Chapter 11 Intermolecular Forces, Liquids, and Solids CONTENTS: 1. State of Matter 2. Intermolecular Forces 3. Some Properties of liquids 4. Phase Changes 5. Vapor Pressure 6. Phase Diagrams 7. Structures of Solids 8. Bonding in Solids 1 States of Matter The fundamental difference between states of matter is the distance between particles. Liquid molecules are held closer together than gas molecules, but not so rigidly that the molecules can slide past each other. Solid molecules are packed closely together. Molecules are so rigidly packed that they cannot easily slide past each other. States of Matter Converting a gas into a liquid or solid requires the molecules to get closer to each other: cool or compress. Converting a solid into a liquid or gas requires the molecules to move further apart from each other: heat or decrease the pressure 2 States of Matter Because in the solid and liquid states particles are closer together, we refer to them as condensed phases. The States of Matter The state of a substance, at a particular temperature and pressure, depends on : the kinetic energy of the particles; the strength of the attractions between the particles. 3 Intermolecular Forces Intermolecular forces are the forces that exist between molecules; they are the attractive forces that hold together the particles of a liquid or a solid. They are typically much weaker than covalent or ionic bonds (intramolecular forces). Examples So it takes much more energy to break the covalent bond between H and Cl than it does to vaporize HCl 4 Intermolecular Forces These intermolecular forces as a group are referred to as van der Waals forces. Effect of Intermolecular Forces on Physical Properties of Liquids and Solids When a substance undergoes a physical change, the intermolecular forces are broken and not the intramolecular forces. When a substance condenses the intermolecular forces are formed. The strength of the intermolecular forces in a compound are reflected in its melting point and boiling point. The stronger the intermolecular forces, the more energy is required to overcome those forces 5 van der Waals Forces Dipole-dipole interactions London dispersion forces 6 ClF3 (polar molecule) 7 What is Ion-Dipole Force (IDF)? An IDF exists between an ion and the partial charge on the end of a polar molecule. IDF (and Ionic Bonding) are the strongest of all intermolecular forces Ion-Dipole Forces (IDF) The positive ends will orient themselves toward a negative ion, and the negative ends will orient themselves toward a positive ion. As with all electrostatic attraction, the magnitude of the attraction increases with the size of the charge (both on the ion and on the dipole). 8 Dipole-Dipole Interactions (DDF) Molecules that have permanent dipoles are attracted to each other. The positive end of one is attracted to the negative end of the other and viceversa. These forces are only important when the molecules are close to each other. Interactions Between two Polar Molecules There is a mix of attractive and repulsive forces as the molecules tumble. The overall effect is a net attraction The greater the polarity of the molecules, the stronger the attractions between them. 9 Dipole-Dipole Interactions For molecules of approximately the same size, boiling point increases with increasing dipole moment. The more polar the molecule, the higher is its boiling point. London Dispersion Forces Many nonpolar substances exist as condensed phases. The intermolecular forces holding nonpolar atoms or molecules together are known as London dispersion forces (LDF). 10 London Dispersion Forces While the electrons in the 1s orbital of helium would repel each other (and, therefore, tend to stay far away from each other), it does happen that they occasionally wind up on the same side of the atom. London Dispersion Forces At that instant, then, the helium atom is polar, with an excess of electrons on the left side and a shortage on the right side. 11 London Dispersion Forces Another helium nearby, then, would have a dipole induced in it, as the electrons on the right side of helium atom 1 repel the electrons in the cloud on helium atom 2. London Dispersion Forces London dispersion forces, or dispersion forces, are attractions between an instantaneous dipole and an induced dipole. 12 London Dispersion Forces These forces are present in all molecules, whether they are polar or nonpolar. The tendency of an electron cloud to distort in this way is called polarizability. Factors Affecting London Forces The strength of dispersion forces tends to increase with increased molecular weight. Larger atoms have larger electron clouds which are easier to polarize. 13 Factors Affecting London Forces The shape of the molecule affects the strength of dispersion forces: long, skinny molecules (like n-pentane tend to have stronger dispersion forces than short, fat ones (like neopentane). This is due to the increased surface area in n-pentane. Example Long thin molecules can develop bigger temporary dipoles. Butane: b.p.: -0.5°C H3C 2-methylpropane: b.p.: -11.7°C H2 C C H2 CH3 CH3 H3 C CH CH3 14 Which Have a Greater Effect? Dipole-Dipole Interactions or Dispersion Forces ? If two molecules are of comparable size and shape, dipole-dipole interactions will likely be the dominating force. Example 15 Which Have a Greater Effect? Dipole-Dipole Interactions or Dispersion Forces ? If one molecule is much larger than another, dispersion forces will likely determine its physical properties. Example Which of the following would have a higher boiling point CCl4 or CHCl3 ? 16 CCl4 is less polar and bigger than CHCl3 but the LDF for CCl4 is greatly larger than the combined LDF and DDF for CHCl3 CHCl3 61.2°C CCl4 76.8°C Hydrogen bonding (HB) The dipole-dipole interactions experienced when H is bonded to N, O, or F are unusually strong. We call these interactions hydrogen bonds. The HB occurs when H is covalently bonded to F, O, or N. 17 Example Example: 5,6, and 7 Groups’ Boiling Points 18 Hydrogen Bonding Hydrogen bonding arises from the high electronegativity of nitrogen, oxygen, and fluorine. Also, when hydrogen is bonded to one of those very electronegative elements, the hydrogen nucleus is exposed. Hydrogen Bonding Dark blue represents oxygen and red hydrogen. Magenta bonds are bonds within each water molecule, light blue bonds are hydrogen bonds between molecules. 19 Density of water Temp (oC) Density (kg/m3) +100 +80 +60 +40 +30 +25 +22 +20 +15 +10 +4 0 −10 −20 −30 958.4 971.8 983.2 992.2 995.6502 997.0479 997.7735 998.2071 999.1026 999.7026 999.9720 999.8395 998.117 993.547 983.854 Strength of HB HB - relatively strong form of intermolecular attractions HB are the strongest forces after IDF 20 Summarizing Intermolecular Forces Intermolecular Forces Affect Many Physical Properties The strength of the attractions between particles can greatly affect the properties of a substance or solution. Viscosity, surface tension, meniscus, capillary action… 21 Viscosity Resistance of a liquid to flow is called viscosity. It is related to the ease with which molecules can move past each other. Example 1 Pushing a spoon with a small force moves it easily through a bowl of water, but the same force moves mashed potatoes very slowly Different materials have different viscosities 22 Viscosity Units The international unit is Kg·m−1·s−1 . Other unit is the Poise. 1 Poise = 100 centipoise (cP) = 1 g·cm−1·s−1 Viscosity tends to fall as temperature increases Water viscosity goes from 1.79 cP to 0.28 cP in the temperature range from 0 °C to 100 °C 23 Example 2 The stronger the intermolecular forces, the higher the viscosity. Surface Tension The molecules at the surface of this sample of liquid water are not surrounded by other water molecules. The bulk molecules are surrounded by other molecules and are equally attracted to their neighbors. 24 Surface Tension The unbalanced attraction of molecules at the surface of a liquid tends to pull the molecules back into the bulk liquid . Surface tension results from the net inward intermolecular attractive forces experienced by the molecules on the surface of a liquid causing it to behaves like a skin. Surface Tension This forces liquid surfaces to contract to the minimal area. Surface tension is responsible for the shape of liquid droplets. 25 Units of Measurements Surface tension is the amount of energy required to increase the surface area of a liquid Surface tension is typically measured in dynes/cm. Other unit include J/m2 Talk ? Example Water at 20°C has a surface tension of 72.9 dynes/cm (7.29 J/ m2) compared to 22.3 dynes/cm for ethyl alcohol and 465 dynes/cm for mercury. The surface tension decreases significantly as temperature increases 26 Cohesive and Adhesive Forces Cohesive forces results from the intermolecular attractions between the molecules. Cohesive Forces bind the molecules to each other. Forces of attraction between a liquid and a solid surface (container) are called adhesive forces Cohesive and Adhesive Forces The difference in strength between cohesive forces and adhesive forces determine the behavior of a liquid in contact with a solid surface: Water does not wet waxed surfaces because the cohesive forces within the drops are stronger than the adhesive forces between the drops and the wax. Water wets glass and spreads out on it because the adhesive forces between the liquid and the glass are stronger than the cohesive forces within the water. 27 Formation of a Meniscus When liquid water is confined in a tube, its surface (meniscus) has a concave shape because water wets the surface. Formation of a Meniscus In liquid Hg the cohesive forces within the drops are stronger than the adhesive forces between the drops and glass. When liquid mercury is confined in a tube, its surface (meniscus) has a convex shape because Mercury does not wet glass 28 Capillary Action Even though we usually think of water as running downhill, it can indeed flow upwards using a process called capillary action. Capillary action is the tendency of a liquid to rise in narrow tubes The liquid climbs up the inside of the tube (as a result of adhesive forces between the liquid and the inner walls of the tube). The smaller the diameter of the tube, the higher the liquid rises. Example Plants contain many vein like tubes that carry water from the plant's roots upwards to the plant's highest leaves via capillary action. Capillary action is responsible for moving groundwater from wet areas of the soil to dry areas. The small pores of a sponge act as small capillaries, causing it to absorb a comparatively large amount of fluid. 29 Phase Changes Energy Changes Accompanying Phase Changes DHsub > 0 (endothermic). Vaporization: DHvap > 0 (endothermic). Melting or Fusion: DHfus > 0 (endothermic). Deposition: DHdep < 0 (exothermic). Condensation : DHcon < 0 (exothermic). Freezing: DHfre < 0 (exothermic). Sublimation: Generally enthalpy of fusion is less than enthalpy of vaporization: it takes more energy to completely separate molecules, than partially separate them 30 Heating Curves Plot of temperature changes versus heat added is a heating curve. The temperature of the substance does not rise during a phase change. These points are used to calculate DHfus and DHvap Supercooling Supercooling: When a liquid is cooled below its melting point and it still remains a liquid. ..\..\..\..\..\..\Desktop\Supercooling.mp4 Also, superheating… Talk ? 31 Example Freon-11, which has the chemical formula CCl3F, has a normal boiling point of 23.8°C. The specific heats of CCl3F(l) and CCl3F(g) are 0.87 J/g-K and 0.59 J/g-K, respectively. The heat of vaporization is 24.75 kJ/mol. Calculate the heat required to convert 10.0 g of Freon-11 from a liquid at -50.0°C to a gas at 50.0°C. Volatility and Vapor Pressure We can commonly observe that any liquid left in an open container will, under most conditions, eventually evaporate, even if the temperature of the liquid is well below the normal boiling point Some of the molecules on the surface of a liquid have enough kinetic energy to escape the attraction of the liquid molecules on the surface into the gas phase. As the number of molecules in the gas phase increases, some of the gas phase molecules strike the surface and return to the liquid. 32 Volatility and Vapor Pressure Volatility is a measure of the tendency of a liquid to vaporize Volatility gaseous fraction y liquid fraction x A substance with a higher vapor pressure will vaporize more readily than a substance with a lower vapor pressure. Volatility and vapor pressure are directly proportional to one another Dynamic Equilibrium As more molecules escape the liquid, the pressure they exert increases. The liquid and vapor reach a state of dynamic equilibrium: liquid molecules evaporate and vapor molecules condense at the same rate. Vapor pressure is the pressure exerted when the liquid and vapor are in dynamic equilibrium. 33 Vapor Pressure as Function of Temperature The tendency of a liquid to evaporate is referred as volatility: a more volatile liquid evaporates more readily. The higher the temperature, the higher the average kinetic energy, the faster the liquid evaporates Vapor pressure increases as temperature increases. Vapor Pressure and Boiling Point The boiling point of a liquid is the temperature at which its vapor pressure equals atmospheric pressure. The normal boiling point is the temperature at which its vapor pressure is 760 torr. Pressure cookers operate at high pressure. At high pressure the boiling point of water is higher than 100 °C . Therefore, there is a higher temperature over which the food would be cooked faster. 34 Phase Diagrams Plot of Pressure versus Temperature Phase diagrams display the state of a substance at various pressures and temperatures and the places where equilibria exist between phases. Phase Diagrams The circled line is the liquid-vapor interface (curve). It starts at the triple point (T), the point at which all three states are in equilibrium. 35 Phase Diagrams It ends at the critical point (C); above this critical temperature and critical pressure the liquid and vapor are indistinguishable from each other. Phase Diagrams Each point along this line is the boiling point of the substance at that pressure. 36 Phase Diagrams The circled line in the diagram below is the interface between liquid and solid. The melting point at each pressure can be found along this line. Phase Diagrams Below the triple point the substance cannot exist in the liquid state. Along the circled line the solid and gas phases are in equilibrium; the sublimation point at each pressure is along this line. 37 Phase Diagrams Below the triple point the substance cannot exist in the liquid state. Along the circled line the solid and gas phases are in equilibrium; the sublimation point at each pressure is along this line. Phase Diagram of Water Note the high critical temperature and critical pressure.These are due to the strong van der Waals forces between water molecules. 38 Phase Diagram of Water The slope of the solid-liquid line is negative (slops to the left). This means that as the pressure is increased at a temperature just below the melting point, water goes from a solid to a liquid. Freeze drying Technology developed by NASA for the long distance Apollo missions 39 Phase Diagrams Below the triple point the substance cannot exist in the liquid state. Along the circled line the solid and gas phases are in equilibrium; the sublimation point at each pressure is along this line. Freeze drying (coffee) 40 Supercritical fluids At ordinary pressures, a substance above its critical temperature behaves like an ordinary gas. However, as the pressure increases its character changes. Like a gas , the substances still expands but its density approaches that of a liquid. A substance at temperature and pressure higher than its critical temperature and pressure is considered as supercritical fluid Phase Diagram of Carbon Dioxide Carbon dioxide cannot exist in the liquid state at pressures below 5.11 atm; CO2 sublimes at normal pressures. 41 SOLIDS Solids We can think of solids as falling into two groups: crystalline, in which particles are in highly ordered arrangement Examples: quartz , sugar. Crystalline solids tend to melt at specific temperatures. Therefore, have a narrow range of intermolecular forces 42 Solids amorphous, in which there is no particular order in the arrangement of particles. Tend to melt over a range of temperatures. Therefore, amorphous solids have variable intermolecular forces Examples: polymer, glass Crystalline Solids Because of the order in a crystal, we can focus on the repeating pattern of arrangement called the unit cell. 43 Unit Cells in Crystalline Solid The smallest repeating unit in a crystal is called unit cell. A crystal structure is composed of periodically repeating units in three dimensions A crystal's structure play a role in determining many of its properties Example of Unit Cell CsCl unit cell 44 Crystal system There are seven unique crystal systems. The simplest and most symmetric is the cubic system that has the symmetry of a cube. The other six systems, are hexagonal, tetragonal, rhombohedral (also known as trigonal), orthorhombic, monoclinic and triclinic 45 7 crystal systems cubic orthorhombic tetragonal rhombohedral hexagonal monoclinic triclinic 7 systems = 14 Bravais lattices 46 47 Three types of cubic unit cells Three types of cubic unit cells 48 Cubic Unit Cells 1. Primitive cubic, atoms are at the corners of a simple cube. Each atom is shared by 8 unit cells. 2. Body-centered cubic (bcc), atoms are at the corners of a cube plus one at the center of the body of the cube. Corner atoms are shared by 8 unit cells and the central one is completely enclosed in one unit cell. 3. In face-centered cubic (fcc), atoms are at the corners of a cube and another one at the center of each face of the cube. Corner atoms are shared by 8 unit cells, face atoms are shared by 2 unit cells. Empirical formula We can determine the empirical formula of an ionic solid by determining how many ions of each element fall within the unit cell. 49 Empirical formula What are the empirical formulas for these compounds? (a) Green: chlorine; Gray: cesium (b) Yellow: sulfur; Gray: zinc (c) Gray: calcium; Blue: fluorine (a) (b) CsCl ZnS (c) CaF2 X-Rays X-rays are electromagnetic radiations of wavelength about 1 Å- 2 Å (about the same size as an atom). X-ray crystallography is used to determine solid structures 50 X-Rays Each crystalline solid has its unique characteristic X-ray pattern which may be used as a "fingerprint" for its identification. We can determine the size and the shape of the unit cell for any compound most easily using the diffraction of X-rays. Bonding in Solids Four types of solids: 1. Molecular Solids 2. Covalent Network Solids 3. Ionic Solids 4. Metallic Solids 51 Molecular Solids Molecular (formed from molecules) - usually soft with low melting points and poor conductivity. Intermolecular forces: dipole-dipole, London dispersion and H-bonds. Weak intermolecular forces give rise to low melting points: Naphthalene C10H8 Tf= 80°C Benzoic Acid C6H5CO2H Tf= 122°C Glucose C6H12O6 Tf= 155°C. Covalent-Network Solid Atoms or molecules linked together by covalent bonds. In general very hard with high melting points and poor to good conductivity. Examples: Carbon(diamond or graphite); quartz (SiO2); silicon carbide (SiC); boron nitride (BN). 52 Covalent-Network Solids Diamond is an example of a covalent-network solid, in which atoms are covalently bonded to each other. They tend to be hard and have high melting points. Covalent-Network Solids Graphite is an example of a molecular solid, in which atoms are held together with van der Waals forces. They tend to be softer and have lower melting points. 53 Why Phosphorus melts at lower temperature than Silicon? Phosphorus melts at = 317 K (Molecular solid) Silicon melts at 1683 K (Covalent Network Solid) Ionic Solids (formed from ions) – brittle to hard, high melting points and poor conductivity . Ions held together by electrostatic forces of attraction: F = k Q1Q2 d2 54 simple classifications for ionic lattice types: NaCl Structure Face-centered cubic lattice. Cation to anion ratio is 1:1. Examples: LiF, KCl, AgCl and CaO. Example The geometric arrangement of ions in crystals of LiF is the same as that in NaCl. The unit cell of LiF is 4.02 Å on an edge. Calculate the density of LiF. The volume of a cube of length a on an edge is a3, so the volume of the unit cell is (4.02 Å)3. We can now calculate the density, converting to the common units of g/cm3. 55 CsCl Structure Cs+ ions occupy the center and Cl- ions occupy the corners of the cubic unit cell. CsCl has a different structure than NaCl (Cs+ is larger than Na+). Cation to anion ratio is 1:1. Zinc Blende Structure Typical example ZnS. S2- ions adopt a fcc arrangement. around the Zn2+ ions that occupy the center of a tetrahedron . Example: CuCl. 56 Fluorite Structure Fluorite Structure CaF2 Ca2+ ions in a fcc arrangement. F- occupies the center of a Octahedron Examples: BaCl2, PbF2 Structure of CsCl, Zns, and CaF2 57 Metallic Solids Metals are not covalently bonded, but the attractions between atoms are too strong to be van der Waals forces. In metals valence electrons are delocalized throughout the solid. the metal nuclei float in a sea of electrons. 58
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