Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 POINTERS TO REVIEW Based on PRC Board Resolution no 10 series of 2013 MODULE 5 BLUEPRINT (17.5%) PharmacistLicensure Licensure Examination Pharmacist Examination PHYSICAL PHARMACY PHYSICAL PHARMACY Daryl E. Magno, RPh University of the Philippines-Manila College of Pharmacy PH ARMACEUTICS Pharmaceutical Manufacturing NO. OF ITEMS NO. OF EASY ITEMS NO. OF MOD ERATE ITEMS NO. OF D IFFICULT ITEMS 29 12 12 5 Dos age Forms 29 12 12 5 Phys ical Pharmacy 25 10 10 5 17 6 6 5 Pharmaceutical Juris prudence and Ethics POINTERS TO REVIEW Based on PRC Board Resolution no 10 series of 2013 MODULE 5 BLUEPRINT (17.5%) PH ARMACEUTICS NO. OF ITEMS Pharmaceutical Manufacturing NO. OF EASY 25 ITEMS 10 TOPICS NO. OF MOD ERATE ITEMS NO. OF D IFFICULT ITEMS 10 5 INTRODUCTION NO. OF ITEMS Phys ical Pharmacy Principle Solubility and Dis tribution Phenomena, Buffer and Is otonic Solutions , Interfacial Phenomena, Micrometics Colloids , Coars e Dis pers ion, Rheology, Complexation and Protein Binding, Kinetics 3 3 (each) 2 (each) WHAT IS PHYSICAL PHARMACY? - Physical pharmacy integrates knowledge of mathematics, physics and chemistry and applies them to the pharmaceutical dosage form development - Physical pharmacy is the study of the physical and chemical properties of drugs and their dosage forms - Physical pharmacy is the application of physical chemical principles to various aspects of pharmacy Lecturer: Daryl E. Magno, RPh DEFINITION OF TERMS Atom - Atoms are the smallest particle into which an element can be divided - Basic unit of an element Molecule - One or more atoms joined together by chemical bonds - Smallest unit of a compound that has the physical and chemical properties of that compound 1 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 DEFINITION OF TERMS O C DEFINITION OF TERMS H H ATOM of CARBON MOLECULE of WATER Electron - A particle which has a negative charge Proton - A particle which has a positive charge Neutron - A particle with no charge Nucleus - At the center of the atom containing both protons and neutrons DEFINITION OF TERMS DEFINITION OF TERMS Nucleon - Collective term for protons and neutrons Isotopes - Atoms of the same element with the same number of protons, but differing numbers of neutrons Atomic Number Example: - Number of protons Mass Number - Number of protons and neutrons ISOTOPE Protium - Nucleon number Orbital - A region within the atom in which electrons have the highest probability of being found FORMULA ATOMIC NUMBER MASS NUMBER NUMBER OF NEUTRONS 1 1H 1 1 0 Deuterium 2 1H (D) 1 2 1 Tritium 3 1H (T) 1 3 2 DEFINITION OF TERMS DEFINITION OF TERMS Isotones - Atoms belonging to different elements having the same number of neutrons Isobars - Atoms belonging to different elements with the same mass numbers but different atomic numbers Example: Carbon and Nitrogen have the same number of neutrons (7) Example: Calcium and Argon both have the same mass numbers (40) 13 6C and 7N14 Lecturer: Daryl E. Magno, RPh 20Ca 40 40 18Ar 2 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 CHECKPOINT 1. Study of the physi cal and chemi cal propertie s of drugs and their dosage forms. a. Pharmacokinetics b. Pharmacotherapeutics c. Pharmaceutical Dosage Forms d. Physical Pharmacy 2. One or more at oms j oined t ogether by che mica l bonds. a. Atom b. Molecule c. Both A and B d. None of the above 5. Number of protons a. Atomic Number b. Mass Number c. Molecular Weight d. Atomic Weight Lecturer: Daryl E. Magno, RPh 3. Example of an atom. a. Carbon Dioxide b. Nitric Acid c. Sulfur d. All of the above 4. Atoms of the same element with the same number of protons, but differing numbers of neutrons a. Isotopes b. Isotones c. Isobars d. None of the above FORCES OF ATTRACTION PHYSICAL PROPERTIES TYPES OF PROPERTIES 3 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 FORCES OF ATTRACTION INTRAMOLECULAR FORCES FORCES OF ATTRACTION § Forces that hold atoms together within a molecule INTERMOLECULAR FORCES § Forces that exist between molecules FORCES OF ATTRACTION INTRAMOLECULAR FORCES 1. Ionic bond 2. Covalent bond 3. Metallic bond INTERMOLECULAR FORCES *Photo grabbed from www.khanacademy.org 1. Dipole-dipole 2. London forces 3. Hydrogen bond FORCES OF ATTRACTION FORCES OF ATTRACTION INTRAMOLECULAR FORCES INTRAMOLECULAR FORCES 1. Ionic bond § Electrostatic attraction between ions that have opposite charges § Between metals and nonmetals § Complete transfer of valence electron(s) between atoms 2. Covalent bond § Bond is formed between atoms that have similar electronegativities—the affinity or desire for electrons § Sharing of electrons in order to achieve octet configuration § 2 types of Covalent bond: i). Nonpolar ii) Polar Lecturer: Daryl E. Magno, RPh 4 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 FORCES OF ATTRACTION FORCES OF ATTRACTION INTRAMOLECULAR FORCES INTRAMOLECULAR FORCES 2. Covalent bond § Nonpolar- the difference in electronegativity between bonded atoms is less than 0.5 2. Covalent bond § Polar- the difference in electronegativity between bonded atoms is between 0.5 and 1.9 FORCES OF ATTRACTION FORCES OF ATTRACTION INTRAMOLECULAR FORCES INTERMOLECULAR FORCES 3. Metallic bond § Bond exists only in metals § Valence electrons are free to move through the lattice § The electrons act as a "glue" giving the substance a definite structure 1. Van der Waals Forces § Weakest of the intermolecular forces and exist between all types of molecules TYPE DESCRIPTION OTHER TERM KEESOM Dipole-dipole Orientation forces DEBYE Dipole-induced dipole Induced dipoleinduced dipole Induction forces LONDON Dispersion forces FORCES OF ATTRACTION FORCES OF ATTRACTION INTRAMOLECULAR FORCES INTRAMOLECULAR FORCES A. Keesom B. Debye Lecturer: Daryl E. Magno, RPh 5 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 FORCES OF ATTRACTION FORCES OF ATTRACTION INTRAMOLECULAR FORCES INTRAMOLECULAR FORCES C. London Forces 2. Hydrogen bonding § Special kind of dipole-dipole interaction that occurs specifically between a hydrogen atom bonded to either an oxygen, nitrogen, or fluorine atom FORCES OF ATTRACTION FORCES OF ATTRACTION INTRAMOLECULAR FORCES INTRAMOLECULAR FORCES 3. Ion-dipole § Electrostatic attraction between an ion and a neutral molecule that has a dipole 4. Ion-induced dipole § Ion induces a dipole in an atom or a molecule with no dipole PHYSICAL PROPERTIES 1. Additive Property § Depends on the sum of the individual properties of the components present in a system PHYSICAL PROPERTIES § Ex. Molecular weight 2. Constitutive Property § § Depends on the type and arrangement of the components present in a system Ex. Optical activity 3. Colligative Property § Depends on the number of components present in a system § Lecturer: Daryl E. Magno, RPh Ex. Boiling point elevation 6 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 TYPES OF PROPERTIES § Extensive Property - Depends on the size or the amount of material - Ex. mass, length, volume TYPES OF PROPERTIES § Intensive Property - Does not depend on the size or amount of material - Ratio of two extensive properties - Ex. Density, specific gravity Density Density § Measure of mass per unit of volume § unit: g/mL § Two types: § Two types: 1. Bulk Density 2. Tapped Density 1. Bulk Density ØMeasure of interparticulate interactions ØIndex of the ability of the powder to flow ØDetermined by measuring the volume of a known mass of powder sample that has been passed through a • Graduated cylinder (Method I) • Volumeter (Method II) Density § Two types: 2. Tapped Density Ø achieved by mechanically tapping a measuring cylinder containing a powder sample Density § Measure of mass per unit of volume § unit: g/mL Ø Methods: – Method I – mechanical tapped density tester (fixed drop: 14 ± 2 mm; nominal rate: 300 drops/min) – Method II – mechanical tapped density tester (fixed drop: 3mm (±10%); nominal rate: 250 drops/min Lecturer: Daryl E. Magno, RPh 7 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 What is the density of a 85 mL liquid if its weight is 38 g? A. 0.56 g/mL B. 0.53 g/mL C. 0.45 g/mL D. 0.41 g/mL What is the weight of 60 mL of oil whose density is 0.9645 g/mL? A. 56.0 B. .5600 C. 57.87 D. 54.88 CORRECT ANSWER: C CORRECT ANSWER: C What is the density of a 3.5 L liquid if its weight is 90 g? A. 0.56 g/mL B. 0.056 g/mL C. 0.026 g/mL D. 0.063 g/mL Density § Two types: § Bulk density- ratio of the mass of an untapped powder sample and its volume § Tapped density- increased bulk density attained after mechanically tapping a container containing the powder sample CORRECT ANSWER: C Specific gravity Methods of Determining Specific Gravity § Dimensionless unit § Ratio of the density of a substance to the density of water at a specified temperature 1. Measurement by Pycnometer 2. Measurement by Sprengel-Ostwald Pycnometer 3. Measurement by Hydrometer 4. Measurement by Oscillator-Type Density Meter Lecturer: Daryl E. Magno, RPh 8 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 Calculating Specific Gravity Calculating Specific Gravity by Weight 1. Calculating Specific Gravity by Weight 2. Calculating Specific Gravity by Density 1. Obtain the weight of the liquid in question 2. Obtain the weight of an identical volume of water 3. Calculate the ratio of the liquid’s weight to the weight of water Calculating Specific Gravity by Weight Calculating Specific Gravity by Weight 1. Obtain the weight of the liquid in question 2. Obtain the weight of an identical volume of water 1. Obtain the weight of the liquid in question 2. Obtain the weight of an identical volume of water 3. Calculate the ratio of the liquid’s weight to the weight of water 3. Calculate the ratio of the liquid’s weight to the weight of water Exa mple : If you weighed 10 0 mL of a cetone at 25 degrees C, it w oul d weig h 0 .17 314 pounds. W eighi ng the sa me volume of water at the sa me te mperatur e give you 0.22 pounds . What is the spe ci fic gravity of acetone? Exa mple : If you weighed 10 0 mL of a cetone at 25 degrees C, it w oul d weig h 0 .17 314 pounds. W eighi ng the sa me volume of water at the sa me te mperatur e give you 0.22 pounds . What is the spe ci fic gravity of acetone? Answer: 0.17314/0.22 = 0.787 Calculating Specific Gravity by Density Calculating Specific Gravity by Density 1. Obtain the density of the liquid in question 2. Obtain the density of an identical volume of water 1. Obtain the density of the liquid in question 2. Obtain the density of an identical volume of water 3. Calculate the ratio of the liquid’s density to the density of water 3. Calculate the ratio of the liquid’s density to the density of water Exa mple : I f you had a sa mple that was eight gra ms and nine milliliters, what its specific gravity? Lecturer: Daryl E. Magno, RPh 9 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 Calculating Specific Gravity by Density 1. Obtain the density of the liquid in question 2. Obtain the density of an identical volume of water 3. Calculate the ratio of the liquid’s density to the density of water Exa mple : I f you had a sa mple that was eight gra ms and nine milliliters, what its specific gravity? Answer: 8g/9mL = 0.89g/mL 0.89g/mL ÷ 1g/mL = 0.89g/mL 1. Weakest type of intermolecular force of attraction. a. London b. Debye c. Keesom d. None of the above 2. Sharing of ele ctrons in order to a chieve octe t configuration. a. Ionic Bond b. Covalent Bond c. Metallic Bond d. All of the above 5. What is the weight of 0.05 L of oil whose density is 0.8465 g/mL? a. 42.325 b. 0.042 c. 4.233 d. 423.25 Lecturer: Daryl E. Magno, RPh CHECKPOINT 3. Example of property where it depends on the sum of the individual properties of the components present in the system. a. Additive b. Constitutive c. Colligative d. All of the above 4. Ratio of untapped powder sample and its volume a. Bulk Density b. Tapped Density c. Both d. None STATES OF MATTER 10 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 STATES OF MATTER STATES OF MATTER 1. Solid 3. Gas § § Fixed volume and shape Rigid (particles locked into place) § § Assumes the shape and volume of its container Particles can move past one another § Not easily compressible § Compressible § Does not flow easily § Flows easily 2. Liquid § Assumes the shape of the container which it occupies § Particles can move/slide past one another 4. Plasma § Hot ionized gas consisting of positively and negatively charged electrons § Not easily compressible § Flows easily STATES OF MATTER STATES OF MATTER Property Solid Liquid Gas Shape Definite Variable Variable Volume Definite Definite Variable IFA Strength Strong Strong Weak Vibration Gliding Constant Random Motion Particle Arrangement Closely packed, Fixed position Fairly closely packed, not fixed positions Widely spaced, moved independently Particle Arrangement Closely packed, Fixed position Fairly closely packed, not fixed positions Widely spaced, moved independently Molecular Motion STATES OF MATTER STATES OF MATTER 5. Bose-Einstein Condensate Liquid Crystal § Forms within a few degrees of absolute zero § Mesophase § Formation of “SUPER ATOM” § Intermediate phase § Blends the structures and properties of the liquid and solid states § ROPE (Rigid, Organic, Polarizable, Elongated) § Thermotropic VS Lyotropic Crystals? Lecturer: Daryl E. Magno, RPh 11 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 STATES OF MATTER STATES OF MATTER Types of Liquid Crystals Type 1: Smectic Types of Liquid Crystals Type 2: Nematic § Soap-like § Thread-like § Molecules tend to line themselves up into layers § Simplest form of liquid crystal § More restricted movement than nematic § Crystal molecules have no orderly position and are free to move STATES OF MATTER Types of Liquid Crystals Type 3: Cholesteric § Chiral nematic § Molecules being aligned and at a slight angle to one another GASES GASES GAS LAWS Kinetic Molecular Theory of Gases Boyle’s Law § Mariotte Law 1. Gases are composed of a large number of particles that behave like hard, spherical objects in a state of constant, random motion. 2. These particles are much smaller than the distance between particles. Most of the volume of a gas is therefore empty space. 3. There is no force of attraction between gas particles or between the particles and the walls of the container. § States that “At constant temperature, the pressure P of a gas varies inversely with its volume V” P1V1= P2V2 4. Collisions between gas particles or collisions with the walls of the container are perfectly elastic. Lecturer: Daryl E. Magno, RPh 12 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 BOYLE’S GAS LAWS BOYLE’S GAS LAWS Sample Problem: Sample Problem: Calculate the press ure in at mosphere s in an engi ne at the e nd of the compres sion stroke. As sume t hat at the start of the stroke, the pre ssur e of the mixt ure of gasoline and air i n the cyli nder i s 7 45. 8 mm Hg and the volume of ea ch cylinder is 246. 8 mL. Ass ume that the volume of the cylinder is 24 .2 mL at the end of the compression stroke. Calculate the press ure in at mosphere s in an engi ne at the e nd of the compres sion stroke. As sume t hat at the start of the stroke, the pre ssur e of the mixt ure of gasoline and air i n the cyli nder i s 7 45. 8 mm Hg and the volume of ea ch cylinder is 246. 8 mL. Ass ume that the volume of the cylinder is 24 .2 mL at the end of the compression stroke. Answer: 10 atm BOYLE’S GAS LAWS BOYLE’S GAS LAWS Sample Problem: Sample Problem: A gas tank holds 27 85 L of pr opa ne, C3H8, at 83 0 mmHg. W hat is the volume of t he propane at sta ndar d pressure? A gas tank holds 27 85 L of pr opa ne, C3H8, at 83 0 mmHg. W hat is the volume of t he propane at sta ndar d pressure? Answer: 3042 L GAS LAWS Charles’ Law § States that, “At constant pressure, the volume V of a gas is directly proportional to its absolute (Kelvin) temperature T” V1/T1= V2/T2 Lecturer: Daryl E. Magno, RPh CHARLES’ GAS LAWS Sample Problem: Assume t hat the volume of a ball oon filled wit h H2 i s 1.00 L at 2 5 degree s C. Cal culate t he v olume of the balloon whe n it is coole d to -78 degree s C in a lowtemperature bath made by adding dry ice to acetone. 13 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 CHARLES’ GAS LAWS CHARLES’ GAS LAWS Sample Problem: Sample Problem: Assume t hat the volume of a ball oon filled wit h H2 i s 1.00 L at 2 5 degree s C. Cal culate t he v olume of the balloon whe n it is coole d to -78 degree s C in a lowtemperature bath made by adding dry ice to acetone. A sample of oxyge n occupies a v olume of 160 dm3 at 91° C. W hat will be v olume of oxygen w he n the temperature drops to 0.00° C? Answer: 0.65 L CHARLES’ GAS LAWS CHARLES’ GAS LAWS Sample Problem: Sample Problem: A sample of oxyge n occupies a v olume of 160 dm3 at 91° C. W hat will be v olume of oxygen w he n the temperature drops to 0.00° C? A sample of oxyge n occupies a v olume of 160 dm3 at 91° C. W hat will be v olume of oxygen w he n the temperature drops to 0.00° C? How about in liters? Answer: 120 dm 3 CHARLES’ GAS LAWS Sample Problem: A sample of oxyge n occupies a v olume of 160 dm3 at 91° C. W hat will be v olume of oxygen w he n the temperature drops to 0.00° C? How about in liters? GAS LAWS Gay-Lussac’s Law § States that, “At constant volume, the pressure P of a gas is directly proportional to its absolute (Kelvin) temperature T” P1/T1= P2/T2 Answer: 120 L Lecturer: Daryl E. Magno, RPh 14 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 GAY-LUSSAC’S GAS LAWS GAY-LUSSAC’S GAS LAWS Sample Problem: Sample Problem: A gas has a pressure of 69 9.0 mm Hg at 40.0 °C. W hat is the temperature at a pressure of 760.0 mm Hg? A gas has a pressure of 69 9.0 mm Hg at 40.0 °C. W hat is the temperature at a pressure of 760.0 mm Hg? Answer: 340.3 Kelvin GAY-LUSSAC’S GAS LAWS GAY-LUSSAC’S GAS LAWS Sample Problem: Sample Problem: If a gas at 740 mm Hg and 70. 0 ºC has its pre ssur e lowered to 72 0 mm Hg, what will its temperature be if volume remains constant? If a gas at 740 mm Hg and 70. 0 ºC has its pre ssur e lowered to 72 0 mm Hg, what will its temperature be if volume remains constant? Answer: 334K GAS LAWS GAS LAWS Avogadro’s Law § States that, “Volume of a gas is directly proportional to the amount of gas at a constant temperature and pressure.” Amontons’ Law § States that, “Given a constant number of mole of a gas and an unchanged volume, pressure is directly proportional to temperature.” Lecturer: Daryl E. Magno, RPh 15 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 GAS LAWS COMBINED GAS LAWS Combined Gas Law § Combination of Boyle's Law, Charles' Law and GayLussac’s Law Sample Problem: COMBINED GAS LAWS COMBINED GAS LAWS Sample Problem: Sample Problem: A sample of sulfur dioxide occupies a volume of 652 mL at 40.° C and 720 mm Hg. What volume will the sulfur dioxide occupy at STP? The initial temperature of a 1.00 liter sample of argon is 20.° C. The pressure is decreased from 720 mm Hg to 360 mm Hg and the volume increases to 2.14 liters. What was the change in temperature of the argon? Answer: 538.75mL A sample of sulfur dioxide occupies a volume of 652 mL at 40.° C and 720 mm Hg. What volume will the sulfur dioxide occupy at STP? COMBINED GAS LAWS GAS LAWS Sample Problem: Ideal Gas Law § Combination of Boyle's Law, Charles' Law, Amontons’ Law and Avogadro's Law The initial temperature of a 1.00 liter sample of argon is 20.° C. The pressure is decreased from 720 mm Hg to 360 mm Hg and the volume increases to 2.14 liters. What was the change in temperature of the argon? PV=nRT Answer: 313.51 K Lecturer: Daryl E. Magno, RPh 16 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) GAS LAWS Ideal Gas Law § Combination of Boyle's Law, Charles' Law, Amontons’ Law and Avogadro's Law § n is number of moles (mass/molecular weight) § R is the gas constant - 1/25/18 IDEAL GAS LAWS Sample Problem: How many mol ecules are t here i n 98 5 mL of nitroge n at 0.0° C and 1.00 x 10-6 mm Hg? R = 0.0821 liter·atm/mol·K R = 8.3145 J/mol·K R = 8.2057 m3·atm/mol·K R = 62.3637 L·Torr/mol·K or L·mmHg/mol·K IDEAL GAS LAWS IDEAL GAS LAWS Sample Problem: Sample Problem: Calculate the mass of 15.0 L of NH3 (MW = 17.04 g/mol) at 27° C and 900 mm Hg. How many mol ecules are t here i n 98 5 mL of nitroge n at 0.0° C and 1.00 x 10-6 mm Hg? Answer: 3.48 X 1013 N2 molecules IDEAL GAS LAWS GAS LAWS Sample Problem: Sample Problem: Calculate the density in g/L of 478 mL of krypton (MW=83.798 g/mol) at 47° C and 671 mm Hg. Calculate the mas s of 15. 0 L of NH3 (MW = 1 7.0 4 g/mol) at 27° C and 900 mm Hg. Answer: 12.3 g Lecturer: Daryl E. Magno, RPh 17 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 GAS LAWS GAS LAWS Sample Problem: Real Gas Equation 2 Factors: Calculate the de nsity in g /L of 47 8 mL of krypton (MW=83.798 g/mol) at 47° C and 671 mm Hg. Answer: 2.82 g/L § As pressure increases, the volume of a gas becomes very small and approaches zero. While it does approach a small number, it will not be zero because molecules do occupy space (i.e. have volume) and cannot be compressed (INCOMPRESSIBI LIT Y ) § Intermolecular forces do exist in gases (INTERMOLECULAR FORCES) GAS LAWS GAS LAWS Real Gas Equation (Van der Waals Equation) Henry’s Law of Gas Solubility § States that “At a constant temperature, the amount of a gas that dissolves in a liquid is directly proportional to the partial pressure of that gas in equilibrium with that liquid” an2/v2: accounts for the internal pressure per mole resulting from the intermolecular forces of attraction between the molecules nb: accounts for the incompressibility of the molecules GAS LAWS DALTON’S LAW OF PARTIAL PRESSURE Dalton’s Law of Partial Pressure § States that “The total pressure in a mixture of gases is equal to the sum of the partial pressure of each gas” Sample Problem: Let's say that we have one container with 24.0 L of nitrogen gas at 2.00 atm, and another container with 12.0 L of oxygen gas at 2.00 atm. The temperature of both gases is 273 K. PTOTAL= PA + PB… Lecturer: Daryl E. Magno, RPh If both gases are mixed in a 10L container, what are the partial pressures of nitrogen and oxygen in the resulting mixture? What is the total pressure? 18 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 DALTON’S LAW OF PARTIAL PRESSURE GAS LAWS Sample Problem: Graham’s Law § States that “The rate of effusion of a gaseous substance is inversely proportional to the square root of its molar mass.” § Empirical relationship stating that the ratio of the rates of diffusion or effusion of two gases is the square root of the inverse ratio of their molar masses Let's say that we have one container with 24.0 L of nitrogen gas at 2.00 atm, and another container with 12.0 L of oxygen gas at 2.00 atm. The temperature of both gases is 273 K. If both gases are mixed in a 10L container, what are the partial pressures of nitrogen and oxygen in the resulting mixture? What is the total pressure? Partial pressure of Nitrogen is 4.79 atm Partial pressure of oxygen is 2.40 atm Total Pressure is 7.19 atm 1. Description of solid except a. Fixed volume b. Fixed Shame c. Flow Easily d. Rigid CHECKPOINT 3. Third type of liquid crystals a. Smectic b. Nematic c. Cholesteric d. A and B 2. Formation of condensate a. Plasma b. Liquid Crystals c. Bose-Einstein Condensate d. Any of the above 5. Factor(s) affecting real gas equation a. Incompressibility b. Intermolecular forces c. Both d. None 4. States that “At constant temperature, the pressure P of a gas varies inversely with its volume V a. Gay Lussac’s Law b. Henry’s Law c. Graham’s Law d. Mariotte Law Lecturer: Daryl E. Magno, RPh 19 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS § Less kinetic energy than do gases § Occupy a definite volume § Take the shape of container LIQUIDS § Denser than gases § Not compressible LIQUIDS LIQUIDS Vapor Pressure § Pressure of the saturated vapor above a liquid resulting from the escape of surface liquid molecules § A measure of the tendency of molecules to escape from a liquid Vapor Pressure § Clausius-Clapeyr on Equation LIQUIDS LIQUIDS Clausius-Clapeyr on Equation Clausius-Clapeyr on Equation Sample Problem: Sample Problem: A certain liquid has a vapor pressure of 6.91 mmHg at 0 °C. If this liquid has a normal boiling point of 105 °C, what is the liquid's heat of vaporization in kJ/mol? Given R = 8.31147 J/mol K A certain liquid has a vapor pressure of 6.91 mmHg at 0 °C. If this liquid has a normal boiling point of 105 °C, what is the liquid's heat of vaporization in kJ/mol? - shows the relationship between the vapor pressure of a liquid and the temperature Answer: 38445 J/mol or 38.4 kJ/mol Lecturer: Daryl E. Magno, RPh 20 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Clausius-Clapeyr on Equation Clausius-Clapeyr on Equation Sample Problem: Sample Problem: Determine the vapor pressure of water at 150°C. The vapor pressure of water at 110 °C is 1.5atm and molar heat of vaporization of 9500 cal/mole. Given R = 1.986cal/mol K Determine the vapor pressure of water at 150°C. The vapor pressure of water at 110 °C is 1.5atm and molar heat of vaporization of 9500 cal/mole. Given R = 1.986cal/mol K Answer: 4.88 atm LIQUIDS LIQUIDS Dispersed Systems § Systems in which one substance (dispersed phase) is distributed, in discrete units, throughout a second substance (continuous phase or vehicle) Dispersed Systems 1. True Solutions § § § A solution is a homogenous mixture (one phase) composed of two or more substances A solute is dissolved in another substance, known as a solvent Particle size is < 1 nm LIQUIDS LIQUIDS Dispersed Systems 2. Colloidal Dispersions Dispersed Systems 3. Coarse Dispersions § § A system having a particle size intermediate between that of a true solution and a coarse dispersion Particle size is 1 nm-0.5 um Lecturer: Daryl E. Magno, RPh § Size of particle is larger than that of colloids § § Particle size is > 0.5 um Suspensions and emulsions 21 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 SOLUTIONS Solute and Solvent Electolyte Solute SOLUTIONS LIQUIDS Nonelectrolyte • Yields ions • Does not yield ions • Conduct electricity • Does not conduct • NaCl, HCl, CaCl 2 , electricity CH3 COOH • Sucrose Solvent: phase of the solution and the largest portion of the solution LIQUIDS True Solutions SOLUBILITY TERM PARTS OF SOLVENT REQUIRED TO DISSOLVE ONE PART OF SOLUTE Very Soluble Less than 1 Freely Soluble 1-10 Soluble 10-30 Sparingly Soluble 30-100 Slightly Soluble 100-1000 Very slightly Soluble 1000-10000 Practically Insoluble Greater than 10000 Factors that Affect Solubility § Temperature - Endothermic reactions - Absorb heat - Increase temperature, increase solubility - Exothermic reactions - Release heat - Decrease temperature, increase solubility LIQUIDS Factors that Affect Solubility § pH - Critical pH for weak acid and weak base § Presence of Salts - Salting in (addition of salt, increased solubility) - Salting out (addition of salt, decreased solubility) § Nature of solute and solvent § Particle size COLLIGATIVE PROPERTY OF SOLUTIONS § Pressure (for gases) Lecturer: Daryl E. Magno, RPh 22 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Colligative Properties of Solutions 1. Vapor Pressure Lowering Colligative Properties of Solutions 1. Vapor Pressure Lowering § § When a nonvolatile solute is added to a volatile solvent, the solute decreases the escaping tendency of the solvent The vapor pressure of the solution is lowered proportional to the relative number of solute molecules Psolvent = X solventPosolvent Sample Problem #1: What is the vapor pressure of an aqueous solution that has a solute mole fraction of 0.1000? The vapor pressure of water is 25.756 mmHg at 25 °C. Psolvent = X solventPosolvent LIQUIDS LIQUIDS Colligative Properties of Solutions 1. Vapor Pressure Lowering Colligative Properties of Solutions 1. Vapor Pressure Lowering Sample Problem #1: What is the vapor pressure of an aqueous solution that has a solute mole fraction of 0.1000? The vapor pressure of water is 25.756 mmHg at 25 °C. Sample Problem #2: Calculate the vapor pressure of a solution made by dissolving 50.0 g glucose, C6H12O6 (MW= 180g/mol), in 500 g of water. The vapor pressure of pure water is 47.1 torr at 37°C. Answer: 23.18 mmHg Psolvent = X solventPosolvent LIQUIDS LIQUIDS Colligative Properties of Solutions 1. Vapor Pressure Lowering Colligative Properties of Solutions 1. Vapor Pressure Lowering Sample Problem #2: Calculate the vapor pressure of a solution made by dissolving 50.0 g glucose, C6H12O6 (MW= 180g/mol), in 500 g of water. The vapor pressure of pure water is 47.1 torr at 37°C. Sample Problem #3: Calculate the vapor pressure of a solution made by dissolving 50.0 g CaCl2 (MW= 111g/mol) in 500 g of water. The vapor pressure of pure water is 47.1 torr at 37°C. Answer: 46.63 torr Lecturer: Daryl E. Magno, RPh Psolvent = X solventPosolvent 23 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Colligative Properties of Solutions 1. Vapor Pressure Lowering Colligative Properties of Solutions 2. Boiling Point Elevation Sample Problem #3: Calculate the vapor pressure of a solution made by dissolving 50.0 g CaCl2 in 500 g of water. The vapor pressure of pure water is 47.1 torr at 37°C. § BP is the temperature at which the vapor pressure of the liquid becomes equal to the external atmospheric pressure (1 atm or 760 mmHg) § The BP of the solution containing a nonvolatile solute would be higher than the pure solvent ΔT = i K b m Answer: 46.35 torr LIQUIDS LIQUIDS Colligative Properties of Solutions 2. Boiling Point Elevation Van’t Hoff Factor Complete Dissociation ΔT = i K b m § Ebullioscopic constant (Kb) is the molal boiling point elevation constant and its unit is degrees Celsius per molal (°C/molal) § Van’t Hoff factor (i) is the number of particles after dissociation § m is the molal concentration Substance Van’t Hoff Factor Non-electrolytes 1 NaCl 2 MgCl2 3 LIQUIDS LIQUIDS Van’t Hoff Factor Incomplete Dissociation Colligative Properties of Solutions 2. Boiling Point Elevation ΔT = i K b m Sample Problem: What is the molecular mass of an organic compound if 16.00 g of the compound is dissolved in 225.0 g of carbon tetrachloride raises the boiling point to 85.36 °C? Given: BP and Kb of CCl4 is 76.72°C and 5.03°C kg/mol respectively Lecturer: Daryl E. Magno, RPh 24 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Colligative Properties of Solutions 2. Boiling Point Elevation Colligative Properties of Solutions 3. Freezing Point Depression ΔT = i K b m Sample Problem: What is the molecular mass of an organic compound if 16.00 g of the compound is dissolved in 225.0 g of carbon tetrachloride raises the boiling point to 85.36 °C? Given: BP and Kb of CCl4 is 76.72°C and 5.03°C kg/mol § § FP is the temperature at which a liquid turns into a solid when cooled The FP of the solution containing a nonvolatile solute would be lower than the pure solvent ΔT = i K f m Answer: 41.4 g/mol LIQUIDS LIQUIDS Colligative Properties of Solutions 3. Freezing Point Depression Colligative Properties of Solutions 3. Freezing Point Depression ΔT = i K f m § Cryoscopic constant (Kf) is the molal freezing point depression constant and its unit is degrees Celsius per molal (°C/molal) § Van’t Hoff factor (i) is the number of particles after dissociation § m is the molal concentration ΔT = i Kf m Sample Problem #1: When 20.0 grams of an unknown nonelectrolyte compound are dissolved in 500.0 grams of benzene, the freezing point of the resulting solution is 3.77 °C. The freezing point of pure benzene is 5.444 °C and the Kf for benzene is 5.12 °C/m. What is the molar mass of the unknown compound? LIQUIDS LIQUIDS Colligative Properties of Solutions 3. Freezing Point Depression Colligative Properties of Solutions 3. Freezing Point Depression Sample Problem #1: ΔT = i Kf m Sample Problem #2: Lauryl alcohol is obtained from coconut oil and is used to make detergents. A solution of 5.00 g of lauryl alcohol in 0.100 kg of benzene freezes at 4.1 °C and the Kf for benzene is 5.12 °C kg/m. What is the molar mass of the lauryl alcohol? Freezing point of pure benzene is 2.756 °C. When 20.0 grams of an unknown nonelectrolyte compound are dissolved in 500.0 grams of benzene, the freezing point of the resulting solution is 3.77 °C. The freezing point of pure benzene is 5.444 °C and the K f for benzene is 5.12 °C/m. What is the molar mass of the unknown compound? Answer: 122.34 g/mol Lecturer: Daryl E. Magno, RPh 25 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Colligative Properties of Solutions 3. Freezing Point Depression Colligative Properties of Solutions 4. Osmotic Pressure ΔT = i Kf m § Osmosis is the spontaneous net movement of water across a semi-permeable membrane from a region of high to low water concentration § The pressure required to prevent osmosis in solutions Sample Problem #2: Lauryl alcohol is obtained from coconut oil and is used to make detergents. A solution of 5.00 g of lauryl alcohol in 0.100 kg of benzene freezes at 4.1 °C and the Kf for benzene is 5.12 °C/m. What is the molar mass of the lauryl alcohol? ∏ = iMRT Answer: 190 g/mol LIQUIDS LIQUIDS Colligative Properties of Solutions 4. Osmotic Pressure Colligative Properties of Solutions 4. Osmotic Pressure ∏ = iMRT Where ∏ is the osmotic pressure in atm i = van’t Hoff factor of the solute M = molar concentration in mol/L R = universal gas constant (0.0821 liter·atm/mol·K) T = absolute temperature in K ∏ = iMRT Sample Problem #1: How much glucose (C6H12O 6) [MW = 180g/mol) per liter should be used for an intravenous solution to match the 7.65 atm at 37 °C osmotic pressure of blood? LIQUIDS LIQUIDS Colligative Properties of Solutions 4. Osmotic Pressure Colligative Properties of Solutions 4. Osmotic Pressure ∏ = iMRT ∏ = iMRT Sample Problem #1: Sample Problem #2: How much glucose (C6H12O6) [MW = 180g/mol) per liter should be used for an intravenous solution to match the 7.65 atm at 37 °C osmotic pressure of blood? What is the osmotic pressure of a solution prepared by adding 13.65 g of sucrose (C12H22O11) [MW = 342g/mol) to enough water to make 250 mL of solution at 25 °C? Answer: 54.1 g Lecturer: Daryl E. Magno, RPh 26 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS Colligative Properties of Solutions 4. Osmotic Pressure ∏ = iMRT Sample Problem #2: What is the osmotic pressure of a solution prepared by adding 13.65 g of sucrose (C12H22O11) MW = 342g/mol) to enough water to make 250 mL of solution at 25 °C? Answer: 3.9 atm ISOTONIC SOLUTIONS LIQUIDS LIQUIDS Isotonic Solutions 1. Hypertonic Solutions Isotonic Solutions 2. Hypotonic Solutions § § A solution with more solute compared to cell concentrations Solutions that freeze lower that -0.52 °C § A solution with less solutes compared to cell concentrations Solutions that freeze higher than --0.52 °C § Results: crenation of the cell (shrinkage) § Result: swelling and lysis of the cell § LIQUIDS LIQUIDS Isotonic Solutions 3. Isotonic Solutions Isotonic Solutions § § § Solutions for which a living cell does not gain or lose water Solutions with similar osmotic pressure as that of body fluids Similar concentration as 0.9% (w/v) NaCl solution Lecturer: Daryl E. Magno, RPh 27 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS Methods of Adjusting Isotonicity Class I: Addition of a tonicity adjusting agent a. Freezing Point Depression Method/ Cryoscopic Method METHODS OF ADJUSTING ISOTONICITY b. Sodium Chloride Equivalent Method/ E Value Method Class II. Addition of water and dilution with buffered isotonic solution a. White Vincent Method b. Sprowl’s Method METHODS OF ADJUSTING ISOTONICITY METHODS OF ADJUSTING ISOTONICITY Class 1: Addition of a tonicity adjusting agent 1. Cryoscopic Method Class 1: Addition of a tonicity adjusting agent 1. Cryoscopic Method – Isotonic freezing point depression: 0.52 °C – Isotonic NaCl concentration: 0.9% (w/v) NaCl 𝑤% = 0.52 − 𝑎 𝑏 Where W% = conc g/100mL of adjusting substance a = freezing point depression of 1% adjusted substance multiple to the percentage strength B = freezing point depression of adjusting substance 𝑤% = 0.52 − 𝑎 𝑏 Sample Problem #1: How much NaCl is required to render 100 ml of a 1% soln. of apomorphin HCL isotonic? Fpd of 1%NaCl=0.52º, Fpd of 1%drug=0.08º METHODS OF ADJUSTING ISOTONICITY METHODS OF ADJUSTING ISOTONICITY Class 1: Addition of a tonicity adjusting agent 1. Cryoscopic Method Class 1: Addition of a tonicity adjusting agent 2. E Value Method Sample Problem #2: Compound the precription: Freezing point depression of 1% atropine solution is 0.07. Rx Atropine Sulfate Sodium Chloride Purified Water Make isotonic solution. Lecturer: Daryl E. Magno, RPh – E value: gram of NaCl equivalent to 1 gram of substance – Isotonic NaCl concentration: 0.9% (w/v) NaCl 1% q.s. 100 28 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 METHODS OF ADJUSTING ISOTONICITY METHODS OF ADJUSTING ISOTONICITY Class 1: Addition of a tonicity adjusting agent Class 1: Addition of a tonicity adjusting agent 2. E Value Method 2. E Value Method Step 1: Calculate the amount of NaCl represented by the ingredients in the prescription Step 2: Calculate the amount of NaCl that would make the volume of solution specified in the prescription Step 3: Subtract the amount of NaCl represented by the ingredients in prescription from the amount of NaCl that would make the specific volume in the prescription isotonic Step 4: if the tonicity agent is not NaCl, follow step 1-3 and the amount of NaCl is divided with the E value of that chemical Sample Problem #1: How many grams of NaCl should be used in compounding the following prescription? Rx Pilocarpine nitrate (E = 0.22) NaCl 0.3g qs Purified Water 30mL qs Make isotonic solution Sig for the eye METHODS OF ADJUSTING ISOTONICITY METHODS OF ADJUSTING ISOTONICITY Class 1: Addition of a tonicity adjusting agent 2. E Value Method Class 1: Addition of a tonicity adjusting agent 2. E Value Method Sample Problem #2: How many grams of NaCl should be used in compounding the following prescription to obtain an isotonic solution? Sample Problem #3: How many grams of boric acid should be used in compounding the following prescription to obtain an isotonic solution? Rx Rx Cocaine HCl (E = 0.16) NaCl 2% qs Purified Water 30mL qs Atropine sulfate (E = 0.13) Boric Acid (E = 0.52) 1% q.s Purified Water 30mL qs METHODS OF ADJUSTING ISOTONICITY METHODS OF ADJUSTING ISOTONICITY Class 1: Addition of a tonicity adjusting agent 2. E Value Method Class 2: Addition of a water and dilution with buffered isotonic solution Sample Problem #4: How many grams of boric acid should be used in compounding the following prescription to obtain an isotonic solution? Rx Phenacaine HCl (E = 0.17) Chlorambutanol (E = 0.18) 0.6g 0.3g Boric Acid (E = 0.52) Purified Water qs q.s 60mL Lecturer: Daryl E. Magno, RPh 1. White Vincent Method v= 𝑤 𝑋 𝐸𝑣𝑎𝑙𝑢𝑒 𝑋 111 .1 Sample Problem: Using White Vincent Method, compute for the required volume to make 0.3 g of Atropine sulfate (E=0.13) isotonic. 29 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) METHODS OF ADJUSTING ISOTONICITY Class 2: Addition of a water and dilution with buffered isotonic solution 1. Sprowl’s Method V= 0.3𝑔 𝑋 𝐸𝑣𝑎𝑙𝑢𝑒 𝑋 111 .1 1/25/18 METHODS OF ADJUSTING ISOTONICITY Sample Problem Rx Phenacaine hydrochloride 0.1g Boric acid 0.50g Distilled water q.s. 100mL (E=0.20) (E=0.50) Calculate the amount of water needed to make the solution isotonic. LIQUIDS Acid-Base Equilibria Theories on Acids and Bases 1. Arrhenius Theory THEORIES ON ACIDS AND BASES § Acids are substances which produce hydrogen ions in solution § Bases are substances which produce hydroxide ions in solution LIQUIDS LIQUIDS Acid-Base Equilibria Theories on Acids and Bases Acid-Base Equilibria Theories on Acids and Bases 2. Bronsted-Lowry Theory § An acid is a proton (hydrogen ion) donor § A base is a proton (hydrogen ion) acceptor Lecturer: Daryl E. Magno, RPh 3. Lewis Theory § An acid is an electron pair acceptor § A base is an electron pair donor 30 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Acid-Base Equilibria pH Acid-Base Equilibria Sorensen’s pH Scale § The negative logarithm of the H+ concentration § pH > 7 is basic § Example, [H+] = 5 X 10 -6 , what is the pH? § pH = 5.3 § pH = 0 is neutral § pH < 7 is acidic LIQUIDS LIQUIDS Acid-Base Equilibria Ionization Acid-Base Equilibria pH Calculations § The complete separation of ions in a crystal lattice when a salt is dissolved § For weak acids HA + H2 O § For weak bases B + H2 O Strong Acids pH = -log [H+] H3 O+ + A- Strong Base pOH = -log [OH-] pH = pKw - pOH OH- + BH+ Weak Acids pH = -log ( 𝒌𝒂 𝑿 𝑪𝒂 ) Weak Base pOH = log (√𝒌𝒃𝑿 𝑪𝒃 ) § For the ionization of water H20 + H2 0 H3 0+ + OH- LIQUIDS LIQUIDS Acid-Base Equilibria Buffer Acid-Base Equilibria Henderson-Has sel bal ch Equation • Solutions that have the property of resisting changes in pH when acids or bases are added to them • Consists of either: ü Weak acid and its conjugate base ü Weak base and its conjugate acid Lecturer: Daryl E. Magno, RPh pH = pK a + log ([A-]/[HA]) pH = pK b + log ([B]/[OH -]) 31 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Acid-Base Equilibria Henderson-Has sel bal ch Equation Acid-Base Equilibria % Ionization § Acid Sample Problem: Calculate the pH of a buffer solution made from 0.20 M HC2H3O2 and 0.50 M C2H3O2- that has an acid dissociation constant for HC2H3O2 of 1.8 x 10-5 % ionization = 100/ (1+10(pKa - pH)) § Base % ionization = 100/ (1+10(pH - pKa)) LIQUIDS LIQUIDS Acid-Base Equilibria % Ionization Acid-Base Equilibria % Ionization Sample Problem: If the pH-pKa=-1, what percentage of weak base is nonionized? Sample Problem: If the pH-pKa=-1, what percentage of weak base is nonionized? Answer: 9.1% LIQUIDS Acid-Base Equilibria Buffer Capacity § Buffer Efficiency § § Buffer Index Buffer Value § The ability of a buffer solution to resist changes in pH upon addition of an acid/alkali § Bmax (Maximum Buffer Capacity) = 0.567[C] Lecturer: Daryl E. Magno, RPh INTERFACIAL PHENOMENA 32 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Interfacial Phenomena § Attributed to the effects of molecules found at the interface (boundary between 2 phases) § Interfacial tension if its between two liquids and surface tension between solids and gas and liquid and gas Interfacial Phenomena § Capillary action- water “climb” upwards through thin glass tubes (called capillary tubes) which depends on the attraction between water molecules and the glass walls of the tube (adhesion), as well as on interactions between water molecules (cohesion) § Surfactants – “surface active agents”, lower the interfacial/surface tension LIQUIDS Interfacial Phenomena § Wetting phenomenon- determined by measuring the contact angle, which the liquid forms in contact with the solids or liquids § Contact Angle– angle which the liquid makes with the solid surface WETTABILITY CHANGE COLLOIDAL DISPERSION Lecturer: Daryl E. Magno, RPh 33 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Colloidal Dispersions LYOPHILIC (SOLVENTLOVING) DISPERSED PHASE SOLVATION EFFECT OF ELECTROLYTES Large organic molecules Solvated LYOPHOBIC ASSOCIATION (SOLVENT-HATING) (AMPHOPHILIC) Inorganic particles STABLE Little UNSTABLE Aggregates (micelles) Hydro or lipo portion is solvated depending on the medium Salting out may occur at high salt conc. Colloidal Dispersions Properties of Colloids 1. Optical § Tyndall Effect - ability to scatter light 2. Kinetic § Brownian Motion - molecules in random constant motion § Diffusion - governed by Fick’s Law of Diffusion LIQUIDS Colloidal Dispersions Properties of Colloids 3. Electric § § Nernst Potential - electrothermodynamic potential RHEOLOGY - relate cell potentials Zeta potential - Electrokinetic potential - results to flocculation LIQUIDS LIQUIDS Rheology § Study of the deformation and flow properties of matter § Viscosity- Measure of resistance to gradual deformation by shear stress or tensile stress 1. Absolute Viscosity 2. Kinematic Viscosity § § Lecturer: Daryl E. Magno, RPh Elasticity-measure of stickiness or structure Viscoelasticity- materials exhibit both elastic behavior and viscous flow 34 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 LIQUIDS LIQUIDS Rheology Rheology Absolute Viscosity Kinematic Viscosity Relative Viscosity 𝜼= 𝑭 𝑮 𝜂 𝑝 Ratio of viscosity of solutions to viscosity of solvent 1. Newtonian Flow § Constant viscosity with increasing rate § Has a linear relationship between shear rate and shear stress 𝜅= LIQUIDS LIQUIDS Rheology Rheology Non-Newtonia n 2. Non-Newtonian Flow A. Shear-dependent Viscosity 1. Plastic 2. Pseudoplastic 3. Dilatant B. Time-dependent Viscosity 1. Thixotropy 2. Rheopexy A. Shear-dependent Viscosity 1. Plastic § Bingham bodies § Require a yield stress before they begin to flow, i.e., the shear stress-strain curve doesn’t pass through origin LIQUIDS LIQUIDS Rheology Non-Newtonian A. Shear-dependent Viscosity 2. Dilatant § Viscosity of the fluid increases when shear is applied § Shear-thickening Rheology Non-Newtonian 3. Pseudoplastic § the more shear applied, the less viscous it becomes § Shear-thinning 2. Rheopexy § the longer the fluid undergoes shear stress, the higher its viscosity Lecturer: Daryl E. Magno, RPh B. Time-dependent Viscosity 1. Thixotropy § show a time-dependent change in viscosity; the longer the fluid undergoes shear stress, the lower its viscosity (Reversible) § Time-dependent shear thinning § Time-dependent shear thickening 35 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) LIQUIDS 1/25/18 LIQUIDS Determination of Viscosity 1. Ostwald Glass Capillary Viscometer 2. Rotational Viscometers LIQUIDS Determination of Viscosity A. Single Point 1. Capillary Viscometer 2. Falling Sphere Viscometer B. Multipoint 1. Cup & Bob Viscometer LIQUIDS Determination of Viscosity A. Multipoint 1. Cup & Bob Viscometer a. Searle Type b. Couette Type 2. Cone & Plate C. Others 1. Penetrometers 1. The p rocess wh ereby solute molecules mov e from the region of higher to lower concentration until equilibrium is reached: a. Osmosis b. Diffusion c. Dissolution d. Distribution CHECKPOINT Lecturer: Daryl E. Magno, RPh 2. E value is defined as a. Equivalent NaCl enough to make a normal solution b. Equivalent of NaCl to resemble the isotonicity of blood c. Amount of NaCl theoretic ally equivalen t to 1 gram of a specific chemical d. Amount of the chemical theoretic ally equivalent to 0.9 grams of NaCl 36 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 3. Shear-thickening a. Dilatant b. Pseudoplastic c. Plastic d. Newtonian 4. Ability of colloids to scatter light a. Brownian Movement b. Diffusion c. Adsorption d. Tyndall Effect 1/25/18 5. A solution with less solutes compared to cell concentrations will result into a. Lysis b. Swelling c. Shrinkage d. A and B SOLIDS § § Fixed shapes Nearly incompressible § With strong intermolecular forces § With little kinetic energy SOLIDS SOLIDS SOLIDS Crystalline solids § Molecules are arranged in repetitious 3D lattice units Crystalline solids 6 Common Crystalline Structures § Have sharp melting points § Have definite geometric forms Amorphous solids § aka Glasses or supercooled liquids § No definite order of molecules 1. Cubic (Sodium Chloride) 2. Tetragonal (Urea) 3. Hexagonal (Iodoform) 4. Rhombic (Iodine) 5. Monoclinic (Sucrose) 6. Triclinic (Boric acid) § No definite and sharp melting points Lecturer: Daryl E. Magno, RPh 37 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 SOLIDS SOLIDS Polymorphism § Ability of crystalline solids to exist in more than 1 crystalline form § Polymorphs are solids that have more than 1 crystalline form having different physical characteristics (melting points and solubilities) Polymorphism § Enantiotropic Ø The polymorph which can be changed from one form into another by varying temperature or pressure (REVERSIBLE) § Monotropic Ø The polymorph which can not be changed from one form into another (IRREVERSIBLE) SOLIDS Polymorphism § Isotropic Ø The properties of the different polymorphs are identical § Anisotropic Ø The properties of the different polymorphs are different MICROMERITICS SOLIDS SOLIDS Micromeritics § Study of small particles Micromeritics Fundamental Properties § Fundamental VS Derived properties § Includes: ü Particle Size § Particle Size Coarse Conventional > 1000 um 50 to 1000 um ü Particle Distribution Fine 1 to 50 um ü Particle Shape ü Surface Area Very Fine Ultra Fine 0.1 to 1 um <0.1 um ü Derived Properties Lecturer: Daryl E. Magno, RPh 38 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 SOLIDS SOLIDS Methods of Particle Size Determination 1. Optical Microscopy Methods of Particle Size Determination 1. Use of microscope to measure individual particles § 2. Sieving 3. Sedimentation 4. Particle Surface Area 3 Measurements Ferret Diameter Two tangents separated by the longest distance Martin Diameter Distance that will bisect the particles into halves Projected Area of the Circle Diameter of the circle that will enclose the particle SOLIDS SOLIDS Methods of Particle Size Determination 1. Use of microscope to measure individual particles Methods of Particle Size Determination 2. Sieve Analysis - USP Method - Mesh (Number of openings per linear inch) Sample Problem: 20 40 10 g 20 g 60 80 40 g 25 g Collecting pan 5 g Solve for the % of particles with size > mesh 40 SOLIDS SOLIDS Methods of Particle Size Determination Methods of Particle Size Determination 3. Sedimentation Method § Based on the sedimentation rate of particles 4. Automatic Particle Counters § Principle is Stokes’ Law v = rate of settling d = diameter ρ s = density of the particles ρ 0 = density of the dispersion medium g = acceleration due to gravity η = viscosity of the medium Lecturer: Daryl E. Magno, RPh Type of Counter Principle Involved Coulter Counter Electronic resistance HIAV/ Royco Light Blockage Instrument Light blockage Beckman Coulter Model Photon correlation Spectroscopy Microcomputerized mercury porosimetry Adsorption 39 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 SOLIDS SOLIDS Derived Properties Porosity Derived Properties Particle Volume • Measure of total voids present in a particle True/ Particle Volume Granule Volume Vp Vg Volume of particle V p + intraparticle pores/spaces/voids Bulk Volume Vb V g + interparticle pores/spaces/voids Void Volume v Volume of the spaces SOLIDS SOLIDS Derived Properties Density of Particles Porosity True Density ρ M/Vp Granule Density ρg M/Vg Bulk Density ρb M/Vb • ∈ • ∈ 𝒊𝒏𝒕𝒆𝒓𝒔𝒑𝒂𝒄𝒆 = • ∈ 𝒕𝒐𝒕𝒂𝒍= 𝒊𝒏𝒕𝒓𝒂𝒔𝒑𝒂𝒄𝒆= (Vb – Vg)/Vb X 100 (Vg – Vp)/Vg X 100 (Vb – Vp)/Vb X 100 Sample Problem Given: volume of particles = 0.3 intraparticle spaces = 0.1 spaces between particles = 1.6 Solve: Vg, Vb, ∈ 𝒊𝒏𝒕𝒆𝒓𝒔𝒑𝒂𝒄𝒆 ,∈ 𝒊𝒏𝒕𝒓𝒂𝒔𝒑𝒂𝒄𝒆 ,∈ 𝒕𝒐𝒕𝒂𝒍 SOLIDS SOLIDS Properties of Powders for Granulation § Fluidity or flowability Methods for Testing Flowability and Compressibility 1. Angle of Repose § Compressibility Methods for Testing Flowability and Compressibility 1. Angle of Repose • The angle assumed by a cone-like pile of powder relative to the horizontal base Angle= Arc tan (H/R) Lecturer: Daryl E. Magno, RPh - The angle assumed by a cone-like pile of powder relative to the horizontal base Angle= Arc tan (H/R) Sample Problem: 100g of powdered sample was made to flow from a funnel suspended at a height of of 15cm. A powder cone 12cm tall from the surface with a diameter of 5cm was made. Determine the angle of repose. 40 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) SOLIDS 1/25/18 SOLIDS Methods for Testing Flowability and Compressibility 1. Carr’s Index or Compressibility Index CI = (Vi- Vf) / Vi x 100 2. Hausner’s Ratio HR= Vi / Vf *Vi= Initial Volume or Untapped Volume *Vf= Tapped Volume 1. Size and shape are ex amples of what typ e of particl e properties: a. Derived b. Fundamental c. Both d. None CHECKPOINT 3. Triclinic a. NaCl b. Urea c. Sucrose d. Boric Acid 4. Properties are of polymorphs are identical a. Enantiotropic b. Monotropic c. Isotropic d. Anisotropic Lecturer: Daryl E. Magno, RPh 2. Measuremen t of particle size through op tical microscopy which is the distance that will bisect the particle into halves a. Ferret Diameter b. Martin Diameter c. Projected Area of the Circle d. AOTA 5. The angle assumed by a cone-like pile of powder relative to the horizontal base a. Angle of Repose b. Carr’s Compressibility Index c. Hausner’s Ratio d. NOTA 41 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 THERMODYNAMICS THREE LAWS OF THERMODYNAMICS 1. Law of Conservation of Energy, states that energy cannot be created or destroyed THERMODYNAMICS 2. The second law states that the entropy of any isolated system always increases 3. The third law of thermodynamics states that the entropy of a system approaches zero as the temperature approaches absolute zero THERMODYNAMICS THERMODYNAMICS Phase Diagram • Represents the states of matter that exist as temperature and pressure are varied Latent Heat or Molar Heat • Heat necessary for 1 mole of gas, solid or liquid to change to another phase THERMODYNAMICS GIBB’s PHASE RULE § Used to determine the number of independent variables that must be set in order to define a system § Degree of Freedom F = C-P + 2 (One-Compone nt System) F = C-P + 1 (Two-Compone nt System) F = C-P (Three-Component System) Lecturer: Daryl E. Magno, RPh Heat of Fusion Amount of energy that must be added to a mole of solid at constant pressure to turn it directly into a liquid (melting) or Amount of energy that must be added to a mole of liquid at constant pressure to turn it directly into a solid (freezing) Heat of Vaporization Amount of energy that must be added to a mole of liquid at constant pressure to turn it directly into a gas Heat of Sublimation Amount of energy that must be added to a mole of solid at constant pressure to turn it directly into a gas THERMODYNAMICS GIBB’s PHASE RULE § Example: A system comprising of liquid, water, in equilibrium with its vapor. Determine the degree of freedom. § Then we cool the liquid water and its vapor until a third phase (ice) separates out. Compute for the dree of freedom. 42 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 THERMODYNAMICS THERMODYNAMICS THERMODYNAMICS THERMODYNAMICS One-Component System Two-Component System containing Liquid Phases THERMODYNAMICS Two-Component System containing Liquid Phases • The line bc drawn across the region containing two phases is termed a tie line; • All systems prepared on a tie line, at equilibrium, will separate into phases of constant composition. • These phases are termed conjugate phases. Lecturer: Daryl E. Magno, RPh One-Component System Two-Component System containing Liquid Phases • The maximum temperature at which the twophase region exists is termed the critical solution, or upper consolute temperature. • In the case of the phenol–water system, this is 66.8°C (point h ). • All combinations of phenol and water above this temperature are completely miscible and yield one-phase liquid systems. THERMODYNAMICS Two-Component System containing Liquid Phases Lever rule is a tool used to determine mole fraction of each phase of a binary equilibrium phase diagram. Problem: Prepare a 50-g of mixture of 24% phenol in water solution. Determine the proportion of component A (water) and component B (phenol) at 50 degrees celsius. 43 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) THERMODYNAMICS Two-Component System containing Eutectic Mixtures 1/25/18 THERMODYNAMICS Two-Component System containing Eutectic Mixtures • solid–liquid mixtures in which the two components are completely miscible in the liquid state and completely immiscible as solids. • Examples of such systems are: üsalol–thymol, üsalol–camphor, üacetaminophen–propyphenazone. THERMODYNAMICS Three-Component System CHECKPOINT 1. Maximum temperature at which the two-phase region exists a. Critical solution temperature b. Tie Line c. Conjugate phase d. Lever arm 2. Amount of energ y that must be added to a mole of liquid at constant pressure to turn it directly into a gas a. Heat of Fusion b. Heat of Vaporization c. Heat of Sublimation d. NOTA Lecturer: Daryl E. Magno, RPh 3. Represents the states of matter that exists as temperature and pressure varied a. Thermodynamics b. Chemical Kinetics c. Phase Diagram d. NOTA 4. Point where 3 distinct phases co-exist a. Triple b. Eutectic c. Critical d. Polymorphic 44 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 CHEMICAL KINETICS - CHEMICAL KINETICS Study of the rates of reactions and the mechanism of which these reactions occur Order of Reaction - the way in which the concentration of the drug or reactant in a chemical reaction affects the rate CHEMICAL KINETICS CHEMICAL KINETICS 1. Zero order Reaction - Constant amount of drug is eliminated from the body (independent of the concentration in the body) 2. First Order Reaction - Constant percentage of drug is eliminated from the body (dependent of the concentration in the body) C= -kt + Co ln C= -kt + ln Co CHEMICAL KINETICS CHEMICAL KINETICS Example Problem: Initially a drug has concentration of 50mg/mL and after 20 days, the drug concentration became 24mg/mL. Compute for 1st order rate constant. Half-life -period of time required for the amount or concentration of a drug to decrease by 50% Zero order: Half life = 0.5 C First order Half life= 0.693/K Lecturer: Daryl E. Magno, RPh 45 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 1/25/18 CHEMICAL KINETICS Sample Problem: A drug has a biological half-life of 2 hours. At the end of eight hours, what percentage of the drug’s original activity will remain? 1. Atoms of the same element with the same number of nucleon number, but differing numbers of atomic number a. Isotopes b. Isobars c. Isotones d. AOTA 2. Crystal system of sucrose. a. Cubic b. Tetragonal c. Monoclinic d. Triclinic 5. A patient diagnosed with type II DM is administered an oral dose of 0.1 mg chlorpropramide (pKa=2.0). Determine the amount of drug that can be absorbed in the stomach (pH=5.0) a. 99.9mcg b. 90mg c. 10mcg d. 0.10mcg 6. Forces between molecules of similar phases a. Adhesion b. Cohesion c. Both d. None Lecturer: Daryl E. Magno, RPh FINAL CHECKPOINT 3. Mixing a hypertonic solution with red blood cell will cause _________ of the red blood cell a. Bursting b. Crenation c. Chelation d. Hemolysis 4. Dispersed system possess this property a. Optical activity b. Solubility c. Thixotropy d. Tonicity For nos. 7-8. 6.3 mg of a boron hydride is contained in a flask of 385 mL at 25.0° C and a pressure of 11 torr. 7. Determine the molar mass of the hydride. a. 27.70 b. 2760.50 c. 2.706 d. 276.70 8. Which of the following hydrides is contained in the flask? Given: MW B= 10.8110 g/mol a. b. c. d. BH3 B2 H6 B4 H10 None 46 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 9. Buffer solution is composed of: a. Strong acid and strong base b. Strong electrolyte and strong base c. Weak acid and its salt d. Strong acid and its salt 10. Process whereby solvent moves from higher to lower concentration until equilibrium is reached a. Osmosis b. Diffusion c. Adsorption d. Absroption 13. How much NaCl is needed to adjust the following prescription to isotonicity? Rx Pilocarpint Nitrate 1% E = 0.15 NaCl Purified Water q.s. 50mL a. 0.5g b. 0.450g c. 0.375g d. 0.245g 14. Vant’ Hoff factor of incomplete dissociated CaCl 2 a. 1 b. 1.8 c. 2.6 d. 3.4 17. Formula for intraspace porosity a. (Vb-Vg/Vb) X 100 b. (Vb + Vp/Vb) X 100 c. (Vg-Vp/Vg) X 100 d. (Vb-Vp/Vb) X 100 18. The initial plasma concentration of a drug given IV at 9:00am is 250mg/mL. If the half-life of the drug is 6 hours, perform a calculation to predict the plasma concentration will be at 9:00pm that same day. a. 125mg/mL b. 62.5mg/mL c. 31.25mg/mL d. 15.62mg/mL Lecturer: Daryl E. Magno, RPh 1/25/18 11. States that an acid is a proton donor and base is a proton acceptor a. Arrhenius b. Bronsted-Lowry c. Lewis d. AOTA 12. USP method for adjusting isotonicity a. E value b. D value c. White Vincent Method d. Sprowl Method 15. A solution of ferrous sulfate was prepared by adding 50 grams of FeSO4 (MW= 151.9g/mol) to enough water to make 1000mL of solution. Compute for M. a. 0.453 b. 0.329 c. 0.555 d. 0.378 16. Weakest force of attraction a. Keesom b. Debye c. London d. NOTA For nos. 19-20. 100g powder Mesh # Grams 20 40 60 80 Collecting Pan of powder that did not pass 15g 25g 10g 35g 15g 19. What is the % of powder smaller than mesh 40 and larger than mesh 80? a. 70% b. 45% c. 35% d. 15% 20. What is the % powder larger than mesh 40? a. 10% b. 25% c. 35% d. 40% 47 Pharmacist Licensure Examination Module 5: Pharmacutics (17.5%) 21.Using White-Vincent Method, compute for the required volume to make 0.2g of atropine sulfate (E=0.13) isotonic. Answer is in 2 decimal places. a. 2.88 b. 2.89 c. 3.00 d. NOTA 1/25/18 22. Solvent loving a. Lyophobic b. Lyophilic c. Amphiphilic d. NOTA 23. Density is a derived quantity from a. Mass and Volume b. Mass and Length c. Mass and Weight d. NOTA 24. Period of time where 90% of the original concentration is left a. Half-life b. Shelf-life c. Both d. None 25. 322 L of hydrogen occupies a volume of 197 L at STP. If the initial temperature of the hydrogen was 37° C, what was its initial pressure? a. 0.69 b. 0.79 c. 0.89 d. 0.99 Lecturer: Daryl E. Magno, RPh END OF PHYSICAL PHARMACY REVIEW 48