 48
Nature of solvent
05/04/2025 49
Distribution of solutes between immiscible liquids
 If a substance which is soluble in both components of a
mixture of immiscible liquids is dissolved in such a
mixture and when equilibrium is attained at constant
temperature, it is found that:
– the solute is distributed between the two liquids in
such a way that the ratio of the concentration of the
substance in each liquid is a constant.
 This is known as the Nernst distribution law or
partition law
05/04/2025 50
• Co is molar conc. in organic layer
• Cw is molar conc. in aqueous layer
• Kd is partition coefficient or distribution constant
Distribution of…
05/04/2025 51
Distribution of…
05/04/2025 52
For Strong / Non-electrolytes as Solutes
Strong electrolyte
 Strong electrolytes are completely dissociated in aqueous solution
– Cations & anions in aqueous layer water soluble
→
 Without ion pairing, do not partition into the organic layer
Non-electrolyte
05/04/2025 53
 If the drug has more than one ionization centre, the
distribution of species present will depend on the pH.
 The concentration of the ionized drug in the aqueous phase
will therefore have an effect on the overall observed partition
coefficient.
 This leads to the definition of the distribution coefficient
(log D) of a compound, which takes into account the
dissociation of weak acids and bases. For a weak acid this is
defined by
 
   aq
aq
org
A
HA
HA
D 


For Weak Electrolytes as Solutes
05/04/2025 54
 Partition Coefficient (oil/water) is a measure of a drug’s
lipophilicity and an indication of its ability to cross cell
membranes.
 It is defined as the ratio of unionized drug distributed
between the organic and aqueous phases at equilibrium.
 
 aq
org
Cpd
ionized
Un
Cpd
ionized
-
Un
P
log


Partition coefficient
05/04/2025 55
 In general,
– P < 1, indicative of hydrophilic drug
– P > 1, classified as lipophilic drug
What does it mean if log P = 0 , log P = 5 and log P = –2?
Partition coefficient…
05/04/2025 56
 The most common method for determining partition
and distribution coefficients is the shake flask method.
 In this technique, the candidate drug is shaken between
octanol (previously shaken together to presaturate
each phase with the other) and water layers, from
which an aliquot is taken and analyzed using UV
absorption, HPLC or titration.
Partition coefficient…
05/04/2025 57
Example for distribution
05/04/2025 58
 Preservative molecules in emulsions partitioning
between the aqueous and oil phases
 The absorption and distribution of drugs throughout
the body
 Drugs and preservative molecules partitioning into the
plastic of containers or giving sets
Application of distribution concepts
05/04/2025
59

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4. Solubility.pptxProbability sampling technique

  • 2. 05/04/2025 2  After completing this chapter, you should able to: – Define and understand the terms and concepts of solubility and miscibility – Identify the descriptive terms for solubility, their meaning, and their percent value. – Calculate solubility for an ideal solution – Recognize the factors that affect solubility – Define and understand the partitioning law, partition coefficients, and apparent partition coefficients Objectives of the chapter
  • 3. 05/04/2025 3 • Solubility is the amount of a solute that passes into solution or it is the number of parts of solvent (by volume) that will dissolve one part of solute (by weight of a solid or liquid). • As temperature influences solubility, temperature must be specified when the solubility of a substance is expressed. • A solution is said to be saturated when it contains the maximum amount of solute that a solvent can dissolve at a particular temperature. Introduction
  • 4. 05/04/2025 4 • An unsaturated solution is one that contains the dissolved solute in a concentration less than that required for complete saturation at a particular temperature. • A supersaturated solution is one that contains more concentration of the solute in the dissolved state than would normally be dissolved at a definite temperature. • Miscible used to refer to the solute when it is a liquid and will form a solution with a solvent over any concentration range. Introduction
  • 5. 05/04/2025 5 • Solubility of a substance serves as a standard test for purity • Select the best solvent for a drug or a mixture of drugs • Overcome problems arising during preparation of pharmaceutical solutions • Drug molecules are required to present in dissolved form, in order to be transported across biological membranes. • Direct administration of drug into the blood stream is desired Importance of Solubility
  • 6. 05/04/2025 6 • Development of analytical methods for drug – Reverse phase liquid chromatography • Development of sustained release products, taste masking and enhancement of chemical stability Solubility reduction Importance of Solubility
  • 7. 05/04/2025 7 • The solubility of a solute in a solvent may be predicted by the solute-solute, solvent-solvent, and solute-solvent interactions. • When the adhesive forces (attraction between unlike molecules, i.e., solute-solvent molecules) are more than the cohesive forces (attraction between like molecules, i.e., solute-solute or solvent-solvent molecules), the solubility of a solute in a solvent or the miscibility of a liquid in some other liquid is generally enhanced. Solvent-solute interaction
  • 8. 05/04/2025 8 • In general, polar solvents dissolve polar solutes and non-polar solvents dissolve non-polar solutes. – Rule of thumb “Like dissolves Like” • Semi-polar solvents such as acetone and alcohol act as intermediate solvents. Solvent-solute interaction
  • 9. 05/04/2025 9 • The solubility of a substance can be expressed in a number of ways: – Percentage, molarity and molality – Most pharmacopoeia list the solubility of drugs in terms of the number of parts of solvent required to dissolve one part of the drug. • In the pharmaceutical field, three concentration terms are often used these are: – Percent weight by weight (%w/w) which is the number of grams of solute dissolved in 100 grams of solution. Solubility expression
  • 10. 05/04/2025 10 – Percent volume by volume (%v/v) which is the number of mL of solute dissolved in 100 mL of solution. – Percent weight by volume (%w/v) which is the number of grams of solute dissolved in 100 mL of solution. • Molarity is defined as the number of moles (or gram molecular weight) of solute dissolved in 1 liter of solution. • Molality is defined as the number of moles of solute dissolved in 1000g of solvent. Solubility expression
  • 11. 05/04/2025 11 Term Parts of solvent required to dissolve 1 part of solute Very soluble Less than 1 part Freely soluble 1 to 10 parts Soluble 10 to 30 parts Sparingly soluble 30 to 100 parts Slightly soluble 100 to 1000 parts Very slightly soluble 1000 to 10,000 parts Practically insoluble More than 10,000 parts Solubility expression Table: Solubility definition in the USP
  • 12. 05/04/2025 12 • Systems of solids in liquids include the most frequently encountered and probably the most important type of pharmaceutical solutions. • Pharmaceutical solutions consists of a wide variety of solutes and solvents Solubility of solids in liquids
  • 13. 05/04/2025 13 • As a solid solute dissolves, it takes an energy to break apart the crystal lattice structure and separate it into ions or molecules to get to the individual ion or molecule necessary to form a solution. • The solvent-water-takes in energy to break apart its hydrogen bonds to allow the solute to come in contact with adjacent molecules of water. • When the solute and the solvent come together, energy is released. Solubility and Heat of solution
  • 14. 05/04/2025 14  The overall energy exchange is called the Heat of solution – The amount of heat energy absorbed or released when a solute dissolves in a specific amount of a solvent. Solubility and Heat of solution
  • 15. 05/04/2025 15 Solubility and Heat of solution
  • 16. 05/04/2025 16 Pure solute  separated solute molecules DHb > 0 (endo) Pure solvent  separated solvent molecules, DHa > 0 (endo) Separated solvent and solute molecules dissolve  solution DHc < 0 (exo) Overall: Pure solvent + pure solute  solution DHsoln = DHa + DHb + DHc Solubility and heat of solution…
  • 17. 05/04/2025 17  Ideal solutions: Ideal solubility is approached when solute and solvent are involved in similar intermolecular interactions  If the IMFs of attraction are of the same type and equal strength, the solvent and solute molecules randomly mix. A homogeneous solution results, and is an ideal solution. – “like dissolves like” Ideal solution: has H ∆ soln = 0 and certain properties that are predictable from the properties of the solution components. Interactions b/n solvent molecules A-A; solute molecules B-B; solvent and solute molecules A-B. All same Ideal solution Solvent Solute
  • 18. 05/04/2025 18  In general, ideal solutions are rare.  Solutions of non-polar solutes in non-polar solvents usually come close to being ideal.  However, solutions involving polar solutes or solvents almost always show significant deviation from ideality. Ideal solution…
  • 19. 05/04/2025 19 • The solubility of ideal solution can be predicted from heat of fusion of the solute and depends on – Temperature – melting point of the solid – molar heat of fusion H ∆ f , that is, the heat absorbed when the solid melts • The equation derived from thermodynamic consideration for an ideal solution of a solid in a liquid is             0 0 f 2 2 TT T T 2.303R ΔH X log X 1 log Solubility of Ideal solution           0 0 f 2 TT T T 2.303R ΔH - X log
  • 20. 05/04/2025 20 • Where X2 is the ideal solubility of solute expressed as a mole fraction, T0 is the melting point of the solid solute in Kelvins and T is temperature of the solution . • The molar heat of fusion of various drug can be obtained by plotting the log of solubility expressed in mole fraction against absolute T which results in a straight line with a slope of - H ∆ f/2.303R for an ideal solution constant T 1 2.303R ΔH X log f 2    Solubility of Ideal solution…
  • 22. 05/04/2025 22 Example: Solubility of naphthalene • What is the Solubility of naphthalene at 20o C in an ideal solution? The melting point of naphthalene is 80o C and the molar heat of fusion 4500 cal/mol. 0.27 293 x 353 293 353 1.987 x 2.303 4500 T T T T 2.303R ΔH X log 0 0 f 2                      Solubility of Ideal solution…
  • 23. 05/04/2025 23 Non-Ideal solution  If the IMFs of attraction b/n unlike molecules exceed those of like molecules, a solution still forms. A non-ideal solution results. Non-ideal solution: here DHsoln < 0 (exothermic) and the properties of the solution components cannot easily be predicted. Interactions between solvent molecules A-A; solute molecules B-B; solvent and solute molecules A-B. Force dominates Solvent molecules Solute molecules
  • 24. 05/04/2025 24 Non-Ideal solution… • IMF b/n unlike molecules leading to a non-ideal solution. • H-bonding b/n CHCl3 (chloroform) and (CH3)2CO (acetone) molecules produces forces of attraction b/n unlike molecules that exceed those b/n like molecules.
  • 25. 05/04/2025 25 • If the IMFs of attraction b/n unlike molecules is somewhat weaker than those of like molecules, a non-ideal solution may still result. Nonideal solution: here DHsoln > 0 (endothermic) and the properties of the solution components cannot easily be predicted. Interactions between solvent molecules A-A; solute molecules B-B; solvent and solute molecules A-B. Stronger Weaker Non-Ideal solution…
  • 26. 05/04/2025 26 • If the IMFs of attraction b/n unlike molecules is significantly weaker than those of like molecules, the components remain segregated in a heterogeneous mixture. Dissolution does not occur to any significant extent. Think: Water and gasoline Interactions b/n solvent molecules A-A; solute molecules B-B; solvent and solute molecules A-B. Non-Ideal solution…
  • 27. 05/04/2025 27  A rise in T increases the solubility of a solid that absorbs heat (endothermic process) when it dissolves and the flask gets cold (more common) Eg KNO3 , KBr  The reaction may be exothermic when heat is released as a result of solubility process, and the flask gets warm (less common). Eg Calcium hydroxide , calcium acetate , in this case solubility decreases as T rises. Solubility of strong electrolytes
  • 28. 05/04/2025 28  NaCl does not absorb or evolve an appreciable amount of heat when it dissolves in water; thus, its solubility is not altered much by a change of temperature  Sodium sulfate exists in hydrated form, Na2SO4 . 10H2O, up to a T of 32o C the solution process is endothermic and solubility increases with increase in T.  Above this point the compound exists as anhydrous salt, Na2SO4 , the dissolution is exothermic and solubility decreases with an increase in T Solubility of strong electrolytes…
  • 29. 05/04/2025 29 • Plots of solubility versus temperature, which are referred to as solubility curves, are often used to describe the effect of temperature on a given system. Solubility of strong electrolytes…
  • 30. 05/04/2025 30 Solubility of strong electrolytes… 32 o C
  • 31. 05/04/2025 31 Solubility of slightly soluble electrolyte • When slightly soluble electrolytes are dissolved to form saturated solution, the solubility is described by a special constant, Ksp, solubility product. • Eg: Silver chloride, AgCl, aluminum hydroxide, Al(OH)3 • At specific T: AgCl solid Ag+ + Cl- ; Ksp= [Ag+ ] [Cl- ] Al(OH)3 solid Al3+ +3OH- , Ksp = [Al3+ ] [OH- ]3
  • 32. 05/04/2025 32 • Temperature: Endothermic Vs exothermic Common ion effect • If an ion in common with AgCl, Ag+ or Cl- , is added to the solution of silver chloride, the equilibrium is altered. • Eg: the addition of NaCl increases the concentration of Cl- so that momentarily [Ag+ ] [Cl- ] > Ksp • And some of the AgCl precipitates from the solution until equilibrium is reestablished, [Ag+ ] [Cl- ] =Ksp. • Common ion effect can reduce the solubility of slightly soluble electrolytes Solubility of slightly soluble electrolyte…
  • 33. 05/04/2025 33 • How can a pharmacist increase the solubility of slightly soluble electrolytes apart from increasing T? • Adding some substances that can tie up and reduce the concentration of one of the ions • Eg: If ferric ion, Fe3+, in a solution of slightly soluble base Fe(OH)3 can be combined by complex formation with sodium citrate, more, Fe3+ will pass into solution so as to keep Ksp constant. • Therefore, citrate and similar compounds increase the solubility of iron compounds Solubility of slightly soluble electrolyte…
  • 34. 05/04/2025 34 Solubility of weak electrolytes • A weak electrolyte forms only a few ions (< 1 %) in solution with most of the compound staying in a non- ionic form (> 99 %). • Many important drugs belong to the class of weak acids and bases. • The solubility of weak electrolytes is strongly influenced by the pH of the solution.
  • 35. 05/04/2025 35 • If the pH of a solution of either a weakly acidic drug or a salt of such a drug is reduced then the proportion of unionized acid molecules in the solution increases. • Precipitation may therefore occur because the solubility of the unionized species is less than that of the ionized form. • Conversely, in the case of solutions of weakly basic drugs or their salts precipitation is favoured by an increase in pH. Solubility of weak…
  • 36. 05/04/2025 36 • Example: 1% solution of phenobarbital sodium is soluble at pH values high in the alkaline range. • The soluble ionic form is converted into molecular phenobarbital as the pH is lowered, and below 9.3, the drug begins to precipitate from solution at room temperature. Solubility of weak…
  • 37. 05/04/2025 37 • The solubility of a compound, at a given pH, is a function of the solubility of the ionized form and the limiting solubility of the neutral molecule. • This gives rise to equations below, which describe the relationship between the solubility of the free acid or base So, the pKa and the pH. S = [HA] + [A–] for acids S = [B] + [BH+] for bases So = [HA] for acids or [B] Solubility of weak…
  • 38. 05/04/2025 38  The change in solubility with respect to pH can be calculated by using Henderson-Hasselbalch equations :  Poorly-soluble weakly-acidic drugs: pH= pKa + log [(S - So)/So]  Poorly-soluble weakly-basic drugs: pH= pKa + log [So/(S - So)] where So= Solubility of unionized free acid or base S = Total solubility (unionized + ionized) Solubility of weak…
  • 39. 05/04/2025 39 Phenobarbital Below what pH will free phenobarbital begin to separate from a solution having an initial concentration of 1 g of sodium phenobarbital per 100 mL at 250 C? The molar solubility, S0, of phenobarbital is 0.0050 and the pKa is 7.41 at 250 C. The molar weight of sodium phenobarbital is 254. Solubility of weak…
  • 40. 05/04/2025 40 Factors affecting solubility  Solubility of a compound depends upon factor such as: • Temperature • pH • Particle size • Crystal structure • Molecular structure • Nature of solvent
  • 41. 05/04/2025 41 Temperature • Generally, the solubility of solid solutes in liquid solvents increases with increasing T • For effect of T on solubility we have to consider two criteria
  • 42. 05/04/2025 42 pH 1. Non-ionizable substances – Little effect of pH on non-ionizable substances – Solubility can be increased by change of dipole moment 2. Ionizable substances – Depends on HEDERSON-HESSELBALCH equation.
  • 43. 05/04/2025 43 Particle size  As the PS decreases solubility increases due to increase in the surface area.  But after very small PS, decrease in PS will decreases solubility due to formation of agglomerates.
  • 44. 05/04/2025 44  Solids exist as either amorphous compounds or crystalline compounds depending on internal structure of the compounds.  Crystalline compounds are characterized by repetitious spacing of constituent atom or molecule in three dimensional array (lattice). Crystal structure
  • 45. 05/04/2025 45  Amorphous forms are, by definition, non-crystalline materials, i.e., they do not have no well defined molecular structure.  In amorphous form atom or molecule are randomly placed.  Solubility & dissolution rate are greater for amorphous form than crystalline, as amorphous form has higher thermodynamic energy. Amorphous form
  • 46. 05/04/2025 46 • When substances exists in more than one crystalline form, the different form are designated as polymorphs and the phenomenon as polymorphism. • Polymorphs are two crystals that have the same composition , but different arrangement of molecules or crystal packing. • Polymorphs have a different physicochemical properties even though they are chemically identical, such as • Melting point • Solubility • Density • Stability Polymorphism
  • 47. 05/04/2025 47 • Change in the molecular structure highly affects solubility of compound. 1. Introduction of hydrophilic group Benzene into phenol with increased solubility 2. Conversion into salt Generally all salt forms are soluble 3. Esterification Chloramphenicol into palmitate form for taste masking Molecular structure
  • 49. 05/04/2025 49 Distribution of solutes between immiscible liquids  If a substance which is soluble in both components of a mixture of immiscible liquids is dissolved in such a mixture and when equilibrium is attained at constant temperature, it is found that: – the solute is distributed between the two liquids in such a way that the ratio of the concentration of the substance in each liquid is a constant.  This is known as the Nernst distribution law or partition law
  • 50. 05/04/2025 50 • Co is molar conc. in organic layer • Cw is molar conc. in aqueous layer • Kd is partition coefficient or distribution constant Distribution of…
  • 52. 05/04/2025 52 For Strong / Non-electrolytes as Solutes Strong electrolyte  Strong electrolytes are completely dissociated in aqueous solution – Cations & anions in aqueous layer water soluble →  Without ion pairing, do not partition into the organic layer Non-electrolyte
  • 53. 05/04/2025 53  If the drug has more than one ionization centre, the distribution of species present will depend on the pH.  The concentration of the ionized drug in the aqueous phase will therefore have an effect on the overall observed partition coefficient.  This leads to the definition of the distribution coefficient (log D) of a compound, which takes into account the dissociation of weak acids and bases. For a weak acid this is defined by      aq aq org A HA HA D    For Weak Electrolytes as Solutes
  • 54. 05/04/2025 54  Partition Coefficient (oil/water) is a measure of a drug’s lipophilicity and an indication of its ability to cross cell membranes.  It is defined as the ratio of unionized drug distributed between the organic and aqueous phases at equilibrium.    aq org Cpd ionized Un Cpd ionized - Un P log   Partition coefficient
  • 55. 05/04/2025 55  In general, – P < 1, indicative of hydrophilic drug – P > 1, classified as lipophilic drug What does it mean if log P = 0 , log P = 5 and log P = –2? Partition coefficient…
  • 56. 05/04/2025 56  The most common method for determining partition and distribution coefficients is the shake flask method.  In this technique, the candidate drug is shaken between octanol (previously shaken together to presaturate each phase with the other) and water layers, from which an aliquot is taken and analyzed using UV absorption, HPLC or titration. Partition coefficient…
  • 58. 05/04/2025 58  Preservative molecules in emulsions partitioning between the aqueous and oil phases  The absorption and distribution of drugs throughout the body  Drugs and preservative molecules partitioning into the plastic of containers or giving sets Application of distribution concepts

Editor's Notes

  • #6: Reversed phase HPLC- uses non-polar stationary phase and polar mobile phase
  • #17: A logical starting point for approaching formulation development is “ideal solubility” , de -fined as the solubility of a solute in the perfect solvent, for which there is no energy penalty associated with the dissolution process. This definition of ideal doesn’t cover cases where there are specific chemical reactions (i.e., acid-base) or ionic effects (in water) associated with dissolution. The ideal solubility depends only on the energy penalty needed to break the crystalline structure of the API – the API has to “melt” before it can dissolve. If the enthalpy of fusion, the melting point and heat capacities are known, the ideal solubility can be calculated. An ideal solution is defined as a solution in which there is no change in the properties of the components other than dilution, when they are mixed to form a solution. Thus molecules in ideal solution experiences or exhibits complete freedom of motion and randomness of distribution in the solution. In this process no heat is absorbed or evolved during mixing of the components and the final volume of the solution is simply the sum of the volumes of its constitutes. There is no expansion or contraction when they are mixed. Ideal solution are formed by mixing substance having similar properties. 50 ml methanol is mixed with 50ml of ethanol=100ml of solution.
  • #18: There is actually no such thing as an ideal mixture! However, some liquid mixtures get fairly close to being ideal. These are mixtures of two very closely similar substances. Commonly quoted examples include: hexane and heptane, benzene and methylbenzene (toluene), propan-1-ol and propan-2-ol, ethyl bromide and ethyl iodide, chlorobenzene and bromo benzene In a pure liquid, some of the more energetic molecules have enough energy to overcome the intermolecular attractions and escape from the surface to form a vapour. The smaller the intermolecular forces, the more molecules will be able to escape at any particular temperature. If you have a second liquid, the same thing is true. At any particular temperature a certain proportion of the molecules will have enough energy to leave the surface. In an ideal mixture of these two liquids, the tendency of the two different sorts of molecules to escape is unchanged. If the red molecules still have the same tendency to escape as before, that must mean that the intermolecular forces between two red molecules must be exactly the same as the intermolecular forces between a red and a blue molecule. If the forces were any different, the tendency to escape would change. Exactly the same thing is true of the forces between two blue molecules and the forces between a blue and a red. They must also be the same otherwise the blue ones would have a different tendency to escape than before. If you follow the logic of this through, the intermolecular attractions between two red molecules, two blue molecules or a red and a blue molecule must all be exactly the same if the mixture is to be ideal. This is why mixtures like hexane and heptane get close to ideal behaviour. They are similarly sized molecules and so have similarly sized van der Waals attractions between them. However, they obviously aren't identical - and so although they get close to being ideal, they aren't actually ideal.
  • #19: X2 is the ideal solubility of solute expressed as a mole fraction, T0 is the melting point of the solid solute in Kelvins and T is temperature of the solution . This equation will no longer be applicable if the temperature of the solution is greater than melting temperature, above T0 the solid exists as liquid and in an ideal solution the liquid solutes are miscible in all proportion of the solvent. In ideal solution, solubility of the solute does not depend on the nature of the solvent. From a practical perspective, estimating the ideal solubility is worthwhile as it will prompt the formulator to investigate alternate formulation methods rather than spend time attempting to develop a solubilizing formulation approach when the ideal solubility is too low for the intended application. One can’t fight the laws of thermodynamics.
  • #20: When you make any mixture of liquids, you have to break the existing intermolecular attractions (which needs energy), and then remake new ones (which releases energy). If all these attractions are the same, there won't be any heat either evolved or absorbed. That means that an ideal mixture of two liquids will have zero enthalpy change of mixing. If the temperature rises or falls when you mix the two liquids, then the mixture isn't ideal.
  • #23: When stronger solute-solvent interactions occur, heat is released upon dissolving ( ∆ H soln< 0). A non-ideal solution is a solution that does not abide to the rules of an ideal solution where the interactions between the molecules are identical (or very close) to the interactions between molecules of different components. That is, there is no forces acting between the components: no Van-der-Waals nor any Coulomb forces. We assume ideal properties for dilute solutions.
  • #25: When weakersolvent-solute interactions occur, heat is removed upon dissolving ( ∆ Hsoln> 0)
  • #27: An electrolyte is a compound which forms ions in solution. A strong electrolyte is nearly completely dissolved as ions (> 99 %) and not as an associated unionized compound (< 1 %).
  • #28: The reaction is neither exothermic nor endothermic(=0) e.g NaCl , in this case the solubility is not affected by temperature
  • #33: More of the salt will then pass from the undissolved to dissolved state until the solubility product constant is reached and the equilibrium is re-established.
  • #34: This relationship between pH and the solubility of ionized solutes is extremely important with respect to the ionization of weakly acidic and basic drugs as they pass through the gastrointestinal tract and expe-rience pH changes between about 1 and 8. This will affect the degree of ionization of the drug molecules, which in turn influences their solubility and their ability to be absorbed.
  • #43: The increase in solubility with decrease in particle size ceases when the particles have a very small radius, and any further decrease in size causes a decrease in solubility. It has been postulated that this change arises from the presence of an electrical charge on the particles and that the effect of this charge becomes more important as the size of the particles decreases.
  • #46: It is the ability of the compound to crystallize as more than one distinct crystalline species with different internal lattice. Different crystalline forms are called polymorphs. so that the occurrence of polymorphism has important formulation, biopharmaceutical and chemical process implications.
  • #47: Eg. Introduction of the hydrophilic group in hydrophobic substance may improve solubility. Like aldehydes and ketones, they are polar molecules and so have dipole-dipole interactions as well as van der Waals dispersion forces. However, they don't form hydrogen bonds, and so their boiling points aren't anything like as high as an acid with the same number of carbon atoms.
  • #49: a solute will distribute itself between two immiscible solvents so that the ratio of its conc. in each solvent is equal to the ratio of its solubility in each one
  • #55: Log P = 1 means 10:1 Organic:Aqueous Log P = 0 means 1:1 Organic:Aqueous Log P = -1 means 1:10 Organic: AqueousIt is worth noting that this is a logarithmic scale, therefore, a log P = 0 means that the compound is equally soluble in water and in the partitioning solvent. If the compound has a log P = 5, then the compound is 100,000 times more soluble in the partitioning solvent. A log P = –2 means that the compound is 100 times more soluble in water, i.e., it is quite hydrophilic. In general, Drugs having values if P much greater than 1 are classified as lipophilic, whereas those with partition coefficient much less than 1 are indicative of a hydrophilic drug.