Chemistry 100(02) Fall 2009 Webpage: http://blackboard.latech.edu/ Dr. Upali Siriwardane CTH 311 Phone 257-4941 Upali@chem.latech.edu Office Hours: M,W 8:00-9:00 & 11:00-12:00 am; Tu,Th,F 10:00 - 12:00. Exams: October 5, 2009 (Test 1): Chapter 1 & 2 October 28, 2009 (Test 3): Chapter 3 & 4 November 18, 2009 (Chapter 5 & 6) November 19, 2009 (Make-up test) comprehensive: Chapters 1 through 6 ) 8:00-9:15 AM, CTH 328 CHEM 100, Fall 2009, LA TECH 6-1 Chapter 6. Energy and Chemical Reactions 6.1 The Nature of Energy Page 214 6.2 Conservation of Energy Page 217 6.3 Heat Capacity Page 222 6.4 Energy and Enthalpy Page 227 6.5 Thermochemical Expressions Page 233 6.6 Enthalpy Changes for Chemical Reactions Page 235 6.7 Where Does the Energy Come From? Page 240 6.8 Measuring Enthalpy Changes: Calorimetry Page 242 6.9 Hess's Law Page 246 6.10 Standard Molar Enthalpies of Formation Page 248 6.11 Chemical Fuels for Home and Industry Page 253 6.12 Foods: Fuels for Our Bodies Page 256 PORTRAIT OF A SCIENTIST: James P. Joule Page 215 ESTIMATION: Earth's Kinetic Energy Page 217 CHEM 100, Fall 2009, LA TECH 6-2 Chapter 6. KEY CONCEPTS Energy and Chemical Reactions •Kinetic energy and potential energy •Energy units and unit conversion •Conservation of energy: heat and work •Thermodynamic terms: system, surroundings, thermal equilibrium, exothermic, endothermic, and state function •Heat capacity and calorimetry •Internal energy and enthalpy Thermochemical equations Thermostoichiometric factors CHEM 100, Fall 2009, LA TECH •Standard enthalpy change for a reaction, DHo •Enthalpy change from bond enthalpies •Calorimetry and thermal energy transferred during a reaction •Hess's law and enthalpy •Standard molar enthalpies of formation DHo of a reaction. •Chemical fuels and heating •Main components of food •Caloric intake 6-3 Kinetic energy and potential energy External or Macroscopic Energy Potential Energy: Energy of an object as a result of its position Kinetic Energy: Energy of an object as a result of its motion. Internal or submicroscopic (nano-scale) Energy) Potential Energy: Energy of an atoms or molecules as a result of its position at nano-scale Kinetic Energy: Energy of an object as a result of motion of its atoms and molecules at nano-scale. Temperature is directly proportional to kinetic energy (thermal energy) of atoms and molecules Total Energy = Kinetic + Potential CHEM 100, Fall 2009, LA TECH 6-4 Energy Transformations CHEM 100, Fall 2009, LA TECH 6-5 Thermal Energy CHEM 100, Fall 2009, LA TECH 6-6 Forms of Energy Energy - the ability to do work. Work - when a force is applied to an object. There are several types of energy: Thermal - heat Electrical Radiant - including light Chemical Mechanical - like sound Nuclear CHEM 100, Fall 2009, LA TECH 6-7 Energy units Kinetic energy was defined as: 1 2 2 kinetic energy = mv m = mass and v = velocity. Joule (J) - the energy required to move a 2 kg mass at a speed of 1 m/s. It is a derived SI unit. 2 1 J = kinetic energy = 2 (2 kg) (1 m/s) 2 -2 = 1 kg m s Volume expansion work; P DV 24.5 L atm x 101. 3 J = 2482 J 1 L atm CHEM 100, Fall 2009, LA TECH 6-8 Energy units and unit conversion 1J = 1 kg m2/sec2 1 cal = 4.184 J 1kcal = 1 Cal thus 1 Cal = 1 kcal = 1000 cal = 4.184 kJ = 4184 J CHEM 100, Fall 2009, LA TECH 6-9 Law of Conservation of Energy “Energy cannot be created or destroyed in a chemical reaction.” During a reaction, energy can change from one form to another. Example. Combustion of natural gas. Chemical bonds can be viewed as potential energy. So during the reaction: 2CH4 (g) + 3O2 (g) 2CO2 (g) + 2H2O (l) + thermal energy + light some potential energy is converted to thermal energy and light. CHEM 100, Fall 2009, LA TECH 6-10 First Law of Thermodynamics the total amount of energy in the universe is a constant the amount of heat transferred into a system plus the amount of work done on the system must result in a corresponding increase of internal energy in the system CHEM 100, Fall 2009, LA TECH 6-11 Measuring Temperature CHEM 100, Fall 2009, LA TECH 6-12 Hot and Cold Iron CHEM 100, Fall 2009, LA TECH 6-13 Heat Transfer Heat is always transferred from the hotter to the cooler sample CHEM 100, Fall 2009, LA TECH 6-14 State functions Depend only on the initial and final states of a system. They are independent of how the system gets from one state to another. State functions include: Energy Pressure Volume Temperature Enthalpy (DH) CHEM 100, Fall 2009, LA TECH 6-15 Path Independent Energy Changes CHEM 100, Fall 2009, LA TECH 6-16 Enthalpy Diagram CHEM 100, Fall 2009, LA TECH 6-17 Thermochemistry Terminology Chemical energy – energy associated with a chemical reaction Thermochemistry – the quantitative study of the heat changes accompanying chemical reactions Thermodynamics – the study of energy and its transformations CHEM 100, Fall 2009, LA TECH 6-18 Thermochemistry Terminology State functions properties which depend only on the initial and final states properties which are path independent Non-state properties properties which are path dependent state properties E non-state properties q & w CHEM 100, Fall 2009, LA TECH 6-19 Stepwise Energy Changes in Reactions CHEM 100, Fall 2009, LA TECH 6-20 Bond Energy and DH Energy associated with holding 2 atoms together For example, if the reaction HF(g) -> H(g) + F(g) ; DH = +565 kJ then we can say that the HF bond energy is 565 kJ/mol. CHEM 100, Fall 2009, LA TECH 6-21 Why is it necessary to divide Universe into System and Surrounding Universe = System + Surrounding System that part of the universe under investigation Surroundings the rest of the Universe CHEM 100, Fall 2009, LA TECH 6-22 Internal Energy The sum of the individual energies of all nano-scale particles (atoms, ions, or molecules) in that sample Chemical Energy: Potential energy as stored in bonds Nuclear energy: E = 1/2mc2 Thermal Energy: Depends on the temperature Total Internal Energy: Depends on the type of particles, and how many of them there are in the sample CHEM 100, Fall 2009, LA TECH 6-23 Internal Energy, Heat, and Work Sign Conventions: gain (+). Loss(-) CHEM 100, Fall 2009, LA TECH 6-24 Internal Energy CHEM 100, Fall 2009, LA TECH 6-25 What is the internal energy change (DE) of a system? DE is associated with changes in atoms, molecules and subatomic particles Total Energy = Eexternal + DEinternal DE = work (w) or volume expansion + heat (kinetic energy) + nuclear energy + chemical energy DE = heat (q) + w (work) DE = q + w DE = q -P DV; w =- P DV CHEM 100, Fall 2009, LA TECH 6-26 Volume Expansion Work w = -p DV, Why is negative sign? Work has a sign: performed (- , loss) or done on the system (+, gain) volume expansion work: compression and expansion compression DV = Vf -Vi ;DV is negative expansion DV = Vf -Vi ;DV is positive compression: w = -p DV; DV = -, w is + expansion: w = -pDV; DV = +, w is - CHEM 100, Fall 2009, LA TECH 6-27 Volume Expansion Type Work w = PDV Expansion w is + compression w is - DV = Vinitial + Vincrease P Vincrease P qp = +2kJ CHEM 100, Fall 2009, LA TECH Vinitial 6-28 Calculations using DE = q + w and DE = q - PDV a) In a process in which 89 J of work is done on a system, 567 J of heat is given off. What is the DE of the system? b) In a process in which a gas expands from 25 L to 50 L against a constant pressure of 0.980 atm and 650 J of heat is absorbed. What is the DE of the system? CHEM 100, Fall 2009, LA TECH 6-29 a) In a process in which 89 J of work is done on a system, 567 J of heat is given off. What is the DE of the system? DE = q + w DE = -567 J +89 J DE = -478 J Internal energy (DE) of a system is decreased or loss by an amount of 478 J. CHEM 100, Fall 2009, LA TECH 6-30 b) In a process in which a gas expands from 25 L to 50 L against a constant pressure of 0.980 atm and 650 J of heat is absorbed. What is the DE of the system? DV = 50 L- 25 L= 25 L w = -pDV = -0.980 atm x 25 L =- 24.5 L atm to convert L atom to J use conversion factor 1 L atm = 101. 3 J -24.5 L atm x 101. 3 J = - 2482 J 1 L atm -pDV = -2482 J q = 650 DE = q -pDV DE = 650 -2482 J = -1832 J Internal energy (DE) of a system is decreased or loss by an amount of 1832 J CHEM 100, Fall 2009, LA TECH 6-31 Measuring thermal energy changes Thermal energy cannot be directly measured. We can only measure differences in energy. To be able to observe energy changes, we must be able to isolate our system from the rest of the universe. Calorimeter - a device that is used to measure thermal energy changes and provide isolation of our system. CHEM 100, Fall 2009, LA TECH 6-32 Heat capacity vs Specific heat Every material will contain thermal energy. Identical masses of substances may contain different amounts of thermal energy even if at the same temperature. Heat capacity. The quantity of thermal energy required to raise the temperature of an object by one degree. Specific heat. The amount of thermal energy required to raise the temperature of one gram of a substance by one degree. CHEM 100, Fall 2009, LA TECH 6-33 o Specific Heats at 25 C, 1 atm Substance DH Substance DH Al(s) 0.90 Fe (s) 0.45 Br2 (l) 0.47 H2O (s) 2.09 C (diamond) 0.51 H2O (l) 4.18 C (graphite) 0.71 H2O (g) 1.86 CH3CH2OH (l) 2.42 N2 (g) 1.04 CH3(CH2)6CH3 (l) 2.23 O2 (g) 0.92 DH = specific heat, J g-1 oC-1 CHEM 100, Fall 2009, LA TECH 6-34 What basic ideas are used in calorimetric calculations? Heat gain = - heat loss (qlost = - qgained) 1st law of thermodynamics Heat gain/loss = Specific heat x mass x Dt Heat gain/loss = Heat capacity x Dt Dt = final temperature – initial temperature Dt = tf - ti What unknown? Spec. heat, heat cap, tf, mass, DH(coffee cup), DE (bomb calorimeter) CHEM 100, Fall 2009, LA TECH 6-35 EXAMPLE If 100. g of iron at 100.0oC is placed in 200. g of water at 20.0oC in an insulated container, what will the temperature, oC, of the iron and water when both are at the same temperature? The specific heat of iron is 0.106 cal/goC. (100.g 0.106cal/goC (Tf - 100.)oC) = qlost - qgained = - (200.g 1.00cal/goC (Tf - 20.0)oC) 10.6(Tf - 100.oC) = - 200.(Tf - 20.0oC) 10.6Tf - 1060oC = - 200.Tf + 4000oC (10.6 + 200.)Tf = (1060 + 4000)oC Tf = (5060/211.)oC = 24.0oC CHEM 100, Fall 2009, LA TECH 6-36 What is it? heat gain/loss? Heat gain= [Specific heat x mass x Dt] Heat loss = - [Specific heat x mass x Dt] specific heat? amount of heat needed to increase temperature of 1g of a material by 1oC heat capacity? heat capacity = [Specific heat x mass] temperature drop/gain (Dt)? Dt = tfinal - tinitial CHEM 100, Fall 2009, LA TECH 6-37 Two ways of measuring heat changes Constant pressure? qp (open to atmosphere-coffee cup calorimeter) Constant volume? qv (bomb calorimeter). CHEM 100, Fall 2009, LA TECH 6-38 Bomb Calorimeter CHEM 100, Fall 2009, LA TECH 6-39 Coffee cup calorimeter Conduct a reaction and look at the temperature change. CHEM 100, Fall 2009, LA TECH 6-40 What exactly is DH? Heat measured at constant pressure qp Chemical reactions are exposed to atmosphere and are held at a constant pressure. Volume of materials or gases produced can change. ie: work = -PDV DE = qp + w qp = DE + PDV; w = -PDV DH = DE + PDV; qp = DH(enthalpy ) CHEM 100, Fall 2009, LA TECH 6-41 When 1.00 mole of HCl is reacted with 1.00 mole of NaOH in 1.0 L of water, the temperature of water increases by 13.7 oC. Calculate the heat of the reaction for the following thermochemical equation. HCl(aq) + NaOH (aq) ---> NaCl (aq) + H2O(l); DH= ? CHEM 100, Fall 2009, LA TECH 6-42 How do you measure DE? Heat measured at constant volume qv Chemical reactions takes place inside a bomb. Volume of materials or gases produced can not change. ie: work = -PDV= 0 DE = qv + w qv = DE + 0; w = 0 DE = qv = DE(internal energy ) CHEM 100, Fall 2009, LA TECH 6-43 Bomb calorimeter(constant volume) CHEM 100, Fall 2009, LA TECH 6-44 DE and DH from First Law of Thermodynamics DE = q + w at constant V, wexpansion = 0 DE = qv + 0 at constant P, wexpansion = PDV DE = qp + PDV qp = DH = DE - PDV CHEM 100, Fall 2009, LA TECH 6-45 EXAMPLE A 1.000g sample of a compound was burned in an oxygen bomb calorimeter. It produced 12.0 kJ of heat. The temperature of the calorimeter and 2000 g of water was raised 4.645oC. How much heat is gained by the calorimeter? heat gained = – heat lost heatcalorimeter + heatwater = heatreaction heatcalorimeter = heatreaction - heatwater CHEM 100, Fall 2009, LA TECH 6-46 EXAMPLE A 1.000g sample of a compound was burned in an oxygen bomb calorimeter. It produced 42.0 kJ of heat. The temperature of the calorimeter and 2000 g of water was raised 4.645oC. How much heat is gained by the calorimeter? heatcalorimeter = heatreaction - heatwater heat = 42.0 kJ ((2.000kg)(4.645oC)(4.184kJ/kgoC)) = 3.13 kJ CHEM 100, Fall 2009, LA TECH 6-47 Example What is the mass of water equivalent of the heat absorbed by the calorimeter? #g = (3.13 kJ/4.645oC)(1.00kg C/4.184kJ) = 1.61 x 102 g CHEM 100, Fall 2009, LA TECH 6-48 What is it? heat of fusion Heat absorbed in this process of breaking intermolecular forces in a solid to become a liquid heat of evaporation Heat absorbed in this process of breaking intermolecular forces in a liquid to become a gas CHEM 100, Fall 2009, LA TECH 6-49 Example A 1.000 g sample of ethanol (MM 46.07) was burned in the sealed bomb calorimeter described above. The temperature of the water rose from 24.284oC to 27.559oC. Determine the heat for the reaction. m = (2000 + ”161")g H2O Dt = 27.559oC - 24.284oC = 3.275oC q = m s.h. Dt q= (2161g)(4.184J/goC)(3.275oC) = 29.61 kJ q = (29.61 kJ/1.000g)(46.07 g/mol) = 1364 kJ/mol CHEM 100, Fall 2009, LA TECH 6-50 Freezing and Melting CHEM 100, Fall 2009, LA TECH 6-51 EXAMPLE: How much heat is required to heat 10.0 g of ice at -15.0oC to steam at 127.0oC? q ice = m s.h. Dtice 2.09J/goC qwater = m s.h. Dtwater 4.18J/goC qsteam = m s.h. Dtsteam 2.03J/goC qfusion = m heat of fusion 333J/g qboil. = m heat of vaporization 2260J/g qoverall = qice + qfusion + qwater + qboil. + qsteam CHEM 100, Fall 2009, LA TECH 6-52 EXAMPLE: How much heat is required to heat 10.0 g of ice at -15.0oC to steam at 127.0oC? qoverall = qice + qfusion + qwater + qboil. + qsteam q = (10.0g 2.09J/goC 15.0oC) + (10.0g 333J/g) + (10.0g 4.18J/goC 100.0oC) + (10.0g 2260J/g) + (10.0g 2.03J/goC 27.0oC) q = (314 + 3.33X103 + 4.18X103 + 2.26X104 + 548)J = 23.3 kJ CHEM 100, Fall 2009, LA TECH 6-53 Heating, Temperature Change, and Phase Change CHEM 100, Fall 2009, LA TECH 6-54 Vaporization and Condensation CHEM 100, Fall 2009, LA TECH 6-55 Thermochemical Equation Thermochemistry: deals with heat changes during chemical reactions Thermochemical equation. E.g. 2H2 (g) + O2 (g) ---> 2H2O(l) DH = - 285 kJ; DH is called the enthalpy of reaction. if DH is + reaction is called endothermic if DH is - reaction is called exothermic The magnitude of DH is directly proportional to the amount of reactant or product. Sign of DH change from + to - for the reverse reaction. CHEM 100, Fall 2009, LA TECH 6-56 Exothermic Reaction Energy Reactants Products Since excess energy is released, the products are more stable. CHEM 100, Fall 2009, LA TECH 6-57 Endothermic Reaction Energy Products Reactants Additional energy is required because the products are less stable. CHEM 100, Fall 2009, LA TECH 6-58 Thermostoichiometry Standard State Enthalpy: DH° enthalpy at thermodynamic standard conditions of 298 K, 1 atm, and 1molar for solutions How do you calculate the heat given out or absorbed in a reaction ? • Get the thermochemical equation • Get the grams of materials • Convert grams to moles • Do a ratio calculation using stoichiometric coefficients and DH in the thermochemical equation CHEM 100, Fall 2009, LA TECH 6-59 Calculate the amount of heat given out by burning 50g of methanol (CH3OH) in excess oxygen using following the thermochemical equation: 2 CH3OH(l) + 3O2(g) ----> 2CO2(g) + 4H2O(l) ; D H = 1691.73 kJ CHEM 100, Fall 2009, LA TECH 6-60 CHEM 100, Fall 2009, LA TECH 6-61 Stoichiometric Calculations Determine the thermal energy released when 50.0 grams of methane is burned in an excess of oxygen. First, determine the number of moles of methane (MM = 16.043 u). mol CH4 = (50.0 g) / (16.043 g/mol) = 3.12 mol CH4 CHEM 100, Fall 2009, LA TECH 6-62 Stoichiometric Calculations Now look at the balanced thermochemical equation. CH4 (g) + 2O2 (g) CO2 (g) + H2O (l) DHrxn = -890.32 kJ DHrxn = -890.32 kJ / mol CH4 so: Thermal energy released = (3.12 mol CH4(g)) (-890.32 kJ / mol CH4 ) = - 2.78 x 103 kJ CHEM 100, Fall 2009, LA TECH 6-63 What is Hess's Law of Summation of Heat? To get DH for new reactions. Two methods? • 1st method: new DH is calculated by adding DHs of several other reactions. • 2nd method: Where DHf ( DH of formation) of reactants and products are used to calculate DH of a reaction. CHEM 100, Fall 2009, LA TECH 6-64 Hess’s law The value of H for the reaction is the same whether it occurs directly or in a series of steps. DHoverall = DH1 + DH2 + DH3 + · · · A+B A+B energy F E+ C CHEM 100, Fall 2009, LA TECH D+B C 6-65 EXAMPLE CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) CH4(g) C(s) + 2 H2(g) DH1 2 O2(g) 2 O2(g) DH2 C(s) + O2(g) CO2(g) DH3 2 H2(g) + O2(g) 2 H2O(l) DH4 CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) DHoverall = DH1 + DH2 + DH3 + DH4 CHEM 100, Fall 2009, LA TECH 6-66 Hess’s law The thermal energy given off or absorbed in a given change is the same whether it takes place in a single step or several steps. This is just another way of stating the law of conservation of energy. If the net change in energy were to differ based on the steps taken, then it would be possible to create energy -- this cannot happen! CHEM 100, Fall 2009, LA TECH 6-67 Calculating enthalpies: 1st method Thermochemical equations can be combined to calculate DHrxn. Example. 2C(graphite) + O2 (g) 2CO (g) This cannot be directly determined because CO2 is always formed. However, we can measure the following: C(graphite) + O2 (g) 2CO (g) + O2 (g) CHEM 100, Fall 2009, LA TECH CO2 (g) 2CO2 (g) DHrxn= -393.51 kJ DHrxn= -565.98 kJ 6-68 Calculating enthalpies By combining the two equations, we can determine the DHrxn we want. 2 [ C(graphite) + O2 (g) CO2 (g) ] DHrxn= -787.02 kJ 2CO2 (g) 2CO (g) + O2 (g) DHrxn= +565.98 kJ Note. Because we need 2 moles of CO2 to be produced in the top reaction, the equation and its DHrxn were doubled. CHEM 100, Fall 2009, LA TECH 6-69 Calculating enthalpies Now all we need to do is to add the two equations together. 2C(graphite) + 2O2 (g) 2CO2 (g) DHrxn= -787.02 kJ 2CO2 (g) 2 CO (g) + O2 (g) 2 C(graphite) + O2 (g) 2 CO (g) DHrxn= +565.98 kJ DHrxn= -221.04 kJ Note. The 2CO2 cancel out, as does one of the O2 on the right-hand side. CHEM 100, Fall 2009, LA TECH 6-70 Method 1: Calculate DH for the reaction: so2(g) + 1/2 O2(g) + H2O(g) -----> H2SO4(l) DH = ? Other reactions: SO2(g) ------> S(s) + O2(g) DH = 297kJ H2SO4(l)------> H2(g) + S(s) + 2O2(g) DH = 814 kJ H2(g) +1/2O2(g) -----> H2O(g) DH = -242 kJ CHEM 100, Fall 2009, LA TECH 6-71 SO2(g) ------> S(s) + O2(g);DH1 = 297 kJ - 1 H2(g) + S(s) + 2O2(g) ------> H2SO4(l) DH2 = -814 kJ - 2 H2O(g) ----->H2(g) + 1/2 O2(g) DH3 = +242 kJ - 3 ______________________________________ SO2(g) + 1/2 O2(g) + H2O(g) -----> H2SO4(l) DH = DH1 + DH2 + DH3 DH = +297 - 814 + 242 DH = -275 kJ CHEM 100, Fall 2009, LA TECH 6-72 Calculating enthalpies 2nd method The real problem with using Hess’s law is figuring out what equations to combine. The most often used equations are those for formation reactions. Formation reactions Reactions in which compounds are formed from elements. 2 H2 (g) + O2 (g) 2 H2O (l) DHrxn = -571.66 kJ CHEM 100, Fall 2009, LA TECH 6-73 Calculation of DH DH = Sc o CHEM 100, Fall 2009, LA TECH o o DHf products – Sc o DHf reactants 6-74 Example What is the value of DHrx for the reaction: 2 C6H6(l) + 15 O2(g) 12 CO2(g) + 6 H2O(g) from Appendix J Text D Hrx C6H6(l) DHfo = + 49.0 kJ/mol O2(g) DHfo = 0 CO2(g) DHfo = - 393.5 H2O(g) DHfo = - 241.8 =[S c DHfo]product – [S c DHfo]reactants CHEM 100, Fall 2009, LA TECH 6-75 Example What is the value of DHrx for the reaction: 2 C6H6(l) + 15 O2(g) 12 CO2(g) + 6 H2O(g) from Appendix J Text C6H6(l) DHfo = + 49.0 kJ/mol; O2(g) DHfo = 0 CO2(g) DHfo = - 393.5; H2O(g) DHfo = - 241.8 D Hrx =[S c DHfo]product - [S c DHfo]reactants D Hrx =[12(- 393.5) + 6(- 241.8)]product - [2(+ 49.0 ) + 15(0)]reactants kJ/mol = - 6.2708 103 kJ CHEM 100, Fall 2009, LA TECH 6-76 Standard enthalpy of formation o DHf Enthalpy change that results from one mole of a substance being formed from its elements. All elements are at their standard states. The DHfo of an element in its standard state has a value of zero. CHEM 100, Fall 2009, LA TECH 6-77 Standard enthalpies of Substance DH , kJ/mol formation CaCO -1206.92 f o 3 (s) Standard enthalpy of formation values are available for a wide range of substances. In addition, separate values for a substance in different states will also be given where appropriate. CHEM 100, Fall 2009, LA TECH CaO (s) CH4 (g) C2H6 (g) CH3OH (l) CH3OH (g) CO (g) CO2 (g) HCl (g) H2O (l) H2O (g) NaCl (s) SO2 (g) -635.09 -74.85 -84.67 -238.64 -201.2 -110.52 -393.51 -92.31 -285.83 -238.92 -411.12 -296.83 6-78 Why is DHof of elements is zero? DHof, Heat formations are only for compounds Note: DHof of elements is zero Note: If the element is not at standard state (25o C and 1 atm ) it’s DHof, is not zero. O indicate standard state. Eg. Br2(g) DHof is not zero because at 25o C and 1 atm Br2 is a liquid: Br2(l). CHEM 100, Fall 2009, LA TECH 6-79 Calculate Heat (enthalpy) of Combustion: 2nd method C7H16(l) + 11 O2(g) -----> 7 CO2(g) + 8 H2O(g) ;DH = ? DHf (C7H16) = -198.8 kJ/mol DHf (CO2) = -393.5 kJ/mol DHf (H2O) = -285.9 kJ/mol DHf O2(g) = 0 (zero) What method? 2nd method CHEM 100, Fall 2009, LA TECH 6-80 C7H16(l) + 11 O2(g) -----> 7 CO2(g) + 8 H2O(g) ; DH = ? DH = [S (DHof) Products] - [S (DHof) reactants] DH = [ 7(-393.5 + 8 (-285.9)] - [-198.8 + 11 (0)] = [-2754.5 - 2287.2] - [-198.8] = -5041.7 + 198.8 = -4842.9 kJ = -4843 kJ CHEM 100, Fall 2009, LA TECH 6-81 Phase changes Affect DHof We can use DHof values to determine the energy required to change from one phase to another. Example. Conversion of methanol from a liquid to a solid. kJ C (s) + 2 H2 + O1 2 (g) CH3OH (g) DHorxn = -201.2 2 C (s) + 2 H2 + CHEM 100, Fall 2009, LA TECH O1 2 (g) 2 CH3OH (l) DHorxn = -238.6 6-82 Phase change kJ C (s) + 2H2 + O2 (g) CH3OH (l) CH3OH (l) 1 2 CH3OH (g) DHorxn = -201.2 C (s) + 2H2 (g) + 12 O2 (g) DHorxn = +238.6 CH3OH (g) DHorxn = +37.4 This is not DHovap because the values are at 25 oC. DHovap would be the thermal energy required at the boiling point of methanol. CHEM 100, Fall 2009, LA TECH 6-83 Fossil Fuels coal petroleum natural gas CHEM 100, Fall 2009, LA TECH 6-84 Energy Resources in the U.S. CHEM 100, Fall 2009, LA TECH 6-85 Energy units Calorie (cal) Originally defined as the quantity of heat required to heat of one gram from 15 to 16oC. It is now defined as: 1 cal = 4.184 J Dietary Calorie This is what you see listed on food products. It is actually a kilocalorie. CHEM 100, Fall 2009, LA TECH 6-86 Caloric Value of Some Foods CHEM 100, Fall 2009, LA TECH 6-87 CHEM 100, Fall 2009, LA TECH 6-88 CHEM 100, Fall 2009, LA TECH 6-89