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Chapter 17 Reaction Energy and Reaction Kinetics I. Thermochemistry study of the transfer of heat that accompany chemical reactions and physical changes Temperature—a measure of the average kinetic energy of the particles in a sample of matter Do objects at the same temperature contain the same amount of heat? Enthalpy (H) the heat content of a system at constant pressure cannot be directly measured Heat (q) energy transferred between samples with different temperatures ALWAYS from higher T to lower T Units: o joules (J) o calories (cal) NOTE: 1 Calorie (food) = 1000 cal = 1 kcal = 4.18 kJ II. Measuring Heat We cannot directly measure the heat content (H) of a substance. We can measure the CHANGE in heat content (H). When this happens, there is heat transfer between a system and its surroundings. +q = Hsystem = -Hsurroundings If two different objects with the same mass absorb the same quantity of heat, do they have to end up at the same temperature? Specific heat capacity (c)—the amount of energy required to raise the temperature of one gram of a substance by 1 degree C (or K). the larger the s.h., the SLOWER it will heat up (and cool down) Units: J/g K If we know the s.h. of a substance and the CHANGE in temperature (Tfinal – Tinitial) it experiences, we can determine how much heat was transferred into (+) or out of (-) it. q = m x c x T Table 17-1 (p. 513) give s.h. values III. Heat of Reaction Just about all chemical reactions will show a change in enthalpy between the reactants and products If reactants GAIN heat endothermic reaction products have more enthalpy than the reactants H is (+) If reactants LOSE heat exothermic reaction products have less enthalpy than the reactants H is (-) REMEMBER, we don’t know the enthalpy of the reactants or products, only the CHANGE. H = Hproducts - Hreactants The H can be put into the reaction (a reactant is H is (+) or a product if H is (-)). EX. 2 H2(g) + O2(g) 2 H2O(g) + 483.6 kJ This is known as a Thermochemical equation NOTE: coefficients can ONLY stand for MOLES IV. Heat of Formation Molar heat of formation: H for the reaction when ONE MOLE of a substance is formed from its elements in their standard state. Standard state (25oC & 1atm) Hfo (values in Table A-14, page 902) EX. 2 H2(g) + O2(g) 2 H2O(g) Ho = -483.6 kJ o Hf (H2O) = -241.8 kJ WHY? NOTE: the Hfo of any element in its standard state is ZERO H2(g) H2(g) Ho = ? V. Heat of Combustion Ho for a combustion reaction (ONE MOLE of the reactant) Hoc EX. What is Hoc for hydrogen? H2(g) + 2 O2(g) H2O(g) o H c = -241.8 kJ VI. Hess’s Law and Heats of Reaction Ho = (Hfo products) - (Hfo reactants) NOTE: Hfo values are PER MOLE (multiply values by coefficients) Ho is independent on the “path” the substance took to be formed. EX. A+CD E+GX+A 2A + X Y + D Y+CG+E Ho1 Ho2 Ho3 Ho4 Ho1 = Ho2 + Ho3 + Ho4 NOTE: 2A + 2C 2D DA+C Ho5 = 2 Ho1 Ho6 = -Ho1 VII. Entropy Spontaneous reaction: reaction that occurs “as written” (under the given conditions with no “outside assistance”) System will naturally want to get to a LOWER state of energy exothermic reactions (reactants lose energy) Why are some endothermic reactions spontaneous? A second “driving force” behind spontaneous chemical reactions is entropy. Entropy (S) a measure of the degree of randomness (disorder) of the particles in a system. CAN be measured directly unit: J/mol K An INCREASE in the entropy of the system during a chemical reaction will promote spontaneity. if the products have a HIGHER entropy than the reactants, spontaneity is promoted Low Entropy High Entropy solids gases less moles (particles) more moles (particles) low T high T S0 = (S0 (products)) - (S0 (reactants)) S0 – standard molar entropy (tabulated values) Why are some reactions that produce a DECREASE in entropy still spontaneous? VIII. Free Energy The two driving forces behind a reaction are: enthalpy changes entropy changes Favorable changes (always spontaneous) -H0; + S0 Unfavorable changes (never spontaneous) +H0; - S0 Questionable: +H0; + S0 or -H0; - S0 changing T can change reaction from spontaneous to nonspontaneous (or vice versa) Free Energy (G) G0 = H0 - TS0 T MUST be in KELVIN. If G0 is NEGATIVE, the reaction is SPONTANEOUS. NOTE: Tabulated values for S0 are usually in J/mol K and H0 in kJ/mol. IX. Collision Theory In order for reactions to occur between substances, their particles must collide. The collisions must also result in INTERACTIONS (correct orientations and energies). how often these interactions occur will determine the reaction rate Reaction Mechanisms: show the step-by-step sequence of reactions that the overall chemical reaction follows. EX. I2(s) + H2(g) 2 HI(g) Mechanism 1: I2 2 I 2 I + H2 2 HI Mechanism 2: I2 2 I I + H2 H2I H2I + I 2 HI NOTE: I and H2I are intermediates (stable substances that do NOT appear in the overall reaction) Each step (elementary reactions) in a reaction mechanism must form an ACTIVATED COMPLEX transitional structure that results from an effective interaction (collision) and that persists while old bonds are broken and new ones are formed. Activated complexes can only from if the collision has a certain minimum energy ACTIVATION ENERGY X. Energy Diagrams: Endothermic Reactions: (+) activation energy (+) H Exothermic Reactions: (+) activation energy (-) H XI. Reaction Rates Chemical kinetics: study of reaction rates and reaction mechanisms Reaction rate: the change in the concentration of REACTANTS per unit of time. Since the nature of reactant collisions determine how often reactions occur, changing the frequency and energy of these collisions will change reaction rates. 5 Factors will influence the reaction rate: 1) Nature of the reactants—in general, the stronger the bonds in the reactants, the slower the reaction will occur. 2) Surface area (solids)—since only the surface particles can react, increasing surface area (crushing) will increase reaction rates. 3) Concentration—the higher the concentration of reactants, the higher the number of collisions produced. 4) Temperature—increasing T increases K.E. of particles more collisions and they occur with more energy. 5) Catalyst—increases the reaction rate by LOWERING the activation energy for the reaction (provides a different reaction pathway) XII. Rate Determining Steps For multi-step reaction mechanism, the reaction cannot go any faster than the slowest step (elementary reaction). Thus, Rate Determining Step of the reaction is the SLOWEST elementary reaction. XIII. Rate Laws AC+D rate = - [A] / T = [C] / T = [D] / T rate = k [A]x k is called the RATE CONSTANT. x is the ORDER OF REACTION with respect to A. For the general reaction: aA+bBcC+dD rate = k [A]x [B]y In general, x and y will be 0, 1, or 2. x and y MUST be determined experimentally. NOTE: if the reaction has a single-step mechanism (or is an elementary reaction), x = a and y = b