CHEMICAL EQUILIBRIUM Teacher's Guide Steady Unsteadiness Objectives Students should be able to: 1 . State the Second Law of Thermodynamics. 2. Identify the implications of the regularity "energy runs downhill" to chemical reactions. 3. Identify systems in a steady state. 4. Identify closed systems. 5. Describe at least two explanations for macroscopic properties becoming constant during a chemical reaction. 6. Describe what is meant by the term dynamic chemical equilibrium. Program Description When the flask is shaken, oxygen dissolves in the water and oxidizes the colorless reduced form of methylene blue, reforming the blue dye. Below is a simplified mechanism for the system. Details can be obtained from J.A. Campbell's article "Kinetics - Early and Often" listed on page 5. Explanation for Activity 2: The Thionine System Program 1 begins with a toboggan sliding down a hill, illustrating the tendency for most changes to involve movement from a state of high energy to one of low energy. The application of this regularity to chemical systems suggests that only exothermic reactions are possible. It also suggests that chemical reactions must stop. The fallacy in their conclusions is illustrated and the concepts of steady state and dynamic equilibrium are introduced. Thionine is protonated by the sulfuric acid, and then is electronically excited by the light source. The excited thionine ion oxidizes the iron(II) to iron(III). The reduced form of thionine is colorless. When the light source is turned off the excited thionine decays to its ground state. This reverses the iron reaction; iron(III) is reduced to iron(II), and the purple color of the oxidized thionine returns. A more detailed explanation is available in L.J. Hardt's article "The Photochemical Reduction of Thionine" listed on page 5. Before Viewing After Viewing Use Activity 1, The Blue Bottle, and/or Activity 2, The Thionine System, to demonstrate that chemical reactions can be reversed. Most students believe this cannot be done, so this is time well spent. Note that the development of the accepted model for either of these activities is beyond the ability of most students at this stage. However, if the activity is done in groups of four, most groups should come up with a model that i nvolves a set of reversible reactions. Use Activity 3 to show that reactions proceed and reach a point where macroscopic properties are constant. Ask students to suggest plausible explanations for the constant macroscopic properties, then show Program 1. Use Activities 4 and 5 to illustrate the difference between steady state and dynamic equilibrium. Demo 1 shows a typical steady state system, with the rate of water flowing into the can equal to the rate of water flowing out. The candle and burner flames also are steady state systems, but the input and output are not as obvious. Have students explain the "balance" in the systems. Demo 2 involves two long-term experiments. The best way to treat this demonstration is to set it up for next year and use the given observations for your current classes. Activity 5 is a logical stepping stone to Program 2. It is an excellent analogy of dynamic equilibrium. Working in pairs, students transfer colored water from their container into their partner's. By starting with different volumes of water and using different capacity vessels to transfer the water, the situation can be used to illustrate many of the features of a chemical system. Explanation for Activity 1: The Blue Bottle Glucose, a weak acid reacts with the hydroxide to form the glucoside ion which reduces the blue form of methylene blue to a colorless form. 1 2 Activity 5 is written as a student experiment. If you wish to demonstrate this activity, use beakers of different sizes to transfer the water and aquaria or large battery jars filled with different volumes of colored water. Explanation for Activity 4, Demo 2: Long-Term Experiments Set-up 1 Since the volumes continued to decrease, water must have continuously evaporated from the solutions. Thus the system must have been open to gases, in this case water vapor escaping from the jar. Since the phenolphthalein reddened in the cylinder labelled "B," then some of the sodium hydroxide was neutralized, presumably by HCI(g) escaping from cylinder "A." Note: Phenolphthalein has two color changes as pH increases: colorless to pink between 8-10 and then back to colorless around pH 14. Set-up 2 because the solution in beaker "C" was absorbing water at a much faster rate than "D." This was caused by the large difference in concentration. The solution in beaker "C" was 615 times more concentrated than that in "D" at the start. Thus the beakers tended to exchange water. The exchange should have continued until the concentrations were equal. The rate of evaporation from "D" should have started out fast and then decreased until the concentrations were equal. But in this case the situation was complicated by the water vapor diffusing into the jar. When the rate of diffusion was greater than the rate of absorption by the solution in beaker "C," the volume in "D" should have slowly begun to rise. As the concentration decreased, the rate of absorption also should have decreased; however, the concentration of the water was getting larger at the same time so the rate of evaporation should have increased until, at 21 months, the rate of evaporation and condensation became equal, or perhaps all evaporation and condensation stopped. More details can be obtained from L.W. Bixby's article "Long-Term Chemical Reactions" listed on page 5. Since the volumes of both beakers overflowed, the system must have been open to water vapor. The level in beaker "D" dropped initially Activities Activity 1: The Blue Bottle Apparatus 20 g of sodium hydroxide 20 g of glucose 1.5 mL of 1 % alcoholic methylene blue 3. Using "OH' - " to represent the sodium hydroxide, "G" to represent the glucose, and "MB" to represent the methylene blue, write equations that will account for your observations. 4. Make predictions and design experiments to test the models you developed in step 3. Check with your teacher before carrying these out. 1 L of water 250 mL Erlenmeyer flask with rubber stopper Note: Dissolve the ingredients in the litre of water. Add the sodium hydroxide just before using. Method 1 . Fill the Erlenmeyer flask a little less than half full with the solution. Stopper the flask i mmediately. 2. Shake the flask vigorously, then place it on a white sheet of paper and observe what happens. Repeat several times. 10 mL graduated cylinder 600 mL beaker Light source (overhead projector or goose neck lamp) Method Discussion 2. Develop a model for the blue bottle experiment. I ndicate the evidence on which your model is based. 3. Activity 2: The Thionine System 4. Apparatus I ron(II) sulfate heptahydrate 0.001 mol/L thionine 5. Add 10 mL of the thionine solution, 10 mL of the sulfuric acid solution, and sufficient water to bring the solution to 500 mL. Thoroughly mix in 2.0 g of iron(II) sulfate heptahydrate. Use the overhead projector to light the solution from below or use the goose neck lamp with a 250 W photoflood bulb to light it from above. Turn the light source on and observe what happens. Then turn it off and observe. Repeat several times. Using "S" to represent the sulfuric acid, "T" to represent the thionine, and "Fe 2+" to represent the iron(II) sulfate in solution, write equations that will account for your observations. 6. Make predictions and design experiments to test the models you developed in step 5. Check with your teacher before carrying these out. Discussion Develop a model for the thionine system. I ndicate the evidence on which your model is based. Activity 3: Acid/Base Demonstrations Demo 1 Slowly pour equal volumes of 1 mol/L NaOH and HCI solutions containing the indicator bromthymol blue into a beaker placed on the overhead projector. Repeat for different but equal volumes of NaOH and HCI. Try to explain why the color of the mixture remains the same. in the manometer. Again, the same two explanations are plausible. Use a syringe to inject stock hydrochloric acid containing the indicator bromthymol blue into another example of the set-up. Explain the changes in the manometer. Again, two explanations are plausible. Now add a little of the hydrochloric acid to the apparatus containing the ammonium hydroxide. Similarly, add a little of the ammonium hydroxide to the apparatus containing the hydrochloric acid. In this case the chemical reaction is obvious when the white smoke forms. Account for any changes i n the indicator and manometer. Note: It will be necessary to fiddle with the concentrations and volumes of the acid and base to get reasonable changes in the levels of the manometer. Be sure to try this experiment before you demonstrate it for the class. Activity 4: Steady State/Dynamic Equilibrium Demonstrations Demo 1 Place a burning candle and a lit Bunsen burner on the demonstration desk. Thirdly, set up the apparatus as shown in Figure 2. Ask students to account for the "balance" in the three systems. Note: Use a fairly crude knife edge for the fulcrum, otherwise it is very difficult to maintain the balance. Ask students to compare the three systems. How are they the same? How are they different? Figure 2 Note: There are two plausible explanations: that the reaction has stopped, and that there are opposing reactions occurring at equal rates. Demo 2 Use a syringe to inject stock ammonium hydroxide containing the indicator bromthymol blue into the apparatus shown in Figure 1. Explain the changes 3 4 Demo 2 Make a transparency of the two experimental setups described below, or better still, actually set them up. Include the following: Set-up 1 Forty millilitres of 0.3 mol/L HCI was added to a 100 mL graduated cylinder labelled "A." Ten millilitres of a 1 mol/L NaOH solution containing the indicator phenolphthalein was added to a second 1 00 mL graduated cylinder labelled "B." The two cylinders were sealed in a large jar and observed weekly for two years. The solutions in both graduated cylinders decreased continually over the period of 24 months. After 13 months the solution in cylinder B reddened. Set-up 2 One hundred and fifty millilitres of saturated ( 6.15 mol/L) NaCl was placed in a 250 mL beaker l abelled "C." One hundred and fifty millilitres of 0.01 mol/L NaCl was placed in a second 250 mL beaker labelled "D." The two beakers were sealed i n a large jar and observed weekly for two years. After 13 months beaker "C" was filled and then overflowed by 30 mL or more into the jar. The l evel in beaker "D" initially dropped, but it too also eventually overflowed. After 21 months there was no apparent change. Ask students to come up with plausible explanations for these observations. Help them focus their attention on the principles learned in Program 1 with questions such as "How is the system closed?" "How is the system open?" "Were the systems at equilibrium?" "At a steady state?" products (p). I n this way you can simulate the reaction where one reactant decomposes into two products. If possible, move the fulcrum position to one side. This enables you to simulate a situation where there is more product than reactant at equilibrium. Add the appropriate number of tiles to each pan to achieve a balance. Then challenge the students to think of another way the balance could be maintained. Obviously, if one (r) tile were removed from one side and two (p) tiles were removed from the other side, the system would remain balanced. But that is not how a chemical system works. Reactants are changed into products, and as soon as that happens the system is no longer balanced. However, if as one (r) tile were transferred to the product side, two (p) tiles were removed and one (r) tile was added to the reactant side, balance would be maintained. This would simulate a steady state with the continuous removal of products and the continuous addition of reactants. Another way to maintain balance is, of course, to switch one reactant tile for two product tiles. In this way both the reaction and its reverse would have to occur and their rates would have to be equal. Activity 5: A Model for Chemical Equilibrium I n this activity you will simulate a system approaching chemical equilibrium. Your task is to determine if the simulation is a good model for a chemical system at equilibrium. Apparatus Demo 3 Use an equal arm balance and some small bathroom tiles to simulate a system at equilibrium. Label one set of tiles reactants (r) and, if possible, another set - half the mass of the former = Two 150 mL beakers Two plastic rulers Two pieces of glass tubing of different diameters, 10-15 cm long 1 0 mL graduated cylinder Water with blue food coloring Water with yellow food coloring Method 1 . Put some blue colored water in one beaker and some yellow colored water in the other. The only restriction is that the total volume of the two is 100 mL. 2. Work in pairs. Transfer water from B, the blue beaker, using one of the pieces of glass tubing, to Y, the yellow beaker. At the same ti me your partner should transfer water from Y to B using the other piece of glass tubing. Be sure to keep the glass tube vertical at all times. 3. Use the rulers to record the height of the water in each beaker after every five exchanges. 4. Continue transferring water until you have three successive readings that are the same. 5. When the heights remain constant measure the volume transferred by each glass tube. 6. Repeat steps 1-5 for different volumes of blue and yellow water, but keep the total volume 100 mL. Observations TIME HEIGHT OF WATER HEIGHT OF WATER BLUE BEAKER YELLOW BEAKER ( 5 exchanges) ( mm) ( mm) 1 2 3 etc. Further Reading Discussion 1. What are the following analogous to in a chemical reaction? The height of the water in the two beakers; the transfer of water from one beaker to another; two pieces of glass tubing of different diameters; the coloring in the water; the volume of water transferred; the volume of water transferred when the height remains constant. 2. What evidence suggests that you reached a point of equilibrium in this activity? You should be able to think of two key observations. 3. What property of the system determines the final height of the water in the beakers? What would this be analogous to in a chemical reaction? 4. Plot height of water versus time in units of five exchanges. (a) Describe the graph in words. (b) What is the significance of the horizontal part of the graph? (c) What would be the significance of the slope of a tangent drawn at any point on this graph? (d) What happens to the slope of the tangent as the system approaches equilibrium? What does this imply? (e) The implications of (d) contradict what is actually happening; you can still see water being transferred from one beaker to another. Explain how it is possible for the graph to suggest that the reaction has stopped even though you can see it going on. 5. Consider the following gaseous reaction: Bixby, L.W. "Long-Term Chemical Reactions. Parts I & If. " Chemistry. September and October 1976. Campbell, J.A. "Kinetics - Early and Often." Journal of Chemical Education. Vol 40. No. 11. November 1963. (a) (b) (c) Plot a graph of the data. Describe the graph in words. Explain why the graph has the shape it has. (d) What is the significance of the horizontal part of the graph? (e) What would be the significance of the slope of a tangent drawn at any point on this graph? (f) What happens to the slope of the tangent as the system approaches equilibrium? What does this imply? ( g) Use the analogy to explain the changes in the slope of the tangents. 6. Is this analogy a good model for chemical equilibrium? Explain your answer. Hardt, L.J. "The Photochemical Reduction of Thionine: A Reversible Reaction." Journal of Chemical Education. Vol 26. No. 25. 1949. Parry, Robert W. et al. Chemistry: Experimental Foundations. Englewood Cliffs, New Jersey: Prentice-Hall, 1970. Rowley, Wayne R. E. Matter in Balance: Chemical Equilibrium. Toronto: Wiley, 1979. Sienko, Michell J., and Robert A. Plane. Chemistry. New York: McGraw-Hill, 1976. Toon, E.R., and G.P. Ellis. Foundations of Chemistry. New York: Holt, Rinehart and Winston, 1973. One mole of C12 was added to 2 mol of CO in a 1 L container. The concentration of the three gases was measured using a spectrophotometer every minute. The following data were recorded: 5 6 Dynamic Equilibrium Objectives Students should be able to: 1. Describe a system at equilibrium macroscopically and microscopically. 2. Use the Kinetic Molecular Theory to explain why a "dynamic" model for chemical equilibrium is the most reasonable explanation for the observations. 3. Describe the types of motion of molecules in the gaseous phase. 4. Describe the changes in concentration of the reactants and products as a chemical system approaches and reaches equilibrium. 5. Interpret the "double arrow" conventions. 6. Identify data that supports a dynamic model for chemical equilibrium. Program Description Program 2 begins with a review of the tendency towards minimum energy and the observation that in a closed system a chemical reaction appears to have stopped. The reaction betwee n N02 and Nz04 i s used to l ustrate the reversibility of chemical reactions. A quantitative look at the eaction between hydrogen and iodine follows. The analysis of the , ystem shows both reactants and products are present when the eaction appears to have stopped. It also shows that this point - the Activities Activity 1: Testing the Dynamic Model I n this activity you will gather indirect evidence to support the dynamic model for chemical equilibrium. It is not possible to see what is happening on a microscopic scale, but it is possibie to check if the reaction and its reverse occur and if both reactants and products are present at equilibrium. The two systems you will study are: point of equilibrium - can be reached by starting with the product, hydrogen iodide. But the puzzle of how to describe the system at this point remains. Has the reaction stopped, as the macroscopic properties suggest, or is there a dynamic equilibrium with reactions occurring in two directions? To resolve this puzzle students are reminded that a kinetic model is used to describe matter which supports the dynamic description of the equilibrium point. In addition, they are presented with empirical data that is difficult to explain without assuming a dynamic equilibrium between the forward and reverse reaction for the hydrogen/iodine/hydrogen iodide system. Before Viewing Use the discussion of Demonstration 3 in Activity 4, and Activity 5 in Program 1 as an introduction to Program 2. The questions that remain should be "Are the analogies a good way to view chemical equilibrium?" and "What evidence is there to support a dynamic model?" After Viewing Have students complete Activity 1. This enables them to gather indirect evidence for the dynamic model and to practise using it to describe a physical change and a chemical change. The formation of a black precipitate when sodium sulfide is added is used to identify lead i ons in solution. The addition of silver nitrate and the formation of a pale yellow precipitate is used to identify the bromide ions in solution. The silver bromide that is formed darkens when exposed to li ght. Iodine vapor can be identified by its characteristic pink color. Apparatus 1 mol/L NaBr solution (102.9 g NaBr/L) * in dropping bottles Short-stemmed funnel and filter paper Small test tube 150 mL beaker Wash bottle filled with distilled water Piece of acetate and a sheet of white paper A glass rod * All solutions must be made with distilled water. Part B Small corked test tube containing a few crystals of iodine Large beaker containing hot (70-90°C) water Hot plate Method Part A 1 . Add approximately 1 cm of the sodium bromide solution to the test tube. 2. Add an equivalent volume of lead nitrate solution to the test tube. Caution: Wear disposable gloves. The white precipitate that forms is lead bromide. 3. Fold the filter paper into a cone and place it in the funnel. The funnel is held by the 150 mL beaker. 4. Stir the contents of the test tube and transfer them onto the filter paper. Use the wash bottle to ensure that all of the solid is transferred to the filter paper. 5. Wash the lead bromide on the filter paper twice using approximately 2 cm of distilled water in the test tube each time. 6. Put the acetate sheet over a piece of white paper. 7. Use the glass rod to transfer as much of the l ead bromide as possible from the filter paper to the acetate sheet. 8. Cover the solid lead bromide with distilled water. Mix the solid and water with the glass rod. Call this mixture 1. Let the mixture sit until you need it in step 13. 9. On another section of the acetate sheet put a drop of the lead nitrate solution. Add to it a drop of sodium sulfide solution. Record any changes. 10. On another section of the acetate sheet put a drop of the sodium bromide solution. Add to it a drop of the silver nitrate solution. Record any changes. 1 On another section of the acetate mix a drop of the sodium bromide and lead nitrate solutions. Call this mixture 2. Allow the solid to settle and then divide the mixture into two equal parts using the glass rod. 12. To one part of the mixture add a drop of the sodium sulfide solution. To the other part add a drop of the silver nitrate solution. Record any changes. 13. Divide the mixture produced in step 8 ( mixture 1) into two equal parts. To one part add a drop of the sodium sulfide solution. To the other part add a drop of the silver nitrate solution. Record any changes. 14. Dispose of the filter paper as directed by your teacher. Rinse the acetate sheet, test tube, beaker, and glass rod with running water. Do not forget to wash your hands after cleaning up. Lead compounds are toxic. Part B 1 . Use the hot plate to heat water until it is between 70 0 and 90 1C. Several pairs of students can use the same hot water bath. 2. Hold the bottom of the test tube in the hot water until the amount of iodine vapor remains constant. 3. Remove the test tube from the hot water and observe what happens. 4. Repeat steps 2 and 3 several times. 5. Return the corked test tube to your teacher. Do not attempt to clean out the test tube. Observations Part A Mixture 1 is formed by adding distilled water to l ead bromide. Mixture 2 is formed by mixing lead nitrate and sodium bromide. Part B Describe the original contents of the test tube and any changes that occurred as a result of heating and cooling the tube. Discussion Part A 1 . Describe a test for lead ions in solution. Write a balanced chemical and ionic equation for the test. 2. Describe a test for bromide ions in solution. Write a balanced chemical and ionic equation for the test. 3. Write a balanced chemical and ionic equation to describe the formation of a white precipi tate when solutions of lead nitrate and sodium bromide are mixed. 4. What are two plausible explanations for the fact that the amount of white precipitate formed when lead nitrate and sodium bromide are mixed does not seem to change on standing? 7 8 5. What is implied by the observations made when sodium sulfide and silver nitrate are added to mixture 2? 6. Explain why it is hard to accept the "stopped" model for equilibrium based on the observations made when sodium sulfide and silver nitrate are added to mixture 2. 7. What is implied by the observations made when sodium sulfide and silver nitrate are added to mixture 1 ? 8. Explain why the indirect evidence supplied by the observations made when sodium sulfide and silver nitrate are added to mixture 1 build our confidence in the dynamic model. 9. Write a balanced chemical and ionic equation for a reaction that would account for the observations made when sodium sulfide and silver nitrate are added to mixture 1 . 10. Based on the observations write a balanced chemical and ionic equation to describe the two mixtures. Interpet all symbols used. 11. Describe what you think is happening, on a microscopic scale, in these mixtures. Part B 1 . Write an equation to describe the physical change that produced the purple vapor when the test tube was heated. 2. Write an equation to describe the physical change that produced the needle-like crystals in the upper region of the test tube when it was removed from the hot water. 3. What evidence suggests the changes in 1 and 2 were changes of state and not chemical changes? 4. What are two plausible explanations for the fact that the amount of purple vapor remains constant even though the test tube remains in the hot water and there is still solid iodine at the bottom of the test tube? 5. What evidence makes it hard to accept the "stopped" model? 6. Write an equation to describe the system when the amount of purple vapor remained constant. Interpret all symbols used. 7. Describe what you think is happening on a microscopic scale when the pink color in the test tube remains constant. Parts A and B 1. What is meant by the term "dynamic" when applied to the concept of chemical equilibrium? 2. Why is a double arrow I used in a chemical equation to describe a chemical system at equilibrium? 3. What evidence suggests that the dynamic model is the best description of a chemical system at equilibrium? Further Reading Alyea, Hubert N., and F.B. Dutton. Tested Demonstrations in Chemistry. Easton, Pennsylvania: Chemical Education Publishing Co., 1965. Parry, Robert W et al. Chemistry: Experimental Foundations. Englewood Cliffs, New Jersey: Prentice-Hall, 1970. Rowley, Wayne R.E. Matter in Balance: Chemical Equilibrium. Toronto: Wiley, 1979. Toon, E.R., and G.P. Ellis. Foundations of Chemistry. New York: Holt, Rinehart and Winston, 1973. Reaction Kinetics Objectives Students should be able to: 1 . Describe experimental evidence that supports a molecular distribution of energies within a sample of gas. 2. Define the term activation energy. 3. Describe the effect of temperature on the molecular distribution of energies. 4. Use an example to explain what is meant by the term chain mechanism. 5. Draw energy pathways for endothermic and exothermic reactions. 6. Label the following on an energy pathway: activation energy; total energy released; and the net energy required or released by a chemical reaction. 7. Use the energy concepts to explain how a reaction and its reverse end up in a dynamic equilibrium. Program Description Program 3 begins with a review of the meaning of the term dynamic equilibrium. Then a problem is posed: "Why is it that under one set of conditions the equilibrium point will involve very few product molecules, but under other conditions it will involve almost complete conversion of the reactants to products?" The example used is the chlorine/hydrogen/ hydrogen chloride system. A more detailed application of the kinetic theory to chemical systems follows. The molecular distribution of kinetic Activities Activity 1: A Collision Model for Chemical Reactions Set up two stoppered test tubes, each with 2 cm of solid potassium iodide on top of 2 cm of solid lead nitrate. If the test tubes are set up several days in advance, a yellow line will appear at the point of contact between the two solids. energy and its relationship to temperature, activation energy, and reaction mechanisms is introduced and is used to explain how hydrogen and chlorine can exist in the dark, forming very little hydrogen chloride; but add a little daylight and almost all the hydrogen and chlorine is transformed into hydrogen chloride. Energy graphs are used to illustrate energy changes in exothermic and endothermic reactions and how one influences the other in a system at equilibrium. The program concludes by asking a question that opens the door to explore the effects of other factors on the equilibrium point, such as concentration and pressure. The question provides the logical link to the next program. Before Viewing Review the meaning of steady state and dynamic equilibrium and why chemists believe most chemical reactions proceed to a state of dynamic equilibrium. Use Activity 1 to show that a collision must occur before a reaction can take place. Review the basic assumptions of the collision theory and the factors that affect the rate of a chemical reaction. Use Activity 2 to show that many chemical reactions involve a series of steps. These demonstrations set the stage for the introduction of the collision and mechanism models presented in Program 3. After Viewing Use Activity 3 to consolidate the ideas presented in the program. Discuss the answers as they will help to form a bridge between Programs 3 and 4. Pass the two tubes around the class. Allow students to shake one but not the other. They should be able to see that yellow lead iodide only forms when the two solids come in contact. This point can be made dramatically by adding water to the test tube, thus dissolving the solids. When dissolved the contact area is increased tremendously and the contents of the test tube i nstantaneously turn bright yellow. This is a good reaction to show students because most believe reactions do not take place between solids. It also illustrates the basic assumption of the collision theory that reactants must come in contact or collide before a reaction takes place. Activity 2: A Mechanism Model for Chemical Reactions Since most of the students' experience has been with reactions that appear to go in a single step, it is worth the time to show them some of the evidence that suggests that a better way to describe most chemical reactions is with a series 9 10 of simple reactions or steps called the mechanism of the reaction. Demo 1 Add a drop of aqueous iron(III) chloride to a solution of sodium thiosulfate (concentrations are not critical) in a petrie dish on the overhead forms and projector. A black complex, slowly disappears, leaving a pale yellow solid, colloidal sulfur. Be prepared to show that the observations are not due to simple diffusion. This is accomplished by adding a drop of iron solution to a second petrie dish containing just water. This is an excellent opportunity to discuss plausible explanations and then design experiments to test them. Do not spend time presenting or trying to develop the mechanism for this reaction. Just use it to help establish that most chemical reactions can be pictured as a series of simple steps which add up to the overall reaction. The next demonstration will help you drive this point home. Demo 2 To avoid problems when conducting this demonstration, only make as much solution as you will need for your classes plus a couple of trials; make up the solutions the night before you intend to use them. The concentrations of the three solutions are as follows: To produce C make a slurry of the starch and enough water to cover the starch in a mortar. Use the pestle to mix the two well. Pour the slurry into approximately 500 mL of boiling water. Turn off the heat and stir well. Allow the colloidal starch dispersion that forms to cool while you make up solutions A and B. If necessary, add ice to cool the dispersion to room temperature. Add sufficient water to bring the total volume up to 1 L. Add the 15 g of sodium hydrogen sulfate(IV) and allow it to dissolve. Step 1. 2. Caution: Do not add the sodium hydrogen sulfate(IV) to the hot dispersion. If you plan to keep solution C for more than a day or two add 1 g of salicylic acid and 10 mL of ethanol for every litre of solution. Label two Erlenmeyer flasks 1 and 2. Use the chart below to obtain the volumes of A, B, C, and water. Use four graduated cylinders, one for each of the components, to avoid contamination. When all of B is used up then step 3 can take place: Add the appropriate volumes of A, B, and water to flasks 1 and 2. Have the students predict the relative rates of the reaction in the two flasks. They should predict flask 1 to be the faster of the two because the concentration of B has been reduced in flask 2. Review why the total volume was kept constant. Swirl the flasks to ensure that the reactants are well mixed and add 20 mL of C simultaneously to each of the flasks. Continue to swirl. An orange precipitate will appear in flask 1 first. But just as the students begin to feel that flush of success that comes from being right, flask 2 will turn jet black, followed shortly by flask 1. Who won? How is it possible that the orange precipitate could form first in flask 1 but the black appear first in flask 2? Divide the students into groups of four. Tell them to represent the solutions by the letters A, B, and C and ask them to develop a model that will account for what they have seen. The following is typical of what they will produce: You could tell students the ingredients but that would just stifle the creative process as they try to recall appropriate chemical reactions. Remember that the purpose of this exercise is not to teach the mechanism of this reaction but to establish that it is reasonable to think of a reaction as i nvolving a series of steps. Activity 3: Reaction Kinetics The following questions will help you review the terms and concepts of the rates of chemical reactions. Some of them ask you to apply the rate concepts to a chemical system at equilibrium. Basic Terms and Concepts 1. Define the following terms: endothermic; exothermic; activation energy; activated complex; rate of reaction; and mechanism of a chemical reaction. 2. Describe a chemical system at equilibrium in terms of rates of reactions. 3. (a) List the four factors that determine the rate of a reaction. ( b) Use the collision theory to explain on a microscopic scale how each of the factors affects a chemical reaction. Energy Pathways 1. (a) Draw and label the energy pathway for the following reactions: Label the type of reaction (exo- or endothermic); the position of the reactants and products; the activated complex; the activation energy; the total energy released; and the net energy produced or used by the reaction. (b) Use the diagram to explain how a reaction and its reverse end up in dynamic equilibrium. 2. The following energy pathway, Figure 3, describes the energy changes for the reaction: (a) Complete the following chart for the steps of the reaction mechanism. Actual values are not required. Compare one step to the other using terms such as larger and slower. (b) What is the rate-determining step for this reaction? (c) Explain why the reaction mechanism is a better model for what happens on a microscopic scale during this reaction than the net equation. Molecular Distribution of Kinetic Energy 1. (a) Draw and label the curve that shows the distribution of kinetic energies in a sample of gaseous molecules at room tempera ture. (This distribution is called the Maxwell-Boltzmann Distribution.) Show what happens to the shape of the curve when the temperature is increased. (Use a different color.) ( b) Mark the activation energies of the reactions in question 1(a) Energy Pathways on the distribution curve. (c) Use the diagram in 1(b) to explain why you would expect more of the products of the exothermic reaction at equilibrium than those of the reverse endothermic reaction. (d) Use the diagram in 1(b) to predict which of two reactions will be most affected by an i ncrease in temperature. Implications for Equilibrium 1. Consider the effects on the rate of formation of hydrogen iodide if the concentration of hydrogen were increased. Use these changes to predict what will happen if some hydrogen is added to a container holding iodine and hydrogen in equilibrium with hydrogen iodide. In your prediction describe the changes in the amounts of iodine and hydrogen iodide at equilibrium. 2. Use an argument based on rates of reactions to predict the effect of a catalyst on the 11 12 amounts of reactants and products at equilibrium. 3. The formation and decomposition of hydrogen i odide are second-order reactions. (a) Write a rate expression for each reaction. ( b) How will the rates of the two reactions compare when hydrogen iodide is in equilibrium with hydrogen and iodine? State your answer mathematically and in words. (c) Use the mathematical statement to show that at equilibrium there exists a ratio of concentrations of reactants and products that equals a constant. ( d) What are the only variables that will alter the value of the constant developed in (c)? Further Reading Alyea, Hubert N., and F.B. Dutton. Tested Demonstrations in Chemistry. Easton, Pennsylvania: Chemical Education Publishing Co., 1965. Huff, George E. Molecules in Motion. Toronto: Wiley, 1976. Laidler, Keith J. Chemical Kinetics. New York: McGraw-Hill, 1950. Mahan, Bruce H. University Chemistry. Reading, Massachusetts: Addison-Wesley, 1965. Parry, Robert W. et al. Chemistry: Experimental Foundations. Englewood Cliffs, New Jersey: Prentice-Hall, 1970. Toon, E.R., and G.P. Ellis. Foundations of Chemistry. New York: Holt, Rinehart and Winston, 1973. Reaction Tendencies Objectives Before Viewing Students should be able to: Use the overhead to show the constant macroscopic properties in the tubes. Have the students describe the systems on both a macroscopic and microscopic scale. Have them write an equation to describe the processes occurring in the tubes. Review the effects of temperature, a change in volume, and concentration on the rate of a chemical reaction, and use this data to predict what will happen if these same variables are applied to a system at equilibrium. Make the predictions and then demonstrate what happens. As part of the predictions and demonstrations complete Activity 1 . Ask the students to deduce a general principle based on what they have observed, then show Program 4. 1. State Le ChMelier's Principle. 2. Apply Le Chatelier's Principle to predict and explain how the stresses of heat and pressure affect a given system of equilibrium. Program Description Program 4 begins with a review of the concept of dynamic equilibrium. The effect of a stress on a system at equilibrium is introduced using an analogy. Credit for applying this common-sense approach to chemical systems is given to Le Chatelier. The effects of the stresses of heat and pressure are illustrated and accounted for. Le Chatelier's Principle is used to predict the shift in the position of equilibrium. The program ends by establishing a need for knowing the effect quantitatively. Activities Activity 1: Pressure Effects The following can be demonstrated with a 50 mL translucent plastic syringe on the overhead or it can be a student activity using 1 mL disposable syringes held over a white sheet of paper. The syringes are sealed by heating the plastic at the needle end in a flame and squeezing it shut with a pair of tongs. Write the following equation on the chalkboard: After Viewing Review Le Chatelier's Principle. Have the students review what happens i n the demonstrations you showed them before the program. Redo them if they cannot recall the observations. Complete Activities 2 and 3. Activity 3 provides the link with Activity 1 in Program 5. Ask the students for ways to change the concentration of the participants. Obviously keeping the volume constant and adding more of one will change its concentration. However, it is also possible to alter the concentration of both by changing the volume of the container. Ask the students which reaction, the forward or the reverse, will be altered the most by a change in volume. If their first guess is that both will be changed equally, do not evaluate it but ask for the rate expression for the formation of N02 and for N204, assuming that the reactions occur microscopically as written. Write the following on the chalkboard: Now ask the question again. It should be more obvious that a compression that halves the volume would double the concentration of each species, but that the rate of formation of N204 would be four times what it was while the rate of formation for N02 would only be doubled. Thus there would be a build up of N204 until the rates of formation were once again equal. At this new equilibrium there would be more N204 and less N02 than before the compression. Reasoning this way, the students would predict that a compression, 13 14 increasing the pressure, would cause the intensi of the reddish-brown color to fade. Once the nrediction is estahlished fill the To demonstrate the effect, syringes with quickly push the piston in halfway and hold it. At first glance the only apparent change is an increase in the intensity of the reddish-brown color, the opposite to what was predicted. Repeat the procedure. Push the piston in quickly, hold it at the halfway point, pause until the color remains constant, then quickly pull it out. Be careful not to completely remove the piston. Careful observation will reveal that the intensity increases when you push the piston in and then fades. Similarly, quickly pulling the piston out causes the intensity to fade initially and then darken. Ask the students for plausible explanations but don't evaluate them. Program 4 uses an excellent analogy that will help them account for their observations. To generate the use a gas generator or a l arge test tube fitted with a one-hole rubber stopper. Insert a glass tube that has been bent approximately 100 ° and drawn out to a point into the rubber stopper. This allows you to place the glass tube into the barrel of the small syringe, l etting it fill from the bottom up. Add a small volume of concentrated nitric acid and small pieces of copper wire to the test tube. Stopper the test tube and fill the syringes with qas. Caution: Nitric acid is corrosive; wear protective gloves. NO2 is toxic; fill the syringes in a fumehood. Add small pieces of copper so you only produce as much gas as you want. The reaction can be stopped by adding water to the test tube. Be sure to wash your hands when you are finished. Because the syringes are very quickly stained by the gas it is not possible to fill them in advance. This also means that a disposable syringe can be used only once or twice. Thus you will need a large supply of them. If your doctor gives allergy shots she or he may be willing to save used 1 mL syringes for you. The large 50 mL syringes can be purchased through a pharmacy. Activity 2: Pressure Temperature Effects Demo 1 Review Le Chatelier's Principle. Have the students give you the equation that describes the equilibrium in a water/ice mixture. Ask them to predict the effect of increasing the pressure on this system. Have a model of ice available so you can ill ustrate why water expands when it freezes. This i s a good opportunity to review some of the ideas related to the Kinetic Molecular Theory. After the prediction is established support a block of ice between two iron rings on stands. Hold a thin wire with 1 kg masses on each end over the block. Make sure the masses will not rest on the desk even after the wire passes through the ice. To avoid a mess it is also advisable to have some sort of catch basin for the water that is produced as the ice melts. Have the students apply their prediction to this situation and then let the wire hang on the block. The wire passes through the block and the masses clatter to the desk surface, but the block remains in one piece. Ask the students for plausible explanations. The melting as a result of i ncreased pressure is easy; students expect that. But why does the water refreeze? If you have i ncluded the energy requirements of this system in the equation, students should soon realize that the temperature of the ice drops when it melts. The energy required for melting has to come from somewhere. In this case it comes from the ice itself. Be sure to point out that at this stage the system is not at equilibrium but is attempting to shift to a new equilibrium. Thus when the pressure i s returned to normal, as the wire passes the water will freeze at the lower temperature, producing heat so the temperature returns to 0 ° C. It will take several minutes for the wire to pass through, depending on the thickness of the block. While you are waiting proceed with Demonstration 2. Demo 2 Place about 0.3 g (a few crystals) of crushed in a test tube and add 5 mL of ethanol. Shake vigorously until most of the solid has dissolved. If the solution is not pink, add drops of water until it just turns pink. Show the students the color by holding the test tube over the stage of the overhead projector or by pouring some of the solution into a petrie dish on the overhead. Write the following on the chalkboard: Ask the students for evidence that suggests the system is at equilibrium. Ask the students to use Le Chatelier to predict what will happen if the system is heated, then heat the solution gently in a cool Bunsen flame until it changes color. Caution: Alcohol is flammable. Place a book over the mouth of the test tube to smother the flames if the ethanol catches fire. Ask what will happen if the system is cooled, then cool the test tube by immersing it in a beaker of ice water. Activity 3: Concentration Effects This activity leads into Activity 1 in Program 5. Thus it provides a natural bridge between the two programs. The demonstration is best done on an overhead projector using petrie dishes. It can, of course, be done on the demonstration desk with test tubes or beakers but larger volumes of reagents will be required. The solutions required are the same as those required for Activity 1 in Program 5. Five petrie dishes 150 mL beaker Stirring rod Add 25 mL of KSCN solution to an equal volume of water in the beaker. Add three or four drops of the iron(III) solution into the beaker and stir. The number of drops can vary. The important point is that the color is intense enough to be seen but not so intense that the equilibrium is pushed essentially to completion. Ask the students for the ions present in the mixture and the possible combinations that might produce the stress involved, and identify the reaction that could reduce that stress. After the prediction is established demonstrate what happens. Also point out that the increase in color indicates that some iron(III) ions were present in the solution. Label the petrie dish used, "add SCN' - . " Use the same line of questioning for the stress "add Fe3+." After establishing that both reactants are present at equilibrium ask students what should be done to get the color to fade. They should reply that removing one of the reactants will shift the equilibrium to the left and the color will fade. Again, review the reasoning behind the students' answer. Point out that this would require that the reaction he reversible. Tell them that forms a complex with that will effectively tie it up, so it is removed from participating in the thiocyanoiron(III) equilibrium. Label the petrie dish, "remove Fe 3 +," and add a few crystals of Na2HP04. Now ask if anyone has noticed any other changes during the demonstration that you haven't discussed. Someone usually notices that the reference has faded. Ask for plausible explanations. Some, of course, will think you are imagining things. Show them the fifth petrie dish to establish the effect of the stress of adding heat from the projector on the thiocyanoiron(III) equilibrium. If this is not dramatic enough warm some of the solution in a Bunsen flame. Further Reading Alyea, Hubert N. and F.B. Dutton. Tested Demonstrations in Chemistry. Easton, Pennsylvania: Chemical Education Publishing Co., 1965. Choppin, Gregory R. et al. Chemistry. Morristown, New Jersey: Silver Burdett, 1978. Othen, Clifford. Rates of Reaction and Equilibria. London: Heinemann Educational Books, 1968. Parry, Robert W. et al. Chemistry: Experimental Foundations. Englewood Cliffs, New Jersey: Prentice-Hall, 1970. Parry, Robert W. et al. Chemistry: Experimental Foundations. Teacher's Guide. Englewood Cliffs, New Jersey: Prentice-Hall, 1975. Rowley, Wayne R. E. Matter in Balance: Chemical Equilibrium. Toronto: Wiley, 1979. Toon, E.R., and G.P. Ellis. Foundations in Chemistry. New York: Holt, Rinehart and Winston, 1973. 15 16 The Equilibrium Constant Objectives Students should be able to: 1. Apply Le Chatelier's Principle to predict and explain how the stress of concentration affects a given system of equilibrium. 2. State experimental evidence for Le Chatelier's Principle. 3. Use the "Dance Hall" analogy or the Kinetic Molecular Theory to account for Le Chatelier's predictions. 4. Write the mass action expression for the equilibrium constant for a given chemical system. 5. Identify evidence that supports the Law of Chemical Equilibrium. 6. State the implications of the size of the equilibrium constant. Program Description Program 5 reviews the application of Le Chatelier's Principle to chemical systems by illustrating and accounting for the changes produced by altering the concentration of the reactants or products. Le Chatelier's predictions are then shown to be consistent with the dynamic model of equilibrium. The program reestablishes the need for having a more quantitative expression for the changes and then uses empirical data to i ntroduce the equilibrium constant. The result is generalized as the Law of Chemical Equilibrium. The law is then applied to several systems and the meaning of the size of the equilibrium constant is introduced. Before Viewing Do Activities 1 and 2. Use Activity 3 in Program 4 as part of the prelab to Activity 1. See the Teacher's Guide to Chemistry: Experimental Foundations (see page 24) for suggestions to help students cope with the serial dilution required in this lab. Use Program 5 as part of the postl ab for Activities 1 and 2. Before the post-lab have students plot their depth ratio values versus the vial number on a set of axes drawn on a ditto. (See the following graph of typical results.) Run the ditto off so everyone has a set of the data. The points will vary over a fairly large vertical range. Don't be concerned; there is bound to be considerable variation due to the way the dilutions were carried out and the method used to compare the colors. Use the general shape of the curve to draw a smooth curve of "best fit." Read off the graph the "best" values for each vial number and have all students use these ratios in the remainder of the calculations. Figure 4 0.9 0.8 0.7 0.6 0.5 0.4 0.3 Vial Number Activity 1 enables students to discover that the mass action expression for a system at equilibrium is independent of the concentrations of the reactants and products. It also introduces the idea of an equilibrium constant using data gathered by the students. Activity 2 does the same thing, using data gathered by others. After Viewing Do Activities 3 and 4. Activity 3 provides students with additional applications of Le Chatelier's Principle and another method for determining the equilibrium constant. Activity 4 provides practice interpreting equilibrium constants and using them to make predictions. Activities Activity 1: Chemical Equilibrium A Quantitative Description, Part 1 I n this experiment you will take a quantitative look at the reaction which was used qualitatively in an earlier demonstration. This time you will determine the concentration of each of the ions at equilibrium, and then seek an expression that relates the concentrations mathematically in a simple, convenient manner. Such an expression would enable the quantification of Le Chatelier's predictions, a necessity if you wish to be able to predict profits and losses for an industrial process. The concentrations are determined colonmetrically. Color intensity of a solution depends upon the concentration and depth of the solution. If you add water to a cup of tea the color intensity remains constant. This is because the depth of the tea increases as the concentration decreases. The relationship is expressed as follows: the depths of solution required to make the color intensities equal. To prepare the standard solution in this activity you will use a small amount of thiocyanate ion, SCN' - , and add a large excess of ferric ion, Fe 3+ (aq). You can assume that all of the thiocyanate ion will be used in forming the complex thiocyanoiron(III) ion, FeSCN 2 +(aq). Thus the concentration of FeSCN 2 +(aq) in the standard will be equal to the starting concentration of the SCN' - ( aq). The validity of this assumption will be discussed in the post-lab discussion. Apparatus Distilled water Five flat bottom vials (must hold 10 mL) Two 10 mL Mohr pipets Pipet bulb 25 mL graduated cylinder color intensity = kCd 150 mL beaker C = concentration expressed in mol/L Diffused light source or white paper d = depth in mm Ruler k = proportionality constant Medicine dropper Thus if two solutions appear to have the same color intensity Method Thus if you know the concentration of a solution in one situation (let's call it the standard solution), you can calculate the concentration of the solution in a second situation by comparing 1. Line up five clean, dry vials. Label them 1, 2, etc. 2. Use a clean, dry Mohr pipet and pipet bulb tc transfer 5.0 mL of 0.002 mol/L KSCN i nto each of the vials. 3. 4. Add 10.0 mL of 0.2 mol/L Fe(N03)3 to the 25 mL graduated cylinder, then fill the cylinder to the 25.0 mL mark with distilled water. Pour the solution into a dry, clean 150 mL beaker to mix it. Calculate the concentration of this solution. 5. Rinse the second Mohr pipet with water and finally with a little of the solution in the beaker. Caution: You only have 10 mL excess; only use 2-3 mL to rinse the pipet. Do not return the rinse solution to the beaker; discard it. 6. Use the second Mohr pipet and bulb to transfer 5.0 mL of the solution in the beaker to vial 2. Calculate the initial concentrations of the Fe 3 +(aq) and SCN' - i n the 10 mL of solution formed in the vial. Note: One mole of yields one mole of 7. Rinse the graduated cylinder with water and finally with a little (2-3 mL) solution from the beaker. 8. Pour 10.0 mL of solution from the beaker i nto the graduated cylinder then fill the cylinder to the 25.0 mL mark with distilled water. 9. Discard any solution remaining in the beaker and rinse it with water. Dry the beaker with a paper towel. 1 0. Pour the solution in the graduated cylinder i nto the beaker to mix it. 1 1. Repeat steps 5 and 6, only this time transfer the solution to vial 3, then repeat steps 7-10. 1 2. This process is called serial dilution. Continue i t until you have 5.0 mL of successively more diluted solution in each vial. Calculate the initial concentrations of for each vial as part of your preparation for the activity. 13. Wrap a strip of white paper around vials 1 and 2. 1 4. Look vertically down through the solutions at a diffused light source. Use the medicine dropper to remove a dropper full of the standard. 17 18 15. Return some of the standard in drops until the colors match. Hold the vials close together and blink your eyes between "looks" to help avoid eye fatigue. Put the unused standard in the dropper into a clean dry beaker, since you may have to use some of this solution later. 16. When the intensity of the color in the vials matches, record the height of solution in each tube to the nearest millimetre. 17. Repeat the matching procedure with vials 1 and 3, 1 and 4, and finally 1 and 5. 2. Calculate the following for vials 2 through 5: (a) Calculate the initial concentrations of Initial means before any chemical reaction has taken place. Subscript "I" is used to denote initial concentrations. (b) Calculate the radio of depths from the color comparison. Subscript "x" is used to denote the vial number. ( d) Calculate the equilibrium concentration of Fe3+(aq) and SCN1 -(aq). [SCN'"] E = [FeSCN2+]E (e) Now try to find some simple mathematical relationship between the equilibrium concentrations that could be used to make quantitative predictions. Try calculating the following: Activity 2: Chemical Equilibrium A Quantitative Description, Part 2 This activity provides you with data to discover a general relationship for the concentrations of the reactants and products at equilibrium. Perform the Observations Discussion 1. Use Le Chatelier's Principle to explain why the assumption made to calculate reasonable. 2. Which of the combinations, (i), (ii), or (iii), gives the most constant value? To help you decide, calculate the ratio of the largest value to the smallest for each expression. 3. Restate the most constant expression in words using the terms reactants and products. A general statement of the regularity you have noted is called the Law of Chemical Equilibrium. 4. Assume that the reactions for this system occur on a microscopic scale as written. Write rate expressions for the forward and reverse reactions. Show that the idea of a dynamic equilibrium is consistent with the expression found above. necessary calculations to complete the data tables for each of the following systems. System I System I involves the following equilibrium between ethyl acetate, water, acetic acid, and ethanol: The data in the table was gathered by starting with known amounts of ethyl acetate and water. The two reactants were placed in an Erlenmeyer flask and swirled. The concentration of acetic acid at equilibrium was determined with the aid of a pH meter. Since the production of one mole of acetic acid also involves the production of one mole of ethanol (ethyl alcohol), then the concentration of acetic acid and ethanol at equilibrium would have to be the same. All trials were done at room temperature. Note: The subscripts "I" and "E" used in the table refer to initial and equilibrium concentrations respectively. For column "i" calculate: The equilibrium concentration of N02 was measured colorimetrically, similar to the method used in Activity 1. The only difference is that a spectrophotometer was used to measure the color intensity. Discussion 1. Show a sample calculation for 2. What stress caused the change in from trial 1 to trial 8? Use Le Chatelier's Principle to predict the effect of the stress. Does the data in the table support your prediction? 3. I n trials 4 and 5 1.00 mol of each of the gases was put in the vessel (at least that is the way it appears on the data table). However, this was not the way the trial was done. After equilibrium was reached in trial 4 the volume of the container was adjusted to 3 L. For column "ii" calculate: 1. Show a sample calculation for 2. The two expressions of the concentrations of the products and reactants that you calculated are called mass action expressions. Which mass action expression for equilibrium concentrations is not a function of concentration (i.e., it doesn't change when the concentrations change)? 3. Which of the three expressions is the most useful? Explain your choice. 4. Use Le Chatelier's Principle to predict the effect when water is added to the ethyl acetate system at equilibrium. Which trials support your prediction? Note: The subscripts "I" and "E" used in the table refer to initial and equilibrium concentrations respectively. For column 'T' calculate: For column "ii" calculate: System If System II involves the following equilibrium: For column "iii" calculate: ( a) What would a change in the volume do to the pressure exerted on the gases? ( b) Use Le Chatelier's Principle to predict the effect of this stress on the (c) Does the data in the table support your prediction? 4. Which of the three mass action expressions of concentrations at equilibrium is not a function of concentration? 5. Which of the three expressions is the most useful? Explain your choice. 6. What would be the mass action expression 19 20 for the following system that would not be a function of concentration? Note: Follow the convention of putting the concentration of the products over the reactants: 7. The value of the mass action expression that i s independent of concentration is called the equilibrium constant. What is the equilibrium constant for the ethyl acetate equilibrium? What is it for the nitrogen dioxide equilibrium at 142 42 0 C? At 11 5 0 C? At 70OC? 8. What two variables will alter the value of the equilibrium constant? Use the data presented Note: The subscripts "I" and "E" used in the table refer to initial and equilibrium concentrations respectively. For column "i" calculate: i n Systems I and II to answer this question. reaction was written as an 9. The endothermic reaction. In general, what effect does an increase in temperature have on the equilibrium constant for an endothermic reaction? Write a generalized statement to describe the effect of temperature on the equilibrium constant. Is your statement consistent with Le Chatelier's Principle? Explain your reasoning. 1 0. Predict the mass action expression that will equal the equilibrium constant for the following equilibrium: The equilibrium concentration of 12 was measured colorimetrically, similar to the method used in Activity 1. The only difference was that a spectrophotometer was used to measure the color intensity. All trials were carried out at 698 K. Antimony(III) chloride reacts with water to form white insoluble antimony(III) oxychloride. This hydrolysis reaction can be represented by the following equilibrium: Discussion 1. Show a sample calculation for 2. (a) Which mass action expression was equal to the equilibrium constant? (b) Did you predict correctly in question 9 of System II? If not, where did you go wrong? 3. The symbol for the equilibrium constant is capital "K." Write the mass action expression for the equilibrium constant for the following equilibrium: System III System III involves the following equilibrium: Activity 3: Chemical Equilibrium Note: The convention is to put the concentration of the products over the reactants. 4. The mathematical expression you wrote in the above question is a statement of the Law of Chemical Equilibrium. State the law in words. 5. The equilibrium constant is independent of concentration. What does this mean? 6. What two variables cause K, the equilibrium constant, to vary? The effects of adding water and hydrochloric acid to the system will be investigated. Also K, the equilibrium constant for this reaction, will be determined. One litre of the solution used contains 0.5 mol and 6 mol HCI. That is, the solution concentrations are 0.5 mol/L with respect tc and 6 mol/L with respect to HCI. In this solution you can assume the concentration of SbOCI is almost zero. Do discussion questions 1-4 on this page as part of your preparation for this activity. Apparatus 10 mL graduated cylinder 50 mL buret Two 125 mL Erlenmeyer flasks 20 mL 0.5 mol/L SbC13 in 6 mol/L HCI 25 mL 6 mol/L HCI Caution: The soluble compounds of antimony are almost as poisonous as the compounds of arsenic. Wear protective gloves and wash your hands thoroughly after this activity. Method 1 . Transfer 5.0 mL of antimony(Ill) chloride solution into an Erlenmeyer flask from a buret at one of the dispensing stations your teacher has set up. 2. Add 5 mL water from a graduated cylinder and swirl the mixture. Record any changes. 3. Add an additional 10 mL of water in portions of 2 mL at a time until a total of 15 mL have been added. The 15 mL includes the 5 mL added in step 2. Swirl the mixture and record any changes with each addition. 4. Use the graduated cylinder to add 2 mL of 6 mol/L HCI. Swirl and record any changes. 5. Add an additional 6 mL in 2 mL portions, swirling the contents and recording any changes each time. 6. Dispose of the mixture as your teacher directs. 7. Add 5.0 mL antimony(III) chloride solution from the buret at the dispensing station to a clean, dry 125 mL Erlenmeyer flask. 8. From another buret add water to the flask until the white precipitate begins to form. Swirl the flask continuously as you add the water slowly. Try not to add too much. You can use your results from steps 2 and 3 as a guide. Record the volume of water required to the nearest 0.1 mL. 9. Dispose of the mixture as your teacher directs. 10. Calculate the concentration of HCI in the total volume of solution when the precipitate was just starting to form. 11. Calculate the concentration of antimony(III) chloride present in the total volume, assuming that a negligible amount of SbCI3 was used in the formation of the white precipitate. 1 2. Determine the value of K', the modified equilibrium constant (see discussion question 4), from the concentrations of HCI and for the solution in which the SbOCI was just starting to form. 7. Based on your observations, is the assumption made in step 12 reasonable? If it isn't, how will it affect your value of K'? 8. (a) What is the value for K'? ( b) What does the value for K' imply about the hydrolysis of antimony(Ill) chloride? (c) Pedict the relationship between your value for K' and the accepted value. Explain your reasoning. Discussion 1. Explain why it is reasonable to assume that [SbOCI] = 0 in the solution that contains 2. Predict the effect of adding water on the antimony(III) chloride hydrolysis equilibrium. Describe any changes you would expect to see. 3. Predict the effect of adding hydrochloric acid on the antimony(III) chloride hydrolysis equilibrium. Describe any changes you would expect to see. 4. (a) Write the mass action expression for the equilibrium constant for the antimony(III) chloride. ( b) Since the concentration of a pure solid or li quid is directly proportional to its density it will only change with temperature, Thus the concentration of a pure solid or liquid in equilibrium with other substances remains constant. Since the concentration of the water and the antimony(III) oxychloride do not change they can be grouped with the equilibrium constant to form a new constant called K'. Write the mass action expression for K'. (c) What would K' be equal to in terms of K? 5. (a) At what point in the addition of water (steps 2 and 3) was the system at equilibrium? (b) Why did the system not appear to change after several additions of water? 6. Account for any change or lack of change that occurred when the acid was added. Activity 4: Equilibrium Applications The following questions will help you learn to apply the concept of equilibrium to chemical systems. 1. Use Le Chatelier's Principle to predict the effects of heat, pressure, and concentration on the following chemical systems: (a) The production of methanol (methyl alcohol). Stresses: add heat, increase nressure by compressing the container. removal of methanol. ( b) The production of chlorine. Stresses: remove heat, decrease pressure by expanding the container, add oxygen, add a catalyst, add a noble gas that doesn't react with any participant in the equilibrium. (c) The formation of Stresses: add heat. increase the pressure of add solid 21 what will be the concentration of hydrogen iodide at equilibrium? (b) At a certain temperature hydrogen iodide i s 20 percent dissociated. Determine the concentration of each component present i n the mixture at equilibrium, if 0.50 mol of HI are placed in a 1 .00 L vessel at this temperature. (c) Determine the equilibrium constant for the formation of hydrogen iodide at this certain temperature. (d) Is the certain temperature lower or higher than 699 K? Explain your reasoning. ( e) In a mixture of hydrogen iodide, hydrogen, and iodine at 699 K, the partial pressures are 70.9 kPa, 2.03 kPa, and 2.03 kPa respectively. Will there be any change in the partial pressure if the mixture is maintained at 699 K? If so, will HI be consumed or formed? (f) 1.00 mol of H2 and 2.00 mol of 12 gas are put into a 10 L container at 699 K. Determine equilibrium concentrations of the three gases at equilibrium. (g) What would happen to the equilibrium concentrations in (f) if the volume were compressed to 5.0 L? is 243.1 kPa when the partial pressures are expressed in kilopascals. (a) 6.7 g of S02CI2 are placed in a 1.0 L bulb at 375 K. Determine the pressure exerted by the assuming none of it dissociated. (b) Determine the partial pressures of and at equilibrium. , c) Determine the partial pressures of and at equilibrium if 6.7 g of S02CI2 and 101.3 kPa of Cl2 are placed in a 1.0 L bulb at 375 K. ( d) Compare parts (b) and (c). In order to get the situation in (c), what stress must be applied to the system in (b)? Use Le Chatelier's Principle to predict the effect. Compare your predictions with the calculated concentrations. Are they consistent? 9. Ammonium hydrosulfide decomposes in the following manner: ( a) Determine the partial pressures of ammonia and hydrogen sulfide at equilibrium when excess solid ammonium hydrosulfide decomposes in an excavated chamber at 25 ° C. ( b) Use Le Chatelier's Principle to predict the effect of injecting ammonia into the system at equilibrium. ( c) Check your prediction by completing the following problem: Excess solid ammonium hydrosulfide is placed in a flask with 50.7 kPa of ammonia. What will be the partial pressures of ammonia and hydrogen sulfide at equilibrium? 1 0. The equilibrium constant for the reaction of "A" and "B" to produce "C" is 4.0. ( a) Determine the equilibrium concentration of each species if the starting conditions are 0.50 mol of "A" and 1.0 mol of "B" in a 10.0 L container. ( b) If it took 10 minutes to reach equilibrium, accurately sketch a concentration time graph for the attainment of equilibrium. (c) On separate sketches of the graph, show the effects of the following on the original system at equilibrium: (i) adding a catalyst (ii) adding more "A" (iii) raising the temperature of the system (iv) reducing the volume of the container to 5.0 L (v) adding the noble gas neon. Further Reading Alyea, Hubert N., and F.B. Dutton. Tested Demonstrations in Chemistry. Easton, Pennsylvania: Chemical Education Publishing Co., 1965. CHEM Study. Chemistry: An Experimental Science. Teacher's Guide. San Francisco: W.H. Freeman, 1963. Choppin, Gregory R. et a/. Chemistry. Morristown.Silver Burdett, 1978. NSCM Project Practical Activities Cl 0. Principles of Chemical Equilibrium. Milton, Australia: Jacaranda Press, 1973. Othen, Clifford. Rates of Reaction and Equilibria. London: Heinemann Educational Books, 1968. Parry, Robert W. et a/. Chemistry: Experimental Foundations. Englewood Cliffs, New Jersey: Prentice-Hall, 1970. Parry, Robert W. et al. Chemistry: Experimental Foundations. Teacher's Guide. Englewood Cliffs, New Jersey: Prentice-Hall, 1975. Rowley, Wayne R. E. Matter in Balance: Chemical Equilibrium. Toronto: Wiley, 1979. Toon, E.R., and G.P. Ellis. Foundations of Chemistry. New York: Holt, Rinehart and Winston, 1973. 23 24 The Haber Process Objectives Before Viewing Students should be able to: Have students complete Activity 1. They are asked to apply Le Chatelier's Principle in selecting conditions for an industrial process. However, because an industrial process continually removes the wanted products, the reaction never reaches equilibrium. Thus in most cases their predictions will be quite different from the actual conditions used. Because an industrial process is better described as a steady state than an equilibrium system, an application of factors that affect the rate of a reaction are also important. As the program points out, both concepts must be applied. Take up the students' answers to the questions but don't evaluate their thoughts on question 6. Program 6 will help them with this one. 1. Describe the Haber Process for the production of ammonia. 2. Discuss the societal implications of the Haber Process. 3. Apply the concepts of rate and equilibrium to the development of the conditions for an industrial process. Program Description Program 6 begins by establishing the historical events that created the need for the Haber Process. It then goes through a development of the process using the concepts from the previous programs. The development requires not only an application of the concepts of chemical equilibrium but also of those of reaction kinetics. The program ends with a brief description of the "rewards" reaped by Haber for his mastery of chemical equilibrium. After Viewing Do Activity 2 and consider using Activity 3 as one of the projects that students may choose to work on this term. Activities Activity 1: Le Chatelier and the Haber Process Experimental studies have shown that the percentage of ammonia formed from hydrogen and nitrogen at equilibrium varies as a function of the pressure exerted on the system as a whole. The results for a series of different temperatures are shown in Figure 5. Ammonia Produced ( %) Discussion 0 Figure 5 20 40 60 Pressure (mPa) 80 100 1 . Write an equation to describe the formation of ammonia. The name given to the industrial process using this chemical reaction is the Haber Process. 2. Is the formation of ammonia an endo- or exothermic reaction? Use data from the graph to support your decision. 3. Use Le Chatelier's Principle to predict the effects of the following stresses on the ammonia equilibrium: (a) removing ammonia ( b) increasing the applied pressure (c) raising the temperature (d) adding a catalyst ( e) adding an inert substance. 4. State evidence from the graph to support your predictions in 3(b) and (c). 5. List in general terms the conditions that would yield the most ammonia. 6. (a) At 20 mPa, what is the yield of ammonia at: (i) 473 K(200 ° C) (ii) 873 K(600 ° C) ( b) At which temperature would you choose to run the Haber Process? Why? 7. The conditions universally employed by industry are 873 K(600 ° C), 20 mPa, and the use of a catalyst. Suggest plausible reasons for this. Activity 2: Le Chatelier and Other Industrial Processes The Production of Polystyrene As part of the reaction sequence in which polystyrene is produced from benzene, ethyl benzene is dehydrogenated to produce styrene, the monomer of polystyrene. The following equation describes the reaction: 1 . Use Le Chatelier's Principle to predict the effects of the following on the styrene equilibrium: (a) increasing the applied pressure (b) removing styrene (c) reducing the temperature ( d) adding a catalyst (e) adding an inert substance. 2. Based on your predictions in question 1, select the conditions that would maximize the yield of styrene. 3. (a) Why are the conditions selected in question 2 unlikely to be those used by i ndustry? (b) What additional considerations must be made when selecting conditions to maximize the yield of an industrial process? 4. In practice, the pressure of the ethyl benzene is kept low, as Le Chatelier would suggest, but an inert substance - super-heated steam - is added to keep the total pressure of the mixture at atmospheric pressure. What advantage does this method have over running the reaction without the steam at a pressure less than atmospheric? 5. The super-heated steam serves two other functions: First it supplies energy to the system. Why is this desirable? Second, it reacts with any carbon formed as a byproduct at high temperatures, preventing the carbon from contaminating the catalyst. What products will be formed as a result of the reaction between carbon and steam? 6. What is the advantage of using super-heated steam at 873 K(600°C) rather than ordinary steam? 7. In practice, an iron oxide catalyst is used. Explain why this is desirable. 8. The process is run at 873 K(600 ° C) with an i ron oxide catalyst. The conversion is only about 35 percent complete. The yield could be increased by raising the temperature. Suggest two plausible reasons why this is not done. 9. The ethyl benzene (boiling point 136 ° C) that has not reacted and the styrene (boiling point 146 ° C) are separated by fractional distillation. The styrene, of course, is used to make polystyrene. If you were the industrialist, what would you do with the ethyl benzene? The Production of Sulfuric Acid The Contact Process 1 . Write a set of equations to describe the major reactions taking place in the contact process. 2. The system sulfur dioxide, oxygen, and sulfur trioxide is in equilibrium at 101.3 kPa and 400 ° C in the presence of a catalyst. State whether the amount of sulfur trioxide would be i ncreased, decreased, or unchanged by each of the following. Give reasons for your answers. (a) decreasing the applied pressure at 400 °C (b) adding 5 mol of oxygen at 400 ° C (c) decreasing the concentration of SO2 at 400°C (d) adding 2 mol of helium, V and T constant (e) removing the catalyst. 3. Use Le Chatelier's Principle to suggest three ways to increase the yield of sulfur trioxide. 4. State the conditions you would use as an i ndustrialist. Explain the reason for choosing these conditions if they differ from those you suggested in question 3. 5. List the actual industrial conditions used (e.g., temperature; pressure; catalyst; for removing sulfur trioxide). Explain the reason for choosing these conditions if they differ from those you suggested in question 4. Activity 3: Industrial Process Project The task is to present, in an attractive fashion, the chemistry involved in an industrial process. 25 26 Pictures, drawings, color, letter size, etc., can be used to present the information in as attractive a package as possible. In effect you are going to produce an ad for the industrial process you select. Description of the Task 1. The industrial process chosen must involve some chemical reaction2. The maximum area covered by your ad should be 1500 cm2. 3. It must be possible to display your ad on the wall. 4. The ad must contain the following information: (a) name of industry (b) chemical reactions involved (c) conditions under which reactions are run (d) location of plants (e) source of raw materials. 5. The following may be included if desired: (a) pictures of plants (b) drawings or flow charts of the process (c) labels used on final products (d) anything else you feel makes your ad more attractive. Example Industrial Processes Several industrial processes are listed. They are i ncluded to give you an idea of the range of processes from which you can select. The list is not meant to be restrictive; the possibilities are endless. 1. Production of iron 2. Production of aspirin 3. Film developing and printing 4. Electroplating 5. Brewing Further Reading Ashman, A., and G. Cremonesi. Sulfuric Acid. London: LongmanslPenguin Books, 1968. Bradford, Derek. Chemistry and the World Food Problem. London: Heinemann Educational Books, 1971. Haber, L.F. The Nitrogen Problem. London: LongmanslPenguin Books, 1966. Parry, Robert W. et al. Chemistry: Experimental Foundations. Englewood Cliffs, New Jersey: Prentice-Hall, 1970. Parry, Robert W. et al. Chemistry: Experimental Foundations. Teacher's Guide. Englewood Cliffs, New Jersey: Prentice-Hall, 1975. Rowley, Wayne R. E. Matter in Balance: Chemical Equilibrium. Toronto: Wiley, 1979. Toon, E.R., and G.P. Ellis. Foundations of Chemistry. New York: Holt, Rinehart and Winston, 1973. Ordering information To order the videotapes or this publication, or for additional information, please contact one of the following: Ontario TVOntario Sales and Licensing Box 200, Station 0 Toronto, Ontario M4T 2T1 (416) 484-2613 Untied States TVOntario U.S. Sales Office 901 Kildaire Farm Road Building A Cary, North Carolina 27511 Phone: 800-331-9566 Fax: 919-380-0961 E -mail: [email protected] g Videotapes Program 1: Steady Unsteadiness Program 2: Dynamic Equilibrium Program 3: Reaction Kinetics Program 4: Reaction Tendencies Program 5: The Equilibrium Constant Program 6: The Haber Process BPN 240701 240702 240703 240704 240705 240706
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