By: Olivia Bohnhoff & Zach Feldker What is kinetics? The study of the speed of reactions. It’s based on experiments. We did it first semester, so no one probably remembers anything. (Right?) RATE LAWS. Mechanisms Half-lives Catalysts! And lots of graphs. Fun, right? 5 things that affect a reaction Size of the atom of the reactants - Larger molecules react more slowly than smaller ones. It’s more dense, and therefore harder to get to. The smaller they are, the easier to get to. Get it? Temperature - The higher the temperature is, the more quickly things will react. The kinetic energy is greater and more molecules are colliding and reacting than at a lower temperature. Five things continued Concentration - The more concentrated something is, the more likely it is to react. State of reactants - Liquids react more quickly than solids, gases react the most quickly because the molecules are the tightest in a solid and less so in a liquid and even more less so in a gas. Catalysts - Catalysts speed up a reaction by reducing the activation energy, the energy necessary to start the reaction, or “getting over the hump.” Fun graph(s)! The reaction with and without a catalyst RATE LAWS This is probably what we all failed on the final, right? Now you don’t have to! Rate law is the equation involving k. Little k. It’s a constant. It tells us the rate of the reaction based on the concentration. Rate = k [A]m[B]n There are three orders to the rate law: first, second, and zero. Let’s take a look at them individually, shall we? First-Order Rate Laws It depends on only one reactant, and only raised to the first power. Rate = k[A]1 or Rate = k[A]1[B]1 If you want to look at it from a logarithmic point of view (which is probably a good idea), the equation looks like this. ln[A]t-ln[A]0= -kt [A]t = the concentration of A at a specific, designated time. [A]0 is the original concentration of A. k is the rate constant. t is the time elapsed. First-Order Graph This is what a first-order graph looks like. You can always recognize it because it slopes downward and therefore has a negative slope. Second-Order Rate Law Looks similar to the first, except squared. Rate = k[A]2 The real (integrated) rate law: 1/[A]t – 1/[A]0 = kt Again, [A]t = the concentration of A at time t, your choice. [A]0 is the original concentration. k is still the rate constant. And t is the amount of time. Second-Order Graph A second-order graph is characterized by a straight line with a positive slope. Zero-Order Rate Law A little bit different than the first two in that it is the exponent is 0, and therefore leaves you with just the bare rate constant. Rate = k The graph is a straight line with a negative slope. Look! Mechanisms! The overall idea of mechanisms is that reactions do not occur in a single step, but rather a bunch of little ones, called elementary steps. It’s similar to Hess’s Law in that the steps should add up to the overall equation. It’s dissimilar to Hess’s Law in that it has nothing to do with enthalpy. Key Things to know about Mechanisms Intermediates- intermediates are substances produced in one elementary step and then used up in a later one, and so they won’t show up in the overall equation. Catalysts- catalysts are also included in elementary steps. They show up as reactants and then as products, opposite of intermediates. Types of Steps- Unimolecular (decompisition), Bimolecular (pretty much everything else), and Termolecular (pretty much nonexistent.) More Mechanisms In a mechanism, the slowest step is the most important because it determines the rate. Cleverly called the ratedetermining step. You can write rate laws for the individual elementary steps, but you can’t put them all together to write the overall equation. You can only take that from the ratedetermining step. Mechanism Example A + 2B E+F A+B C C+B D D E+F What is the rate Determining step for the below reaction? NO2(g) + CO(g) NO(g) + CO2(g) Rate Law = k[NO2]2 NO2(g) + NO2(g) NO3(g) + NO(g) NO3(g) + CO(g) NO2(g) + CO2(g) Multiple Choice! A reaction follows the rate law: Rate = k[A]2. Which of the following plots will give a straight line? a) 1/[A] versus 1/time b) [A]2 versus time c) 1/[A] versus time d) Ln [A] versus time e) [A] versus time 1. Question # 2 2. a) b) c) d) e) For the following reaction: NO2(g) + CO(g) NO(g) + CO2(g), the rate law is : Rate = k[NO2]2. If a small amount of gaseous carbon monoxide (CO) is added to a reaction mixture that was .10 molar NO2 and .20 molar CO, which of the following statements is true? Both k and the reaction rate remain the same Both k and the reaction rate increase Both k and the reaction rate decrease Only k increases, the reaction rate remains the same Only the reaction rate increases; k remains the same. Question #3 The steps below represent a proposed mechanism for the catalyzed oxidation of CO by O3 Step 1: NO2(g) + CO(g) NO(g) + CO2 Step 2: NO(g) + O3(g) NO2(g) + O2(g) What are the overall products of the catalyzed reaction? a) CO2 and O2 b) NO and CO2 c) NO2 and O2 d) NO and O2 e) NO2 and CO2 3) Question 4 4) a) b) c) d) e) The decomposition of ammonia to the element is a first order reaction with a half-life of 200s at a certain temperature. How long will it take the partial pressure of ammonia to decrease from 0.100 atm to 0.00625 atm? 200s 400s 800s 1000s 1200s