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Thermodynamics Mr. Leavings
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Objectives Use the laws of thermodynamics to solve problems, identify energy flow within a system, determine the classification of various reactions
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Thermodynamic Laws 0-(zeroeth law): temperature makes sense! 1-(1 st Law): The energy in the universe is constant (cant be created or destroyed!) 2-(2 nd Law): The entropy (S) of the universe is increasing 3-(3 rd Law): Entropy (S) of a perfect crystal at 0K is Zero
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Entropy (S) Molar entropy is the amount of randomness or disorder in 1 mol of a substance. Units – J/Kmol Entropy always increases with temperature Entropy of a gas > liquid > solid Atoms in a gas have the most freedom of movement
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Enthalpy (H) Enthalpy is the total energy of a system, like heat or thermal energy Molar enthalpy depends on temperature Quantities needed –Molar Heat Capacity (C) –Change in Temperature ( T) ΔQ = mC(ΔT)
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Heat exchange accompanies chemical reactions. Exothermic: Heat flows out of the system (to the surroundings). Endothermic: Heat flows into the system (from the surroundings). Exo and Endothermic
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Exothermic
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Endothermic
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Calorimeters
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Bond Energy Bond energy values can be used to calculate approximate energies for reactions. ΔH = ∑(Bonds Broken) - ∑(Bonds Created)
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C + O 2 CO 2 Energy ReactantsProducts C + O 2 C O 2 -1103kJ + 1103 kJ/mol
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12 CaCO 3 CaO + CO 2 Energy ReactantsProducts CaCO 3 CaO + CO 2 176 kJ CaCO 3 + 176 kJ CaO + CO 2
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13 In terms of bonds C O O C O O Breaking this bond will require energy. C O O O O C Making these bonds gives you energy. In this case making the bonds gives you more energy than breaking them.
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Bond Energy
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Gibb’s Free Energy (G) G = H – T S Describes spontaneity Negative G Reaction will occur on its own Positive G Reaction will not occur on its own
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Gibbs Free Energy There are three possible conditions: If G < 0 then the forward reaction is spontaneous. If G > 0 then the forward reaction is not spontaneous. (However, the reverse reaction is spontaneous.) If G > 0, work must be supplied from the surroundings to drive the reaction. If G = 0 then reaction is at equilibrium and no net reaction will occur.
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Temperature and sign of G - + -Spontaneous at all temperatures + - +Nonspontaneous at any temperature. - - - Spontaneous at low temp. but will + be nonspontaneous at high temp. + + +Nonspontaneous at low temp. but - will be spontaneous at high temp. Sign of H S GTemperature effect H - T S = G
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Calculation of G o We can calculate G o values from H o and S o values at a constant temperature of 25ºC and pressure of 1 atm.Example. Determine G o for the following reaction at 25 o C Equation N 2 (g) + 3H 2 (g) 2NH 3 (g) H f o, kJ/mol 0.00 0.00 -46.11 S o, J/K. mol 191.50 130.68 192.3
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Calculation of G o H o = n p H f o products - n r H f o reactants = 2 mol NH 3 ( -46.11 kJ / mol NH 3 ) = -92.22 kJ S o = n p S o products - n r S o reactants = 2 mol NH 3 ( 192.3 J/K. mol NH 3 ) - [1 mol N 2 (191.5 J/K. mol N 2 ) + 3 mol H 2 (130.68 J/K. mol H 2 ) ] = -198.9 J/K
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Calculation of G o G = H - T S -92.22 kJ - (298.2K) ( -0.1989 kJ/K) = -32.91 kJ Note. It was necessary to convert S from units of J/K to kJ/K. G f o, kJ/mol, = -32.91 kJ / 2 mol NH 3 = - 16.46 kJ/mol NH 3 This reaction would occur spontaneously under standard conditions at 25 o C.
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