Module 5 Chemical Kinetics 1) 2) 3) 4) 5) 6) 7) 8) 9) describe how various factors influence the rate of a reaction; write the mathematical relationship between the rate of a reaction, rate constant, and concentration of the reactants; differentiate zero, first-, and second- order reactions; write the rate law for first-order reaction; discuss the effect of reactant concentration on the half-time of a first-order reaction; explain the effect of temperature on the rate of a reaction; explain reactions qualitatively in terms of molecular collisions; explain activation energy and how a catalyst affects the reaction rate; and cite and differentiate the types of catalysts. OBJECTIVES Lesson 1. The Rate of a Reaction Rate of Reaction A measure of how fast a reaction takes place. Often expressed as a change in amount or concentration of a substance (reactant or product) per unit time. Chemical kinetics is the study of rates of reactions and factors that affect them. Lesson 1. The Rate of a Reaction There are two fundamental issues in chemical kinetics. • How is the rate of a reaction defined? • How is the rate of a reaction measured? Lesson 1. The Rate of a Reaction ● Many chemical industries make use of chemical reactions whose rates should be fast enough to be economically viable but slow enough to allow some control. ● Action of drugs or medicines is an important consideration in medicine. ● Prevention of food spoilage. ● Photosynthesis in plants. ● Ripening of fruits. Lesson 1. The Rate of a Reaction ● The rate of a chemical reaction tells how fast a given amount of a reactant or product changes with time. ● It can be expressed either as the disappearance of a reactant or the appearance of the product. ● The reaction rate is the ratio of the change in concentration to the elapsed time. ● Concentration is measured in M, or mol L-1, and designated with square brackets, [ ]. ● Time is measured in s. ● The unit for rate is mol L-1 s-1. Lesson 1. The Rate of a Reaction ● As a reaction proceeds, the rate of the reaction can be measured by monitoring the concentrations of products and reactants. ● As a reaction proceeds, the concentration of the reactants decreases and the concentration of the products increases. Lesson 1. The Rate of a Reaction ● While measuring the rate of increase in concentration, the rate of the reaction is a number. product positive ● While measuring the rate of decrease in reactant concentration, the change in concentration will have a negative sign. A negative sign is included in the rate statement to obtain a positive value for the rate. Lesson 1. The Rate of a Reaction Lesson 1. The Rate of a Reaction The change in the concentrations of the product and reactant are not necessarily equal. To ensure that the same reaction rate is obtained when using either the reactants or the products, the stoichiometric coefficient, v, is included in the denominator of the rate expression. Lesson 1. The Rate of a Reaction Lesson 1. The Rate of a Reaction Write the expression for the rate of the reaction of the following: Lesson 1. The Rate of a Reaction Sample Problem 1: Lesson 1. The Rate of a Reaction Sample Problem 1: Lesson 1. The Rate of a Reaction Sample Problem 2: Lesson 1. The Rate of a Reaction Sample Problem 3: For the reaction 4NH3 + 5O2 --> 4NO + 6H2O, what is the rate of formation of water vapor when the rates of reaction of oxygen is 0.001 mol/L.s? Lesson 1. The Rate of a Reaction Average Rate and Instantaneous Rate Lesson 1. The Rate of a Reaction Average Rate and Instantaneous Rate Lesson 1. The Rate of a Reaction Average Rate and Instantaneous Rate Lesson 2. Factors that influence reaction rate 1) Nature of reactants – state that substances vary in their chemical reactivity. Chemical reactivity is a major factor that determines the rate of a reaction. Give examples of substances of varying chemical reactivity and reactions where these are involved. 2) Surface area of reactants - Ability of reactants to meet/more area for reactants to be in contact. 3) Concentration of reactants - As the concentration of reactants increases, so does the likelihood that reactant molecules will collide. 4) Temperature of reaction system - At higher temperatures, reactant molecules have more kinetic energy, move faster, and collide more often and with greater energy. 5) Presence of a catalyst - Speed up reactions by lowering activation energy. Lesson 3. Rate Law and its components Lesson 3. Rate Law and its components A rate law is an expression which relates that rate of a reaction to the rate constant and the concentrations of the reactants. A rate constant (k) is a proportionality constant for a given reaction. The general rate law is usually expressed as: ● ● ● k is the rate constant [A] and [B] are the reactant concentrations m and n are typically either integers or half integers and must be determined experimentally Lesson 3. Rate Law and its components ● The experimentally determined exponents are referred to as the order of the reaction. ❖ If m = 1, the reaction is said to be first order. ❖ If m = 2, the reaction is said to be second order. ● ● Exponents greater than 2 are unusual. For reactions where the rate depends on more than one reactant concentration: ❖ The exponent on each reactant is the order with respect to that reactant. ❖ The sum of the exponents is the overall order of the reaction: Reaction Order = m + n Note: It is important to note that although the reaction order can be determined from the rate law, there is in general, no relationship between the reaction order and the stoichiometric coefficients in the chemical equation. Lesson 3. Rate LAw and its components Sample Problem 4: In the following rate laws, determine the orders with respect to each substance and the overall order of the reaction. 1) rate = k[A]2[B] 2) rate=k[CH3OH] 3) rate=k[NO2]2[CO]0=k[NO2]2 4) rate = k[A][B]1/2 Resources ● ● ● https://www.chem.purdue.edu/gchelp/howtosolveit/Kinetics/ IntegratedRateLaws.html https://chem.libretexts.org/Bookshelves/Physical_and_Theo retical_Chemistry_Textbook_Maps/Supplemental_Modules_(Phy sical_and_Theoretical_Chemistry)/Kinetics/02%3A_Reaction_ Rates/2.05%3A_Reaction_Rate https://chem.libretexts.org/Bookshelves/Physical_and_Theo retical_Chemistry_Textbook_Maps/Exercises%3A_Physical_and _Theoretical_Chemistry/Exercises%3A_Chang/09.E%3A_Exercis es