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THERMOCHEMISTRY or Thermodynamics
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Geothermal power —Wairakei North Island, New Zealand
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Energy & Chemistry Burning peanuts supply sufficient energy to boil a cup of water. Burning sugar (sugar reacts with KClO3, a strong oxidizing agent)
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Energy & Chemistry These reactions are PRODUCT FAVORED
They proceed almost completely from reactants to products, perhaps with some outside assistance.
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Energy & Chemistry 2 H2(g) + O2(g) --> 2 H2O(g) + heat and light
This can be set up to provide ELECTRIC ENERGY in a fuel cell. Oxidation: 2 H2 ---> 4 H e- Reduction: 4 e- + O H2O ---> 4 OH- CCR, page 845
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Energy & Chemistry ENERGY is the capacity to do work or transfer heat.
HEAT is the form of energy that flows between 2 objects because of their difference in temperature. Other forms of energy — light electrical kinetic and potential
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Potential & Kinetic Energy
Potential energy — energy a motionless body has by virtue of its position.
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Potential Energy on the Atomic Scale
Positive and negative particles (ions) attract one another. Two atoms can bond As the particles attract they have a lower potential energy NaCl — composed of Na+ and Cl- ions.
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Potential Energy on the Atomic Scale
Positive and negative particles (ions) attract one another. Two atoms can bond As the particles attract they have a lower potential energy
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Potential & Kinetic Energy
Kinetic energy — energy of motion • Translation
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Potential & Kinetic Energy
Kinetic energy — energy of motion.
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Internal Energy (E) PE + KE = Internal energy (E or U)
Int. E of a chemical system depends on number of particles type of particles temperature
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Internal Energy (E) PE + KE = Internal energy (E or U)
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Internal Energy (E) The higher the T the higher the internal energy
So, use changes in T (∆T) to monitor changes in E (∆E).
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Heat transfers until thermal equilibrium is established.
Thermodynamics Thermodynamics is the science of heat (energy) transfer. Heat energy is associated with molecular motions. Heat transfers until thermal equilibrium is established.
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Directionality of Heat Transfer
Heat always transfer from hotter object to cooler one. EXOthermic: heat transfers from SYSTEM to SURROUNDINGS. T(system) goes down T(surr) goes up
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Directionality of Heat Transfer
Heat always transfer from hotter object to cooler one. ENDOthermic: heat transfers from SURROUNDINGS to the SYSTEM. T(system) goes up T (surr) goes down
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Energy & Chemistry All of thermodynamics depends on the law of
CONSERVATION OF ENERGY. The total energy is unchanged in a chemical reaction. If PE of products is less than reactants, the difference must be released as KE.
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Energy Change in Chemical Processes
PE of system dropped. KE increased. Therefore, you often feel a T increase.
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UNITS OF ENERGY 1 calorie = heat required to raise temp. of 1.00 g of H2O by 1.0 oC. 1000 cal = 1 kilocalorie = 1 kcal 1 kcal = 1 Calorie (a food “calorie”) But we use the unit called the JOULE 1 cal = joules James Joule
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HEAT CAPACITY The heat required to raise an object’s T by 1 ˚C.
Which has the larger heat capacity?
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Specific Heat Capacity
How much energy is transferred due to T difference? The heat (q) “lost” or “gained” is related to a) sample mass b) change in T and c) specific heat capacity
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Specific Heat Capacity
Substance Spec. Heat (J/g•K) H2O Ethylene glycol 2.39 Al glass Aluminum
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Specific Heat Capacity
If 25.0 g of Al cool from 310 oC to 37 oC, how many joules of heat energy are lost by the Al?
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Specific Heat Capacity
If 25.0 g of Al cool from 310 oC to 37 oC, how many joules of heat energy are lost by the Al? heat gain/lose = q = (sp. ht.)(mass)(∆T) where ∆T = Tfinal - Tinitial q = (0.897 J/g•K)(25.0 g)( )K q = J Notice that the negative sign on q signals heat “lost by” or transferred OUT of Al.
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Heat Transfer No Change in State
q transferred = (sp. ht.)(mass)(∆T)
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Heat Transfer with Change of State
Changes of state involve energy (at constant T) Ice J/g (heat of fusion) -----> Liquid water q = (heat of fusion)(mass)
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Heat Transfer and Changes of State
Liquid ---> Vapor Requires energy (heat). This is the reason a) you cool down after swimming b) you use water to put out a fire. + energy
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Heating/Cooling Curve for Water
Evaporate water Heat water Note that T is constant as ice melts Melt ice
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Heat & Changes of State What quantity of heat is required to melt 500. g of ice and heat the water to steam at 100 oC? Heat of fusion of ice = 333 J/g Specific heat of water = 4.2 J/g•K Heat of vaporization = 2260 J/g +333 J/g +2260 J/g
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Heat & Changes of State 1. To melt ice
What quantity of heat is required to melt 500. g of ice and heat the water to steam at 100 oC? 1. To melt ice q = (500. g)(333 J/g) = x 105 J 2. To raise water from 0 oC to 100 oC q = (500. g)(4.2 J/g•K)( )K = 2.1 x 105 J 3. To evaporate water at 100 oC q = (500. g)(2260 J/g) = x 106 J 4. Total heat energy = 1.51 x 106 J = 1510 kJ
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Chemical Reactivity What drives chemical reactions? How do they occur?
The first is answered by THERMODYNAMICS and the second by KINETICS. Have already seen a number of “driving forces” for reactions that are PRODUCT-FAVORED. • formation of a precipitate • gas formation • H2O formation (acid-base reaction) • electron transfer in a battery
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Chemical Reactivity But energy transfer also allows us to predict reactivity. In general, reactions that transfer energy to their surroundings are product-favored. So, let us consider heat transfer in chemical processes.
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Heat Energy Transfer in a Physical Process
CO2 (s, -78 oC) ---> CO2 (g, -78 oC) Heat transfers from surroundings to system in endothermic process.
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Heat Energy Transfer in a Physical Process
CO2 (s, -78 oC) ---> CO2 (g, -78 oC) A regular array of molecules in a solid > gas phase molecules. Gas molecules have higher kinetic energy.
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∆E = E(final) - E(initial)
Energy Level Diagram for Heat Energy Transfer CO2 gas ∆E = E(final) - E(initial) = E(gas) - E(solid) CO2 solid
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Heat Energy Transfer in Physical Change
CO2 (s, -78 oC) ---> CO2 (g, -78 oC) Two things have happened! Gas molecules have higher kinetic energy. Also, WORK is done by the system in pushing aside the atmosphere.
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FIRST LAW OF THERMODYNAMICS
heat energy transferred ∆E = q + w work done by the system energy change Energy is conserved!
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∆E = q + w SYSTEM heat transfer in (endothermic), +q heat transfer out
(exothermic), -q SYSTEM ∆E = q + w w transfer in (+w) w transfer out (-w)
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ENTHALPY ∆H = Hfinal - Hinitial
Most chemical reactions occur at constant P, so Heat transferred at constant P = qp qp = ∆H where H = enthalpy and so ∆E = ∆H + w (and w is usually small) ∆H = heat transferred at constant P ≈ ∆E ∆H = change in heat content of the system ∆H = Hfinal - Hinitial
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ENTHALPY ∆H = Hfinal - Hinitial Process is ENDOTHERMIC
If Hfinal > Hinitial then ∆H is positive Process is ENDOTHERMIC If Hfinal < Hinitial then ∆H is negative Process is EXOTHERMIC
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USING ENTHALPY Consider the formation of water
H2(g) + 1/2 O2(g) --> H2O(g) kJ Exothermic reaction — heat is a “product” and ∆H = – kJ
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USING ENTHALPY Making liquid H2O from H2 + O2 involves two exothermic steps. H2 + O2 gas H2O vapor Liquid H2O
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USING ENTHALPY Making H2O from H2 involves two steps.
H2(g) + 1/2 O2(g) ---> H2O(g) kJ H2O(g) ---> H2O(liq) + 44 kJ H2(g) + 1/2 O2(g) --> H2O(liq) kJ Example of HESS’S LAW— If a rxn. is the sum of 2 or more others, the net ∆H is the sum of the ∆H’s of the other rxns.
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Hess’s Law & Energy Level Diagrams
Forming H2O can occur in a single step or in a two steps. ∆Htotal is the same no matter which path is followed. Figure 6.18, page 227
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Hess’s Law & Energy Level Diagrams
Forming CO2 can occur in a single step or in a two steps. ∆Htotal is the same no matter which path is followed. Figure 6.18, page 227
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∆H along one path = ∆H along another path
This equation is valid because ∆H is a STATE FUNCTION These depend only on the state of the system and not how it got there. V, T, P, energy — and your bank account! Unlike V, T, and P, one cannot measure absolute H. Can only measure ∆H.
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Standard Enthalpy Values
Most ∆H values are labeled ∆Ho Measured under standard conditions P = 1 bar Concentration = 1 mol/L T = usually 25 oC with all species in standard states e.g., C = graphite and O2 = gas
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Enthalpy Values Depend on how the reaction is written and on phases of reactants and products H2(g) + 1/2 O2(g) --> H2O(g) ∆H˚ = -242 kJ 2 H2(g) + O2(g) --> 2 H2O(g) ∆H˚ = -484 kJ H2O(g) ---> H2(g) + 1/2 O2(g) ∆H˚ = +242 kJ H2(g) + 1/2 O2(g) --> H2O(liquid) ∆H˚ = -286 kJ
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Standard Enthalpy Values
NIST (Nat’l Institute for Standards and Technology) gives values of ∆Hfo = standard molar enthalpy of formation — the enthalpy change when 1 mol of compound is formed from elements under standard conditions. See Table 6.2 and Appendix L
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∆Hfo, standard molar enthalpy of formation
H2(g) + 1/2 O2(g) --> H2O(g) ∆Hfo (H2O, g)= kJ/mol By definition, ∆Hfo = 0 for elements in their standard states.
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Using Standard Enthalpy Values
Use ∆H˚’s to calculate enthalpy change for H2O(g) + C(graphite) --> H2(g) + CO(g) (product is called “water gas”)
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Using Standard Enthalpy Values
H2O(g) + C(graphite) --> H2(g) + CO(g) From reference books we find H2(g) + 1/2 O2(g) --> H2O(g) ∆Hf˚ of H2O vapor = kJ/mol C(s) + 1/2 O2(g) --> CO(g) ∆Hf˚ of CO = kJ/mol
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Using Standard Enthalpy Values
H2O(g) --> H2(g) + 1/2 O2(g) ∆Ho = +242 kJ C(s) + 1/2 O2(g) --> CO(g) ∆Ho = -111 kJ H2O(g) + C(graphite) --> H2(g) + CO(g) ∆Honet = +131 kJ To convert 1 mol of water to 1 mol each of H2 and CO requires 131 kJ of energy. The “water gas” reaction is ENDOthermic.
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Using Standard Enthalpy Values
In general, when ALL enthalpies of formation are known, Calculate ∆H of reaction? ∆Horxn = ∆Hfo (products) - ∆Hfo (reactants) Remember that ∆ always = final – initial
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Using Standard Enthalpy Values
Calculate the heat of combustion of methanol, i.e., ∆Horxn for CH3OH(g) + 3/2 O2(g) --> CO2(g) + 2 H2O(g) ∆Horxn = ∆Hfo (prod) - ∆Hfo (react)
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Using Standard Enthalpy Values
CH3OH(g) + 3/2 O2(g) --> CO2(g) + 2 H2O(g) ∆Horxn = ∆Hfo (prod) - ∆Hfo (react) ∆Horxn = ∆Hfo (CO2) + 2 ∆Hfo (H2O) - {3/2 ∆Hfo (O2) + ∆Hfo (CH3OH)} = ( kJ) + 2 ( kJ) - {0 + ( kJ)} ∆Horxn = kJ per mol of methanol
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Measuring Heats of Reaction
CALORIMETRY Measuring Heats of Reaction Constant Volume “Bomb” Calorimeter Burn combustible sample. Measure heat evolved in a reaction. Derive ∆E for reaction.
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Calorimetry Total heat evolved = qtotal = qwater + qbomb
Some heat from reaction warms water qwater = (sp. ht.)(water mass)(∆T) Some heat from reaction warms “bomb” qbomb = (heat capacity, J/K)(∆T) Total heat evolved = qtotal = qwater + qbomb
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Measuring Heats of Reaction CALORIMETRY
Calculate heat of combustion of octane. C8H /2 O2 --> CO H2O • Burn 1.00 g of octane Temp rises from to oC Calorimeter contains 1200 g water Heat capacity of bomb = 837 J/K
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Measuring Heats of Reaction CALORIMETRY
Step 1 Calc. heat transferred from reaction to water. q = (4.184 J/g•K)(1200 g)(8.20 K) = 41,170 J Step 2 Calc. heat transferred from reaction to bomb. q = (bomb heat capacity)(∆T) = (837 J/K)(8.20 K) = 6860 J Step 3 Total heat evolved 41,170 J J = 48,030 J Heat of combustion of 1.00 g of octane = kJ
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