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Grade 11 Unit 6 SCIENCE 1106 CHEMICAL REACTIONS, RATES AND EQUILIBRIUM CONTENTS I. CHEMICAL REACTIONS . . . . . . . . . . . . . . . . 2 DETECTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 ENERGY REPRESENTATION . . . . . . . . . . . . . . . . . . . . . . . 9 II. REACTION RATES . . . . . . . . . . . . . . . . . . . . . 27 RATE VARIABLES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 REACTION DIAGRAMS . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 III. REACTION EQUILIBRIUMS . . . . . . . . . . . . . 44 EQUILIBRIUM MATHEMATICS . . . . . . . . . . . . . . . . . . . . . . 44 EQUILIBRIUM VARIABLES . . . . . . . . . . . . . . . . . . . . . . . . 55 Author: Harold Wengert, Ed.D. Editor: Alan Christopherson, M.S. Illustrators: Alpha Omega Graphics 804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc. All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own. SCIENCE 1106: CHEMICAL REACTIONS, RATES AND EQUILIBRIUMS Have you ever wondered why a fire is hot, or why the food you eat produces energy? In both examples, a reorganization of molecules occurs. In the fire, fuel reacts with oxygen to produce heat plus different chemicals. In the case of food eaten, digestion breaks up the molecules so that they can react with oxygen to produce heat (energy) and waste products. The reorganization of molecules involves energy and energy changes. You will explore how molecular reorganization produces energy, how and why reactions occur, and what controls the rate of a reaction. You may need to review previous LlFEPACs. Also, be sure to have the Periodic Table from SCIENCE 1101 handy. OBJECTIVES Read these objectives. The objectives tell you what you will be able to do when you have successfully completed this LIFEPAC®. When you have finished this LIFEPAC, you should be able to: 1. Describe how a reaction can be detected. 2. Interpret energy (enthalpy) diagrams. 3. Explain what factors affect the rates of reactions. 4. Explain Le Chatelier’s Principle. 5. Describe an equilibrium condition in a reaction. 6. Apply the Law of Chemical Equilibrium. 7. Explain how condition variables affect an equilibrium reaction. Survey the LIFEPAC. Ask yourself some questions about this study. Write your questions here. 1 I. CHEMICAL REACTIONS With the models of atoms, molecules, and ions developed in previous LlFEPACs, we are now ready to investigate in depth the systems of chemical reactions. What is a chemical reaction? From our investigations so far, we may generalize that in a chemical reaction the atoms are rearranged to form new substances with new formulas. In other words, the products (substances produced) are different in molecular makeup from the reactants (substances started with). SECTION OBJECTIVES Review these objectives. When you have completed this section, you should be able to: 1. Describe how a reaction can be detected. 2. Interpret energy (enthalpy) diagrams. VOCABULARY Study these words to enhance your learning success in this section. endothermic exothermic enthalpy heat of reaction precipitate Note: All vocabulary words in this LIFEPAC appear in boldface print the first time they are used. If you are unsure of the meaning when you are reading, study the definitions given. DETECTION We see many examples of chemical reactions around us daily. The changing colors of the leaves, the growing of new body cells, the tarnishing of silverware, the fading of the color in paints, and the burning of gasoline in a car are all examples of chemical reactions. Some reactions are easy to detect and others go on too slowly to be noticed. How can chemical reactions be detected? Do this experiment. Solid formation. You studied in Science LIFEPAC 1102 about distinguishing between chemical, physical, and phase changes. Any reaction that caused the starting materials to completely lose their properties to form new and distinct substances was a chemical change. The next set of activities will help you to discover one way a chemical reaction can be detected. WEAR GOGGLES These supplies are needed: 0.01 M sodium chloride, NaCl solution, table salt – 0.58 g/L of solution 0.01 M potassium chromate, K2CrO4 solution, dilute solution – 1.94 g/L of solution; solid can be purchased at a chemical supply store 0.01 M silver nitrate, AgNO3 solution, about 1.7 g/L of solution or a diluted solution; solid or solution can be purchased at a chemical supply store several small test tubes several medicine (eye) droppers or pipets 2 Follow these directions and answer the questions. Put a check in the box when each step is completed. ❏ 1. Place ten drops of 0.01 M NaCl in a test tube and ten drops of 0.01 M potassium chromate, K2CrO4, in another test tube. 1.1 What do the three solutions look like? ❏ 2. Put ten drops of silver nitrate, AgNO3, in each of the other two solutions. 1.2 What happened in Step 2? 1.3 Why do you believe a reaction did or did not occur? ❏ 3. In a clean test tube put ten drops each of K2CrO4 and AgNO3. ❏ 4. Slowly, a drop at a time, add NaCl until a significant change occurs. 1.4 What happened in Step 4? 1.5 What is your hypothesis for the observations and changes? Color change. Another way to detect a chemical change is by comparing colors. When the leaves turn colors in the fall, a chemical change has occurred. The next experiment will show how color is used in reaction detection. Do this experiment. WEAR GOGGLES These supplies are needed: 0.01 M acidified iron (II) sulfate, FeSO4 - 1.52 g/liter of solution and 1 ml concentrated HCl; solid FeSO4 can be purchased at a chemical supply store 0.01 M potassium permanganate, KMnO4 - 1.58 g/liter of solution; solid KMnO4 can be purchased at a chemical supply store 0.01 M NaCl sodium chloride solution, table salt – 0.58 g/L of solution 0.01 M ammonium nitrate, NH4NO3 - 0.80 g/liter of solution; solid ammonium nitrate can be purchased at a chemical supply store several test tubes or glass baby-food jars several medicine (eye) droppers or pipets 3 Follow these directions and answer the questions. Put a check in the box when each step is completed. ❏ 1. Place about 3 ml of 0.01 M acidified iron (II) sulfate, FeSO4, in a test tube. ❏ 2. Add 6 drops of 0.01 M potassium permanganate, KMnO4, 1 drop at a time, shaking the test tube after each additional drop. 1.6 What do the reactants look like? 1.7 What happens when the reactants are combined? 1.8 Why do you think a reaction has, or has not, occurred? ❏ 3. Add 10 drops of 0.01 M sodium chloride, NaCl, to 10 drops of 0.01 M ammonium nitrate, NH4NO3. 1.9 What do the reactants look like? 1.10 What happens when the reactants are combined? 1.11 Why do you think a reaction has, or has not, occurred? Gas formation. We have now seen that chemical reactions can be detected by the change in color and by the formation of a precipitate. A third way is found to occur very frequently in nature. The production of methane gas, CH4, when living material decays in the absence of oxygen, is a very important example of gas formation in a chemical reaction. This example is the source of natural gas, the gas used in kitchen stoves, home furnaces, and factories. When the living materials were covered during the time of Deluge (Genesis, Chapters 6-8), the decaying organic materials produced the methane gas. This gas is found both in oil wells and in coal mines. Our study will investigate this third way to detect chemical reactions. 4 Do this investigation. WEAR GOGGLES These supplies are needed: concentrated HCl (hydrochloric acid) - purchased from a building contractor, pool supply, concrete mason, or chemical company; common name is muriatic acid. glacial acetic acid - purchased from a chemical supply store 6 M HCl - made by putting 50 ml of concentrated HCl into H2O to make 100 ml 1 M HCl - made by putting 8.3 ml HCl into H2O to make 100 ml 0.1 M HCl - made by putting 10 ml of the 1 M HCl in H2O to make 100 ml 6 M acetic acid - made by putting 34.8 ml glacial acetic in H2O to make 100 ml 1 M acetic acid - made by putting 5.8 ml glacial acetic in H2O to make 100 ml 5 small chips of blackboard chalk (white is best) or calcium carbonate chips 5 small test tubes (purchased from a hobby shop or a chemical supply company) Follow these directions and answer the questions. Put a check in the box when each step is completed. ❏ 1. Set up the following experiment. a. 3 ml 6M HCl b. 3 ml 6M CH3COOH c. 3 ml 1M HCl d. 3 ml 0.1 M HCl Add 1.12 What do the reactants look like? 1.13 What did each reaction look like? a. b. c. 5 e. 3 ml 1M CH3COOH small chalk chip, CaCO3(s) in each test tube d. e. 1.14 Why do you think a reaction has, or has not, occurred? 1.15 We have seen three types of reactions so far in this LIFEPAC. In summary, how could you detect if a reaction has occurred? a. b. c. Adult check ___________________ Initial Date Temperature change. The fourth class of reactions is much more difficult to detect than the previous three. This fourth class is really the basis of the other three. Every chemical reaction involves energy in some form, because all chemical reactions involve either the breaking of old bonds or the forming of new bonds or both. We know that every chemical bond contains energy or it would not exist. This result means that every chemical Do this investigation. reaction involves an energy change because the bonds are changed. Energy tied up in the bonds of atoms, molecules, ions, and the rest of the chemical system is called enthalpy. The absolute amount of this energy cannot be measured, but the change in enthalpy from the reactants to products can be measured. If the energy is lost (given off), the reaction is exothermic; if energy is gained, the reaction is endothermic. WEAR GOGGLES These supplies are needed: solid sodium hydroxide, NaOH – lye, can be purchased in a grocery store, a hardware store, a soap making supply store, or a chemical supply store solid ammonium nitrate, NH4NO3 – can be purchased from a fertilizer store or a chemical supply store concentrated hydrochloric acid, HCl – can be purchased in a pool supply store or a chemical supply store phenolphthalein solution (or other indicator) – can be purchased from a chemical supply store thermometer to fit test tubes water forceps (tweezers) test tubes with stoppers 6 Follow these directions and answer the questions. Put a check in the box when each step is completed. ❏ 1. CAUTION: CONCENTRATED HCl IS VERY DANGEROUS TO SKIN, EYES, AND CLOTHES. IF SPILLED, WIPE UP IMMEDIATELY WITH WET TOWELS OR SPONGE. IF SPILLED ON SKIN OR CLOTHES, WASH FREELY WITH WATER AND INFORM YOUR TEACHER OF THE ACCIDENT. Your teacher has one place in the room where this acid is kept and used. Ask for its location and safety precautions. To 2 ml of tap water in a test tube, add 10 drops, a drop at a time, of 12 M hydrochloric acid, HCl. Use a thermometer to check for any temperature change. Save the diluted acid for future use in Step 5. 1.16 What do the reactants look like? 1.17 What happened when the HCl was added to the H2O? 1.18 Why do you think a reaction has, or has not, taken place? 1.19 Whenever the temperature changes as the result of chemicals being added together, the enthalpy of the products will differ from the enthalpy of the reactants. a. Has a temperature change taken place? b. Has an energy change taken place? c. In order to get the solution back to the original temperature for an energy comparison with the reactants, will you need to heat or cool the test tube? d. Did this reaction release energy or take on added energy? e. Therefore, is the enthalpy of the products greater or less than the enthalpy of the reactants? H3O+ + Cl- + heat Symbol Model: HCl + H2O Energy Model: Reactants’ Enthalpy (E1) Products’ Enthalpy (E2) + heat ❏ 2. To 3 ml of tap water in a test tube, add 2 small pellets of solid sodium hydroxide, NaOH(S). DO NOT HANDLE SODIUM HYDROXIDE PELLETS WITH YOUR FINGERS — USE FORCEPS. Place a stopper in the test tube and shake it gently. Use a thermometer to check for a temperature change. Save this solution for Step 3. 1.20 What do the reactants look like? 1.21 What happened when NaOH was added to H2O? 1.22 Why do you think a reaction did, or did not, occur? 7 1.23 Analyze the changes in the NaOH - H2O system. a. Has a temperature change taken place? b. Has an energy change taken place? c. To get the solution back to its original temperature, must you add or take away energy? d. How does this compare to the previous HCl reaction? e. Do the products or the reactants have more enthalpy? f. Is this reaction exothermic? 1.24 Symbol Model: NaOH(s) Energy Model: E1 Na+(aq) + OH-(aq) (Complete this model.) Note: Read all the directions before doing Steps 3 through 7. ❏ 3. Place 1 ml of the NaOH solution made in Step 2 in a test tube. ❏ 4. Add a few drops of phenolphthalein solution (an indicator solution). ❏ 5. Add, dropwise, the HCl solution made in Step 1 until the color changes. ❏ 6. Mix thoroughly between additional drops. ❏ 7. Use a thermometer to check for a temperature change. 1.25 What do the reactants look like? 1.26 What happens when the reactants are placed together? 1.27 Why do you believe a reaction has, or has not, occurred? 1.28 Describe the energy changes. a. Has an energy change taken place? b. How can you tell? 1.29 Describe the enthalpy change. a. Is the NaOH - HCl reaction exothermic? b. Do the products or reactants have more enthalpy? 8 1.30 Symbol Model: Na+(aq) + OH-(aq) + H+(aq) + Cl-(aq) Na+(aq) + Cl-(aq) + H2O Energy Model: (Complete this model.) ❏ 8. Place solid ammonium nitrate, NH4NO3, to a depth of about 1 cm in a test tube. ❏ 9. Add about 1 ml of water that is at room temperature. 1.31 Analyze the NH4NO3 - H2O system. a. What happens to the temperature? b. To compare the enthalpy of the products with the enthalpy of the reactants, both must be at the same temperature. Would you add or take away energy to get the products at the same temperature as the reactants? c. Do the products or reactants have more enthalpy? d. Is this reaction the same as the HCl and NaOH systems? 1.32 Describe the enthalpy of the NH4NO3 system. a. Was the enthalpy of the products of exothermic reactions increased (+) or decreased (-)? b. Was the enthalpy of the products of the dissolving NH4NO3 plus (+) or minus (-)? c. What is the reason for your prediction in (b)? 1.33 Symbol Model: NH4NO3 NH4+(aq) + NO3-(aq) Energy Model: (Make a complete energy model.) Adult check ___________________ Initial Date ENERGY REPRESENTATION Scientists are able to display conveniently scientific data in graphic form. This display can be by models, such as the energy and symbol models we used in the previous section. Other ways are by equations and diagrams. You will learn to represent reactions by equations and diagrams, and you will learn how to figure the enthalpy of simple chemical reactions. These activities will help you to understand how the breaking and forming of bonds in chemical reactions produce or absorb energy and how common substances make good fuel for heating foods and houses. Energy diagrams. Chemical reactions are studied by the energy contained in the products in comparison to the reactants. To study the absolute amount of energy in the system is difficult because not all of the energy can be measured. Therefore, only the ∆H (change in energy) is of interest because this change in energy is the only amount that can be measured directly. What is really being described is the difference between bond-forming and bondbreaking energies. This difference can be summarized: 9 Exothermic Reaction E products E products <E (∆H is negative because the reaction produced energy which is lost to the environment) reactants – E reactants = -∆H (reactants products + energy) Endothermic Reaction E products E products >E (∆H is positive because energy must be added to the reactants to make the products) reactants – E reactants = +∆H (reactants + energy products) Do these activities. 1.34 List the four ways that a chemical reaction can be detected: (Hint: These were covered in Section I.) a. b. c. d. 1.35 Consider the following reactions. (Note: small subscript letters of (s), (l), and (g) indicate the states of matter of the components. The subscript (aq) means the substance is in a water solution.) Mg(s) + 1/2 O2(g) MgO(s) + 146 kcal/mole H2(g) + 1/2 O2(g) ∆H = -57.82 kcal/mole H2O(g) What type of reaction is represented by the previous two examples? 1.36 Consider the following reactions. /2 H2(g) + 1/2 I2(g) 1 ∆H = + 6.2 kcal/mole HI(g) 21.0 kcal/mole + C(s) + 2S(s) CS2(l) What type of reaction is the previous two examples? 1.37 Consider the following reactions. Which reactions are endothermic? a. H2(g) + 1/2 O2(g) b. 1/2 N2(g) + 1/2 O2(g) e. NH3(g) ∆H = +21.6 kcal/mole NO(g) c. 1/2 N2(g) + O2(g) + 8.1 kcal d. 1/2 N2(g) + 3/2 H2(g) ∆H = -57.83 kcal/mole H2O(g) NO2(g) NH3(g) + 11.0 kcal/mole /2 N2(g) + 3/2 H2(g) 1 10 ∆H = +11.0 kcal/mole 1.38 Study the following two reactions. (A) C (graphite) + O2(g) CO2(g) + 94.05 kcal (B) C (diamond) + O2(g) CO2(g) + 94.50 kcal a. Do the substances in the box for reaction A and for B have the same amount of enthalpy at the same temperature? b. If your answer to a. is “yes” where does the difference in the ∆H values for the two reactions come from? Adult check ___________________ Initial Date Review Activities 1.16 to 1.20. The reaction between HCl and H2O can be represented in the following ways: H3O+ + Cl- Symbol Model: HCl + H2O Energy Model: Reactants’ Enthalpy (E1) + heat Products’ Enthalpy (E2) + heat Energy Stored in Products Energy Stored in Reactants + Excess Energy Lost Enthalpy or Bonding Energy Increase Reactants and products are compared at the same temperature. 0 Energy (Enthalpy) Diagram Energy in Reactants HCl + H2O -∆H = Heat is given off; this is an exothermic reaction -∆H (products contain less enthalpy than reactants) Reaction Coordinate The energy produced, ∆H, is equal to -∆H = Enthalpy of products - Enthalpy of reactants = E2 - E1 11 Do the following activities. Review Activities 1.20 through 1.24. Use that data and analysis for this activity. Using the enthalpy diagram for HCl - H2O as a model, complete and label each part of the following diagram for the NaOH - H2O reaction. Enthalpy or Bonding Energy Increase 1.39 Energy in Reactants NaOH(s) 0 Reaction Coordinate Review Activities 1.25 through 1.30. Complete and label the following enthalpy diagram for the HCl - NaOH system. Enthalpy or Energy of Bonding 1.40 0 Reaction Coordinate 12 1.41 Review Activities 1.31 through 1.33. Draw an enthalpy diagram for the dissolving of NH4NO3. Label all of the parts for identification. Adult check ___________________ Initial Date Heat of reaction. When some chemical changes occur, the only easily observed indication of a reaction is the energy absorbed or released. Actually all chemical reactions involve a release or absorption of energy. This energy is called the heat of reaction. In this section of this LIFEPAC you will: Why? Do we have an energy crisis? Why or why not? The following discussion will help us to deal with such questions as these. As we begin to think about energy changes, let us recall one of the regularities of nature with which we are already familiar: The Law of Conservation of Energy. This law reminds us that as we observe chemical changes, energy may change from one form to another but the amount of energy in an isolated system does not change. Energy is neither produced nor destroyed during a chemical change. No chemical change creates energy, only releases energy. We already know that chemical changes must involve the breaking and making of chemical bonds. We also know that chemical bonds involve energy. Perhaps the energy released or absorbed by substances during a chemical change may be explained by returning to a consideration of chemical bonds. a. Analyze the fact that all chemical changes involve energy and see if this makes sense and b. Try to discover a way to predict the energy change in a reaction. Have you ever thought about these forms of energy: about calories or food, about having enough energy for the game tonight or making weight for wrestling? Is this energy the same as that used by a plant, a 747, a model plane, or a truck? Why? How can stuff—coal, gasoline, butane—be changed into motion? From where does the “motion-energy” come? Can you use water, sand, or glass as a fuel? 13 Do the following activities. 1.42 When bonds are formed, energy is lost by the atoms that are bonding. When two hydrogen atoms bond to form H2, 104 kcal of energy are released for every mole of molecules formed from the hydrogen atoms in the monatomic state. + H Energy H Bond Energy H:H When two chlorine atoms bond to form Cl2, 81 kcal are released for each mole of molecules formed. + Cl Energy Cl Bond Energy Cl Cl a. When bonds are formed, is energy gained or lost? b. The energy released by the atoms when they bond to form a molecule is called the c. Bond energy is expressed in kilocalories per mole of bonds formed. The bond energy for H2 is kcal per mole H2. d. The strength of a single hydrogen bond holding two atoms together in one molecule would be: = kcal/bond 6 x 1023 bonds/mole H2 Bond energies have been determined for many different bonds. In some cases they are only approximations, but they are still useful for making some predictions. The following typical values will be helpful to us as we proceed through this LIFEPAC. 14 Bond Bond Energy (kcal/mole) C-H O - O (in O2) C = O (in CO2) H-O H-H C-C C-O Cl - Cl 99 119 192 (this value is for one double bond) 111 104 83 84 81 An example of a bond energy analysis for a reaction follows. The reaction 2H2 + O2 considered. 1 H-H Bonds Breaking 1 H-H 2 H-H 3 O-O Total 2 + H-H Energy (kcal) +104 +104 +119 +327 3 + 4 5 O-O H-O-H Bonds Forming Energy (kcal) 4 5 6 7 H-O O-H H-O O-H Total -111 -111 -111 -111 -444 Net Energy = Breaking + Forming = 327 kcal + (-444 kcal) ∆H = -117 kcal = -117 kcal 6 + 7 H-O-H +119 -111 +104 Enthalpy Bond # 2H2O will be -111 +104 -111 Net Energy (kcal) -111 This analysis shows that when H2 and O2 are combined to form H2O, energy is released. This reaction is exothermic. Energy Chart Do these activities. 1.43 Try to predict the energy change involved in a familiar reaction, the burning of methane (CH4) in a stove or furnace. Complete this equation for the combustion of methane: a. CH4 + O2 CO2 + H2O(l) b. Now use the model shown above and prepare the structures for each of the reactant molecules present in your equation. In the following space draw all of the structures for the reactant molecules. Use dashes to represent each bond. Adult check ___________________ Initial Date 15 1.44 Now break down the reactant molecules bond by bond. Follow this procedure: a. Imagine that every molecule you handle represents a mole of that kind of molecule. b. Use the energy chart to make a graph to summarize what you are doing. c. Record in the following table the energy needed to break each bond. Since we have to put energy into the system to break bonds, the system gains energy. When we do this, we will assign these bond energies a positive value. List Each Bond Broken Bond Energy (kcal/mole) a. b. c. d. e. f. Total Energy Needed g. 1.45 Now put the products together following the same procedure. Since energy is released when bonds are formed, the system is releasing energy. We therefore assign these energies a negative value. Product Structures: Bonds Formed Bond Energy (kcal/mole) a. b. c. d. e. f. g. 1.46 Total Energy Released Net Energy Change for the entire reaction: Total Energy Absorbed 1.47 + Total Energy Released = In the following space draw a sketch of the graph you made on the energy chart. Label it including the net energy change for the reaction. 16 1.48 The net energy change for a reaction is called the enthalpy change. Enthalpy is given the symbol H. The enthalpy change is given the symbol ∆H. a. The ∆H for the combustion of one mole of methane is . b. The negative sign on the enthalpy change for this reaction means the methane-oxygen (lost, gained) energy. system c. This energy was (absorbed from, released to) the environment. Adult check ___________________ Initial Date The structures called reactants possess a certain amount of potential energy (PE) because of the arrangement of the atoms. This energy is called H1. H1 E N T H A L P Y H2 the system to release heat. As long as the energy remains stored, it is PE and not KE. A fuel does not actually contain heat any more than a jack-in-thebox contains motion. Under the right conditions the energy stored in a gallon of gasoline or in a jack-inthe-box can be released, and we can observe it as it is on the move. Imagine that you live in a suburb of Chicago. If you stand on the school roof and contemplate the buildings in the Loop, you will be brought “down to earth.” You may have felt “on top of the world” when you were on the observation deck of the Willis Tower CH4 + 2O2 HEAT & LIGHT CO2 + 2H2O(l) The structures called products have less potential energy. They also have stronger bonds, on the average, and the molecules are more stable than the reactants. The enthalpy (or PE) of the products is called H2. The enthalpy change is ∆ H = H2 - H1. Energy was stored in the reactant structures (H1). The products have less energy stored in them (H2). The energy difference is released as energy of motion (kinetic): heat and light. Every molecule can be thought of as a storehouse of energy. This is easy to believe when we think of the molecules in a match, a candle, or a bit of food. When a match burns, a noticeable amount of heat and light is given off. Since the released energy has the form of heat (kinetic energy), chemists often talk about the heat content of a system. By this term they mean the potential of FIGURE 1 17 (commonly referred to as Sears Tower) only to be laughed at by your neighbor who has just scaled Mt. Everest. Even if you are just standing waiting for a bus, you can take comfort in knowing the people in Death Valley (altitude -280 ft.) have to “look up to you.” Do you realize how Death Valley rates a negative altitude? It was just arbitrary. Someone decided to measure altitude from sea level and Death Valley got the short end of the meter stick. If you want to get “up in the world,” just convince everyone to start measuring altitude from Death Valley. No one knows for sure how “high” one substance is above the lowest possible potential energy value. Arbitrarily and conveniently, chemists have decided to use as a reference point the condition of the free elements in their natural state. All the elements as they exist in nature at 25° C are assigned an enthalpy of zero. 180 170 C(g) 160 150 140 130 120 110 100 90 80 70 E N T H A L P Y 60 50 O(g) H(g) 40 30 NO 20 10 0 -10 -20 NO2 N2(g), O2(g), C(s), and so forth NH3(g) CH4(g) CO -30 -40 -50 H2O(g) -60 -70 H2O(l) -80 -90 CO2 -100 -110 FIGURE 2 18 Do this activity. 1.49 Study the graph represented in Figure 2. a. How could it be useful to you? b. How does it help to make sense of the reaction we have looked at concerning CH4 in 1.43 through 1.48? This order is not necessarily the one in which things actually happen. The events may (and probably do) happen in a completely different sequence. (Perhaps some new bonds are made before all of the old bonds are broken.) To prove a point that will be helpful in the future, look once again at the reaction in a natural gas burner or stove. A particular reaction mechanism was assumed, namely: 1. Break all the bonds in CH4 and O2, then 2. Make all the bonds in CO2 and H2O. Do these activities. 1.50 Try to work through the CH4 - O2 reaction following a different sequence of bond breaking/making. Be creative. Use an energy chart if you want to. a. Make an enthalpy diagram to describe your sequence. When you are finished, your diagram may be similar to the one at the right. E Energy Diagram (Chart) b. Determine the ∆H for the reaction. 19 1.51 If possible find someone who has a diagram unlike your own. Explain your sequence to him. Listen to his explanation of his diagram. b. Your ∆H is a. Do you understand the other person’s diagram? c. The other person’s ∆H is . . d. What generalization might this similarity suggest about the ∆H of a chemical reaction and the sequence or path of the reaction? 1.52 Jim has to walk down five floors to get from his apartment to Steve’s apartment. Joe has to walk down two floors to get to Steve’s apartment (unless he takes the elevator). a. How far does Jim have to walk to get from his place to Joe’s? . b. On what floor does Steve live? c. Did you need to know answer (b.) to answer the first question? d. Draw a picture to help someone understand how to answer the first question. 1.53 One way to make 1 mole of CO2: (I) C (graphite) Another way: (II) CO(g) + 1/2O2 + O2 CO2(g) + 94.05 kcal CO2(g) + 67.6 kcal How much energy would be absorbed or released if we make 1 mole of CO(g) starting with 1 mole C (graphite) and 1 mole O2? Hints: 1. We could write: (III) C (graphite) + O2(g) CO(g) + 1/2 O2 2. Maybe Jim, Joe, and Steve could help us. 20 1.54 Sue has to walk down six flights to visit Sarah. Sharon walks up five flights from her apartment to visit Sarah. If Sue wants to go from her apartment to Sharon’s what will she have to do? Draw a picture to help someone understand how to solve this problem. 1.55 Given: (IV) NO(g) + 1/2 O2(g) NO2(g) + 13.5 kcal (V) 1/2 N2(g) + O2(g) + 8.1 kcal NO2(g) What would the ∆H for this reaction be? (VI) 1/2 N2(g) + 1/2O2(g) - NO(g)? Make an enthalpy diagram to help. 1.56 Summarize the ∆H for the reactions we have just examined in 1.53 and 1.55. a. ∆HI = b. ∆HII = c. ∆HIII = d. ∆HIV = e. ∆HV = f. ∆HVI = g. Could we make a generalization about ∆H based on these examples? Try it. 21 h. How does this generalization relate to your conclusion at the end of 1.51 d? 1.57 Water can be decomposed into hydrogen and oxygen. How much energy is needed to break up 6.0 grams of H2O(I) at 25°C and one atmosphere of pressure into its gaseous elements at the same conditions of temperature and pressure? H2O(l) 1.58 ∆H = + H2(g) + 1/2 O2(g) Given: C2H4 + 3O2 2CO2 + 2H2O 57.8 kcal mole H2O ∆H = -331.6 kcal/mole C2H4 How many kilocalories would be given off when 12.5 grams of ethylene (C2H4) completely burned? Adult check ___________________ Initial Date Review the material in this section in preparation for the Self Test. The Self Test will check your mastery of this particular section. The items missed on this Self Test will indicate specific areas where restudy is needed for mastery. 22 SELF TEST 1 Answer true or false (each answer, 1 point). 1.01 1.02 A negative ∆H means an exothermic reaction. Changing colors is not an indication of a chemical change. 1.03 Gas formation is a phase not chemical change. 1.04 Reactants are the starting materials in a chemical reaction. 1.05 Bond formation releases energy. 1.06 Endothermic means to lose energy. 1.07 The formation of a precipitate is an indication of a chemical change. 1.08 All reactions are exothermic. 1.09 A temperature change in a reaction indicates a physical change. 1.010 Breaking bonds is an endothermic process. Circle the letter of the best response (each answer, 3 points). 1.011 Which of the following reactions is not one of the general types of chemical reactions studied? a. Precipitate formation b. Change of color of a solution when it is diluted c. Dissolving NaOH(s) in H2O d. Gas evolution Questions 1.012-1.014 relate to the following information: The two balanced equations (1) and (2) are for reactions in which gaseous carbon dioxide is produced from the combustion of (1) solid carbon and (2) gaseous carbon monoxide. 1. C(s) + O2(g) 2. CO(g) + 1/2 O2(g) 1.012 CO2(g) + 94.0 kcal CO2(g) + 67.6 kcal On the basis of the information given in equation (1) and assuming no change in temperature or pressure, one can correctly conclude that a. the rate of reaction is rapid. b. the total number of moles of products is the same as the total number of moles of reactants. c. the reaction is exothermic. d. the weights of the products are greater than those of the reactants. e. there will be an increase in the volume of the reactants and products taken together as the reaction proceeds. 1.013 When 112 grams of carbon monoxide are consumed according to equation (2), which of the following reactions occurs? (atomic weights: C = 12.0, O = 16.0) a. 1.0 mole of carbon dioxide is produced. b. 67.6 kcal of heat are generated. c. 2.0 moles of oxygen are consumed. d. 0.25 mole of carbon dioxide is produced. e. 0.50 mole of oxygen is consumed. 23 1.014 Which of the following equations represents an exothermic reaction? b. C CS2 ∆H = 27,550 cal C (graphite) c. C + 2S (diamond) 2H2O + O2 ∆H = +58 kcal/mole H2O d. CH4 + 2O2 CO2 + 2H2O + 212,800 cal e. 2H2O 1.015 ∆H = +0.45 kcal/mole C 2N2(g) + 3/2 H2(g) a. NH3(g) + 12.0 kcal The combustion of 22.4 liters of CO according to the reaction CO(g) + 1/2 O2(g) kcal gives off how much heat? a. 67.6 kcal d. 1,514 kcal b. 33.3 kcal e. neither a,b,c, nor d CO2(g) + 67.6 c. 135.2 kcal 1.016 In the reaction (1.015) how much heat is produced from 14 grams of CO? a. 6,716 kcal d. 1,514 kcal b. 33.8 kcal e. neither a, b, c, nor d c. 135.2 kcal 1.017 ∆H = -57.82 kcal/mole Which of the following reactions are endothermic? a. H2(g) + 1/2 O2(g) H2O(g) b. /2 N2(g) + O2(g) + 8.1 kcal 1 c. /2 N2(g) + /2 H2(g) 1 d. C 3 (diamond) + O2(g) NO2(g) ∆H = -94.50 kcal/mole NH3(g) + 11.0 kcal/mole CO2 Complete the following questions (each answer, 3 points). Using the diagram at the right, answer Questions 1.018 through 1.021. ~ Z + Q Z+Q -∆H Energy X+Y 1.018 Which is more stable, Z + Q or X + Y? 1.019 Is the reaction, X + Y 1.020 Does the -∆H indicate that heat is absorbed or given off the system Z + Q 1.021 Diamond has a more compact and ordered structure than graphite. When converting graphite to diamond, is the enthalpy increased or decreased? Z + Q exothermic or endothermic? 24 X + Y? Make the following calculations (each answer, 3 points). 1.022 Determine the ∆H value for each of the following reactions: a. N2(g) + 3H2(g) 2NH3(g) + 22,000 cal b. C2H4(g) + 3O2(g) 2CO2(g) + 2H2O(g) + 331 kcal c. 2HI(g) + 2.4 kcal O2(g) + C ∆H = ∆H = P4O10 + 712 kcal e. CO2(g) + 94.50 kcal ∆H = ∆H = H2(g) + I2(g) d. P4(g) + 5O2(g) ∆H = (diamond) Calculate the following answers (each answer, 5 points). 1.023 Given: 1. C(s) + O2(g) 2. CO(g) + 1/2 O2 CO2(g) + 94.0 kcal CO2(g) + 67.6 kcal On the basis of calculations using equations (1) and (2), find how much heat in kcal per mole of carbon would be produced in the following reaction: C(s) + 1/2 O2(g) 1.024 Given: CO(g) + C = O 192 kcal O - H 111 kcal kcal/mole carbon C-H O-O 99 kcal 119 kcal H Balanced Equation C=O+O-O O=C=O+H-O-H H Calculate the ∆H for this reaction. Score Adult check 54 68 25 _______________________ _______________________ Initial Date