SOLUBILITY OF DRUGS Objectives of the Chapter After completion of this chapter, the student should be able to: 1. Understand the various types of pharmaceutical solutions. 2. Define solubility, saturated & unsaturated solutions and polar & non polar solvents. 3. Understand the factors controlling the solubility of strong & weak electrolytes. 4. Define partition coefficient & its importance in pharmaceutical systems. Importance of studying the phenomenon of solubility Understanding the phenomenon of solubility helps the pharmacist to: 1. Select the best solvent for a drug or a mixture of drugs. 2. Overcome solutions. problems arising during preparation of pharmaceutical 3. Many drugs are formulated as solutions, or added as powder or solution forms to liquids. 4. Drugs with low aqueous solubility often present problems related to their formulation and bioavailability. Definitions • Solute: a component which dissolved in the solvent, present in less amount in the solution. • Solvent: a component in which solute is dissolved, present in more amount than solute. • Solution: A system in which solutes are completely dissolved in solvent & form a homogenous molecular dispersion. • Saturated solution: Solution in which the solute in solution is in equilibrium with solid phase. • Unsaturated solution: Solution containing dissolved solute in concentration below that necessary for complete saturation. • Supersaturated solution: Solution containing more of the dissolved solute than it would normally contain. 4 Expression Molarity Symbol M, c Definition Moles (gram molecular weights) of solute in 1 liter Molality m Moles of solute in 1000 gm of solvent. Normality N Gram equivalent weights of solute in 1 liter of solution Mole Fraction x Ration of moles of solute to total moles of solute+ solvent Percentage by % w/w gm of solute in 100 gm of solution %v/v ml of solute in 100 ml of solution % w/v gm of solute in 100 ml of solution Weight Percentage by Volume Percentage Weight in Volume Solubility expressions (1000 ml) of solution. Solubility In a quantitative way: it is the concentration of solute in a saturated solution at a certain temperature. In a qualitative way: it is the spontaneous interaction of two or more substances (solute & solvent) to form a homogeneous molecular dispersion Saturated solution: It is defined as a solution in which the solvent is in equilibrium with the solid phase or solute. Unsaturated solution: Unsaturated solution are those having the dissolved solute in a concentration below that necessary for complete saturation at a definite temperature. Supersturated solution: The solution which contains more of the dissolved solute that it would normally contain at a definite temperature. Degree of saturation Unsaturated, Saturated or Supersaturated? How much solute can be dissolved in a solution? Solubility expressions The USP lists the solubility of drugs as: the number of ml of solvent in which 1g of solute will dissolve. E.g. 1g of boric acid dissolves in 18 mL of water, and in 4 mL of glycerin. Substances whose solubility values are not known are described by the following terms: Term Very soluble Freely soluble Soluble Sparingly soluble Slightly soluble Very slightly soluble Practically insoluble Parts of solvent required for 1 part of solute Less than 1 part 1 to 10 parts 10 to 30 parts 30 to 100 parts 100 to 1000 parts 1000 to 10 000 parts More than 10 000 parts Biopharmaceutics Classification System (BCS) BCS is a scientific framework for classifying Drug substances according to their aqueous solubility and their intestinal permeability. Solubility expressions: BCS High solubility The highest single unit dose is completely soluble in 250 ml or less of aqueous solution at pH 1 -6.8 (37 °C) Xanax (alprazolam) anxiety disorder Thermodynamic solubility of drugs The thermodynamic solubility of a drug in a solvent is the maximum amount of the most stable crystalline form that remains in solution in a given volume of the solvent at a given temperature and pressure under equilibrium conditions. The equilibrium involves a balance of the energy of three interactions against each other: (1) solvent with solvent (2) solute with solute (3) solvent and solute Steps of solid going into solution. 1. Step 1: Hole open in the solvent 2. Step 2: One molecule of the solid breaks away from the bulk 3. Step 3: The solid molecule is enter into the hole in the solvent Solubility process A mechanistic perspective of solubilization process for organic solute in water involves the following steps: 1. Break up of solute-solute intermolecular bonds 2. Break up of solvent-solvent intermolecular bonds 3. Formation of cavity in solvent phase large enough to accommodate solute molecule 4. Transfer of solute into the cavity of solvent phase 5. Formation of solute-solvent intermolecular bonds Enthalpy The enthalpy change of solution refers to the overall amount of heat which is released or absorbed during the dissolving process (at constant pressure). The enthalpy of solution can either be positive (endothermic reaction) or negative (exothermic reaction). The enthalpy of solution is commonly referred to asΔH solution. Three types of interaction in the solution process 1. 2. 3. solvent – solvent interaction solute – solute interaction solvent solute interaction ΔH sol = ΔH 1 + ΔH 2 + ΔH 3 Solvent - Solute Interactions In pre - or early formulation, selection of the most suitable solvent is based on the principle of “like dissolves like” That is, a solute dissolves best in a solvent with similar chemical properties. Or two substances with similar intermolecular forces are likely to be soluble in each others Polar solutes dissolve in polar solvents. E.g salts & sugar dissolve in water . Non polar solutes dissolve in non polar solvents. Eg. naphtalene dissolves in benzene. POLAR SOLUTE - POLAR SOLVENT Ammonia Dissolves in Water: Polar ammonia molecules dissolve in polar water molecules. These molecules mix readily because both types of molecules engage in hydrogen bonding. Since the intermolecular attractions are roughly equal, the molecules can break away from each other and form new solute (NH3), solvent (H2O) hydrogen bonds. Alcohol Dissolves in Water The -OH group on alcohol is polar and mixes with the polar water through the formation of hydrogen bonds. A wide variety of solutions are in this category such as sugarin water, alcohol in water, acetic and hydrochloric acids. Solute-Solvent interactions If the solvent is A & the solute is B, and the forces of attraction are represented by A-A, B-B and A-B, One of the following conditions will occur: 1. If A-A >> A-B The solvent molecules will be attracted to each other & the solute will be excluded. Example: Benzene & water, where benzene molecules are unable to penetrate the closely bound water aggregates. 2. If B-B >> A-A The solvent will not be able to break the binding forces between solute molecules. Example NaCl in benzene, where the NaCl crystal is held by strong electrovalent forces which cannot be broken by benzene. 3. If A-B >> A-A or B-B, or the three forces are equal The solute will . form a solution. Example: NaCl in water. CLASSIFICATION OF SOLVENT & THEIR MECHANISM OF ACTION “LIKE DISSOLVES LIKE” Sr. Nature of Mechanism of solubility Example No Solvent 1. Polar a. High Water+ ethanol dielectric constant b. H- bond formation c. dipole interactions 2. Non-polar weak van der waal’s Fats, oils, forces alkaloidal bases + CCL4, benzene 3. Semi-polar induce certain degree of polarity Acetone increase solubility of ether in water 2 1 Polar solvents The solubility of a drug is due in large measure to the polarity of the solvent, that is, to its dipole moment. Polar solvents dissolve ionic solutes and other polar substances. The ability of the solute to form hydrogen bonds is a far more significant factor than is the polarity as reflected in a high dipole moment Water dissolves phenols, alcohols and other oxygen & nitrogen containing compounds that can form hydrogen bonds with water. Polar solvents The solubility of a substance also depends on structural features such as the ratio of the polar to the nonpolar groups of the molecule. As the length of a nonpolar 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 hydrogenbonded structure of water and hence are only slightly soluble. Polar solvents 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 nonpolar 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. tert-Butanol n-Butanol Hydrogen bonding is the attractive interaction of a hydrogen atom with an electronegative atom, such as nitrogen, oxygen Dipole-dipole forces are electrostatic interactions of permanent dipoles in molecules. Non polar solvents Non-polar solvents are unable to reduce the attraction between the ions of strong and weak electrolytes because of the solvents' low dielectric constants. They are unable to form hydrogen bonds with non electrolytes. Non polar solvents can dissolve non polar solutes through weak van der Waals forces Example: solutions of oils & fats in carbon tetrachloride or benzene. Polyethylene glycol 400 , Castor oil Semi polar solvents Semi polar solvents, such as ketones can induce a certain degree of polarity in non polar solvent molecules. For example, benzene, which is readily polarizable, becomes soluble in alcohol They can act as intermediate solvents to bring about miscibility of polar & non polar liquids. Example: acetone increases solubility of ether in water. Propylene glycol has been shown to increase the mutual solubility of water and peppermint oil and of water and benzyl benzoate Solvation / Dissolution “ Interaction of a solute with the solvent, which leads to stabilization of solute species in the solution” +ve solvation energy= endothermic dissolution -ve solvation energy= exothermic dissolution 2 8 Association “ Chemical reaction in which the opposite electric charge ions come together in solution & form a distinct chemical entity” Classification according to nature of interaction: 1. Contact 2. Solvent shared 3. Solvent separated 2 9 Types of solutions Solutions of pharmaceutical importance include: Gases in liquids Liquids in liquids Solids in liquids Solubility of gases in liquids When the pressure above the solution is released (decreases), the solubility of the gas decreases As the temperature increases the solubility of gases decreases SOLUBILITY OF GASES IN LIQUIDS Henry’s law: ‘Solubility is directly proportional to partial pressure of gas at a constant temperature’. S= KP 32 SOLUBILITY OF LIQUIDS IN LIQUIDS 1. Completely miscible liquids: E.g. Water+ ethanol, Glycerine+ Alcohol, benzene+ CCL4 2. Partially miscible liquids: E.g. Phenol+ water. 3. Completely immiscible liquids: E.g. Mercury+ water. 33 Solubility of liquids in liquids Preparation of pharmaceutical solutions involves mixing of 2 or more liquids Alcohol & water to form hydroalcoholic solutions volatile oils & water to form aromatic waters volatile oils & alcohols to form spirits , elixirs Liquid-liquid systems may be divided into 2 categories: 1. 2. Systems showing complete miscibility such as alcohol & water, glycerin & alcohol, benzene & carbon tetrachloride. Systems showing Partial miscibility as phenol and water; two liquid layers are formed each containing some of the other liquid in the dissolved state. The term miscibility refers to the mutual solubility of the components in liquid liquid system Solubility of liquids inliquids Partial miscibility results when: Cohesive forces of the constituents of a mixture are quite different, e.g. water (A) and hexane (B). A-A » B-B. 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 effect of temperature on the miscibility of two-component liquids is expressed by phase diagrams. In the phase diagrams of two-component liquids, the mixture will have an upper critical solution temperature, a lower critical solution temperature or both. Partial Miscibility Partiallymiscible liquids are influenced by the temperature.The two conjugate phases changed to a homogenous single phase at the critical solution temperature Some liquid pairs (e.g. trimethylamine and water) exhibit a lower consolute temperature, below which the two members are soluble in all proportions and above which two separate layers form. 36 Partial Miscibility Few mixtures (e.g. nicotine and water) show 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 solution temperature (e.g. ethyl ether and water shows partial miscibility over the entire temperature range at which the mixture exists. 37 Raoult’slaw • In ideal solutions partial vapor pressure of each volatile constituent is equal to the vapor pressure of the pure constituent multiplied by its mole fraction in the solution. • Thus, for two constituents A and B • in which ƤA and ƤB are the partial vapor pressures of the constituents over the solution when the mole fraction concentrations are XA and XB respectively Vapor pressurecomposition curve for an ideal solution (binary mixture) Deviation from Raoult’sLaw (Henry's law) • Negative • Positive Positive deviationfrom Raoult’sLaw • When the interaction between A and B molecules is less than that between molecules of the pure constituents (A-A or B-B), the presence of B molecules reduces the interaction of the A-A molecules correspondingly reduce the B- B interaction. • Accordingly, the dissimilarity of polarities or internal pressures of the constituents results in a greater escaping tendency of both the A and the B molecules. The partial vapor pressure of the constituents is greater than that expected from Raoult's law, and the system is said to be positive deviation. • E.g. Benzene + Ethyl Alcohol Negative deviation from Raoult’sLaw • Negative deviation: When the "adhesive" attractions between molecules of different species exceed the "cohesive" attractions between like molecules, the vapor pressure of the solution is less than that expected from Raoult's ideal solution law, and negative deviation occurs • E.g. Chloroform + Acetone Negative deviation from Raoult’sLaw • The vapor pressure-composition relationship of the solute(Chloroform) cannot be expressed by Raoult's law, but instead by an equation known as Henry's law (Chloroform + Acetone) • Ƥsolute = ksolute Xsolute • Henry’s law applies to the solute and Raoult's applies to the solvent in dilute solutions of real liquid pairs Ideal and realsolutions Ideal Solution • Ideal Solution is one in which there is no attraction between solute and solvent molecules. • Ideal solution is one in which there is no change in the properties of the components, other than dilution. • They obey Raoult’s law • • • • Real Solutions In real solutions the "cohesive“ force of attraction between A for A exceeds the "adhesive" force of attraction existing between A and B. Alternatively, the attractive forces between A and B may be greater than those between A and A or B and B. This may occur even though the liquids form solution in all proportions. Such mixtures are real or non-ideal They do not obey Raoult's law IDEAL SOLUTIONS “ Solutions which obey Raoult’s law in all the solute composition in a solvent” 45 REAL/ NON IDEAL SOLUTIONS “Solutions which do not obey Raoult’s law over entire range of composition” Negative deviation PA < Xa P △H < 0 △V < 0 Positive deviation PA > Xa P △H > 0 △V > 0 14 Azeotropic binarymixture • It is the mixture of liquids that has a constant boiling point because the vapour has the same composition as the liquid mixture. • The boiling point of an azeotropic mixture may be higher or lower than that of any of its components. • The components of the solution cannot be separated by simple distillation AZEOTROPES (Constant boiling mixtures) MINIMUM BOILING AZEOTROPES +ve deviation from Raoult’s law MAXIMUM BOILING AZEOTROPES 48 -ve deviation from Raoult’s law FACTORS INFLUENCING SOLUBILITY OF SOLID IN LIQUID 1. Temperature 2. Nature of solvent ( like dissolves like) 3. Pressure 4. pH 5. Particle size 6. Crystal structure 7. Molecular structure 8. Solute- solvent interactions 9. Addition of substituent 10. Common ion effect 11.Solubilizingagent 9 Temperature • Most solids dissolve with absorption of heat and the solubility of such solids increases as the temperature increases, e.g., solubility of NaCl, NaNO3, KNO3 in water increases with temperature. • For solids which dissolve with the evolution of heat, increase in temperature causes a decrease in solubility, e.g., solubility of Ca(OH)2 in water. • Effect of temperature on the solubility of soilds can be represented by the use of ‘solubility curve’. P a rticle siz e • The particle size of the solids also affects its solubility in a given solvent. Generally, a decrease in the particle size causes an increase in the solubility. This is because a decrease in particle size results in increase in surface area and surface free energy which increases solubility. Molecular structure modifications • Slight modification in the molecular structure of solids may lead to marked changes in their solubility in the given solvent. For example, if a weak acid ( CH3COOH →weak electrolyte, poor soluble) is converted into its salt (CH3COONa), its ionic dissociation in water increases markedly leading to an increase in the interaction between the solute and the solvent which ultimately leads to an increase in the solubility. • Solubility can also be decreased esterification. by modifications such as ESTERIFICATION • • Chloramphenicol (antibiotic) ----------------------→ Soluble Chloramphenicol palmitate Poor Soluble • Such a decrease in solubility is sometimes beneficial in pharmaceutical practice since this decrease in solubility helps in taste masking of certain drugs such as chloramphenicol (very bitter) to chloramphenicol palmitate (tasteless). Common ion effect • “The process in which solubility of a weak electrolyte is reduced by the addition of a strong electrolyte which has common ion to that of weak electrolyte”. • Ionization of sodium chloride in water can be represented by equilibrium constant expression as: NaCl (SOLID)↔ Na+ (aq) + Cl -(aq) Kc = [Na+] [Cl-] / [NaCl] HCl ionizes in water as: HCl ↔H+(aq)+ Cl-(aq) •On passing HCl gas through aqueous solution of NaCl , concentration of Cl- ions is increased, therefore some of the NaCl is precipitated out to maintain the constant value of the equilibrium constant. This is called as common ion effect which reduces solubility. Effect of surfactants (solubilising agent): • Solubility of poor soluble drugs may be enhanced by a technique known as micellar solubilisation, which involves the use of surfactants for increasing the solubility. • When a surfactant having a hydro-philic (water loving) and a lipo-philic (or hydrophobic →water hating) portion is added to a liquid, it rearranges itself to from a spherical aggregate known as micelle • In aqueous medium, the surfactant molecule orientate in such a manner that their hydrophilic portion faces the water and the lipophilic portion (hydro- phobic) resides in the micellar interior. An insoluble compound added to the surfactant liquid, enters the micelle interior and gets solubilised. • Similarly, In non- aqueous medium (e.g. oil), the surfactant molecule orientate in such a manner that their hydrophobic portion faces the non-aqueous liquid and the hydrophilic portion resides in the micellar interior. An insoluble compound ( such as water) added to the surfactant liquid, enters the micelle interior and gets solubilised. SOLUBILITIES AND DISTRIBUTION LAW When a solute is shaken with two non-miscible solvents, at equilibrium both the solvents are saturated with the solute. Since the solubility also represents concentration, we can write the distribution law as C1/C2 = S1/S2 = KD where S1 and S2 are the solubilities of the solute in the two solvents. Hence knowing the value of the Distribution coefficient (KD) and the solubility of solute in one of the solvents, the solubility of solute in the second solvent can be calculated. APPLICATION OF DISTRIBUTION LAW There are numerous applications of distribution law in the laboratory as well as in industry (1) Solvent ExtractionThis is the process used for the separation of organic substances from aqueous solutions. The aqueous solution is shaken with an immiscible organic solvent such as ether (or benzene) in a separatory funnel. The distribution ratio being in favour of ether, most of the organic substance passes into the ethereal layer. The ethereal layer is separated and ether distilled off. Organic substance is left behind. 2) Partition Chromatography A paste of the mixture is applied at the top of a column of silica soaked in water. Another immiscible solvent ( hexane) is allowed to flow down the column. Each component of the mixture is partitioned between the stationary liquid phase (water) and the mobile liquid phase (hexane). The various components of the mixture are extracted by hexane in order of their distribution coefficients. (3) Desilverization of Lead (Parke’s Process) When molten zinc is added to molten lead containing silver (argentiferous lead), zinc and lead form immiscible layers and silver is distributed between them. Since the distribution ratio is about 300 in favour of zinc at 800º C, most of silver passes into the zinc layer. On cooling the zinc layer, an alloy of silver and zinc separates. The Ag-Zn alloy is distilled in a retort when zinc passes over leaving silver behind. The lead layer still contains unextracted silver. This is treated with fresh quantities of molten zinc to recover most of the silver (4) Confirmatory Test for Bromide and Iodide The salt solution is treated with chlorine water. Small quantity of bromine or iodine is thus liberated. The solution is then shaken with chloroform. On standing chloroform forms the lower layer. The free bromine or iodine being more soluble in chloroform concentrates into the lower layer, making it red for bromine and violet for iodine. 5)Determination of Association When a substance is associated (or polymerized) in solvent A and exists as simple molecules in solvent B, the Distribution law is modified as n√Ca/Cb = k when n is the number of molecules which combine to form an associated molecule. (6) Determination of Dissociation Suppose a substance X is dissociated in aqueous layer and exists as single molecules in ether. If x is the degree of dissociation (or ionisation), the distribution law is modified as C1 /C2 )(1-x) = K where C1 = concentration of X in benzene C2 = concentration of X in aqueous layer The value of x can be determined from conductivity measurements, while C1 and C2 are found experimentally. Thus the value of K can be calculated. Using this value of K, the value of x for any other concentrations of X can be determined. (7) Determination of Solubility Suppose the solubility of iodine in benzene is to be determined. Iodine is shaken with water and benzene. At equilibrium concentrations of iodine in benzene (Cb) and water (Cw) are found experimentally and the value of distribution coefficient calculated. Cb / Cw = Kd Sb/ Sw = Kd where Sb = solubility in benzene; and Sw = solubility in water. THANK YOU….. 72