Assiut University Faculty of Pharmacy PHARMACEUTICS SOLUBILITY AND DISTRIBUTION PHENOMENA For First year Pharmacy By Dr. Dina Fathalla Mohamed Mohamed Lecturer of pharmaceutics Pharmaceutical Department SOLUBILITY AND DISTRIBUTION PHENOMENA The solubility of a compound depends upon: a) the physical and chemical properties of the solute and the solvent, b) temp, c) pressure, d) pH of the soln, and e) the state of subdivision of the solute. Of the nine possible types of mixtures, based on the three states of matter only gases in liquids, liquids in liquids, and solids in liquids are of particular pharmaceutical importance and will be considered in this chapter. Definitions: A saturated soln is one in which the solute is in equilibrium with the solid phase (solute). Solubility is defined in quantitative terms as the conc of solute in a saturated soln at a certain temp, and in a qualitative way, it may be defined as the spontaneous interaction of two or more substances to form a homogeneous molecular dispersion. An unsaturated or subsaturated soln is one containing the dissolved solute in a conc below that necessary for complete saturation at a definite temp. A supersaturated soln is one that contains more of the dissolved solute than it would normally contain at a definite temp, were the undissolved solute present. Some salts such as sodium thiosulfate and sodium acetate can be dissolved in large amounts at an elevated temp and, upon cooling, fail to crystallize from the soln. Such supersaturated solns can be converted to stable saturated solns by: 1- seeding the soln with a crystal of solute, 2- vigorous agitation, 3- scratching the walls of the container. Supersaturation occurs when the small nuclei of the solute required for the initiation of crystal formation are more soluble than larger crystals, making it difficult for the nuclei to form and grow with resultant failure of crystallization. Solubility Expressions: The solubility of a drug may be expressed in a number of ways: The U.S. Pharmacopoeia and National Formulary list the solubility of drugs as the number of milliliters of solvent in which 1 gram of solute will dissolve. For example, the solubility of boric acid is 1 g of boric acid dissolves in 18 ml of water, in 18 ml of alcohol, and in 4 ml of glycerin. Solubility is also quantitatively expressed in terms of molality, molarity, and percentage. For substances whose solubilities are not definitely known, the values are described in pharmaceutics by the use of certain general terms, as given in Table (1). Table (1): Terms of Approximate Solubility Term Parts of solvent Required for 1 Part of Solute Very soluble Less than 1 part Freely soluble 1 to 1 0 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 or insoluble More than 10,000 parts Solvent-Solute Interactions The pharmacist knows that water is a good solvent for salts, sugars, and similar compounds. Mineral oil and benzene are often solvents for substances that are normally only slightly soluble in water. There empirical findings are summarized in the statement: "like dissolves like". Polar Solvents: The solubility of a drug is due to the polarity of the solvent, i.e., to its dipole moment. Polar solvents dissolve ionic solutes and other polar substances. Accordingly, water mixes in all proportions with alcohol and dissolves sugars and other polyhydroxy compounds. Hildebrand has shown, that a consideration of dipole moments alone is not adequate to explain the solubility of polar substances in water. because The ability of the solute to form hydrogen bonds with the solvent has a more effect than is the polarity as reflected in a high dipole moment. For example Water dissolves phenols, alcohols, aldehydes, ketones, amines, and other oxygen and nitrogencontaining compounds that can form hydrogen bonds with water. The molecules of water in ice are joined together by hydrogen bonds to yield a tetrahedral structure. Although some of the hydrogen bonds are broken when ice melts, water still retains its ice like structure in large measure at ordinary temp. This quasi-crystalline structure is broken down when water is mixed with another substance that is capable of hydrogen bonding. When ethyl alcohol and water are mixed, the hydrogen bonds between the water molecules are replaced partly by hydrogen bonds between water and alcohol molecules. In addition to the factors already enumerated, the solubility of a substance also depends on structural features such as the ratio of the polar to non-polar groups of the molecule. As the length of a non-polar chain of an aliphatic alcohol increases, the solubility of the compound in water decreases. Straight chain monohydroxy alcohols, aldehydes, ketones, and acids with more than four or five carbons cannot enter into the hydrogen bonded structure of water and hence are only slightly soluble. When additional polar groups are present in the molecule, as found in propylene glycol, glycerin, and tartaric acid, water solubility increases greatly. Branching of the carbon chain reduces the non-polar effect and leads to increased water solubility. Tertiary butyl alcohol is miscible in all proportions with water, whereas n-butyl alcohol dissolves to the extent of about 8 g/100 ml of water at 20°C. In brief, polar solvents such as water act as solvents according to the following mechanisms: a) Owing to their high dielectric constant, namely about 80 for water, polar solvents reduce the force of attraction between oppositely charged ions in crystals such as sodium chloride. Chloroform has a dielectric constant of 5 and benzene of 2 hence, ionic compounds are practically insoluble in these solvents. b) Polar solvents break covalent bonds of potentially strong electrolytes by acid-base reactions since these solvents are amphiprotic. For example, water brings about the ionization of Hcl as follows: Hcl + H2O →H3O+ + ClWeak organic acids are not ionized by water; their partial solubility in water is attributed to the hydrogen bond formation with water. Phenols and carboxylic acids, are readily dissolved in solutions of strong bases. c) Finally, polar solvents are capable of solvating molecules and ions through dipole interaction forces, particularly hydrogen bond formation, which leads to the solubility of the compound. The ion-dipole interaction between the sodium salt of oleic acid and water may be depicted as: Non polar Solvents: Non polar solvents are unable to reduce the attraction between the ions of strong and weak electrolytes because of the solvents have low dielectric constants. The solvents cannot break covalent bonds and ionize weak electrolytes since they belong to the group known as aprotic solvents and they cannot form hydrogen bridges with non electrolytes. So, ionic and polar solutes are not soluble or are only slightly soluble in non polar solvents. Non polar compounds can dissolve non polar solutes with similar internal pressures through induced dipole interactions. The solute molecules are kept in soln by the weak van der Waals-London type of forces. Oils and fats dissolve in carbon tetrachloride, benzene, and mineral oil. Alkaloidal bases and fatty acids also dissolve in non polar solvents. Semipolar Solvents: Semipolar solvents, such as ketones and alcohols, can induce a certain degree of polarity in non polar solvent molecules. Semipolar compounds may act as intermediate solvents to bring about miscibility of polar and non polar liquids. (definition) Benzene, becomes soluble in alcohol. Acetone increases the solubility of ether in water. Propylene glycol increase the mutual solubility of water and peppermint oil and of water and benzyl benzoate. In short, solubility depends on chemical, electric, and structural effects that lead to mutual interactions between the solute and solvent. Determination of solubility The importance of determination of solubility is : Not only to know solubilities in connection with the preparation and dispensing of medicines. but such information is necessary to effect separation of substances in qualitative and quantitative analysis. Furthermore, the accurate determination of the solubility of a substance is one of the best methods for determining its purity. The determination is usually carried out by one of the following methods: 1. Analytical Method: Principal: excess of the finely divided solid is agitated continuously with the solvent at the required temp until equilibrium is attained. The apparatus shown in fig.1 is convenient and gives very accurate results. Fig. (1): Apparatus for solubility determinations Mechanism of working: Filter tube A, which is about 3 mm pore and end tube B is capillary tubing. The lower bottle is charged with solute and solvent and agitated in a thermostat until soln is complete, up to 24 hours or more may be required for this. The apparatus is then inverted in the thermostat to allow the soln to filter through A into the empty bottle, the expelled air being returned by tube B. The bend in B prevents the transference of solid into empty bottle. The apparatus is removed from the thermostat and the filtered saturated soln is analyzed. In the determination of solubility of finely powdered materials of low solubility a membrane filter (0.2 um) is used. R The analysis of saturated soln is performed by any suitable quantitative chemical or physical analysis. Solubility of Gases in Liquids Pharmaceutical solns of gases include hydrochloric acid, ammonia water, and effervescent preparations containing carbon dioxide that are dissolved and maintained in soln under positive pressure. Aerosol products in which the propellant is either carbon dioxide or nitrogen, some of which is dissolved under pressure, can also be considered to fall under this classification. The solubility of a gas in a liquid is the conc of the dissolved gas when it is in equilibrium with some of the pure gas above the soln. (definition) The solubility depends primarily on the pressure, temp, presence of salts, and chemical reactions that the gas sometimes undergoes with the solvent. Effect of Pressure: The pressure of a gas above the soln is an important consideration in gaseous solutions since it changes the solubility of the dissolved gas in equilibrium with it. The effect of the pressure on the solubility of a gas is expressed by Henry's Law, which states that at constant temp, the conc of dissolved gas is proportional to the partial pressure of the gas above the soln at equilibrium. If C2 is the conc of the dissolved gas in grams/liter of solvent and p is the partial pressure in mmHg of the undissolved gas above the soln, Henry's relationship may be written as C2 =σp in which σ is a proportionality constant for the soln. It is sometimes referred to as the solubility coefficient. Importance of Henry's law in pharmacy: Solubility of a gas increases directly as the pressure of the gas in the soln is increased and conversely, that the solubility of the gas decreases so that sometimes the gas escapes with violence when the pressure above the soln is released. This phenomenon is commonly recognized in effervescent solutions when the stopper of the container is removed. Effect of Temp: Temp also has a marked influence on the solubility of a gas in a liquid. As the temp increases, the solubility of most gases decreases, owing to the greater tendency of the gas to expand. Salting Out: Gases are often liberated from solns in which they are dissolved by the introduction of an electrolyte such as sodium chloride and sometimes by a nonelectrolyte such as sucrose. This phenomenon is known as salting out. The salting out effect may be demonstrated by adding a small amount of salt to a carbonated soln. The resultant escape of gas is due to the attraction of the salt ions or the highly polar non-electrolyte for the water molecules, which reduces the density of the aqueous environment adjacent to the gas molecules. Effect of Chemical Reaction: Gases such as hydrogen chloride, ammonia, and carbon dioxide show deviations as a result of chemical reaction between the gas and solvent, usually with a resultant increase in solubility. Accordingly, hydrogen chloride is about 10,000 times more soluble in water than in oxygen. Hcl + H2O → H3O+ + Cl- Solubility of Liquids in Liquids: Frequently two or more liquids are mixed together in the preparation of pharmaceutical solns. examples Alcohol is added to water to form hydroalcoholic solns of various concs. Volatile oils are mixed with water to form dilute solns known as aromatic waters, Volatile oils are added to alcohol to yield spirits and elixirs. Ether and alcohol are combined in collodions. Ideal and Real Solutions: According to Raoult's law, pi = pi0 Xi The partial pressure pi of a component in a liquid mixture at a definite temp is equal to the vapor pressure in the pure state multiplied by the mole fraction of the component in the soln. The mixture is said to be ideal when both components of a binary soln obey Raoult's law. If one of the components shows a -ve deviation, the other component must also show -ve deviation. The corresponding statement can also be made for +ve deviations from Raoult's law. Negative deviations (where adhesive forces A-B>> cohesive forces A-A or B-B) lead to increased solubility and are associated with hydrogen bonding between polar compounds. Positive deviations, (where adhesive forces << cohesive forces) leading to decreased solubility, resulting from association of the molecules of one of the constituents to form double molecules (dimers) or polymers of higher order. The interaction of the solvent with the solute is known as solvation. When the vapor is assumed to be nearly ideal, the internal pressure in cal/cm3 is obtained by using the equation. Pi = ∆Hv-RT/V in which ∆HV is the heat of vaporization and V is the molar volume of the liquid at temp T. When the internal pressures ( it is the attractive forces between molecules of one constituent or cohesive forces of the constituents of a mixture such as hexane and water are quite different, partial solubility results. Polar liquids have high cohesive forces, i.e., large internal pressures, and they are solvents only for compounds of similar nature. Liquid-liquid systems may be divided into two categories according to the solubility of the substances in one another: (1) complete miscibility and (2) partial miscibility. The term miscibiltiy refers to the mutual solubilities of the components in liquid-liquid systems. Complete Miscibility: Polar and semi-polar solvents, such as water and alcohol, glycerin and alcohol, and alcohol and acetone, are said to be completely miscible since they mix in all proportions. Non-polar solvents such as benzene and carbon tetrachloride are also completely miscible. Partial Miscibility: When certain amounts of water and ether or water and phenol are mixed, two liquid layers are formed, each containing some of the other liquid in the dissolved state. The mutual solubilities of partially miscible liquids are influenced by temperature. In a system such as phenol and water, the mutual solubilities of the two phases increase with temp. until, the critical soln temp. (or upper consolute temp.), the compositions become identical. At this temp., a homogeneous or single phase system is formed. In the case of some liquid pairs, (ex. Triethyl amine in water) the solubility can increase as the temp. is lowered, and the system will exhibit a lower consolute temp., below which the two members are soluble in all proportions and above which two separate layers form. Another type, involving a few mixtures such as nicotine and water shows both an upper and a lower consolute temp. with an intermediate temp. region in which the two liquids are only partially miscible. A final type exhibits no critical soln temp, the pair, ethyl ether and water, has neither an upper nor a lower consolute temp. and shows partial miscibility over the entire temp. range at which the mixture exists. Influence of Foreign Substances: The addition of a substance to a binary liquid system produces a ternary system, i.e., one having three components. If the added material is soluble in only one of the two components, the mutual solubility of the liquid pair is decreased. If the original binary mixture has an upper critical solution temp., the temperature is raised, if it has a lower consolute temp., it is lowered by the addition of the third component. For example, if naphthalene is added to a mixture of phenol and water, it dissolves only in the phenol and raises the consolute temp. If potassium chloride is added to a phenol-water mixture, it dissolves only in water and raises the consolute temp. When the third substance is soluble in both of the liquids to roughly the same extent, the mutual solubility of the liquid pair is increased, an upper critical solution temp. is lowered and a lower critical solution temp. is raised. Ex. The addition of succinic acid or sodium oleate to a phenol-water system. The increase in mutual solubility of two partially miscible solvents by another agent is ordinarily referred to as blending. When the solubility in water of a non-polar liquid is increased by a micelle forming surface active agent, the phenomenon is called micellar solubilization. Solubility of Solids in Liquids: Systems of solids in liquids are most pharmaceutical solns. Ideal solns: The solubility of a solid in an ideal soln depends on temp, melting point of the solid, and molar heat of fusion ∆Hf, i.e., the heat absorbed when the solid melts. The equation for an ideal solution of a solid in a liquid is: (Vant Hoff) - log X2i = ∆ Hf/2.303R (T0-T/ TT0) (2) in which X2i is the ideal solubility of the solute expressed in mole fraction, T0 is the melting point of the solid solute in absolute degrees, and T is the absolute temp. of the soln. The superscript i in the symbol X2i refers to an ideal soln, and the subscript 2 designates the mole fraction of the solute. At temp. above the melting point, the solute is in the liquid state, and in an ideal soln, the liquid solute is miscible in all proportions with the solvent. Therefore, equation (2) no longer applies when T > T0. The equation is also inadequate at temp. considerably below the melting point where ∆Hf can no longer be used. Example: What is the solubility of naphthalene at 20°C in an ideal soln? The melting point of naphthalene is 80°C, and the molar heat of fusion is 4500 cal/mole. log X2i = - 4500/ 2.303x 1.987 (353-293/293x353) X2i = 0.27 Non ideal solns: The activity of a solute in a soln is expressed as the conc. multiplied by the activity coefficient. When the conc. is given in mole fraction, the activity is expressed as a2 = X2Ɣ2 (3) in which Ɣ2 is known as the rational activity coefficient. Converting to logarithms, we have log a2 = log X2 + log Ɣ2 (4) In an ideal soln, a2 = X2i because Ɣ2 = 1 , and accordingly the ideal solubility, equation, may be expressed in terms of activity as - log a2 = - log X2i = ∆ Hf/2.303RT (T0-T/T0) By combining equations 3&4 the mole fraction solubility of a solute in a non-ideal soln, expressed in log form, becomes - log Xi2 = ∆ Hf/2.303R (T0-T/TT0) + logƔ2 (5) Therefore, the mole fraction solubility in various solvents can be expressed as the sum of two terms: 1- the solubility in an ideal soln and 2- the logarithm of the activity coefficient of the solute. As a real soln becomes more ideal, Ɣ2 approaches unity, and equation (5) reduces to equation (2). Factors affecting the solubility of solid in liquid: 1- Effect of temp: The effect of temp. on the solubility of some salts in water is shown in (Fig. 2). A rise in temp. increases the solubility of a solid that absorbs heat (endothermic process) when it dissolves. This effect conforms with the Le Chatelier principle, which states that a system tends to adjust itself in a manner so as to counteract a stress such as an increase of temp. Conversely, if the soln process is exothermic, i.e., if heat is evolved, the temp. of the soln rises and solubility in decreases with an elevation of the temp. Most solids belong to the class of compounds that absorb heat when they dissolve. Sodium sulfate exists in the hydrate form, Na2SO4. 10 H2O, up to a temp. of about 32°C, the soln process (dissolution) is endothermic, and solubility increases with temp. Above this point, the compound exists as the anhydrous salt, Na2SO4, the dissolution is exothermic, and solubility decreases with an increase of temp. Sodium chloride 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 temp., and the heat of solution is approximately zero. Temperature (˚C) Fig. (2): The influence of temperature on the solubility of various salts. 2- Effect of complex formation: The solubility of a solute in liquid may be increased or decreased by the addition of a third substance which forms an intermolecular complex with the solute. The solubility of the complex will determine the apparent change in the solubility of the original solute. It has been shown that soluble and insoluble complexes may be obtained by interactions between various amides and 4-hydroxy-benzoic acid, salicylic acid, chloramphenicol, and phenol. Mercuric iodide , not very soluble, so we need the complex formation as an aid to the solubility in the preparation of solution of mercuric iodide (HgI2) by potassium iodide. Hg I2+ KI→K2(HgI4). 3- The Influence of Solvents on the Solubility of Drugs: Frequently a solute is more soluble in a mixture of solvents than in one solvent alone. This phenomenon is known as cosolvency, and the solvents that, in combination, increase the solubility of the solute are called cosolvents. The solubility of undissociated phenobarbital in various solvents. Approximately 1 g of phenobarbital is soluble in 1000 ml of water, in 10 ml of alcohol, in 40 ml of chloroform, and in 15 ml of ether. Solubility increase as increase in percent of glycerin. The solubility of phenobarbital in wateralcohol-glycerin mixtures is plotted on a semilogarithm grid in (Fig. 3). For example, at 22% alcohol, 40% glycerin, and the remainder water (38%), 1.5% w/v of Phenobarbital is dissolved. Phenobarbital (%w/v) Solubility of Phenobarbital in water 0 20 40 60 80 100 Alcohol in solvent (%by volume) Fig. (3): The solubility of Phenobarbital in a mixture of water, alcohol, and glycerin. The vertical axis is a logarithmic scale representing the solubility of Phenobarbital in g/100 ml The Distribution of Solutes Between Immiscible Liquids: Principal: If a substance, which is soluble in both components of a mixture of immiscible liquids, is dissolved in such a mixture then, when equilibrium is attained at constant temp., it is found that the solute is distributed between the two liquids in such a way that the ratio of the activities of the substance in each liquid is a constant. This is known as the Nernst distribution law, which can be expressed by equation: aA/aB = constant (6) where aA and aB are the activities of the solute in solvent A and B, respectively. When the solns are dilute or when the solute behaves ideally, the activities may be replaced by concs (CA and CB) CA/CB = K (7) Where the constant K is known as the distribution or partition coefficient. In the case of sparingly soluble substances, K is approximately equal to the ratio of the solubility (SA and SB) of the solute in each liquid, i.e. SA/SB = K (8) In most systems solns are not ideal, For example, if the solute exists as monomers in solvent A and as dimers in solvent B, the distribution coefficient is given by Eq.(9), in which the square root of the concentration of the dimeric form is used: K= CA/√CB (9) In the dissociation into ions occurs in the aqueous layers B of a mixture of immiscible liquids, then the degree of dissociation (α) should be taken into account as indicated by Eq.(l0) K=CA/CB(1-α) (10) For example, a partition coefficient of 2 for a solute distributed between oil and water may also be expressed as a partition coefficient between water and oils of 0.5. Applications of Distribution Law: 1. Extraction: Extraction of substances from one phase into another is often used in 1- analytical and organic chemistry and in 2- the removal of active principles from crude drugs. It is more efficient to divide the extracting solvent into a number of smaller volumes that are used in successive extraction rather than to use the total amount of solvent in one single process. 2. Partition Chromatography: This is a technique used for the separation of components in a mixture. It depends on the difference in the distribution coefficients of the components between two immiscible liquids or between a liquid and a vapor phase. One liquid is maintained stationary by adsorption on to an inert solid support, (powdered solid or strips of a porous material such as filter paper). If a powder is used, then the separation is carried out in a column packed with the powder and its adsorbed liquid phase. The other liquid or vapor is allowed to pass through the column and, therefore, constitutes a mobile phase. Components of a mixture introduced into the system will become distributed between the mobile and stationary phases in accordance with their partition coefficients, and provided there is a difference between these coefficients, the components will move at different rates along the column and will eventually become separated. 3. Release of Drugs from Certain Dosage Forms: Some common dosage forms such as suppositories and ointments are often formulated in water immiscible bases. The rate of release of medicaments from these dosage forms into aqueous body fluids or secretions will depend on several factors. One of the most important of these is the partition coefficient of the medicament between the base and the body fluid. The effect of partition between water immiscible bases and body fluids is also made use of in the formulation of products intended to provide a prolonged release of drug. 4. Passage of Drugs Through Membranes: The cell membrane is considered to behave as a lipoidal barrier surrounding the cells. One of the main routes of penetration of drugs into cells therefore involves the partition of the substances between these lipoidal layers and the aqueous body fluids with which they are in contact. The partition coefficient of the drug is important for: 1- Release of drug from dosage form. 2- Transport and distribution of drugs throughout the body; e.g. the absorption of drugs from the gastrointestinal tract, 3- Distribution of drugs between various tissues, and 4- Penetration of drugs to the sites where they can exert their pharmacological activity. 5- The uptake of preservatives and other substances by micro-organisms is also influenced by the partition coefficient of the compound between the cells and the surrounding aqueous phase. 5. Preservation of Emulsions and Creams: Emulsions and creams are systems comprised of two immiscible phases, one of which is dispersed as globules throughout the other. Micro-organism usually multiply in the aqueous phase of this type of system, and preservatives must therefore be capable of exerting their activity in this phase. However, most preservatives are usually soluble in both oil and water and will be distributed between these two phases in an emulsion and cream. This distribution will affect the conc of the substance in the aqueous phase and should be taken into account when deciding the overall conc of preservative to be used in these systems. 6. The Formulation of Solubilised System: The use of compounds known as solubilizing agents as a means of increasing the apparent water solubility of organic compounds in the formulation of pharmaceutical preparations. The process is known as solubilization and may be regarded as a partition of the organic compound between the interior of the colloidal aggregates (micelles) formed by the solubilizing agents and the surrounding aqueous phase. The activity of the solubilized compound is related its concentration in the aqueous phase, which depend on their partition coefficient.