* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Energy
Survey
Document related concepts
Thermodynamics wikipedia , lookup
Chemical equilibrium wikipedia , lookup
Rutherford backscattering spectrometry wikipedia , lookup
Heat transfer wikipedia , lookup
Stoichiometry wikipedia , lookup
Electrolysis of water wikipedia , lookup
Marcus theory wikipedia , lookup
Internal energy wikipedia , lookup
Photosynthetic reaction centre wikipedia , lookup
George S. Hammond wikipedia , lookup
Bioorthogonal chemistry wikipedia , lookup
Chemical thermodynamics wikipedia , lookup
Transcript
a. b. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 1 TWO Trends in Nature • Order Disorder • High energy Low energy Energy The capacity to do work or to produce heat. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 3 Law of Conservation of Energy Energy can be converted from one form to another but can neither be created nor destroyed. (Euniverse is constant) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 4 The Two Types of Energy Potential: due to position or composition can be converted to work Kinetic: due to motion of the object KE = 1/2 mv2 (m = mass, v = velocity) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 5 (a) In the initial positions, ball A has a higher potential energy than ball B. (b) After A has rolled down the hill, the potential energy lost by A has been converted to what other forms? Frictional heating Of the hill Increase PE of Ball B Temperature v. Heat Temperature reflects random motions of particles, therefore related to kinetic energy of the system. Heat involves a transfer of energy between 2 objects due to a temperature difference Copyright©2000 by Houghton Mifflin Company. All rights reserved. 7 Due to motion, or thermal energy of particles. Energy will move spontaneously from high to low concentration. This infrared photo of a house shows where energy leaks occur. The more red the color, the more energy (heat) is leaving the house. Work: force acting over a distance Ball A does work on Ball B What is the hill is bumpy and ball A comes to a rest before hitting ball B? No work done. Only transfer of HEAT through frictional heating Thus… there are two ways to transfer energy work (generally movement) and heat (generally chemical reactions/particles) 9 The way the energy transfer is divided between work and heat depends on .. Pathway If all energy goes to friction in the hill and Ball B does not move…. no work is done. Therefore, Work and heat are pathway dependent 10 HOWEVER,…….Regardless of the pathway the actual energy change remains constant. Total energy transfer is independent of the pathway Energy is a state function. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 11 State Function (state property) Depends only on the present state of the system - not how it arrived there. It is independent of pathway. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 12 Chemical Energy • Same applies for chemical systems Example: CH4 + 2O2 CO2 + H2O + energy Actual reaction may follow different modes of changes (different intermediate steps) but net change in Energy is the same. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 13 System and Surroundings System: chemical reaction Surroundings: Everything else in the universe Universe = System + Surroundings Copyright©2000 by Houghton Mifflin Company. All rights reserved. 14 Exo and Endothermic Heat exchange accompanies chemical reactions. Exothermic: Heat flows out of the system (to the surroundings). [product] usually represent as Reactant Products + ∆. Indicates output of energy Endothermic: Heat flows into the system (from the surroundings). [reactant] usually represent as ∆ Reacants Products. Indicates input of energy Copyright©2000 by Houghton Mifflin Company. All rights reserved. 15 Figure 6.2: The combustion of methane releases the quantity of energy change ∆(PE) to the surroundings via heat flow. This is an exothermic process. 16 Figure 6.3: The energy diagram for the reaction of nitrogen and oxygen to form nitric oxide. This is an endothermic process: Heat {equal in magnitude to ∆(PE)} flows into the system from the surroundings. 17 Concept Check Classify each process as exothermic or endothermic. Explain. The system is underlined in each example. Exo a) Endo b) Endo c) Exo d) Endo e) Your hand gets cold when you touch ice. The ice gets warmer when you touch it. Water boils in a kettle being heated on a stove. Water vapor condenses on a cold pipe. Ice cream melts. 18 Law of Conservation of Energy is also called: First Law of Thermodynamics: Which states that the energy of the universe is constant. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 19 First Law E = q + w E = change in system’s internal energy q = heat w = work Copyright©2000 by Houghton Mifflin Company. All rights reserved. 20 Exothermic versus endothermic. Endothermic * products have Higher PE Exothermic * reactants have Higher PE (Higher PE = weaker bonds) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 21 First Law cont. Sign is the direction of the flow. (system point of view) q = + endothermic system E increase q = - exothermic system E decrease Copyright©2000 by Houghton Mifflin Company. All rights reserved. 22 Also applies to work.. System does work on surroundings: w is – Surroundings do work on system: w is + Copyright©2000 by Houghton Mifflin Company. All rights reserved. 23 JOULE • SI unit for energy: kg m J 2 s 2 Internal energy Copyright©2000 by Houghton Mifflin Company. All rights reserved. 24 Common type of work in chemistry • Done by a gas (through expansion) • Done to a gas (through compression) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 25 How does a car engine work? • Combustion results in production of a gas: • expansion in cylinder: Endo or exothermic • pushes piston: q (– or +) (∆E to surroundings) • motion of car: w (- or +) (work done to surr.) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 26 Figure 6.4: (a) The piston, moving a distance ∆h against a pressure P, does work on the surroundings. (b) Since the volume of a cylinder is the area of the base times its height, the change in volume of the gas is given by ∆h x A = ∆ V. F P A Force per unit area Work is a force applied over a distance. Work= force x distance = F x Δh F SINCE P , A F=PxA Work = P x A x Δh ΔV = final V – initial (piston moving) 28 Since V = (A x ∆h) (area of the piston x height) ∆V = Vfinal - Vinitial = A x ∆h substitute into work: Work = P x (A x Δ h) = PΔV For a gas expanding w is (-) due to work flowing out of the system. W = -P ΔV 29 PV Work • Calculate the work associated with the expansion of a gas from 46.L to 64 L at a constant external pressure of 15atm. For a gas at constant P, w= -P∆V 30 P = 15 atm And ∆V = 46-64 = -18 L W = 15atm x (-18 L) = -270 L∙atm 31 Just a note… • For an ideal gas, work can occur ONLY when its V changes. Thus, if a gas is heated at constant volume, the pressure increases but no work occurs. 32 A balloon is being inflated to its full extent by heating the air inside it. In the final stages of this process, the volume of the balloon changes form 4.00 x 106 L to 4.50 x 106 L by the addition of 1.3 x 108 J of energy as heat. Assuming that the balloon expands against a constant pressure of 1.0 atm, calculate ∆E for the process (1L atm = 101.3 J) 8 x 107 J 33 Enthalpy, H •What is Enthalpy? –a thermodynamic quantity equivalent to the total heat content of a system. –equal to the internal energy of the system plus the product of pressure and volume. •Enthalpy = H = E + PV –Since it’s rather difficult to measure heat content directly, we are more interested in the change in Enthalpy or ΔH –State function Copyright©2000 by Houghton Mifflin Company. All rights reserved. 34 Determining Enthalpy Recall: At constant pressure, the only work allowed is PV qP = defined as heat at constant pressure, and is calculated from E = qP + w = qP PV qP = E + PV= H Therefore, H = energy flow as heat (at constant pressure) **Heat of reaction and change in enthalpy are interchangeable** 35 Enthalpy (H) is used to quantify the heat flow into (or out of) a system in a process that occurs at constant pressure. H = H (products) – H (reactants) H = heat given off or absorbed during a reaction at constant pressure Hproducts < Hreactants H < 0 exotherm Hproducts > Hreactants H > 0 endotherm6.4 Hess’s Law Enthalpy (state function) Reactants Products The change in enthalpy is the same whether the reaction takes place in one step or a series of steps. 37 Figure 6.7: The principle of Hess's law. The same change in enthalpy occurs when nitrogen and oxygen react to form nitrogen dioxide, regardless of whether the reaction occurs in one (red) or two (blue) steps. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 38 Oxidation of N2 to produce NO2 N2(g) + 2O2(g) 2NO2(g) ΔH1=68kJ N2(g) + O2(g) 2NO(g) + O2(g) N2(g) + 2O2(g) Or.. 2NO (g) 2NO2(g) 2NO2(g) ΔH2=180kJ ΔH3=-112kJ ΔH=68kJ 39 Calculations via Hess’s Law 1. If a reaction is reversed, H is also reversed. N2(g) + O2(g) 2NO(g) 2NO(g) N2(g) + O2(g) 2. H = 180 kJ H = 180 kJ If the coefficients of a reaction are multiplied by an integer, H is multiplied by that same integer. 6NO(g) 3N2(g) + 3O2(g) H = 540 kJ 40 3. Fractional equations **Coefficients do not have to be whole numbers, as long as ALL values are adjusted appropriately Example: Determine enthalpy change if half mole of nitrogen monoxide gas is produced, given the equation: N2(g) + O2(g) 2NO(g) H = 180 kJ 0.25 N2(g) + 0.25 O2(g) 0.50 NO(g) H = 45 kJ Two forms of carbon are graphite, the soft, black, slippery material used in “lead” pencils and as a lubricant for locks, and diamond, the brilliant, hard gemstone. Using the enthalpies of combustion for graphite (-394 kJ/mol) and diamond (-396kJ/mol), calculate ∆H for the conversion of graphite to diamond: Cgraphite(s) Cdiamond(s) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 42 Cgraphite(s) Cdiamond(s) Cgraphite(s) +O2 (g) CO2 (g) Cdiamond(s) + O2 (g) CO2 (g) ∆H=-394 kJ ∆H=-396 kJ Cgraphite(s) +O2 (g) CO2 (g) ∆H=-394 kJ CO2 Cdiamond(s) + O2 (g) ∆H=-(-396 kJ) Cgraphite(s) Cdiamond(s) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 43 Diborane (B2H6) is a highly reactive boron hydride, which was once considered as a possible rocket fuel for the US space program. Calculate ∆H for the synthesis of diborane from its elements, according to the equation 2B(s) + 3H2 (g) B2H6(g) Using the following data: Reactions: 2B(s) + 3/2 O2(g) B2H6(g) + 3O2(g) H2(g) + 1/2O2(g) H2O(l) B2O3(s) B2O3(s) + 3H2O(g) H2O(l) H2O(g) Copyright©2000 by Houghton Mifflin Company. All rights reserved. ΔH ΔH ΔH ΔH -1273 kJ -2035 kJ -286 kJ 44kJ 44 Hess’s Law Enthalpy (state function) Reactants Products The change in enthalpy is the same whether the reaction takes place in one step or a series of steps. 45 Oxidation of N2 to produce NO2 ΔH1=68kJ N2(g) + 2O2(g) Or.. 2NO2(g) N2(g) + 2O2(g) 2NO(g) + O2(g) 2NO (g) ΔH2=180kJ 2NO2(g) ΔH3=-112kJ N2(g) + 2O2(g) 2NO2(g) ΔH=68kJ 46 Figure 6.7: The principle of Hess's law. The same change in enthalpy occurs when nitrogen and oxygen react to form nitrogen dioxide, regardless of whether the reaction occurs in one (red) or two (blue) steps. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 47 Calculations via Hess’s Law 1. If a reaction is reversed, H is also reversed. N2(g) + O2(g) 2NO(g) 2NO(g) N2(g) + O2(g) 2. H = 180 kJ H = 180 kJ If the coefficients of a reaction are multiplied by an integer, H is multiplied by that same integer. 6NO(g) 3N2(g) + 3O2(g) H = 540 kJ 48 Two forms of carbon are graphite, the soft, black, slippery material used in “lead” pencils and as a lubricant for locks, and diamond, the brilliant, hard gemstone. Using the enthalpies of combustion for graphite (-394 kJ/mol) and diamond (396kJ/mol), calculate ∆H for the conversion of graphite to diamond: Cgraphite(s) Cdiamond(s) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 49 Cgraphite(s) Cdiamond(s) Cgraphite(s) +O2 (g) CO2 (g) Cdiamond(s) + O2 (g) CO2 (g) ∆H=-394 kJ ∆H=-396 kJ Cgraphite(s) +O2 (g) CO2 (g) ∆H=-394 kJ CO2 Cdiamond(s) + O2 (g) ∆H=-(-396 kJ) Cgraphite(s) Cdiamond(s) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 50 Diborane (B2H6) is a highly reactive boron hydride, which was once considered as a possible rocket fuel for the US space program. Calculate ∆H for the synthesis of diborane from its elements, according to the equation 2B(s) + 3H2 (g) B2H6(g) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 51 3 2B(s) O 2 (g) B2 O3 (g) 1273kJ 2 B2 H 6 (g) 3O 2 (g) B2 O3 (g) 3H 2 O(g) 2035kJ 1 H 2 (g) O 2 (g) H 2 O(l) 286kJ 2 H 2 O(g) H 2 O(l) 44kJ Copyright©2000 by Houghton Mifflin Company. All rights reserved. 52 Standard Enthalpy of Formation • Defined as the CHANGE IN ENTHALPY associated with the FORMATION of ONE MOLE of a COMPOUND from its COMPONENT ELEMENTS with ALL substances in their STANDARD STATES. – Symbol: ΔHof, where the degree o symbol indicates that all substances are in their STANDARD STATES, and subscript f indicates “formation” – Examples: • 1/2 N2(g) + O2(g) NO2(g) • C(s) + 2H2(g) + 1/2 O2(g) CH3OH(l) ΔHof ΔHof = 34 kJ/mol = -239 kJ/mol **Manipulate equation in such as way to form EXACTLY 1 mol product only • Standard Enthalpy of Formation of elements is ALWAYS ZERO “0”. WHY? – because elements are NOT formed through chemical reactions. • Sometimes difficult to determine directly. – Example: Formation of DIAMOND from graphite. ΔHof CANNOT be obtained directly. Process is too slow. • ΔHof can be obtained from OTHER KNOWN processes, such as ENTHALPY OF COMBUSTION – **unlike standard Enthalpy of Formation, Enthalpy of Combustion is given for EXACTLY 1 mol of the substance combusting. » WHY? » Combustion products are variable. How can you keep track of which one to count/measure. Easier to consider substance actually undergoing combustion. Factors to Consider • Conventional Definitions of Standard States – For a Compound • The standard state of a gaseous substance (ex: NO2) is a pressure of exactly 1 ATMOSPHERE • For a pure substance in a condensed state (liquid or solid), the standard state is the PURE LIQUID OR SOLID . • For a substance present in solution, the standard state is a CONCENTRATION OF EXACTLY 1M – For an Element • The standard state of an element is the form in which the element exists under condition of 1 ATM AND 25oC. – Ex: Standard state of Oxygen: O2(g) at a pressure of 1 ATM and 25oC – Ex: Standard state of Sodium: Na(s) – Ex: Standard state of Mercury: Hg(l) • Rules to Follow – When a reaction is reversed, the magnitude of ΔH remains the SAME, but its SIGN CHANGES – When the balanced equation for a reaction is multiplied by an integer (or fraction), the value of ΔH for that reaction MUST ALSO BE MULTIPLIED by the SAME FACTOR – The change in enthalpy for a given reaction can be calculated from the enthalpies of formation of the reactants and products • ΔHorxn = Σ np ΔHof (products) - Σ nr ΔHof (reactants) where n is # moles – Elements in their standards states are NOT INCLUDED in the ΔHoreaction calculations, because ΔHof for an element in its standard state is ZERO. Example 1: Determine the standard enthalpy of reaction for the combustion of methane Pathway for combustion of methane. CH4(g) + 2O2(g) CO2(g) + 2H2O(l) Reactants are first taken apart in (a) and (b) then used to assemble the products in reactions (c) and (d). 57 Figure 6.9: A schematic diagram of the energy changes for the reaction CH4(g) + 2O2(g) CO2(g) + 2H2O(l). Reverse of the formation 58 Althernately, apply the equation for change of enthalpy given the standard enthalpy of formation of each substance, given CH4(g) + 2O2(g) CO2(g) + 2H2O(l). (a) formation of CH4 (b) Formation of O2 (c) formation of CO2 (d) formation of H2O(l) ΔHorxn ΔHorxn = ΔHof = -75kJ/mol ΔHºf = 0 (b/c already an element) ΔHºf = -394kJ/mol ΔHºf = -286kJ/mol Σ np ΔHof (products) - Σ nr ΔHof (reactants) where n is # moles = (1 mol CO2(-394 kJ/mol) + 2 mol H2O(-286 kJ/mol)) – (1 mol CH4(-75 kJ/mol ) + 2 mol O2(0 kJ/mol)) 59 NOTE: reverse sign for methane, use 2 moles water, note water (g) vs. (l) • Example 2: Using a standard enthalpy of formation reference table, determine the standard enthalpy change for the overall reaction that occurs when ammonia is burned in air to form nitrogen dioxide and water. This is the first step in the formation of nitric acid • Using enthalpies of formation, determine the standard change in enthalpy for the thermite reacation, which occurs when a mixture of powdered aluminum and iron III oxide is ignited with a magnesium fuse. • Methanol (CH3OH) is often used as a fuel in high performance engines in race cards. Use your reference table to compare the standard enthalpy of combustion per gram of methanol with the combustion per gram of gasoline. Gasoline is actually a mixture of compounds, but assume for this problem that gasoline is a pure substance (C8H18) Specific Heat Capacity • Specific Heat Capacity, c – Amount of energy required to raise the temperature of 1 g of a substance by 1 oC • Unique value/intrinsic property • Translation: – Transfer of identical amounts of energy to equal masses of two different substances will NOT result in the same temperature change of the samples. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 62 63 Calculating energy transfer, q • Amount of energy transferred, q, is related to temperature change ∆T by the following equation, where c = specific heat capacity q = m c ∆T Copyright©2000 by Houghton Mifflin Company. All rights reserved. 64 Terms to Know – C = Heat capacity • is the heat capacity of a given sample of a substance • Units: J/oC or J/oK – c = specific heat capacity • Heat capacity per gram of substance • Units: J/oC·g or J/oK·g – Molar heat capactiy • Heat capacity per mole of substance • J/oC·mol or J/oK·mol Copyright©2000 by Houghton Mifflin Company. All rights reserved. 65 Practice Problems • Determine the amount of energy required to change the temperature of a 50.0 g sample of water from 25.0 oC to 94.0 oC, given the specific heat capacity of water is 4.184 J/g·oC • Given that the combustion of methane is an exothermic reaction with ΔHcomb CH4 = -891 kJ/mol and assuming 100% efficiency, determine the final temperature of a 50.0 g sample of water, originally at 28oC, if 8.00 g methane undergoes complete combustion. Copyright©2000 by Houghton 66 Mifflin Company. All rights reserved. Heating and Cooling Curves • Explain energy transitions of a given substance from one phase to another when pressure is kept constant and energy is added or removed. – temperature is changed, – phase is changed OR Copyright©2000 by Houghton Mifflin Company. All rights reserved. 67 • Starting with a solid below its melting point, the following effects can be observed, when energy is added 1. The temperature of solid increases at a constant rate until it begins to melt (melting point) 2. When melting begins, the temperature is constant until solid has all turned to liquid 3. The temperature of the liquid increases at a constant rate until it begins to boil (boiling point) 4. When boiling begins, the temperature is constant until the liquid is all turned to gas 5. The temperature of the gas increases at a constant rate. • In summary, energy is being used to change the temperature but not the phase, or it is being used to change the phase but not the temperature. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 68 Heating Curve Copyright©2000 by Houghton Mifflin Company. All rights reserved. • In the regions where the temp of the solid, liquid or gas is being increased, amount of energy added is, q = m c ∆T where, q = energy, m = mass, c = specific heat capacity of the substance and ∆T = change in temperature **BE CAREFUL, c is generally different for solids, liquids and gases • Where the solid is melting, the amount of energy being added is q = (∆Hfusion)(moles) where ∆Hfusion is the molar enthalpy of fusion and is the energy absorbed when 1 mole of a solid melts • Where the liquid is vaporizing, the amount of energy being added is q = (∆Hvaporization)(moles) where ∆Hvaporization is the molar enthalpy of vaporization and is the energy absorbed when 1 mole of a liquid vaporizes Cooling Curve • A cooling curve shows the same processes as a heating curve, only in reverse, where the energy is released, rather than absorbed. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 71 Calorimetry • Experimental technique used to measure energy changes in a chemical system. • Process involves – Chemical reaction (or a phase change) – Thermal contact with heat bath (usually water) • Heat capacity of the heat bath must be known. – Ideally no heat loss or gain with the universe • Only heat transfer is between system (reaction/phase change) and surrounding (heat bath) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 72 • As the chemical reaction (or phase change) takes place – Energy is transferred between reaction/phase change and heat bath – Since specific heat capacity of heat bath is known, we can calculate amount of energy transferred (gained or lost) by applying q = m c ∆T • If temperature of heat bath goes up, the chemical reaction (or phase change) must have released energy (i.e, the reaction was exothermic). • If the temperature of heat bath goes down, the chemical reaction (or phase change) must have absorbed energy (i.e. the reaction was endothermic) Therefore, for exothermic reaction - q (energy lost by system) = + q (energy gained by surroundings) -(m c ∆T)system = + (m c ∆T)surroundings OR For an endothermic reaction - q (energy lost by surrounding) = + q (energy gained by system) -(m c ∆T)surroundings = + (m c ∆T)system Copyright©2000 by Houghton Mifflin Company. All rights reserved. 74 • Applying the Law of Conservation of Energy (and assuming that there is no energy losses), we can conclude – Magnitude of the energy lost or gained by the chemical reaction (or phase change, must be equal to the magnitude of the energy gained or lost y the heat bath. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 75 Calorimetry and Hess’s Law • By measuring the energy changes in various reactions, and applying Hess’s Law (the final energy change is a sum total of individual energy changes), we can indirectly determine the energy change associated with a multistep process • Tomorrow’s lab Copyright©2000 by Houghton Mifflin Company. All rights reserved. 76 Born Haber Process • Describes the thermochemistry of ionic bonds – Process of ionic bond formation can be broken down into several stages. – Ex: two possible routes for formation of sodium chloride • Single step process (Enthalpy change = standard enthalpy of formation of NaCl) Na(s) + ½ Cl2(g) NaCl(s) • Recall: standard enthalpy of formation is the enthalpy change when one mole of a substance is formed from its component elements in their standard states. 77 • A multi-step process involving five separate changes 1. Atomization of sodium Na(s) Na(g) ∆Ha(M) = standard enthalpy of atomization is the energy required to form one mole of gaseous atoms from the element under standard conditions (endothermic) 2. Ionization of sodium Na(g) Na+1(g) + e∆Hi(1) = First ionization energy is the energy required to remove one mole electrons from one mole of atoms in the gaseous phase (endothermic) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 78 3. Dissociation of chlorine molecules ½ Cl2(g) Cl(g) ∆Ha(NM) =Also considered as atomization of Chlorine molecules, equal to 1/2 standard bond dissociation energy of chlorine (since only ½ mole Cl2 is required to form 1 mol NaCl The standard enthalpy of bond dissociation is the energy required to dissociate one mole of molecules into atoms. (endothermic) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 79 4. Formation of gaseous choride ions from gaseous chlorine atoms Cl(g) + e Cl-1(g) ∆HEa =The first electron affinity is the enthalpy change when one mole of gaseous atoms gains an electron to form a mole of gaseous ions. (exothermic) 4. Bring together the gaseous ions Na+1(g) Cl-1(g) NaCl(s) ∆HLE =The standard lattice enthalpy is the enthalpy change when one mole of a solid is formed from its constituents gaseous ions (exothermic) Copyright©2000 by Houghton Mifflin Company. All rights reserved. 80 Born-Haber Cycle Diagram Copyright©2000 by Houghton Mifflin Company. All rights reserved. 81 • RECALL: Hess’s Law states that the energy change for a reaction is independent of the route taken, therefore, ΔHf = ΔHa(Me) + ΔHi(1) + ΔHa(NM) + ΔHEa + ΔHLE • Standard conventions – Arrows pointing upwards represent endothermic changes (ΔH = +) – Arrows pointing downwards represent exothermic changes (ΔH = -) 82 Practice Copyright©2000 by Houghton Mifflin Company. All rights reserved. 83 Practice • Which ions are present in MgO(s)? • Using the data given, draw a schematic diagram representing each process in the formation of MgO. • Calculate the 2nd electron affinity of Oxygen • Is the 2nd electron affinity exothermic or endothermic? Explain. ΔHa(O) ΔHa(Mg) ΔHi(1)(Mg) ΔHi(2)(Mg) ΔHEa(1)(O) ΔHLE(MgO) ΔHf(MgO) +249 kJ/mol +148 kJ/mol +738 kJ/mol +1451 kJ/mol -141 kJ/mol -3791 kJ/mol -548 kJ/mol • The actual ΔHf for this reaction is 602 kJ/mol. What does this information indicate about the ionic characteristic of this compound? Copyright©2000 by Houghton Mifflin Company. All rights reserved. 84 Considerations • When considering the relative attractions of ions for one another, it can be useful to consider charge density. – Small, highly charged ions have HIGH charge densities • Tend to attract one another to greater degree – Leads to higher melting points and higher lattice energies Copyright©2000 by Houghton Mifflin Company. All rights reserved. 85 • Discrepencies between calculated and experimental lattice enthalpy – Assumption-a compound is essentially 100% ionic • Possible to calculate theoretical value of lattice enthalpy (Born Haber Process) • If theoretical values agree closely to experimental values, bond is considered to be essentially ionic 86 Compound Theoretical Lattice Experimental Formation Lattice Formation Enthalpy (kJ/mol) Enthalpy (kJ/mol) Agreement? NaCl -766 -781 Good Match ZnS -3427 -3565 Poor Match • If theoretical values do not agree closely, the assumption of 100% ionic bond is incorrect. – Differences are due to polarization – Ionic bond is said to take on a degree of covalent character » The greater the discrepancy, the greater the covalent character. Copyright©2000 by Houghton Mifflin Company. All rights reserved. 87 CONGRATULATIONS. YOU’VE JUST FINISHED THERMOCHEMISTRY Copyright©2000 by Houghton Mifflin Company. All rights reserved. 88