The rate of a reaction is dependent on the number of collisions between particles that occur each second with sufficient energy to react (i.e. with energy that exceeds the activation energy). The distribution of energies of particles in a sample is shown by the Maxwell-Boltzmann curve. A typical curve for a gas a room temperature is given below together with a value for the activation energy of a typical reaction. As can be seen below, only a small proportion of the molecules have an energy that exceeds the activation energy. That is, only a small proportion of collisions will occur at room temperature with sufficient energy to react. If molecules collide with less than the minimum required energy (i.e. less than the activation energy) they will simply bounce off each other and will not form products. Successful collisions will result in reaction and energy will be released as new bonds are made. **Note: Rate of reaction = (change in concentration)/(change in time). The Kinetic Molecular Theory proposes that there is a distribution of molecular kinetic energies for a substance at a given temperature and that the mean kinetic energy of the molecules is proportional to the absolute temperature. Clearly, as temperature increases, the percentage of ‘reactive’ molecules increases. It follows that as temperature increases: • Collision frequency increases • The proportion of molecules having the minimum kinetic energy necessary for reaction to occur increases The School For Excellence 2019 Unit 3 & 4 Chemistry – Notes Page 1 **Note: In the given graph, two distribution curves are shown where T2 > T1 and it is assumed that the area under the whole curve is the same for both temperatures i.e. the same number/population of molecules. The area under the graph is proportional to the number of particles present. **Note: For many reactions, the rate of reaction doubles for every rise in 10oC. Now, if we consider the activation energy Ea – the minimum kinetic energy required to break the bonds in the reactants – the proportion of the population able to react at T1 is given by the blue area. However, at the higher temperature T2, the proportion with enough kinetic energy to react is given by the combined blue area plus the red area. Therefore, because of the shift in the distribution at the higher temperature T2, a greater proportion of particles have the minimum kinetic energy to react and hence a greater chance of an effective collision happening i.e. reactant molecule bonds breaking to form products. **Note: Despite the proportion of energetically qualified molecules increasing with increase in temperature, not all the possible collisions are effective collisions. The alignment of the energetically qualified molecules must also be correct for a given collision to be an effective (or fruitful) collision. The relative orientations of the reactants must allow formation of any new bonds necessary to produce products. The methods of measuring the rate of reaction include: • Measuring the volumes of gas evolved using a gas syringe over a convenient period of time • A conductivity meter may be used if there is a change in conductivity during the reaction (i.e. if the number of ions present is changing) • The pH of the reaction can be monitored over time using a pH probe if there involves the consumption of H+ ions • Measuring the change in pressure over time for gas reactions • Colorimetry may be used if one of the species is coloured as it can monitor the change in intensity of colour • Titration of aliquots of reaction mixture against a primary standard or standard solution The School For Excellence 2019 Unit 3 & 4 Chemistry – Notes Page 2 1. Concentration It is generally true to say that reactions are accelerated if the concentrations of the reactants are increased. This is due to an increased collision frequency at higher concentrations which increases the number of effective collision and therefore the rate at which products are formed. 2. Pressure An increase in pressure by decreasing the volume results in the particles having less space in which they can move. This increases the collision frequency and thus the number of effective collisions. The reaction rate is therefore increased. **Note: Increasing the total pressure increases the rate of reaction. Increasing the partial pressure of a reactive gas also increases reaction rate as it increases collision frequency. 3. Temperature Increasing the temperature of a reaction increases the average speed of the particles and therefore their collision frequency. HOWEVER, this is not the only contribution affecting rate otherwise every gaseous reaction would be almost instantaneous. Far more important is that a temperature rise increases the proportion (or fraction) or particles that possess enough energy to exceed the activation energy and therefore form products. The MINIMUM quantity of energy required to break the bonds in the reactants is the activation energy. This minimum collision energy is the energy required to activate the molecules into a state from which reactant bonds can change into product bonds. 4. Surface Area Maximisation of contact area between reactant molecules results in reaction rate increase because collision frequency is increased. 5. Catalysts The School For Excellence 2019 Unit 3 & 4 Chemistry – Notes Page 3 A catalyst is a non-consumed reaction accelerator. Catalysts are often said to lower the activation energy of a reaction system by providing an alternative pathway. In general, reactions with catalysts proceed from reactants to products via unstable, high energy intermediates known as activated complexes. The actual mechanisms involved in catalytic action are quite complex and not fully understood. The most common catalysts are present as solids (usually solids of high surface energy like certain metals, particular ionic compounds etc.). The regions of incompletely bonded atoms on a surface can act as active sites for other substances to become attached (adsorbed). If substances become attached to a surface, albeit temporarily, via what is called chemisorption, electrons must be involved. This results in a different activated complex for the reaction, where the original bonds in the reactants are weakened and are more easily broken than in the absence of the catalyst. This different activated complex is produced of lower energy requirements and the reaction occurs via an alternate pathway. **Note: Homogeneous catalysts are in the same state as the reactants and products. **Note: Heterogeneous catalysts are in a different state to the reactants and products. **Note: Catalysts DO NOT affect the equilibrium yield as they increase the rate of forward and back reactions EQUALLY. 6. Light Some reactions are accelerated when irradiated with light of suitable wavelength. Light is radiant energy, and absorption of photons of appropriate energy value by reactant species is the mechanism by which light-induced reactions occur. The School For Excellence 2019 Unit 3 & 4 Chemistry – Notes Page 4