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Chapter 6 Lesson 2 Thermochemistry
Prentice Hall
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The First Law of Thermodynamics: Energy is Conserved
UNIT 3 Chapter 5: Energy Changes Section 5.1 The First Law of Thermodynamics: Energy is Conserved The first law of thermodynamics states that: energy can be converted from one form to another but cannot be created or destroyed. Since any change in energy of the universe must be zero, ΔEuniverse = ΔEsystem + ΔEsurroundings = 0 ΔEsystem = –ΔEsurroundings if a system gains energy, that energy comes from the surroundings if a system loses energy, that energy enters the surroundings
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UNIT 3 Chapter 5: Energy Changes Section 5.1 Enthalpy One way chemists express thermochemical changes is by a variable called enthalpy, H. The change in enthalpy, ΔH, of a system can be measured. It depends only on the initial and final states of the system, and is represented by ΔH = ΔE + Δ(PV) For reactions of solids and liquids in solutions, Δ(PV) = 0 If heat enters a system ΔH is positive the process is endothermic If heat leaves a system ΔH is negative the process is exothermic
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The Second Law of Thermodynamics
UNIT 3 Chapter 5: Energy Changes Section 5.1 The Second Law of Thermodynamics The second law of thermodynamics states that: when two objects are in thermal contact, heat is transferred from the object at a higher temperature to the object at the lower temperature until both objects are the same temperature (in thermal equilibrium) Image source: MHR, Chemistry 12 © ISBN ; page 283 When in thermal contact, energy from hot particles will transfer to cold particles until the energy is equally distributed and thermal equilibrium is reached.
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Comparing Categories of Enthalpy Changes: Enthalpy of Solution
UNIT 3 Chapter 5: Energy Changes Section 5.1 Comparing Categories of Enthalpy Changes: Enthalpy of Solution Three processes occur when a substance dissolves, each with a ΔH value. bonds between solute molecules or ions break bonds between solvent molecules break bonds between solvent molecules and solute molecules or ions form Sum of the enthalpy changes: enthalpy of solution, ΔHsolution The three fundamental types of processes in which enthalpy change is considered are: physical, chemical, and nuclear. Recall: physical changes are changes to the condition of a substance that do not change the chemical properties of the substance. Image source: MHR, Chemistry 12 © ISBN ; page 284 The orange arrow shows the overall ΔH.
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Thermochemical Equations and Calorimetry
UNIT 3 Chapter 5: Energy Changes Section 5.2 Thermochemical Equations and Calorimetry Chemical reactions involve initial breaking of chemical bonds (endothermic) then formation of new bonds (exothermic) ΔHr is the difference between the total energy required to break bonds and the total energy released when bonds form. Image source: MHR, Chemistry 12 © ISBN ; page 292
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UNIT 3 Chapter 5: Energy Changes Section 5.3 Hess’s Law The enthalpy change of nearly any reaction can be determined using collected data and Hess’s law. The enthalpy change of any reaction can be determined if: the enthalpy changes of a set of reactions “add up to” the overall reaction of interest standard enthalpy change, ΔH°, values are used Image source: MHR, Chemistry 12 © ISBN ; page
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Combining Sets of Chemical Equations
UNIT 3 Chapter 5: Energy Changes Section 5.3 Combining Sets of Chemical Equations To find the enthalpy change for formation of SO3 from O2 and S8, you can use Because only 1 mol of sulfur trioxide is in the final step: Divide the first equation by 8 so 1 mol of sulfur dioxide is in the first step Divide the second equation by 2 Image source: MHR, Chemistry 12 © ISBN ; page
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Techniques for Manipulating Equations
UNIT 3 Chapter 5: Energy Changes Section 5.3 Techniques for Manipulating Equations Reverse an equation the products become the reactants, and reactants become the products the sign of the ΔH value must be changed Multiply each coefficient all coefficients in an equation are multiplied by the same integer or fraction the value of ΔH must also be multiplied by the same number Image source: MHR, Chemistry 12 © ISBN ; page
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Standard Conditions the standard state is the state of a material at a defined set of conditions pure gas at exactly 1 atm pressure pure solid or liquid in its most stable form at exactly 1 atm pressure and temperature of interest usually 25°C substance in a solution with concentration 1 M the standard enthalpy change, DH°, is the enthalpy change when all reactants and products are in their standard states the standard enthalpy of formation, DHf°, is the enthalpy change for the reaction forming 1 mole of a pure compound from its constituent elements the elements must be in their standard states the DHf° for a pure element in its standard state = 0 kJ/mol by definition Tro, Chemistry: A Molecular Approach
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Standard Molar Enthalpies of Formation
UNIT 3 Chapter 5: Energy Changes Section 5.3 Standard Molar Enthalpies of Formation Data that are especially useful for calculating standard enthalpy changes: standard molar enthalpy of formation, ΔH˚f the change in enthalpy when 1 mol of a compound is synthesized from its elements in their most stable form at SATP conditions enthalpies of formation for elements in their most stable state under SATP conditions are set at zero since formation equations are for 1 mol of compound, many equations include fractions standard molar enthalpies of formation are in Appendix B
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Formation Reactions and Thermal Stability
UNIT 3 Chapter 5: Energy Changes Section 5.3 Formation Reactions and Thermal Stability The thermal stability of a substance is the ability of the substance to resist decomposition when heated. decomposition is the reverse of formation the opposite sign of an enthalpy change of formation for a compound is the enthalpy change for its decomposition the greater the enthalpy change for the decomposition of a substance, the greater the thermal stability of the substance Image source: MHR, Chemistry 12 © ISBN ; page
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Using Enthalpies of Formation and Hess’s Law
UNIT 3 Chapter 5: Energy Changes Section 5.3 Using Enthalpies of Formation and Hess’s Law For example: CH4(g) + 2O2(g) → CO2(g) + 2H2O(g) Image source: MHR, Chemistry 12 © ISBN ; page
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UNIT 3 Chapter 5: Energy Changes Section 5.3 Learning Check Determine ∆H˚r for the following reaction using the enthalpies of formation that are provided. C2H5OH(l) + 3O2(g) → 2CO2(g) + 3H2O(l) ∆H˚f of C2H5OH(l): –277.6 kJ/mol ∆H˚f of CO2(g): –393.5 kJ/mol ∆H˚f of H2O(l): –285.8 kJ/mol Answer on the next slide
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UNIT 3 Chapter 5: Energy Changes Section 5.3 Learning Check ∆H˚r = [(2 mol)(∆H˚f CO2(g)) + (3 mol)(∆H˚f H2O(l))] – [(1 mol)(∆H˚f C2H5OH(l)) + (3 mol)(∆H˚fO2(g)] ∆H˚r = [(2 mol)(–393.5 kJ/mol) + (3 mol)(–285.8 kJ/mol)] – [(1 mol)(–277.6 kJ/mol) + (3 mol)(0 kJ/mol)] Image source: MHR, Chemistry 12 © ISBN ; page 98 ∆H˚r = (– kJ) – (–277.6 kJ) ∆H˚r = – kJ
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Relationships Involving DHrxn
when reaction is multiplied by a factor, DHrxn is multiplied by that factor because DHrxn is extensive C(s) + O2(g) → CO2(g) DH = kJ 2 C(s) + 2 O2(g) → 2 CO2(g) DH = 2( kJ) = kJ if a reaction is reversed, then the sign of DH is reversed CO2(g) → C(s) + O2(g) DH = kJ Tro, Chemistry: A Molecular Approach
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Sample – Hess’s Law [3 NO2(g) 3 NO(g) + 1.5 O2(g)] DH° = (+259.5 kJ)
Given the following information: 2 NO(g) + O2(g) 2 NO2(g) DH° = -173 kJ 2 N2(g) + 5 O2(g) + 2 H2O(l) 4 HNO3(aq) DH° = -255 kJ N2(g) + O2(g) 2 NO(g) DH° = +181 kJ Calculate the DH° for the reaction below: 3 NO2(g) + H2O(l) 2 HNO3(aq) + NO(g) DH° = ? [3 NO2(g) 3 NO(g) O2(g)] DH° = ( kJ) [1 N2(g) O2(g) + 1 H2O(l) 2 HNO3(aq)] DH° = (-128 kJ) [2 NO(g) N2(g) + O2(g)] DH° = -181 kJ 3 NO2(g) + H2O(l) 2 HNO3(aq) + NO(g) DH° = - 49 kJ [2 NO2(g) 2 NO(g) + O2(g)] x 1.5 DH° = 1.5(+173 kJ) [2 N2(g) + 5 O2(g) + 2 H2O(l) 4 HNO3(aq)] x 0.5 DH° = 0.5(-255 kJ) [2 NO(g) N2(g) + O2(g)] DH° = -181 kJ Tro, Chemistry: A Molecular Approach
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The Combustion of CH4 Tro, Chemistry: A Molecular Approach
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Sample - Calculate the Enthalpy Change in the Reaction 2 C2H2(g) + 5 O2(g) ® 4 CO2(g) + 2 H2O(l)
1. Write formation reactions for each compound and determine the DHf° for each 2 C(s, gr) + H2(g) ® C2H2(g) DHf° = kJ/mol C(s, gr) + O2(g) ® CO2(g) DHf° = kJ/mol H2(g) + ½ O2(g) ® H2O(l) DHf° = kJ/mol Tro, Chemistry: A Molecular Approach
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Sample - Calculate the Enthalpy Change in the Reaction 2 C2H2(g) + 5 O2(g) ® 4 CO2(g) + 2 H2O(l)
2. Arrange equations so they add up to desired reaction 2 C2H2(g) ® 4 C(s) + 2 H2(g) DH° = 2(-227.4) kJ 4 C(s) + 4 O2(g) ® 4CO2(g) DH° = 4(-393.5) kJ 2 H2(g) + O2(g) ® 2 H2O(l) DH° = 2(-285.8) kJ 2 C2H2(g) + 5 O2(g) ® 4 CO2(g) + 2 H2O(l) DH = kJ Tro, Chemistry: A Molecular Approach
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DH°reaction = S n DHf°(products) - S n DHf°(reactants)
Sample - Calculate the Enthalpy Change in the Reaction 2 C2H2(g) + 5 O2(g) ® 4 CO2(g) + 2 H2O(l) DH°reaction = S n DHf°(products) - S n DHf°(reactants) DHrxn = [(4•DHCO2 + 2•DHH2O) – (2•DHC2H2 + 5•DHO2)] DHrxn = [(4•(-393.5) + 2•(-285.8)) – (2•(+227.4) + 5•(0))] DHrxn = kJ Tro, Chemistry: A Molecular Approach
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Example – How many kg of octane must be combusted to supply 1
Example – How many kg of octane must be combusted to supply 1.0 x 1011 kJ of energy? Given: Find: 1.0 x 1011 kJ mass octane, kg Write the balanced equation per mole of octane Concept Plan: Relationships: MMoctane = g/mol, 1 kg = 1000 g DHf°’s DHrxn° kJ mol C8H18 g C8H18 kg C8H18 from above Solution: C8H18(l) + 25/2 O2(g) → 8 CO2(g) + 9 H2O(g) Material DHf°, kJ/mol C8H18(l) -250.1 O2(g) CO2(g) -393.5 H2O(g) -241.8 Look up the DHf° for each material in Appendix 4 Check: the units and sign are correct the large value is expected
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The standard enthalpy of reaction (DH0 ) is the enthalpy of a reaction carried out at 1 atm.
rxn aA + bB cC + dD DH0 rxn dDH0 (D) f cDH0 (C) = [ + ] - bDH0 (B) aDH0 (A) DH0 rxn nDH0 (products) f = S mDH0 (reactants) - Hess’s Law: When reactants are converted to products, the change in enthalpy is the same whether the reaction takes place in one step or in a series of steps. (Enthalpy is a state function. It doesn’t matter how you get there, only where you start and end.) 6.5
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Calculate the standard enthalpy of formation of CS2 (l) given that:
C(graphite) + O2 (g) CO2 (g) DH0 = kJ rxn S(rhombic) + O2 (g) SO2 (g) DH0 = kJ rxn CS2(l) + 3O2 (g) CO2 (g) + 2SO2 (g) DH0 = kJ rxn 1. Write the enthalpy of formation reaction for CS2 C(graphite) + 2S(rhombic) CS2 (l) 2. Add the given rxns so that the result is the desired rxn. rxn C(graphite) + O2 (g) CO2 (g) DH0 = kJ 2S(rhombic) + 2O2 (g) SO2 (g) DH0 = x2 kJ rxn + CO2(g) + 2SO2 (g) CS2 (l) + 3O2 (g) DH0 = kJ rxn C(graphite) + 2S(rhombic) CS2 (l) DH0 = (2x-296.1) = 86.3 kJ rxn 6.5
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2C6H6 (l) + 15O2 (g) 12CO2 (g) + 6H2O (l)
Benzene (C6H6) burns in air to produce carbon dioxide and liquid water. How much heat is released per mole of benzene combusted? The standard enthalpy of formation of benzene is kJ/mol. 2C6H6 (l) + 15O2 (g) CO2 (g) + 6H2O (l) DH0 rxn nDH0 (products) f = S mDH0 (reactants) - DH0 rxn 6DH0 (H2O) f 12DH0 (CO2) = [ + ] - 2DH0 (C6H6) DH0 rxn = [ 12x– x–187.6 ] – [ 2x49.04 ] = kJ -5946 kJ 2 mol = kJ/mol C6H6 6.5
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DHsoln = Hsoln - Hcomponents
The enthalpy of solution (DHsoln) is the heat generated or absorbed when a certain amount of solute dissolves in a certain amount of solvent. DHsoln = Hsoln - Hcomponents Which substance(s) could be used for melting ice? Which substance(s) could be used for a cold pack? 6.6
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The Solution Process for NaCl
DHsoln = Step 1 + Step 2 = 788 – 784 = 4 kJ/mol 6.6
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Energy Use and the Environment
in the U.S., each person uses over 105 kWh of energy per year most comes from the combustion of fossil fuels combustible materials that originate from ancient life C(s) + O2(g) → CO2(g) DH°rxn = kJ CH4(g) +2 O2(g) → CO2(g) + 2 H2O(g) DH°rxn = kJ C8H18(g) O2(g) → 8 CO2(g) + 9 H2O(g) DH°rxn = kJ fossil fuels cannot be replenished at current rates of consumption, oil and natural gas supplies will be depleted in 50 – 100 yrs. Tro, Chemistry: A Molecular Approach
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Energy Consumption the increase in energy consumption in the US
Tro, Chemistry: A Molecular Approach
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The Effect of Combustion Products on Our Environment
because of additives and impurities in the fossil fuel, incomplete combustion and side reactions, harmful materials are added to the atmosphere when fossil fuels are burned for energy therefore fossil fuel emissions contribute to air pollution, acid rain, and global warming Tro, Chemistry: A Molecular Approach
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Global Warming CO2 is a greenhouse gas
it allows light from the sun to reach the earth, but does not allow the heat (infrared light) reflected off the earth to escape into outer space it acts like a blanket CO2 levels in the atmosphere have been steadily increasing current observations suggest that the average global air temperature has risen 0.6°C in the past 100 yrs. atmospheric models suggest that the warming effect could worsen if CO2 levels are not curbed some models predict that the result will be more severe storms, more floods and droughts, shifts in agricultural zones, rising sea levels, and changes in habitats Tro, Chemistry: A Molecular Approach
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CO2 Levels Tro, Chemistry: A Molecular Approach
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Renewable Energy our greatest unlimited supply of energy is the sun
new technologies are being developed to capture the energy of sunlight parabolic troughs, solar power towers, and dish engines concentrate the sun’s light to generate electricity solar energy used to decompose water into H2(g) and O2(g); the H2 can then be used by fuel cells to generate electricity H2(g) + ½ O2(g) → H2O(l) DH°rxn = kJ hydroelectric power wind power Tro, Chemistry: A Molecular Approach
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