NIES Rates of Reactions Mrs. Shymaa Taha What is a chemical reaction? A chemical reaction is the breaking down of bonds in reactants and the formation of new bonds in products. The rate of a reaction is a measure of how quickly a reactant is used up, or a product is formed. Collision theory For a chemical reaction to happen: • reactant particles must collide with each other • the particles must have enough energy for them to react A collision that produces a reaction is called a successful collision. The activation energy is the minimum amount of energy needed for a collision to be successful. It is different for different reactions. The temperature, concentration, pressure of reacting gases, surface area of reacting solids, and the use of catalysts, are all factors which affect the rate of a reaction. Measuring rates Different reactions can happen at different rates. Reactions that happen slowly have a low rate of reaction. Reactions that happen quickly have a high rate of reaction. For example, the chemical weathering of rocks is a very slow reaction: it has a low rate of reaction. Explosions are very fast reactions: they have a high rate of reaction. Reactants and products There are two ways to measure the rate of a reaction: 1. Measure the rate at which a reactant is used up 2. Measure the rate at which a product is formed The method chosen depends on the reaction being studied. Sometimes it is easier to measure the change in the amount of a reactant that has been used up; sometimes it is easier to measure the change in the amount of product that has been produced. 1 The mean rate of reaction can be calculated using either of these two equations: 𝑚𝑒𝑎𝑛 𝑟𝑎𝑡𝑒 𝑜𝑓 𝑟𝑒𝑎𝑐𝑡𝑖𝑜𝑛 = 𝑚𝑒𝑎𝑛 𝑟𝑎𝑡𝑒𝑜𝑓 𝑟𝑒𝑎𝑐𝑡𝑖𝑜𝑛 = 𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑦 𝑜𝑓 𝑟𝑒𝑎𝑐𝑡𝑎𝑛𝑡 𝑢𝑠𝑒𝑑 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 𝑞𝑢𝑎𝑛𝑡𝑖𝑡𝑦 𝑜𝑓 𝑝𝑟𝑜𝑑𝑢𝑐𝑡 𝑓𝑜𝑟𝑚𝑒𝑑 𝑡𝑖𝑚𝑒 𝑡𝑎𝑘𝑒𝑛 Measuring mass The change in mass of a reactant or product can be followed during a reaction. This method is useful when carbon dioxide is a product which leaves the reaction container. It is not suitable for hydrogen and other gases with a small relative formula mass, Mr. Bubbles formed indicate that a gas is produced so the mass of reactants will decrease. 2 The units for rate are usually g/s or g/min For example, the graph below could be used to calculate the average rate over any period of time 3 Using this graph, we can calculate the average rate between 30 seconds and 120 seconds. 𝑎𝑣𝑒𝑟𝑎𝑔𝑒 𝑟𝑎𝑡𝑒 = 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑚𝑎𝑠𝑠 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑡𝑖𝑚𝑒 𝑎𝑣𝑒𝑟𝑎𝑔𝑒 𝑟𝑎𝑡𝑒 = 3.1 − 1.4 120 − 30 𝑎𝑣𝑒𝑟𝑎𝑔𝑒 𝑟𝑎𝑡𝑒 = 1.7 90 𝑎𝑣𝑒𝑟𝑎𝑔𝑒𝑟𝑎𝑡𝑒 = 0.0189𝑔/𝑠 The unit that rate is measured in depends on the measurable quantity. Since a change in mass is measured in grams and a change in time in seconds in this example, the unit of rate would be grams per second (g/ s). Similarly, if a change in concentration is measured (in mol/ l), then rate will have the unit moles per litre per second (mol/ l s) or a change in volume measured in cubic centimetres, centimetres cubed per second (cm3/ s). 4 Measuring volume The change in volume of a reactant or product can be followed during a reaction. This method is useful when a gas leaves the reaction container. The volume of a gas is measured using a gas syringe, or an upside down burette or measuring cylinder. The units for rate are usually cm3 s-1 or cm3 min-1. Two ways to measure the volume of a gas produced in a reaction 5 Graphs The rate of reaction can be analysed by plotting a graph of mass or volume of product formed against time. The graph shows this for two reactions. The steeper the line, the greater the rate of reaction. Faster reactions where the line becomes horizontal - finish sooner than slower reactions The gradient of the line is equal to the rate of reaction: • the steeper the line, the greater the rate of reaction • fast reactions - seen when the line becomes horizontal - finish sooner than slow reactions Units for rates of reaction The rate of a chemical reaction can also be measured in Mol /s 6 • Factors affecting the rate of the chemical reactions: 1) Effect of concentration and pressure: The rate of a chemical reaction can be changed by altering the concentration of a reactant in solution, or the pressure of a gaseous reactant. If the concentration or pressure is increased: • • • The reactant particles become more crowded There is a greater chance of the particles colliding The rate of reaction increases Compared to a reaction with a reactant at a low concentration (if a solution) or pressure (if a gas), the graph line for the same reaction but at a higher concentration or pressure: • • Has a steeper gradient at the start Becomes horizontal sooner, showing that the reaction time is less 7 Practical Investigate the effect of changing the concentration on the rate of a reaction by measuring the production of a gas. Calcium carbonate reacts with dilute hydrochloric acid: calcium carbonate + hydrochloric acid → calcium chloride + water + carbon dioxide CaCO3(s) + 2HCl (aq) → CaCl2 (aq) + H2O (l) + CO2 (g) The volume of carbon dioxide gas produced can be measured using a gas syringe. Method 1. Support a gas syringe with a stand. 2. Using a measuring cylinder, add 50 cm3 of dilute hydrochloric acid to a conical flask. 3. Add 0.4 g of calcium carbonate to the flask. Immediately connect the gas syringe and start a stop watch. 4. Every 10 seconds, record the volume of gas produced. 5. When the reaction is complete, clean the apparatus. 6. Repeat steps 1 to 5 with different concentrations of hydrochloric acid. 8 Measuring the volume of carbon dioxide using a gas syringe. Record the results in a table. Volume (cm3) Time (s) 0 0 10 …cm3 20 …cm3 Analysis 1. For each concentration of hydrochloric acid, plot a graph to show: • volume of gas (cm3) on the vertical axis • time (s) on the horizontal axis • draw a curve of best fit 9 2. For each concentration of acid, calculate the mean rate of reaction until the reaction stops: 𝑚𝑒𝑎𝑛 𝑟𝑎𝑡𝑒 𝑜𝑓 𝑟𝑒𝑎𝑐𝑡𝑖𝑜𝑛(𝑐𝑚3 /𝑠) = 𝑡𝑜𝑡𝑎𝑙 𝑣𝑜𝑙𝑢𝑚𝑒 𝑜𝑓 𝑔𝑎𝑠 𝑝𝑟𝑜𝑑𝑢𝑐𝑒𝑑(𝑐𝑚3 ) 𝑟𝑒𝑎𝑐𝑡𝑖𝑜𝑛 𝑡𝑖𝑚𝑒(𝑠) 3. Describe the effect of increasing the concentration of acid on the mean rate of reaction. Use your graphs and calculations in step 2 to help you. Question Describe how you can tell that the reaction is complete. Answer No more gas is produced, and the line on the graph becomes horizontal. 10 Hazards, risks and precautions Evaluate the hazards and the precautions needed to reduce the risk of harm. For example: Hazard Possible harm Possible precaution Hydrochloric acid Causes skin and eye Wear eye protection irritation Fizzing in the reaction mixture Acidic spray which may damage skin and eyes 11 Use a large conical flask so there is plenty of space inside; do not look over the top when adding the calcium carbonate 2) Effect of temperature: The rate of a chemical reaction can be changed by altering the temperature. If the temperature is increased: • • • • • The reactant particles move more quickly They have more energy The particles collide more often, and more of the collisions are successful The number of particles with activation energy increases. The rate of reaction increases Compared to a reaction at a low temperature, the graph line for the same reaction but at a higher temperature: • • Has a steeper gradient at the start Becomes horizontal sooner, showing that the reaction time is less 12 Practical - Investigate the effect of changing the temperature on the rate of a reaction. (Investigate the rate of reaction by colour change) Sodium thiosulfate solution reacts with dilute hydrochloric acid: sodium thiosulfate + hydrochloric acid → sodium chloride + water + sulfur dioxide + sulfur Na2S2O3(s) + 2HCl(aq) → 2NaCl(aq) + H2O(l) + SO2(g) + S(s) The sulfur forms a cloudy yellow-white precipitate during the reaction. The time taken for this to achieve a given cloudiness provides a way to measure the reaction time. This type of reaction is a precipitation reaction where an insoluble substance is formed (precipitate). Method 13 1. Using a measuring cylinder, add 50 cm3 of dilute sodium thiosulfate solution to a conical flask. 2. Place the conical flask on a piece of paper with a black cross drawn on it. 3. Using a different measuring cylinder, add 10 cm3 of dilute hydrochloric acid to the conical flask. Immediately swirl the flask to mix its contents, and start a stop clock. 4. Look down through the reaction mixture. When the cross can no longer be seen, record the time on the stop clock. 5. Measure and record the temperature of the reaction mixture, and clean the apparatus as directed by a teacher. 6. Repeat steps 1 to 5 with different starting temperatures of sodium thiosulfate solution. Results Record the results in a table. This table gives some example results. Temperature of reaction mixture (°C) Reaction time (s) Reaction rate 1000/s 18 80 12.5 29 57 17.5 42 32 31.3 49 20 50.0 Analysis 1. Calculate 1000/time for each temperature. This value is proportional to the rate of reaction. 2. Plot a graph to show: • reaction rate (/s) on the vertical axis • temperature (°C) on the horizontal axis • draw a curve of best fit 14 A graph showing reaction rate to temperature. Question Describe the effect of increasing the temperature of the reaction mixture on the rate of reaction. Use your graph to help you. Answer The rate of reaction increases as the temperature increases. The rate increases by a greater amount at higher temperatures. Question Suggest a reason why the same person should look at the black cross each time. Answer Different people may decide that they cannot see the cross at different amounts of cloudiness, leading to errors in deciding when to take the reaction time. 15 Hazards, risks and precautions Evaluate the hazards and the precautions needed to reduce the risk of harm. For example: Hazard Possible harm Possible precaution Hot sodium thiosulfate solution Burns to the skin Do not heat above 60°C Sulfur dioxide Can cause irritation to the eyes and lungs, particularly to people with asthma Make sure the room is well ventilated, avoid breathing directly over the top of the flask 16 3) Effect of surface area: The rate of a chemical reaction can be raised by increasing the surface area of a solid reactant. This is done by cutting the substance into small pieces, or by grinding it into a powder. If the surface area of a reactant is increased: • more particles are exposed to the other reactant • there are more collisions • the rate of reaction increases Compared to a reaction with lumps of reactant, the graph line for the same reaction but with powdered reactant: • has a steeper gradient at the start • becomes horizontal sooner This shows that the rate of reaction is greater when the surface area is increased. Explosions An explosion is a very fast reaction that releases a large volume of gaseous products. There is a danger of explosion in factories that handle powdered, flammable substances. These substances include custard powder, flour and powdered sulfur. 17 4) Effect of light: Reactions that are initiated by light are called photochemical reactions. The brighter the light, the faster the reaction. Photograph in a tray of developing fluid Photography One example of a photochemical reaction is the use of silver halide salts (eg silver chloride) in black and white photography. Silver chloride is sensitive to light and breaks down to form metallic silver, which appears black. This is because the silver ions, Ag+, become silver atoms, Ag. The brighter the light falling on the photographic film or paper, the faster the reaction - and the darker that part of the (negative) image appears. Photosynthesis In photosynthesis (the chemical change that occurs in the leaves of green plants), light energy is absorbed by the green pigment chlorophyll. This allows the reaction between carbon dioxide and water to take place, producing glucose and oxygen. 18 5) Effect of catalysts: The rate of a reaction can be increased by adding a suitable catalyst. A catalyst is a substance which speeds up the reaction but is unchanged at the end of the reaction. Only a very small amount of catalyst is needed to increase the rate of reaction between large amounts of reactants. A catalyst is specific to a particular reaction: • different catalysts catalyse different reactions • not all reactions have suitable catalysts This table summarises some common catalysts used in industry and the reactions they catalyse: Catalyst Reaction catalyzed Iron Making ammonia from nitrogen and hydrogen Platinum Making nitric acid from ammonia Vanadium(V) oxide Making sulfuric acid 19 The effect of catalyst on the rate of a chemical reaction A picture of a particles of gaseous molecules or molecules/ions in solution undergoing a chemical changes on the surface of a catalyst • Catalysts increase the rate of a reaction by reducing the activation energy. • The activation energy is the minimum amount of energy required to start a reaction. • They have the advantage of bringing about reactions at normal temperatures and pressures which would otherwise need more expensive and energy-demanding equipment. 20 Therefore at the same temperature, using a catalyst, more reactant molecules have enough kinetic energy to react compared to the uncatalysed situation. The catalyst does NOT increase the energy of the reactant molecules! Neither does a catalyst increase the frequency of reactant particle collisions. Many solution or gaseous catalysed reactions involve a solid catalyst. The reactant molecules are adsorbed onto the surface, and this 'sticking on to the surface' enables the bonds of the reactant molecules to be more easily broken. This is actually what 'lowering of the activation energy' means at the molecular level. Although a true catalyst does take part in the reaction and may change chemically temporarily, but it does not get used up and can be reused/regenerated with more reactants. It does not change chemically or get used up in the end. 21 Experimental methods for investigating the effect of a catalyst on the rate of a chemical reaction • The apparatus can be used to investigate how the speed of the decomposition of hydrogen peroxide varies with different catalysts. o o o o o o o Oxygen gas is given off which can be collected in the gas syringe and its volume is used to measure how fast the reaction is going. In the diagram above, the white 'blobs' represent oxygen gas being evolved and the grey lumps the catalyst powder. hydrogen peroxide == catalyst ==> water + oxygen 2H2O2(aq) ====> 2H2O(l) + O2(g) MnO2 Manganese(IV) oxide (manganese dioxide'), is a very effective catalyst, but can also try other transition metal oxides as catalysts like CuO copper(II) oxide. The variables to be kept constant are - the concentration of the hydrogen peroxide solution, the volume of the hydrogen peroxide, the same amount of catalyst (ideally of the same particle size) and the temperature of the reaction mixture. You must also swirl the flask gently to ensure a good mixing as the reaction proceeds. 22 • GraphA (for a faster reaction) represent using a catalyst, but in GraphB (a slower reaction) a less effective catalyst is used. 23 Activation energy, catalysts and reaction profiles Reaction profile diagram Comments related to the reaction activation energy and use of a catalyst An exothermic reaction with a small activation energy The reaction may go very well without a catalyst at a practical temperature, perhaps even at room temperature An exothermic reaction with a moderately high activation energy. This reaction might benefit from using a catalyst if a suitable one is available An endothermic reaction with a big activation energy This reaction would benefit from using a catalyst e.g. to avoid using an excessively high temperature, catalysts used to crack crude oil into useful fractions 24 Enzymes Enzymes are biological catalysts – protein molecules that speed up chemical reactions. They catalyse chemical reactions in living cells such. Examples of these chemical reactions are: • • • Respiration Photosynthesis Protein synthesis catalase is an enzyme that Catalyzes the breakdown of potentially harmful hydrogen peroxide to water and oxygen. Important in respiration metabolism chemistry. 2H2O2(aq) ==> 2H2O(l) + O2(g) The optimum pH value for catalase to work effectively is approximately 7. Zymase is an enzyme used in the production of alcohol and Amylase is an enzyme used in the digestion of food. Enzymes are specific. This means that they can only catalyse one reaction. The shape of an enzyme determines how it works. Enzymes have active sites that substrate molecules (the substances involved in the chemical reaction) fit into when a reaction happens. The active site has to be the right shape for the substrate molecules to fit into. This means that enzymes have a high specificity for their substrate – a particular type of enzyme will only work with one or a smaller number of substrates. The animation shows how this works: The mechanism involved is called the 'lock and key' mechanism. Just as a lock will only accept one key, an enzyme will only accept one substrate 25 Enzyme-catalysed reactions Enzymes work best at particular temperatures and pH values. Enzymes and temperature At low temperatures, enzyme reactions are slow. They speed up as the temperature rises until an optimum temperature is reached. After this point the reaction will slow down and eventually stop. The graph shows what happens to enzyme activity when the temperature changes. In the example above, enzyme activity increases steadily between 0 ºC and 40 ºC. It peaks at 40 ºC (the enzyme's optimum temperature) then decreases rapidly. This is because the enzyme gets denatured at temperatures above the optimum. 26 Enzymes and pH Different enzymes work best at different pH values, their optimum pH. Many enzymes work fastest in neutral conditions. Making the solution more acidic or alkaline will slow the reaction down. At extremes of pH the reaction will stop altogether. Some enzymes, such as those used in digestion, are adapted to work faster in unusual pH conditions. For example, stomach enzymes have an optimum pH of 2, which is very acidic. The graph shows what happens to enzyme activity when the pH changes. In the example above, enzyme activity increases between pH 4.5 and pH 8. It peaks at pH 8, then decreases. 27