Chapter 12 Chemical Kinetics AP CHEMISTRY MS. GROBSKY Learning Objectives Describe the collision theory of reaction rates Use collision theory to describe the effect of reactant concentration on reaction rate Describe the effect of temperature on reaction rate using the collision theory of reaction rates Explain the concept of reaction rate Derive the average and instantaneous rates of a reaction from experimental information Describe factors that affect reaction rate Concentration Temperature Catalyst State of reactants What Do We Mean When We Say Chemical Kinetics? Principally interested in: The rate of a chemical reaction The factors that influence the rate The mechanism by which a reaction takes place What do we mean by rate? Change in concentration of a reactant or product per unit time Can measure concentration spectroscopically (color change) and production of a gas (pressure change) Can be positive, negative or zero Positive – concentration is increasing Negative – concentration is decreasing Zero – concentration is constant 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑐𝑜𝑛𝑐𝑒𝑛𝑡𝑟𝑎𝑡𝑖𝑜𝑛 [𝐴] [𝐴]𝑓 −[𝐴]𝑖 𝑅𝑎𝑡𝑒 = = = 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑡𝑖𝑚𝑒 ∆𝑡 𝑡𝑓 − 𝑡𝑖 Collision Theory of Reactions Collision theory is a model that accounts for the observed characteristics of reaction rates It states that for a reaction to occur: Particles must collide Only two particles may collide at one time Particles must have the correct geometry Proper orientation of colliding molecules so that atoms can come in contact with each other to become products Collision must involve enough energy to produce the reaction Must overcome the electron/electron repulsion of the valence shell electrons of reacting species Transform translational energy into vibrational energy in order to penetrate into each other so that the electrons can rearrange and form new bonds The collision must equal or exceed the activation energy, Ea New collision product is at the peak of the activation energy hump and is called the activated complex (transition state). At this point, the activated complex can still either fall to reactants or to products Bottom line is that all collisions do NOT result in reactions! Collision Theory of Reaction Rates Factors that Affect Reaction Rates Nature of the reactants Some reactant molecules react in a hurry, others slowly Physical state Gasoline (l) vs. gasoline (g) K2SO4 (s) + Ba(NO3)2 (s) → No Reaction! • Will react in aqueous state Chemical identity – what is reacting? Generally, ions of opposite charge react very rapidly Generally, the more bonds between reacting atoms in a molecule, the slower the reaction rate • Strong bonds react much more slowly Factors that Affect Reaction Rates Concentration of reactants More reactants, more collisions The possibility of a successful collision increases! Temperature “Heat ‘em up, speed ‘em up!” The faster they move, the more likely they are to collide Does not affect activation energy However, more particles now have sufficient energy to overcome the activation energy. Therefore, there is a general increase in reaction rate with increasing temperature General rule of thumb: a 10°C increase in temperature will DOUBLE the reaction rate Factors that Affect Reaction Rate Catalysts Increase rate but are not used up Not part of the chemical reaction Regenerated Change the rate by providing an alternative reaction mechanism with a different activation energy Positive catalysts Increase reaction rate, lower Ea Ex. H2O2 decomposes relatively slowly into H2O and O2; however, exposure to light accelerates this process AND with the help of MnO2, it goes extremely FAST! Negative catalysts Decrease reaction rate, increase Ea Ex. Food preservatives! Factors that Affect Reaction Rate Surface area of reactants Exposed surfaces affect speed Except for substances in gaseous state or solutions Reactions then occur at the boundary, or interface, between two phases The greater the surface area exposed, the greater change of collisions between particles Hence, the reaction should proceed at a much faster rate Ex. Coal dust is very explosive as opposed to a piece of charcoal Solutions have the largest exposure! Inert gases do not affect reaction rate Do not appear in rate law (more on this later!) Chemical Reaction Rates The speed of a reaction is expressed in terms of its “rate” Some measurable quantity is changing with time Can be written in terms of reactant(s) disappearance or product(s) appearance 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑐𝑜𝑛𝑐𝑒𝑛𝑡𝑟𝑎𝑡𝑖𝑜𝑛 [𝐴] [𝐴]𝑓 −[𝐴]𝑖 𝑅𝑎𝑡𝑒 = = = 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑡𝑖𝑚𝑒 ∆𝑡 𝑡𝑓 − 𝑡𝑖 Chemical Reaction Rates Rate is not constant; it changes with time Can be positive or negative Product ALWAYS positive Reactant ALWAYS negative Graphing the data of an experiment will show an average rate of reaction You can find the instantaneous rate by computing the slope of a straight line tangent to the curve at that time Relative Reaction Rates We can consider the appearance of products along with the disappearance of reactants Reactant’s concentration is declining; the products is increasing Read the balanced equation Divide the rate of change in concentration of each reactant by its stoichiometric coefficient aA + bB → cC + dD 1 𝐴 1 𝐵 1 𝐶 1 [𝐷] 𝑅𝑎𝑡𝑒 = − =− = + =+ 𝑎 ∆𝑡 𝑏 ∆𝑡 𝑐 ∆𝑡 𝑑 ∆𝑡 Chemical Reaction Rates Ex. 2 NO (g) + O2 (g) → 2 NO2 (g) Oxygen can disappear only half as rapidly as the nitrogen monoxide disappears while NO2 appears twice as fast as oxygen disappears Practice Because it has a nonpolluting product (water vapor), hydrogen gas is used for fuel aboard the space shuttle and may be used by Earth-bound engines in the near future. 2H2 (g) + O2 (g) → 2H2O (g) Express the rate in terms of changes in [H2], [O2], and [H2O] with time When [O2] is decreasing at 0.23 mol/L·s, at what rate is [H2O] increasing?
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