Liquids and Solids Ch 10.2,10.3 & 10.4 Pg. 353 # 4, 5, 7, 8, 10-14,17, 20-22, 27, 28, 33 Liquids exist in the smallest temperature range, so liquids are the least common state of matter . . . Kinetic Theory Description of the Liquid State According to the kinetic theory, motion of liquid particles can be described as . . . Properties of Liquids and the Particles Model – define each property Properties of Fluids Definite Volume Ability to Diffuse Fluidity Surface Tension Relative High Density Tendency to Evaporate and Boil Incompressible Tendency to Solidify Dissolving Ability 13.1 Questions Why are liquids more dense than gases? Molecules are closer together so more molecules in a given area Why are liquids harder to compress than gases? Same as above – molecules are closer Why do liquids diffuse slower than gases? Particles are not moving as fast as gases Can a liquid boil without increasing the temperature? How? Yes – lower the atmospheric pressure 10.3 Solids “Solid as a rock, “ is the description of solid – something that is hard, unyielding, with a definite shape and volume. Many things other than rocks are solids. In fact, solids are more common than liquids. This diagram shows the particles of a gas, liquid and solid. Kinetic-Theory Description of the Solid State According to the kinetic theory, the motion of solid particles can be described as…. Lower kinetic energy, less motion, more packed particles, and higher intermolecular forces (IMF) Properties of Solids and the Particle Model – define each property: Properties of Solids Definite shape and volume Non-fluid Definite melting point High Density Incompressible Slow Diffusion Crystalline Solids Classification of crystals by arrangement and shape Crystal Lattice (define) - The total 3-D array of points that describe the arrangement of the particles – a collection of unit cells. The smallest portion of the crystal lattice that reveals the 3-D pattern of the entire lattices is the unit cell. Binding Forces in Crystals Simple Body-centered (ex. Li, K, Cr) Types of Crystals Face-centered (ex. Cu, Ag, Au) Hexogonal (like oranges in a grocery store); (ex. Zn) Binding forces in crystals Binding Force Lattice consists of Formed When / Binding Force (+) and (-) ion as arranged in regular patterns Group 1/2 metals combine with Group 7/8 nonmetals Covalent network crystals Lattice sites contain single atoms Atoms bond to neighbors, extending through a network, large chains form Metallic crystals (+) ions of the metal surrounded by a cloud of valence electrons Each e- and the (+) metallic ions attract electrostatically Covalently bonded molecules held through IMF For nonpolar molecules, London Forces; For polar molecules, DipoleDipole. Ionic crystals Covalent molecular crystals Amorphous Solids Rubber, glass, plastics and synthetic fibers are called amorphous solids. “Amorphous,” comes from the Greek for “without a shape.” Unlike crystals, amorphous solids do not have a regular, natural shape, but instead take on whatever shape imposed on them. Particle arrangement is not uniform; they are arranged randomly, like particles of a liquid. Examples of amorphous solids – glass used in fiberoptics (optical fibers transmit telephone conversations by means of light waves. Amorphous solids are prepared by rapid cooling of thin film materials. Molecular examples Crystalline vs. Amorphous 10.4 Changes of State Possible Changes of State Change of State Name Example Solid -> Liquid melting ice -> water Solid -> Gas sublimation dry ice -> CO2 gas Liquid -> Solid freezing water to ice Liquid -> Gas vaporization Br(l) -> Br(g) Gas -> Liquid condensation water vapor -> water Equilibrium What does equilibrium mean? It is a dynamic condition in which two opposing changes occur at equal rates in a closed system. What is a closed system? H2O in an open beaker H2O in a closed beaker When a liquid changes to a vapor, as in evaporation, it absorbs heat energy and can be shown as: Open system evaporation – liquid + heat vapor Closed system evaporation – liquid + heat vapor When a vapor condenses, as in condensation, it gives off heat energy and can be shown as: And condensation – vapor liquid + heat The liquid vapor equilibrium can be rewritten as: liquid + heat ↔ vapor “The double yields sign represents a reaction at equilibrium” Le Chatelier’s Principle What is it? LeChatelier When a system at equilibrium is disturbed by the application of stress, the system reacts to minimize the stress. Is temperature an example of stress? Yes. What happens when you increase the temperature of a system? Equ. shift from heat ↓ liquid + increased heat ---> ↑ vapor Le Chatelier’s Principle What happens when you decrease the temperature of a system? ↓ vapor ---> ↑ liquid + decreased heat What factor is controlling the decrease and increase of vapor and liquid? the temperature (heat) Equilibrium Vapor Pressure of a Liquid What is it? At equilibrium, the molecules of a vapor exert a specific pressure on its corresponding liquid. When equilibrium vapor pressure of water is graphed, (draw figure 14 below): The strength of attractive forces is independent of temperature. Higher temperatures with resultant higher kinetic energies make these forces less effective. Liquid water can exist in equilibrium with water vapor only up to a temperature of 374.1ºC. Later you will learn that neither liquid water nor water vapor can exist at temperatures above 374.1ºC. Water Alcohol Cooking Oil At 80° C 355 torr 760 torr 10 torr At 50° C 92 torr 400 torr 4 torr At 20° C 20 torr 90 torr 1 torr What is equilibrium called when liquid molecules enter into the gaseous state? Vaporization Where does this occur? On the surface of the liquid = evaporation, throughout liquid = boiling Equilibrium vapor pressure depends on: a) temperature and pressure b) boiling point of a liquid (the type of liquid) If a liquid has high intermolecular forces, then what happens to that liquid’s vapor pressure? Why? vapor pressure ↓ high IMFs = increase hold on the molecules Boiling. Freezing. Melting What is boiling? The conversion of a liquid to a vapor, within the liquid as well as its surface when the equilibrium vapor pressure of the liquid is equal to the atmospheric pressure. What is the boiling point? The temperature at which the equilibrium vapor pressure of the liquid is equal to the atmospheric pressure (760 torr). Boiling happens throughout the liquid…evaporation happens on the surface. What is the molar heat of vaporization? The amount of heat energy required to vaporize one mole of liquid at its boiling point. How does a pressure cooker work? It elevates pressure to raise boiling point and shorten cooking time. Freezing and melting What is the freezing? The physical change of a liquid to a solid. What is melting? The physical change of a solid to liquid. What is the molar heat of fusion? The amount of heat energy required to melt one mole of solid at its melting point. solid + heat Liquid liquid solid + heat re-write the equation: solid + heat ↔ liquid heat of fusion Are the freezing points and melting points the same temperature? Yes at 0°C H2O with 6kJ is a liquid at 0°C H2O without 6kJ is a solid Chapter 10 Calculations – not in book Molar heat of Vaporization The amount of heat energy required to vaporize one mole of liquid at its boiling point. Joules are the standard unit to measure heat energy. Molar heat of vaporization for water is 40.79 kJ/mole. 2.2 – Heat and Temperature – there is a difference • Heat transfers between objects – flows from hot to cold - Law of Conservation of Energy • • Ex1:ice cube in a thermos of hot water - ice melts, water cools - same amount of heat • SI unit of heat - Joule (J) calorie is also used frequently • Calorie - the amount of energy required to raise the temperature of 1 g of water by 1 oC • (Calories – capital letter – really means kilocalories – used in food energy measurement) Specific Heat Problems • For water, Cp = 1.000 cal/g oC or 4.184 J/g oC for water • Ex1: How many calories does it take to heat 20. g of water from 10.0 to 40.0 oC? Also how many J? • Ex2: How much heat is required to heat 75 g of Iron (Cp = 0.444 J/gCo) from 15.5 to 57.0 oC? Specific Heat Problems Ex3: What is the specific heat of an object if 250 calories will heat 55 g of it from 25 to 100.0 oC? Ex4: - If a 100.0 g sample of silver (Cp = .237 J/g oC) at 80.0 Co loses 50. calories, what will its final temperature be? Not In Book • • • NIB: It also takes energy to melt or boil any substance. The amount of energy required to melt or boil a substance can be expressed by the following equations: ΔH = nΔHfusion ΔH = change in energy (J) n = number of moles ΔH = nΔHvaporization ΔHfusion = the molar heat of fusion (kJ/mol) ΔHvaporization = the molar heat of vaporization (kJ/mol) • ΔHfusion and ΔHfusion are constants and correspond to the amount of energy it takes to freeze (fuse) or boil (vaporize) one mole of a substance. • When doing heat calculations that involve both a change of state and a change in temperature, make sure the answers for both calculations are written in the same units before adding them together! Ex1: How much heat energy would be required to vaporize 5.00 moles of H2O q = ΔHvap·(mol) = 40.79 kJ/mol · 5.00 mol = 204 kJ or 204,000 J Ex2: to vaporize 45.0g of H2O q = ΔHvap·(mol) 45.0g ·1mol = 40.79 kJ/mol (2.50 mol) 1 18.0g = 102 kJ or 102,000 J when....a liquid evaporates, it absorbs energy. Energy is used to overcome attractive forces. The energy doesn’t increase the average energy of the particles, so the temperature doesn’t change. when...a liquid evaporates, it takes energy from its surroundings that’s why alcohol feels cool to the skin. it’s also why we get cold when getting out of the shower Heat of vaporization - Hvap - energy needed to vaporize a unit of substance (mass or moles) Formula: q = (H vap ) x ( unit ) unit = gram or mole Ex3 - How much heat does it take to vaporize 50.0 g of water at 100.0 °C 50.0g · 1mol = 2.78 mol 1 18.0g q = (H vap ) x ( unit ) = 40.79 (2.78) = 113 kJ Molar Heat of Fusion The amount of heat energy required to melt one mole of a solid at its melting point. The molar heat of fusion of water is 6.008 kJ/mole. Ex1: How much energy would be required to melt 12.75 moles of ice? q = ΔHfus·(mol) = 6.008 kJ/mol ·(12.75 mol) = 76.60 kJ Ex2: to melt 6.48 x 1020 kg of ice? 6.48x1020kg · 1000 g = 6.48x1023 g 1 1kg 6.48x1023 g · 1mol = 3.6x1022 mol 1 18.0g 6.008kJ/mol(3.6x1022 mol) = 2.16x1023 kJ Heat of Fusion - Hfus = heat of fusion - heat required to change a unit of substance from solid to liquid same formula: q = (Hfus) x (unit) unit = g or mole Ex3: - How much ice can be melted by 2.9 x 104 J? 2.9x104J · 1kJ = 29kJ 1 1000J q = (Hfus) x (mol) 29 kJ = 6.008 kJ/mol x (mol) = 4.8 mol ice Temperature and Phase Changes