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Chapter 8 Chapter 8 Thermochemistry: Chemical Energy
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Energy and Its Conservation Units: 1 Cal = 1000 cal = 1 kcal 1 cal = 4.184 J (exactly) Energy: The capacity to supply heat or do work. Kinetic Energy (E K ): The energy of motion. Potential Energy (E P ): Stored energy. Thermal Energy: The kinetic energy of molecular motion and is measured by finding the temperature of an object Heat: The amount of thermal energy transferred from one object to another as the result of a temperature difference between the two
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8.2 Internal Energy and State Functions First Law of Thermodynamics: The total internal energy E of an isolated system is constant - The sum of all the kinetic and potential energies of particles making up a substance E = E final - E initial
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Systems and Surroundings System = the object in question Surrounding(s) = everything outside the system When both system and surrounding at same temperature thermal equilibrium When not Heat transfer to surrounding = exothermic (you feel the heat) hot metal!! Heat transfer to system = endothermic (you feel cold) cold metal!!
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Internal Energy and State Functions State Function: A function or property whose value depends only on the present state, or condition, of the system, not on the path used to arrive at that state
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8.3 Expansion Work 3CO 2 (g) + 4H 2 O(g)C 3 H 8 (g) + 5O 2 (g) 7 mol of gas 6 mol of gas w = F x d = - P∆V Expansion Work: Work done as the result of a volume change in the system
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8.4 Energy and Enthalpy Constant Pressure: E = q + w w = work = -P V q = heat transferred q = E + P V q P = E + P V Constant Volume ( V = 0): q V = E
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Energy and Enthalpy = H products - H reactants Enthalpy change or Heat of reaction (at constant pressure) q P = E + P V = H H = H final - H initial Enthalpy is a state function whose value depends only on the current state of the system, not on the path taken to arrive at that state.
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8.6The Thermodynamic Standard State 3CO 2 (g) + 4H 2 O(g)C 3 H 8 (g) + 5O 2 (g) 3CO 2 (g) + 4H 2 O(l)C 3 H 8 (g) + 5O 2 (g) H = -2219 kJ Thermodynamic Standard State: Most stable form of a substance at 1 atm pressure and at a specified temperature, usually 25 °C; 1 M concentration for all substances in solution. Standard enthalpy of reaction is indicated by the symbol ΔH o 3CO 2 (g) + 4H 2 O(g)C 3 H 8 (g) + 5O 2 (g) H= -2043 kJ H° = -2043 kJ
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Enthalpies of Physical and Chemical Change
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Enthalpy of Fusion ( H fusion ): The amount of heat necessary to melt a substance without changing its temperature Enthalpy of Vaporization ( H vap ): The amount of heat required to vaporize a substance without changing its temperature Enthalpy of Sublimation ( H subl ): The amount of heat required to convert a substance from a solid to a gas without going through a liquid phase
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Enthalpies of Physical and Chemical Change 2Al(s) + Fe 2 O 3 (s)2Fe(s) + Al 2 O 3 (s) H o = +852 kJ 2Fe(s) + Al 2 O 3 (s)2Al(s) + Fe 2 O 3 (s) H o = -852 kJ endothermic exothermic The reverse reaction
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Applying Stoichiometry to Heats of Reaction A propellant for rockets is obtained by mixing the liquids hydrazine, N 2 H 4, and dinitrogen tetroxide, N 2 O 4. These compounds react to give gaseous nitrogen, N 2 and water vapor, evolving 1049 kJ of heat at constant pressure when 1 mol N 2 O 4 reacts. a. Write the thermochemical equation for this reaction b. Write the thermochemical equation for the reverse of the reaction c. How much heat evolves when 10.0 g of hydrazine reacts according to the reaction described in (a) ?
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Example An LP gas tank in a home barbeque contains 13.2 kg of propane, C 3 H 8. Calculate the heat (in kJ) associated with the complete combustion of all of the propane in the tank C 3 H 8 (g) + CO 2 (g) 3 CO 2 (g) + 4 H 2 O(g) ΔH o = -2044kJ
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8.6 Calorimetry The process of measuring heat transfer in at constant pressure (ΔH). chemical/physical process q rxn + q sol = 0 q rxn = -q sol R rxn = system S soln = surrounding What you’ll do in lab Heat given off by rxn Measured by thermometter Figure out q rxn indirectly
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Calorimetry and Heat Capacity Measure the heat flow at constant volume ( E).
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Calorimetry and Heat Capacity Specific Heat: The amount of heat required to raise the temperature of 1 g of a substance by 1 °C. q = (specific heat) x (mass of substance) x T Molar Heat Capacity (C m ): The amount of heat required to raise the temperature of 1 mol of a substance by 1 °C. q = (C m ) x (moles of substance) x T Heat Capacity (C): The amount of heat required to raise the temperature of an object or substance a given amount. q = C x T
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Calorimetry and Heat Capacity
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Example How much heat must be added to a 8.21 g sample of gold to increase its temperature by 6.2 o C? The specific heat of gold is 0.13 J/g o C.
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Example When 1.045 g of CaO is added to 50.0 mL of water at 25.0 o C in a calorimeter, the temperature of the water increases to 32.2 o C. Assuming that the specific heat of the solution is 4.18 J/g o C and that the calorimeter itself absorbes a negligible amount of heat, calculate ∆H in kilojoules for the reaction CaO(s) + H 2 O(l) Ca(OH) 2 (aq)
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8.9Hess’s Law
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Haber Process: Multiple-Step Process - Given N2H4(g)N2H4(g)2H 2 (g) + N 2 (g) Hess’s Law: The overall enthalpy change for a reaction is equal to the sum of the enthalpy changes for the individual steps in the reaction. 2NH 3 (g)3H 2 (g) + N 2 (g) H° total = ??? H° 1 = 95.4 Kj 2NH 3 (g)N 2 H 4 (g) + H 2 (g) H° total = 2NH 3 (g)3H 2 (g) + N 2 (g) H° 2 = -187.6 kJ
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Example Find ΔH o rxn for the following reaction C(s) + H 2 O(g) CO(g) + H 2 (g) H o rxn = ? Use the following reactions with known H’s C(s) + O 2 (g) CO 2 (g) ΔH o = -393.5 kJ 2CO(g) + O 2 (g) 2CO 2 (g) Δ H o = -566.0kJ 2H 2 (g) + O 2 (g) 2H 2 O (g) Δ H o = -483.6 kJ
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Standard Heats of Formation Standard Heat of Formation ( H o f ): The enthalpy change for the formation of 1 mol of a substance in its standard state from its constituent elements in their standard states H o f = -74.8 kJ CH 4 (g)C(s) + 2H 2 (g) Standard states 1 mol of 1 substance
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Standard Heats of Formation cC + dDaA + bB Reactants Products H o = H o f (Products) - H o f (Reactants) H o = [c H o f (C) + d H o f (D)] - [a H o f (A) + b H o f (B)]
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Standard Heats of Formation Using standard heats of formation, calculate the standard enthalpy of reaction for the photosynthesis of glucose (C 6 H 12 O 6 ) and O 2 from CO 2 and liquid H 2 O. C 6 H 12 O 6 (s) + 6O 2 (g)6CO 2 (g) + 6H 2 O(l) H o = ?
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Example Calculate the enthalpy change for the following reaction 3 NO 2 (g) + H 2 O(l) 2 HNO 3 (aq) + NO(g) *Use standard enthalpies of formation
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An Introduction to Entropy Spontaneous Process: A process that, once started, proceeds on its own without a continuous external influence Entropy (S): The amount of molecular randomness in a system
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An Introduction to Entropy Spontaneous processes are favored by a decrease in H (negative H). favored by an increase in S (positive S). Nonspontaneous processes are favored by an increase in H (positive H). favored by a decrease in S (negative S).
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Example Predict whether ΔS o is likely to be positive or negative for each of the following reactions a.H 2 C=CH 2 (g) + Br 2 (g) BrCH 2 CH 2 Br(l) b.Consider the following figures
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