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Thermochemisty (Enthalpy) and Hess’s Law Chapter 10 Sections 10.6-10.7
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Enthalpy Change in enthalpy (ΔH p = q p ): the amount of heat exchanged when heat exchange occurs under conditions of constant pressure Enthalpy is a state function –State function is defined as a property that changes independent of pathway ΔH is independent of the path taken
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At constant pressure, 890kJ of energy per mole of CH 4 is produced as heat Q p = ΔH p = -890 kJ exothermic If 5.8 g of methane is burned, how much heat will be released? 5.8g CH 4 x 1mol CH 4 = 0.36 mol CH 4 16.0 g CH 4 0.36 mol CH 4 x -890 kJ = -320 kJ mol CH 4
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Calorimeter Calorimetry the process of measuring heat flow in the form of temperature changes in a system Calorimeter an insulated device used to measure temperature changes
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Hess’s Law –ΔH for a multi-step process is the sum of ΔH for the individual steps –Hess’s law allows us to calculate ΔH for new reactions from previously determined values Germain Henri Hess
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Altitude San Francisco, CA 0 ft Salt Lake City, UT 4,266 ft Denver, CO 5,280 ft Flight 1 Flight 2 Flight 1: Δ Alt = -4266 Flight 2: Δ Alt = +5280 SL City-Denver Δ Alt = +1014 What is the change in altitude (Δ Alt) between Salt Lake City and Denver? ? 4266 ft 1014 ft 5280 ft
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Hess’s Law Applying Hess’s Law –When reversing a reaction, change the sign of ΔH. –When multiplying a reaction by a new coefficient, multiply ΔH
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Hess’s Law “In going from a particular set of reactants to a particular set of products, the change in enthalpy is the same whether the reaction takes place in one step or a series of steps.”
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Calculate the enthalpy change for a partial combustion of 1 mol of graphite to diamond C(s, graphite) C(s, diamond) ΔH = ? Given: C(s, graphite) + O 2 (g) CO 2 (g) ΔH = -393.5 KJ C(s, diamond) + O 2 (g) CO 2 (g) ΔH = -395.4 KJ Answer: C(s, graphite) + O 2 (g) CO 2 (g) ΔH = -393.5 kJ CO 2 (g) C(s, diamond) + O 2 (g) ΔH = +395.4 kJ C(s, graphite) C(s, diamond) ΔH = +1.9 kJ Hess’s Law
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Hess’s Law Example Problem Calculate H for the combustion of methane, CH 4 : CH 4 + 2O 2 CO 2 + 2H 2 O Reaction H o C + 2H 2 CH 4 -74.80 kJ C + O 2 CO 2 -393.50 kJ H 2 + ½ O 2 H 2 O-285.83 kJ Step #1: CH 4 must appear on the reactant side, so we reverse reaction #1 and change the sign on H. CH 4 C + 2H 2 +74.80 kJ
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Calculate H for the combustion of methane, CH 4 : CH 4 + 2O 2 CO 2 + 2H 2 O Reaction H o C + 2H 2 CH 4 -74.80 kJ C + O 2 CO 2 -393.50 kJ H 2 + ½ O 2 H 2 O-285.83 kJ CH 4 C + 2H 2 +74.80 kJ Step #2: Keep reaction #2 unchanged, because CO 2 belongs on the product side C + O 2 CO 2 -393.50 kJ
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Calculate H for the combustion of methane, CH 4 : CH 4 + 2O 2 CO 2 + 2H 2 O Reaction H o C + 2H 2 CH 4 -74.80 kJ C + O 2 CO 2 -393.50 kJ H 2 + ½ O 2 H 2 O-285.83 kJ CH 4 C + 2H 2 +74.80 kJ C + O 2 CO 2 -393.50 kJ Step #3: Multiply reaction #2 by 2 2H 2 + O 2 2 H 2 O -571.66 kJ
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Calculate H for the combustion of methane, CH 4 : CH 4 + 2O 2 CO 2 + 2H 2 O Reaction H o C + 2H 2 CH 4 -74.80 kJ C + O 2 CO 2 -393.50 kJ H 2 + ½ O 2 H 2 O-285.83 kJ CH 4 C + 2H 2 +74.80 kJ C + O 2 CO 2 -393.50 kJ 2H 2 + O 2 2 H 2 O -571.66 kJ Step #4: Sum up reaction and H CH 4 + 2O 2 CO 2 + 2H 2 O-890.36 kJ
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Calculation of Heat of Reaction Calculate H for the combustion of methane, CH 4 : CH 4 + 2O 2 CO 2 + 2H 2 O H rxn = H f (products) - H f (reactants) Substance H f CH 4 -74.80 kJ O2O2 0 kJ CO 2 -393.50 kJ H2OH2O-285.83 kJ H rxn = [-393.50kJ + 2(-285.83kJ)] – [-74.80kJ] H rxn = -890.36 kJ
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