OME General Chemistry Lecture 5: Intermolecular Forces, Solids, Liquids Dr. Hartwig Pohl Office: Beyer-Bau 122e Email: [email protected] Phone: +49 351 463 42576 1 Intermolecular Interactions We have studied the intramolecular forces among atoms or ions within a molecule… What holds molecules together to form matter? Intermolecular Forces (IMFs): the forces that hold one molecules to another molecule • Electrostatic attraction between oppositely charged portions of molecules • Cause changes in the state of a material (solid, liquid, gas) • Changes in physical properties (melting point, boiling point, vapor pressure, etc.) based on strength of the IMFs Main Types of IMFs: Dipole-Dipole, Hydrogen Bonding, IonInduced Dipole, Dipole-Induced Dipole, Induced Dipole-Induced Dipole (London Dispersion Forces) 2 LI QUI DS & SOLI DS w it is time to consider the forces that condense matter. The forces that hold one molecule to lecule are referred to as intermolecular forces (IMFs). These forces arise from unequal dis he electrons in the molecule and the electrostatic attraction between oppositely charged po lecules. We briefly visited the IMFs earlier when discussing the nonideal behavior of gase ces cause changes of state by causing changes among the molecules NOT within them. ysical properties such as melting points, boiling points, vapor pressures, etc. can be attributed Intermolecular Interactions Gas (g) Liquid (l) Solid (s) ngth of the intermolecular between It works like this: Oxygen, O2 attractions present Water, H2O molecules. Sodium Chloride, NaClthe lowe ling point (or vapor pressure weaker the intermolecular attractions; the very low boiling or melting point), lowthe boiling very high boiling boiling point, the stronger attractions. gasoline weakest IMFsthe intermolecular stronger IMFs For example, strongest IMFsevaporates m re quickly than water. Therefore, the intermolecular attractive forces that hold one gasoline m another are much weaker than the forces of attraction that hold one water (ionic molecule bonding) to another lecule. In fact, water molecules are held together by the strongest of the intermolecular attrac ces, hydrogen bonds. Hydrogen bonds are not true bonds—they are just forces of attraction t ween a hydrogen atom on one molecule and the unshared electron pair on fluorine, oxygen o 3 ogen atoms of a neighboring molecule. The strands of DNA that make up our genetic code a Dipole-Dipole Interactions Dipole-Dipole: the force of attraction that enables two polar molecules to attract one another. Polar molecules are those which have an uneven charge distribution since their dipole moments do not cancel. Strongest of the IMFs! 4 Hydrogen Bonding Hydrogen bonding: the force of attraction the H-atom of one ding—the force between of attraction between the molecule and an unshared electron pair of one molecule and an unshared electron on F, O, or N of a neighboring molecule N of a neighboring molecule (a special (a special case of dipole-dipole). bonded H H “bond” dipole). This is the strongest IMF. Never en bonding a bondedIMF. hydrogen. The This iswith the strongest l properties of water are due to the fact Note: Don’t confuse H-bonding with a hydrogen bonding. As a result of these hydrogen. er has a bonded high boiling point, high specific other unusual properties. The unique physical properties of water are due to the fact that it exhibits hydrogen bonding. As a result of these attractions, water has a high b.p., high specific heat, and many other unusual properties. 5 ydrogen atom of one molecule and an unshared electron air on F, O, or N of a neighboring molecule (a special ase of dipole-dipole). This is the strongest IMF. Never onfuse hydrogen bonding with a bonded hydrogen. The nique physical properties of water are due to the fact hat it exhibits hydrogen bonding. As a result of these ttractions, water a high boilinginpoint, high specific Why so has much variation b.p. among the covalent hydrides of groups IV through VII? eat, and many other unusual properties. Hydrogen Bonding Expectation: increase b.p. with molecular mass more e– in a molecule, more polarizable e– cloud, stronger IMFs more energy needed to overcome those increased attractions WHY is there such variation in the boiling point among the covalent hydrides of groups lighter hydrides have higher EN values which to more polar H−X bonds. V through1.VII? One would expect that BP would increase withleads increasing molecular small size of dipolethe allows a closer approach of theabout dipoles, mass [since2.theThe more electrons in each a molecule, morefor polarizable the cloud {more hat in the nextfurther section},strengthening the stronger the IMFs, thereforeRemember, the more E needed to overcome the attractions. attractive forces dissipate hose increasedwith attractions and vaporize, increased distance.thus the higher the boiling point. That’s how it s supposed to work!]. Hydrogen bonding, that’s why! TWO reasons: both enhance the IMF we refer to as hydrogen bonding. 6 Ion/Dipole–Induced Dipole Ion-Induced Dipole: the force of attraction between a charged ion and a nonpolar molecule. The ion greatly perturbs the electron cloud of the nonpolar molecule and polarizes it transforming it into a temporary dipole which enhances the ion’s attraction for it. – – – Dipole-Induced Dipole: the force of attraction between a polar molecule and a nonpolar molecule. The polar molecule induces a temporary dipole in the nonpolar molecule. Larger molecules are more polarizable than smaller molecules since they contain more electrons. Larger molecules are more likely to form induced dipoles. 7 London Dispersion Forces Induced Dipole-‐Induced Dipole (London Dispersion Forces): the force of attraction between two non polar molecules due to the fact that they can form temporary dipoles. Nonpolar molecules have no natural attraction for each other. Without these forces, we could not liquefy covalent gases or solidify covalent liquids. These forces are a function of the number of electrons in a given molecule and how tightly those electrons are held. 8 London Dispersion Forces Understanding London Dispersion Forces… Molecules are constantly colliding with each other. When these collisions occur, the electron cloud around the molecule is distorted. This produces a momentary induced dipole within the molecule! The amount of distortion of the electron cloud is referred to as polarizability. All molecules have electrons all molecules have these forces. Strength ranges from 5—40 kJ/mol and increases as the number of electrons increase due to increasing polarizability. Ex: Halogens exist as nonpolar, diatomic molecules at room temperature and atmospheric conditions. F2 and Cl2 are gases, Br2 is a liquid and I2 is a solid. Increasing strength of IMFs due to increased polarizibility! 9 Intermolecular Forces Overview 10 Example: IMFs What are the most important IMFs between the following molecules and atoms: a) NaCl (aq) b) Fe2+ and O2 c) CH3Cl an CCl4 11 id lauqenu morf esira secrof esehT .)sFM I( sec rof ra luce lom retn i sa ot derrefer era eluce p degrahc yletisoppo neewteb noitcartta citatsortcele eht dna elucelom eht ni snortcele eh sag fo roivaheb laedinon eht gnissucsid nehw reilrae sFMI eht detisiv ylfeirb eW .seluce .meht nihtiw TON selucelom eht gnoma segnahc gnisuac yb etats fo segnahc esuac se etubirtta eb nac .cte ,serusserp ropav ,stniop gniliob ,stniop gnitlem sa hcus seitreporp lacis Physical States & IMFs retni eht fo htgn celomIMFs aluFlow cartta rto eb tneserp snoitAbility I .selucelom neewtCompressibility l skrow& tVolume siht ekiShape ol eht :State rekaew eht ,)tniop gnitlem ro erusserp ropav ro( tniop gni i ehtshape etnown alucelomrits ht ;snoitcartta rMaintains Solid ht ,tniop gniliob gnorts eStrong i eht renone celomretnAlmost tta ralunone ,elpmaxe roF .snoitcarAlmost sagvolume setaropave eniloand f evitcofartta ralucelomretni eht ,eroferehT .retaw naht ylkciuq e h taht sectoroshape enilosag eno dloConforms hcum era rehton ht naht rekaewModerate fo secrof eModerate carttalow h taht noitVery eno dlolimited om retaw volume t elucelcontainer, ehtona oLiqui i eht fo tsegnorts eht yb rehtegot dleh era selucelom retaw ,tcaf nI .eluce rtta raludcelomrebytnsurface noitcartta fo secrof tsuj era yeht—sdnob eurt ton era sdnob negordyH .sdnob negordyh ,se Conforms to shape and negordyh a nee m eno no mota Weak eht dna eluceloHigh nortcele derahsnuHigh apcontainer lf no riof ,enirouvolume negyxoGas edoc citeneg ruo pu ekam taht AND fo sdnarts ehT .elucelom gnirobhgien a fo smota neg .noitcartta ralucelomretni fo epyt siht yb reht 12 Closer Look: Solids The particles that make up a solid material, whether ionic, molecular, covalent, or metallic, are held in place by strong attractive forces. In discussing solids, the positions of the atoms, molecules, or ions, which are fixed in place, are considered. The constituents of a solid can be arranged in two general ways: 1. They can form a regular repeating three-dimensional structure called a crystal lattice, thus producing a crystalline solid. 2. They can aggregate with no particular order, in which they form an amorphous solid. 13 Crystalline Solids (Crystals) General Properties of Crystalline Solids: • Distinctive internal structures that lead to distinctive flat surfaces, or faces • Faces intersect at angles that are characteristic of the substance and reflect the regular repeating arrangement of the component atoms, molecules, or ions • Structure produces a distinctive X-ray pattern that can be used for identification • Relatively sharp, well-defined melting points because all component atoms, molecules, or ions are the same distance from the same number and type of neighbors: regularity of the crystalline lattice creates local environments that are the same – Intermolecular forces holding the solid together are uniform, and the same amount of thermal energy is needed to break all of the interactions simultaneously 14 Amorphous Solids General Properties of Amorphous Solids: • When cleaved or broken, they produce fragments with irregular surfaces. • They have poorly defined X-ray patterns • Almost any substance can solidify in amorphous form if the liquid phase is cooled rapidly enough, but some solids are intrinsically amorphous • The local environment, including both the distances to the neighboring units and the numbers of neighbors, varies throughout the material. – Different amounts of thermal energy are needed to overcome these different interactions. – Tend to soften slowly over a wide temperature range rather than having a well-defined melting point. – If maintained at a temperature just below the m.p. for long periods of time, the component molecules, atoms, or ions can gradually rearrange into a more highly ordered crystalline form. 15 X-Ray Analysis of Crystalline Solids X-ray diffraction is a useful tool for obtaining information about the structures of crystalline substances because the wavelength of X-ray radiation is comparable to the interatomic distances in most solids. • A beam of X-rays is aimed at a sample of a crystalline material, and the Xrays are diffracted by layers of atoms in the crystalline lattice. • When the beam strikes photographic film, it produces pattern, which consists of dark spots on a light background. 16 X-Ray Analysis of Crystalline Solids Bragg worked out the mathematics that allow X-ray diffraction to be used to measure interatomic distances in crystals and to provide information about the structures of crystalline solids… X-rays diffracted fromshows different ofwaves atomsbeing in a solid reinforce one in two different la The diagram below two planes in-phase reflected by atoms another if they are in phase, which occurs only if the extra distance they travel a crystal. The extra distance traveled y the lower wave is the sum of the distances xy and y corresponds to an integral number of wavelengths. the waves will be in phase after reflection if xy + yz = nλ. Bragg equation: 2d sin = n 17 Arrangement of Atoms in Crystals A crystalline solid consists of repeating patterns of its components in three dimensions (a crystal lattice). An entire crystal can be represented by drawing the structure of the smallest identical units (called a unit cell) that, when stacked together, form the crystal. 18 The Cubic Unit Cell The three types of cubic unit cells: Simple cubic: unit cell consists of eight component atoms, molecules, or ions located at the corners of the cube Body-centered cubic (bcc): unit cell also contains an identical component in the center of the cube Face-centered cubic (fcc): unit cell has components in the center of each face in addition to those at the corners of the cube 19 Density Based on Unit Cell A solid consists of a large number of units cells arrayed in three dimensions. Density is the mass of substance per unit volume, and the density of the bulk material can be calculated from the density of a single unit cell. For the calculation, it is necessary to know the size of the unit cell (to obtain its volume), the molar mass of its components, and the number of components per unit cell. When counting atoms or ions in a unit cell, those lying on a face, an edge, or a corner contribute to more than one unit cell. – Face two adjacent unit cells 1/2 atom per unit cell – Edge four adjacent unit cells 1/4 atom per unit cell – Corner eight adjacent unit cells 1/8 atom per unit cell – Atoms that lie entirely within a unit cell belong to only that unit cell. 20 Simple Binary Compounds The structures of most binary compounds are dictated by the packing arrangement of the largest species (the anions), with the smaller species (the cations) occupying appropriately sized holes in the anion lattice. A simple cubic lattice of anions contains only one kind of hole, located in the center of the unit cell. • Equidistant from all eight atoms at the corners of the unit cell cubic hole • Many ionic compounds that contain large cations and have a 1:1 cation:anion ratio have this structure. 21 Simple Binary Compounds The structures of most binary compounds are dictated by the packing arrangement of the largest species (the anions), with the smaller species (the cations) occupying appropriately sized holes in the anion lattice. A face-centered cubic array of atoms or anions contains both octahedral holes and tetrahedral holes • Octahedral holes: one in the center plus a shared one in the middle of each edge • Tetrahedral holes: located between an atom at a corner and the three atoms at the centers of the adjacent faces • Cations of intermediate size occupy octahedral holes in an fcc anion lattice, and small cations occupy tetrahedral holes 22 Ex: Simple Binary Compounds Simple Cubic, CsCl Face Centered Cubic, NaCl octahedral holes Face Centered Cubic, ZnS tetrahedral holes 23 Defects in Crystals Real crystals contain large numbers of defects ranging from variable amounts of impurities to missing or misplaced atoms or ions Defects occur for three main reasons: 1. It is impossible to obtain any substance in 100% pure form; some impurities are always present. 2. Forming a crystal requires cooling the liquid phase to allow all atoms, ions, or molecules to find their proper positions, but cooling results in one or more components being trapped in the wrong place in a lattice or in areas where two lattices that grow separately intersect. 1. Applying an external stress to a crystal can cause microscopic regions of the lattice to move with respect with the rest; this results in imperfect alignment. 24 Classification of Solids Based on the nature of the forces that hold the component atoms, molecules, or ions together, solids are classified as… Atomic Solids Lattice Points IMFs Metallic Network Group 8A Molecular Solids Metal Atoms Nonmetal Atoms Group 8A Atoms Discrete Molecules Ions London Dispersion Forces Dipoledipole and/or London Dispersion Forces Ionic Delocalized Directional Covalent Covalent Ionic Solids Variation in the relative strengths of these four types of interactions correlates with their wide variation in properties of these four kinds of solids. 25 Metallic Solids Bonding Models for Metals Bonding in metallic solids is quite different from the bonding in the other kinds of solids… the valence electrons are delocalized throughout crystal,and providing Remember, metals conduct heat and electricity, arethe malleable ductile, and have a strong cohesive that holds atoms together These force facts indicate thatthe the metal bonding in most metals(delocalized is both strong and nondirection covalent bonding) separate atoms, but easy to move them provided they stay in contact with each othe Electron Sea Mode metals in a “sea” o A metals pictured a Band (Molecular Electrons assumed metal crystal in valence atomic orbi • Strength of metallic bonds varies dramatically • Metallic bonds tend to be weakest for elements that have nearly empty or nearly full valence shells, and are strongest for elements with half-filled valence shells Intermolecular Forces, Liquids & Solids 26 Metallic Solids (cont.) General Properties and Notes: • Packing efficiency in metallic crystals tends to be high, so metallic solids are dense, with each atom having as many as 12 nearest neighbors • Every lattice point in a pure metallic element is occupied by an atom of the same metal • Reflect light, called luster • Have high electrical and thermal conductivity • Have high heat capacity • Are malleable and ductile • High density • Melting points depend strongly on electron configuration 27 Metallic Solids (cont.) An alloy is a mixture of metals with metallic properties that differ from those of its constituent elements. Most metallic substances are alloys, and the composition of most alloys varies over wide ranges. Substitutional alloys are metallic solids that contain large numbers of substitutional impurities and can be formed by substituting one metal atom for another of similar size in the lattice. Interstitial alloys are metallic solids that contain small numbers of interstitial impurities and can be formed by inserting smaller atoms into holes in the metal lattice. 28 Network (Covalent) Atomic Solids λ Formed by networks or chains of atoms held together by covalent bonds, tend to be very hard and have high melting points, not easily deformed, brittle, poor conductors of heat and electricity, low density, dull surface co Pl in ho at di iro Network Atomic Network Examples: Diamond vs. Graphite • Diamond: hard, colorless, insulator, bonds with neighbors in a tetrahedral 3D geometry (sp3 hybridization, 109.5º bond angles) • Graphite: slippery, black, conductor, layers of C atoms fused in six-membered rings (graphene) with weak bonding in the 3rd dimension (sp2 hybridization, 120º bond angles, unhybridized p-orbital forms πbonds and accounts for electrical conductivity) Composed Atomic S molecule” Composed diamondofb molecule”. B weak bond diamond bond weak bonding o o o o o 29 Molecular Solids Consist of molecules held together by dipole-dipole interactions, London dispersion forces, or hydrogen bonds • Intermolecular interactions in a molecular solid are relatively weak compared with ionic and covalent bonds • Tend to be soft, low melting, and easily vaporized • For similar substances, the strength of the London dispersion forces increases smoothly with increasing molecular mass • Usually poor conductors of heat and electricity • Low density • Dull surface 30 Ionic Solids Consist of positively and negatively charged ions held together by electrostatic forces • Strength of the attractive forces depends on the charge and size of the ions that make up the lattice and determines many of the physical properties of the crystal • Lattice energy, is directly proportional to the product of the ionic charges and inversely proportional to the sum of the sizes of the ions • Poor conductors of heat and electricity • High melting points • Hard but brittle; shatter under stress • Dense with a dull surface 31 Metallic Bonding: Band Theory Band Theory: An approach to metallic bonding based on MO Theory, assumes that the valence orbitals of the atoms in a solid interact, generating a set of molecular orbitals that extend throughout the solid • Imagine a linear arrangement of n metal atoms, with an ns1 orbital (Li) • Orbital overlap LCAO bonding and antibonding molecular orbitals • Energy separation between adjacent orbitals decreases as the number of interacting orbitals increases continuum of energy levels corresponding to a particular molecular orbital extending throughout the metal atoms (energy band) 32 Band Theory (cont.) For a one-dimensional system, band contains n energy levels corresponding to the LCAO of s orbitals from n metal atoms • Valence electrons occupy the lowest energy levels, only the lower half of the band is filled (the bonding molecular orbitals) valence band • Unfilled band (antibonding molecular orbitals) conduction band In two- or three-dimensional systems with atoms that contain electrons in p and d orbitals, the resulting energy-level diagrams are essentially the same. Each band will have a different bandwidth and will be centered at a different energy, corresponding to the energy of the parent atomic orbital of an isolated atom. Energy difference between the valence band and conduction band is called the band gap conductor, semiconductor, insulator 33 Examples: Solids Classify each of the following substances according to the type of solid it forms: a) Gold, Au b) Carbon Dioxide, CO2 c) Lithium Fluoride, LiF d) Argon, Ar Atomic Solids Lattice Points IMFs Metallic Network Group 8A Molecular Solids Metal Atoms Nonmetal Atoms Group 8A Atoms Discrete Molecules Ions London Dispersion Forces Dipoledipole and/or London Dispersion Forces Ionic Delocalized Directional Covalent Covalent Ionic Solids 34 Examples: Solids (answers) Classify each of the following substances according to the type of solid it forms: a) Gold, Au b) Carbon Dioxide, CO2 c) Lithium Fluoride, LiF d) Argon, Ar atomic solid – metallic molecular solid binary ionic solid atomic solid – group 8, very weak IMFs Atomic Solids Lattice Points IMFs Metallic Network Group 8A Molecular Solids Metal Atoms Nonmetal Atoms Group 8A Atoms Discrete Molecules Ions London Dispersion Forces Dipoledipole and/or London Dispersion Forces Ionic Delocalized Directional Covalent Covalent Ionic Solids 35 id lauqenu morf esira secrof esehT .)sFM I( sec rof ra luce lom retn i sa ot derrefer era eluce p degrahc yletisoppo neewteb noitcartta citatsortcele eht dna elucelom eht ni snortcele eh sag fo roivaheb laedinon eht gnissucsid nehw reilrae sFMI eht detisiv ylfeirb eW .seluce .meht nihtiw TON selucelom eht gnoma segnahc gnisuac yb etats fo segnahc esuac se etubirtta eb nac .cte ,serusserp ropav ,stniop gniliob ,stniop gnitlem sa hcus seitreporp lacis Physical States & IMFs retni eht fo htgn celomIMFs aluFlow artta rto eb tneserp snoitcAbility I .selucelom neewtCompressibility skrow& tVolume siht ekilShape ol eht :State rekaew eht ,)tniop gnitlem ro erusserp ropav ro( tniop gni i ehtshape etnown alucelomrits ht ;snoitcartta rMaintains Solid ht ,tniop gniliob gnorts eStrong i eht renone celomretnAlmost tta ralunone ,elpmaxe roF .snoitcarAlmost sagvolume setaropave eniloand artta ralucelomretni eht ,eroferehT .retaw naht ylkciuq e f evitcof h taht sectoroshape enilosag eno dloConforms hcum era rehton ht naht rekaew Moderate fo secrof eModerate arttalow taht noitcVery no dlohlimited om retaw evolume t elucelcontainer, ehtona oLiquid i eht fo tsegnorts eht yb rehtegot dleh era selucelom retaw ,tcaf nI .eluce tnsurface rtta ralucelomreby noitcartta fo secrof tsuj era yeht—sdnob eurt ton era sdnob negordyH .sdnob negordyh ,se Conforms to shape and High negordyh a nee eno no mota Weak eht dna elucelom nortcele derahsnuHigh lf no riaofp container ,enirouvolume negyxoGas edoc citeneg ruo pu ekam taht AND fo sdnarts ehT .elucelom gnirobhgien a fo smota neg .noitcartta ralucelomretni fo epyt siht yb reht 36 y rtsimehC *PA SECROFCloser RA LUC E L O M R E T N I Look: Liquids SD I LOS & SD IUQ I L Notes About Liquids: ona ot elucelom eno dloh taht secrof ehT .rettam esnednoc taht secrof e ubirtsid la•uqMolecules enu moinrfliquids esiraare severy crofclose esetogether, hT .)swith FMessentially I( sec rofnora luce lom retn empty space between them. noitrop degrahc yletisoppo neewteb noitcartta citatsortcele eht dna elu T .sesag• foMolecules roivaheinbliquids laediare noinn constant eht gnmotion, issucsiand d ntheir ehwkinetic reilrae sFMI eht d energy their temperature. .m eht n(and ihtihence w TO N sspeed) elucedepends lom ehont gtheir nom a segnahc gnisuac yb ht ot detub• irProperties tta eb naofc liquids .cte ,scan erubessexplained erp ropusing av ,satnmodified iop gnversion iliob ,of stniop gnitle the kinetic molecular theory. 37 Characteristic Properties of Liquids Density molecules are packed relatively close together, similar packing to the same material in the solid state, measured in g cm–3 = g mL–1 Mol. Order high KE of molecules, but arrangement of molecules is not completely random shortrange order due to strong IMFs Compressibility cannot be readily compressed because there is very little empty space between the molecules Therm. Exp. IMFs are strong enough to prevent significant expansion upon heating Fluidity liquids adjust to the shape of their container Diffusion molecules diffuse, they are in constant motion 38 Unique Properties of Liquids There are three unique properties of liquids that depends intimately on the nature of intermolecular interactions… Surface Tension: the energy required to increase the surface area of a liquid by a specific amount, measured in energy per unit area (J m–2) Stronger IMFs higher the surface tension Surfactants are molecules such as soap and detergents that reduce the surface tension of polar liquids like water by disrupting the intermolecular attractions between adjacent molecules 39 Unique Properties of Liquids Capillary Action: tendency of a polar liquid to rise against gravity into a small-diameter glass tube (a capillary tube) Net result of two opposing sets of forces: cohesive forces, which are the intermolecular forces that hold the liquid together, and adhesive forces, which are the attractive forces between the liquid and the substance that makes up the capillary (Ex: glass). • adhesive > cohesive forces, the liquid in the capillary rises to the level where the downward force of gravity balances the upward force. • adhesive < cohesive forces, the liquid is pulled down into the capillary below the surface of the bulk liquid. • meniscus, shape depends on the relative strengths of the cohesive and adhesive forces. 40 Unique Properties of Liquids Viscosity: resistance of a liquid to flow, liquids that have strong intermolecular forces have high viscosities Evaluation of viscosity (1) measure the time it takes a quantity of liquid to flow through a narrow vertical tube, (2) measure the time it takes steel balls to fall through a given volume of the liquid. Viscosity and molecular shape: liquids consisting of long, flexible molecules tend to have higher viscosities than those composed of more spherical or shorter-chain molecules. Viscosity and temperature: decreases rapidly with increasing T because the kinetic energy of the molecules increases, higher kinetic energy enables the molecules to overcome the attractive forces that prevent the liquid from flowing. 41 Vapor Pressure of Liquids When the liquid is heated, its molecules obtain sufficient kinetic energy to overcome the IMFs holding them in the liquid phase and they escape into the gaseous phase. The result of this phenomenon is that the molecules from the liquid phase generate a population of molecules in the vapor phase above the liquid that produces a pressure called the vapor pressure of the liquid. only molecules with KE > E0 can escape to vapor phase increasing T increased KE # of molecules with KE > E0 increases with increasing T Note: only mol. at surface 42 Vapor Pressure of Liquids Only molecules at the surface can undergo evaporation, or vaporization, where atoms or molecules gain sufficient energy to enter a gaseous state, thereby creating a vapor pressure. A fraction of the molecules in the vapor phase will collide with the surface of the liquid and reenter the liquid phase (condensation) # mol. in the vapor phase increases # collisions increases Steady state will be reached where # mol. vaporized = # mol. condensing 43 Equilibrium Vapor Phase Volatile liquids have high vapor pressures (higher than water) and tend to evaporate readily; nonvolatile liquids have low vapor pressures (lower than water) and evaporate more slowly. Two opposing processes (such as evaporation and condensation) that occur at the same rate, thus producing no net change in the system, constitute a dynamic equilibrium pressure exerted by a vapor in dynamic equilibrium with a liquid is the equilibrium vapor pressure Equilibrium vapor pressure of a substance at a particular temperature is a characteristic of the material Does not depend on the amount of liquid Depends strongly on the temperature and IMFs 44 Equilibrium Vapor Phase Temperature dependence is strong because the vapor pressure depends on the fraction of molecules that have a kinetic energy higher than that needed to escape from the liquid Can use logarithms to express the non-linear relationship between vapor pressure and temperature as a linear relationship Clausius–Clapeyron Equation 45 Equilibrium Vapor Phase Clausius–Clapeyron Equation can be used to calculate the enthalpy of vaporization of a liquid from its measured vapor pressure at two or more temperatures –DH vap æ 1 ö ln P = ç ÷+C R èT ø linear relationship P = vapor pressure ΔHvap = enthalpy of vaporization R = gas constant (8.314 J mol–1 K–1) T = temperature in K C = y-intercept, constant Calculating the enthalpy of vaporization: æ P2 ö –DH vap æ 1 1 ö ln ç ÷ = ç - ÷ R è T2 T1 ø è P1 ø 46 Vapor Pressure Boiling Point As the temperature of a liquid increases, the vapor pressure of the liquid increases until it equals the external pressure, or the atmospheric pressure. Bubbles of vapor begin to form throughout the liquid, and the liquid begins to boil Temperature at which a liquid boils at exactly 1 atm pressure is the normal boiling point of the liquid. 47
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