Chemistry I Accelerated Study Guideline - Chapter 17 Thermochemistry ____________________________________________________ By the end of this chapter the skills you should be able to demonstrate are: 1. Determine the heat of a chemical reaction in which a specified amount of substance is involved. 2. State the reason enthalpy changes in a chemical reaction. 3. Calculate enthalpies of formation. 4. Calculate changes in heat of reaction (enthalpy). 5. Describe and give examples of changes in entropy. 6. Calculate changes in entropy. 7. State two reasons reactions occur. 8. Relate Gibbs free energy to the spontaneity of reactions and to equilibrium. 9. Calculate Gibbs free energy changes involving enthalpy and entropy. Suggested Problems: p.535-537: #56, 59, 61, 66, 68, 73, 74, 82 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Calorimetry of Reactions An insulated container that is used to make heat measurements is called a calorimeter. Answer the questions below based on the figure shown to the right. 1. Was the reaction that occurred in the reaction chamber, endothermic or exothermic? How can you tell? 2. How much heat was involved in the reaction within the reaction chamber in joules? 3. If the reaction involved 10.4 moles of reactant, how many kilojoules of heat were involved per mole of reactant? page 2 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Heat of Reaction - Enthalpy (ΔH) 1. Define Enthalpy Change 2. Energy changes are associated with every chemical reaction. When chemical bonds are _____________ (formed/broken), energy is consumed. When chemical bonds are _______________ (formed/broken), energy is given off. The net sum of the energy changes related to these bond rearrangements is called the enthalpy change and has the symbol ________________. 3. When energy is produced in a chemical reaction, the reaction is ____________ (endothermic/exothermic). The change in enthalpy, __________, may be written on the right side of the equation. __________ is usually reported in kilocalories or kilojoules per mole of one of the reactants.. For instance in the equation: N2 (g) + 3H2 (g) - - > 2NH3 (g) + 92 kJ when 1 mole of __________ reacts with 3 moles of ________ to form _______ moles of ammonia, _______ kJ of energy is released to the surrounding 4. When energy is absorbed in a reaction, the reaction is called ______________ (endothermic/exothermic). The change in enthalpy, ΔH, is written on the reactants side of the equation. The ΔH again may be reported in kilojoules per mole of one of the reactants or products. For example, in the equation: 67.8 kJ + N2 (g) + 2O2 (g) - - > 2NO2 (g) when one mole of _______ gas reacts with _______ of oxygen gas, ____________ kJ of energy is absorbed from the surroundings and stored in ________ moles of the product. 5. For exothermic reactions, ΔH, values are ___________ (positive/negative). For endothermic reactions, ΔH, values are ___________ (positive/negative). For the reaction in question 3, ΔH = ____________ kJ per mole of ammonia gas. For the reaction in question 4, ΔH = __________ kJ per mole of nitrogen dioxide gas. page 3 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 6. The graph below is a potential energy diagram for the hypothetical reaction A+B -> C+D a. Is the forward reaction endothermic or exothermic? Calculate the value of ΔH for this reaction b. Is the reverse reaction endothermic or exothermic? What is the value of ΔH for this reaction c. What is the value of potential energy of the activated complex? d. Calculate the activation energy for the forward reaction? 400 7. On the graph to the right, draw a potential energy diagram for the following reaction: 300 Q + R --> S + T given the following: potential energy of Q + R PE is 150 kJ; potential energy of S + T is 250 kJ; potential energy of the activated complex is 375 kJ 200 100 Reaction Coordinate b. Is the forward reaction endothermic or exothermic? Calculate the value of ΔH for this reaction c. Calculate the activation energy for the forward reaction? page 4 ChemIAcc-22Thermochemistry WS 140 8. On the graph to the right, draw a potential energy diagram for the following reaction: 100 E + F --> G + H given the following: potential energy of E + F Dr. Corell - Chemistry I Accelerated PE is 72 kcal; potential energy of G + H is 112 kcal; activation energy of the forward reaction is 58 kcal 60 20 Reaction Progress b. What is the total potential energy of the activated complex? c. Is the forward reaction endothermic or exothermic? Calculate the value of ΔH for this reaction d. What is the activation energy of the reverse reaction? Standard Heat of Formation When one mole of a compound is formed from its elements, the heat of reaction is called the standard heat of formation. For example, when one mole of carbon dioxide is formed from its elements, carbon and oxygen, the heat of the reaction, ΔH, is –393.7 kJ. Thus the value of the standard heat of 0 formation , with the symbol ΔHf , for CO2 = –393.7 kJ. You will need a reference table of standard heats of formation found starting on the next page to answer the following questions. 0 1. The value of ΔHf for magnesium oxide is _____________ kJ /mol. This means for the reaction: ____________(s) + _____________(g) - - - > ____ MgO(s) the enthalpy of 1 mole of the product, _______, is 601.6 kJ_________(greater/less) than the sum of the enthalpies of the reactants, _______ mole of magnesium metal and _______ mole of oxygen gas. 0 2. The value of ΔHf for ethene is __________ kcal/mole. This means that for the reaction ____________(s) + _____________(g) - - - > C2 H4 (g) the enthalpy of 1 mole of the product, _______, is 52.3 kJ _________(greater/less) than the sum of the enthalpies of the reactants, _______ mole(s) of solid carbon and _______ mole(s) of hydrogen gas. page 5 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Molar Thermodynamic Properties of Pure Substances 0 Formula Ag (c) Ag2 CO3 (c) Ag2 O (c) 0 ΔH f kJ/mol 0.0 -505.8 0 0 ΔG f kJ/mol 0.0 S J/K mol 42.55 Cp J/K mol 25.351 -436.8 167.4 112.26 -31.05 -11.20 121.3 65.86 Ag2 S (c, argentite) AgCN (c) AgCNS (c) AgCl (c, cerargyrite) AgBr (c) AgI (c) -32.59 146.0 87.9 -127.068 -100.37 -61.83 -40.67 156.9 101.39 -109.789 -96.90 -66.19 144.01 107.19 131.0 96.2 107.1 115.5 76.53 66.73 63.0 50.79 52.38 56.82 AgNO3 (c) -124.39 -33.47 140.92 93.05 -879.0 --- --- Ag3 PO4 (c) --- Ag2 CrO4 (c) -731.74 -641.76 217.6 142.26 Ag2 SO4 (c) Al (c) -715.88 0.0 -618.41 0.0 200.4 28.33 131.38 24.35 Al(OH) 3 -1276.0 --- --- --- AlCl3 (c) -704.2 -628.8 110.67 91.84 AlCl3 (g) -583.2 --- --- --- Al2 O3 (c, alumina, alpha) B (c) -1675.7 0.0 -1582.3 0.0 50.92 5.86 79.04 11.09 BF3 (g) -1137.0 -1120.35 254.01 50.46 BaCO3 (c, witherite) -1216.3 -1137.6 112.1 85.35 BaC2 O4 (c) -1368.6 --- --- --- BaCrO4 (c) -1446.0 -1345.22 158.6 --- BaF2 (c) -1207.1 -1156.8 96.36 71.21 BaSO4 (c) Bi (c) -1473.2 0.0 -1362.2 0.0 132.2 56.74 101.75 25.52 Bi2 S3 (c) -143.1 -140.6 200.4 122.2 0.0 0.0 152.231 75.689 Br2 (g) C (c, graphite) C (c, diamond) C (g) CO (g) 30.907 0.0 1.895 716.682 -110.525 3.110 0.0 2.900 671.257 -137.168 245.463 5.740 2.377 158.096 197.674 36.02 8.527 6.113 20.838 29.42 CO2 (g) -393.509 -394.359 213.74 37.11 COCl2 (g, phosgene) -218.8 -204.6 283.53 57.66 Br2 (l) CH4 (g, methane) -74.81 -50.72 186.264 35.309 C2 H2 (g, ethyne) 226.73 209.20 200.94 43.93 page 6 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 0 0 0 0 ΔH f kJ/mol ΔG f kJ/mol S J/K mol C2 H4 (g, ethene) 52.25 68.12 219.45 43.56 C2 H6 (g, ethane) -84.68 -32.82 229.60 52.63 C3 H6 (g, propene) 20.2 62.72 266.9 64.0 C3 H8 (g, propane) -104.5 -23.4 269.9 7.0 C4 H1 0 (g, n-butane) -126.5 -17.15 310.1 97.4 C5 H1 2 (g, n-pentane) -146.5 -8.37 348.9 120.2 C8 H1 8 (g, octane) -208.5 16.40 466.7 189.0 CH3 OCH3 (g, dimethyl ether) -184.05 -112.59 266.38 64.39 CH3 OH (g, methanol) -200.66 -162.00 239.70 43.89 CH3 OH (l, methanol) -238.66 -166.36 126.8 81.6 C2 H5 OH (g, ethanol) -235.10 -168.49 282.70 65.44 C2 H5 OH (l, ethanol) -277.69 -174.78 160.7 111.46 CH3 COOH (l, acetic acid) -484.51 -389.9 159.8 124.3 CH3 CHO (l, acetaldehyde) -192.30 -128.20 160.2 --- -80.83 -57.37 234.58 40.75 CHCl3 (g, chloroform) -103.14 -70.34 295.71 65.69 CCl4 (l, carbon tetrachloride) -135.44 -65.27 216.40 131.75 Formula CH3 Cl (g) Cp J/K mol C6 H6 (g, benzene) 82.9 129.7 269.2 81.6 C6 H6 (l, benzene) 49.0 124.7 172.0 132.0 C6 H1 2 (l, cyclohexane) CaO (c) -156.3 -635.09 26.7 -604.03 204.4 39.75 157.7 42.80 Ca(OH)2 (c) -986.09 -898.49 83.39 87.49 CaCO3 (c) -1206.92 -1128.79 92.9 81.88 CaC2 O4 (c) CaF2 (c) -1360.6 -1219.6 ---1167.3 --68.87 --67.03 Ca3 (PO4 ) 2 (c) -4109.9 -3884.7 240.91 231.58 CaSO4 (c, anhydrite) Cd (c) Cd (g) -1434.11 0.0 2623.64 -1321.79 0.0 --- 106.7 51.76 --- 99.66 25.98 --- -560.7 -161.9 -473.6 -156.5 96.0 64.9 0.0 0.0 223.066 33.907 ClO2 (g) Cu (c) 102.5 0.0 120.5 0.0 256.84 33.150 41.97 24.35 CuC2 O4 (c) --- -661.8 --- --- -1051.4 -893.6 186.2 --- Cd(OH)2 (c) Cds (c) Cl2 (g) CuCO3 .Cu(OH)2 (c, malachite) page 7 ----- ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 0 Formula 0 ΔH f kJ/mol ΔG f kJ/mol Cu2 O (c, cuprite) CuO (c, tenorite) -168.6 -157.3 -146.0 -129.7 Cu(OH)2 (c) -449.8 0 S J/K mol 0 Cp J/K mol 93.14 42.63 63.64 42.30 --- --- --- -79.5 -53.1 -86.2 -53.6 120.9 66.5 76.32 47.82 F2 (g) Fe (c) FeO (c, wuestite) 0.0 0.0 -266.27 0.0 0.0 -245.12 202.78 27.28 57.49 31.30 25.10 48.12 Fe2 O3 (c, hematite) -824.2 -742.2 87.40 103.85 Fe3 O4 (c, magnetite) -1118.4 -1015.4 146.4 -823.0 -696.5 106.7 --- Fe3 C (c, cementite) 25.1 20.1 104.6 105.9 FeCO3 (c, siderite) FeS (c, pyrrhotite) -740.57 -100.0 -666.67 -100.0 92.9 60.29 82.13 50.54 FeS2 (c, pyrite) -178.2 -166.9 52.93 62.17 FeSO4 (c) -928.4 -820.8 -2581.5 --- Cu2 S (c, chalcocite) CuS (c, covellite) Fe(OH)3 (c) Fe2 (SO4 ) 3 (c) H2 (g) 107.5 143.43 100.58 --- --- 0.0 0.0 130.684 28.824 H2 O (g) -241.818 -228.572 188.825 33.577 H2 O (l) -285.830 -237.129 69.91 75.291 H2 O2 (g) -136.31 -105.57 232.7 43.1 H2 O2 (l) -187.78 -120.35 109.6 89.1 H2 S (g) -20.63 -33.56 105.79 34.23 H2 SO4 (l) HF (g) HCl (g) HBr (g) HI (g) HCN (g) Hg (l) -813.989 -271.1 -92.307 -36.40 26.48 135.1 0.0 -690.003 -273.2 -95.299 -53.45 1.70 124.7 0.0 156.904 173.779 186.908 198.695 206.594 201.78 76.02 138.91 29.133 29.12 29.142 29.158 35.86 27.983 HgCl2 (c) -224.3 -178.6 146.0 --- Hg2 Br2 (c) -206.90 -181.075 218.0 --- Hg2 Cl2 (c) HgS (c, red) HgS (c, black) -265.22 -58.2 -53.6 -210.745 -50.6 -47.7 192.5 82.4 88.3 --48.41 --- Hg2 SO4 (c) -743.12 -625.815 200.66 131.96 I 2 (c) 0.0 0.0 116.135 54.438 I 2 (g) 62.438 19.327 260.69 36.90 page 8 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 0 0 0 0 Formula ICl (g) K (c) KF (c) KCl (c) KBr (c) KI (c) ΔH f kJ/mol 17.78 0.0 -567.27 -436.747 -393.798 -327.900 ΔG f kJ/mol -5.46 0.0 -537.75 -409.14 -380.66 -324.892 S J/K mol 247.551 64.18 66.57 82.59 95.90 106.32 Cp J/K mol 35.56 29.58 49.04 51.30 52.30 52.93 KClO4 (c) -432.75 303.09 151.0 112.38 KNO3 (c) Mg (c) -494.63 0.0 -394.86 0.0 133.05 32.68 96.40 24.89 MgF2 (c) -1123.4 -1070.2 57.24 61.59 MgCO3 (c, magnesite) -1095.8 -1012.1 65.7 75.52 Mg(OH)2 (c) Mn (c) -924.54 0.0 -833.51 0.0 63.18 32.01 77.03 26.32 MnO2 (c) MnS (c, green) -520.03 -214.2 -465.14 -218.4 53.05 78.2 54.14 49.96 N2 (g) 0.0 0.0 191.61 29.125 -46.11 -16.45 192.45 35.06 -314.43 90.25 -202.87 86.55 94.6 210.761 84.1 29.844 NO2 (g) 33.18 51.31 240.06 37.20 N2 O (g) 82.05 104.20 219.85 38.45 N2 O4 (g) 9.16 97.89 304.29 77.28 N2 O4 (l) -19.50 97.54 209.2 142.7 N2 O5 (g) 11.3 355.7 84.5 N2 O5 (c) NOCl (g) NOBr (g) Na (c) NaF (c) NaCl (c) NaBr (c) NaI (c) -43.1 51.71 82.17 0.0 -573.647 -411.153 -361.062 -287.78 178.2 261.69 273.66 51.21 51.46 72.13 86.82 98.53 143.1 44.69 45.48 28.24 46.86 50.50 51.38 52.09 112.30 NH3 (g) NH4 Cl (c) NO (g) 115.1 113.9 66.08 82.42 0.0 -543.494 -384.138 -348.983 -286.06 Na2 CO3 (c) -1130.68 -1044.44 134.98 NaNO2 (c) -358.65 -284.55 103.8 --- NaNO3 (c) -467.85 -367.00 116.52 92.88 Na2 O (c) NiS (c) -414.22 -82.0 -375.46 -79.5 75.06 52.97 69.12 47.11 205.138 29.355 238.93 41.09 39.20 23.840 O2 (g) O3 (g, ozone) P (c) 0.0 0.0 142.7 0.0 163.2 0.0 page 9 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 0 Formula 0 ΔH f kJ/mol 0 ΔG f kJ/mol S J/K mol 0 Cp J/K mol PH3 (g) 5.4 13.4 210.23 37.11 PCl3 (g) -287.0 -267.8 311.78 71.84 PCl5 (g) Pb (c) -374.9 0.0 -305.0 0.0 364.58 64.81 112.80 26.44 PbBr2 (c) -278.9 -261.92 161.5 80.12 PbCl2 (c) PbO (c, red) PbO (c, yellow, litharge) -359.41 -218.99 -217.32 -314.10 -189.93 -187.89 -136.0 66.5 68.70 --45.81 45.77 PbO2 (c) -277.4 -217.33 68.6 64.64 Pb3 O4 (c) -718.4 -601.2 211.3 Pb(OH)2 (c) PbS (c, galena) ---100.4 -452.2 -98.7 --91.2 --49.50 PbSO4 (c) S (c) -919.94 0.0 -813.14 0.0 148.57 31.80 103.207 22.64 291.82 97.28 SF6 (g) -1209.0 -1105.3 146.9 SO2 (g) -296.830 -300.194 248.22 39.87 SO3 (g) -395.72 -371.06 256.76 50.67 SO3 (l) -441.04 -373.75 113.8 --- SO2 Cl2 (g) Sn (c) SnO (c) -364.0 0.0 -285.8 -320.0 0.0 -256.9 311.94 51.55 56.5 77.0 26.99 44.31 SnO2 (c, cassiterite) SnS (c) Tl (c) W (c) -580.7 -100.0 0.0 0.0 -519.6 -98.3 0.0 0.0 52.3 77.0 64.18 32.64 52.59 49.25 26.32 24.27 WO2 (c) -589.69 -533.89 50.54 56.11 WO3 (c) -842.87 -764.03 75.90 73.76 0.0 -348.28 -205.98 0.0 -318.30 -201.29 41.63 43.64 57.7 25.40 40.25 46.03. Zn (c) ZnO (c) ZnS (c) 3. Using the standard heats of formation, write the equation for the formation of ethyne from its elements including the heat as one of the components of the reaction. Is the reaction endothermic or exothermic? page 10 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 4. Using the standard heats of formation, write the equation for the formation of sulfur dioxide from its elements including the heat as one of the components of the reaction. Is the reaction endothermic or exothermic? 5. Using the standard heats of formation, write the equation for the formation of silver chloride from its elements including the heat as one of the components of the reaction. Is the reaction endothermic or exothermic? 6a. Using the standard heats of formation, write the equation for the formation of methane from its elements including the heat as one of the components of the reaction. Is the reaction endothermic or exothermic? b. Calculate the heat of reaction (ΔH) when 14.0 g of methane is produced from its elements? 7. Using the standard heat of formation, calculate the heat of reaction (ΔH) when 112.0 grams of sodium chloride is made from its elements. Is energy absorbed or released? How can you tell? page 11 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 8. Using the standard heats of formation, calculate the heat of reaction (ΔH) in calories when 110.0 grams of potassium bromide is made from its elements. 9. Calculate the heat of reaction (ΔH), in kJ for the decomposition of Carbon Dioxide gas into Carbon Monoxide gas and Oxygen gas. Is the reaction endothermic or exothermic? How can you tell? 10. Calculate the heat of reaction (ΔH), in kJ for the reaction where Nitrogen Dioxide gas decomposes to Nitrogen Monoxide gas and Oxygen gas. Is the reaction endothermic or exothermic? How can you tell? 11. Calculate the heat of reaction (ΔH), in kJ for the reaction where Nitrogen Monoxide gas combines with Hydrogen gas to form ammonia gas and Oxygen gas. Is the reaction endothermic or exothermic? How can you tell? 3 12. The combustion of 17.8 L of ethene at STP liberates 1.104 x 10 kJ. Calculate the heat of reaction (ΔH) (kJ/mol). page 12 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Hess’s Law The heat change associated with a reaction can be calculated if information on other reactions containing the same reactants or products is available. 1. Calculate the heat of reaction (ΔH) for the reaction: A2 + B - - - > A2B given the following information: AB + A - - - > A2 + B ΔH = +27.1 kJ/mol A2B - - - > AB + A ΔH = –30.4 kJ/mol 2. Is the reaction endothermic or exothermic? How can you tell? 3. What would be the value for ΔH for the reverse reaction: A2B - - - > A2 + B? 4. What would be the value of ΔH for the forward reaction if 3 moles of each reactant and product were involved? 5. Calculate the ΔH for the reaction sulfur dioxide gas plus hydrogen gas plus oxygen gas yields liquid sulfuric acid given the following information: Solid sulfur plus oxygen gas yields sulfur dioxide gas ΔH = – 297.1 kJ Hydrogen gas plus solid sulfur plus oxygen gas yields liquid sulfuric acid ΔH = – 811.7 kJ 6. Calculate the ΔH for the reaction in terms of moles of propane for the combustion of propane given the following information: Solid carbon plus hydrogen gas yields propane gas ΔH = – 103.8 kJ Solid carbon plus oxygen gas yields carbon dioxide gas ΔH = – 393.5 kJ Hydrogen gas plus 1/2 O2 (g) yields water vapor page 13 ΔH = – 241.8 kJ ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 7. Calculate the ΔH for the reaction in terms of moles of ammonia for the reaction of ammonia gas plus oxygen gas yields nitrogen monoxide gas water vapor given the following information: 1/2 N2 (g) + 1/2 O2 (g) - - > NO(g) ΔH = + 90.4 kJ/mol 1/2 N2 (g) + 3/2 H2 (g) - - > NH3 (g) H2 (g) + 1/2 O2 (g) - - > H2 O(g) ΔH = – 46.0 kJ/mol ΔH = – 393.3 kJ/mol Entropy On the line at the left, rank each item in this list from 1 to 3, with 1 being the item with the greatest entropy and 3 being the item with the least entropy. ____ 1. an ice cube. ____ 2. a solution of NaOH and water ____ 3. a flask of air On the line at the left, write the sign (pos. or neg.) of the entropy change (ΔS) for the listed reaction or event. If there is not enough information to determine the sign of ΔS, write the letter N on the line. ____ 1. AB + CD - - - - > AC + BD where AB and CD are both solids and AC and BD are both liquids. ____ 2. AB + CD - - - - > AC + BD where AB and CD are both gases and AC and BD are both liquids. ____ 3. Dry ice (solid CO2) is exposed to room temperature air. ____ 4. Steam condenses on a lid covering a pot of boiling water. ____ 5. Solid Ammonium Chloride decomposes to gaseous Ammonia and gaseous Hydrochloric Acid. ____ 6. Table salt dissolves in water to form an aqueous solution. ____ 7. Water becomes ice cubes in the freezer ____ 8. Water is heated to a boil and becomes steam. page 14 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Enthalpy and Entropy Complete each of the following sentences in the space provided by filling in the appropriate word or phrase from the list below: Endothermic reaction Free Energy of Formation Heat of reaction enthalpy Free Energy Hess’s Law entropy Gibbs Equation Kelvin Temperature exothermic reaction Heat of Formation standard heat of formation The heat content of a substance is called its _________________ . The change in this quantity that occurs during a chemical reaction is called the ______ ___ _____________, ΔH. If the chemical change is the production of a compound from its elements, this quantity is called the ______ ____ ______________. At 298K and 101.3 kPa , this quantity is called the _____________ ______ ____ _______________ . The sign of the quantity ΔH is positive in the case of an __________________ _______________. It is negative in the case of an __________________ _______________. When a reaction can be expressed as the algebraic sum of two or more other reactions, its heat of reaction is equal to the algebraic sum of the heats of reaction of these other reactions. This relationship is called ____________ __________. A measure of the randomness of a system is its _______________. If, in any reaction, the change in this quantity is multiplied by the ____________ ___________________ and subtracted from ΔH for the reaction, the result is called the __________ _____________ of the reaction. If the reaction is the production of a compound from its elements, the above result is called the _________ ___________ ______ ________________ of the compound. This relationship is expressed in the __________ _____________. Spontaneous Reactions 1. Entropy changes can be represented by the equation: ΔS = Sproducts – Sreactants What is the meaning of this equation? 2. Describe how the two factors, entropy change and enthalpy change, determine whether a reaction will proceed spontaneously. page 15 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 3. The algebraic combination of these two factors is given as the equation for the free energy change, ΔG. Complete this equation: ΔG = _______ – _________ 4. Reactions are spontaneous when the value for ΔG is _______________ (positive/negative). 5. When ΔH is negative and ΔS is positive, the sign of ΔG must be ______________. A negative value for ΔH and positive value for ΔS apply to a reaction that _________ (is/is not) spontaneous at any temperature. Therefore, both factors that determine spontaneity are __________________ (favorable/unfavorable). When ΔH < 0, the chemical change moves the system to a ___________ (lower/higher) enthalpy; energy is ___________ (released/absorbed) . When ΔS > 0, the chemical change moves the system to a __________ (greater/lesser) entropy; the system becomes __________ (more/less) disordered. 6. When ΔH is positive and ΔS is negative, the sign of ΔG must be ______________. A positive value for ΔH and negative value for ΔS apply to a reaction that _________ (is/is not) spontaneous at any temperature. Therefore, both factors that determine spontaneity are __________________ (favorable/unfavorable). When ΔH > 0, the chemical change moves the system to a ___________ (lower/higher) enthalpy; energy is ___________ (released/absorbed) . When ΔS < 0, the chemical change moves the system to a __________ (greater/lesser) entropy; the system becomes __________ (more/less) disordered. 7. When ΔH is positive and ΔS is positive, or when ΔH is negative and ΔS is negative, the sign of ΔG depends on the magnitude of the contribution to ΔG by the ______________ (entropy/enthalpy) change which, in turn is determined by the __________________ (pressure/temperature) of the system. Entropy Change (ΔS) and Gibbs Free Energy Calculations 0 0 Refer to reference tables for the values of S and ΔHf 1. Given the formation of gaseous hydrosulfuric acid from its elements, calculate the ΔS for this reaction. page 16 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 2. Calculate the heat of reaction (ΔH), in kJ for the reaction where Carbon Monoxide gas combines with solid Iron(III) oxide to form solid Iron and Carbon Dioxide gas. Is the reaction endothermic or exothermic? How can you tell? 3. Calculate the entropy change (ΔS) for the previous reaction at 298K. Does the entropy change by itself favor the forward reaction? Why or why not? 4. Is the previous reaction spontaneous at 298K? How can you tell? 5. Is the formation of solid Calcium Oxide from its elements at 25°C spontaneous? ΔS is 0.0259 kcal/K, and ΔH is +151.8 kcal. How can you tell? 6. For the reaction 1/2 I2 (g) + 1/2 Cl2 (g) - - - > ICl(g) reaction spontaneous at 25°C? 7. For the previous reaction, calculate in degrees Celsius, the temperature at which ΔG = 0. page 17 ΔH = 17.6 kJ/mole; ΔS = 77.4 J/K; Is this ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Challenge Problems – Thermodynamics 1. Solar power is proposed as a solution to our energy problems. One place that solar power is used extensively is Arizona because there the energy of solar radiation is equal to 8.40 x 106 kJ/m2. Much of our electricity in this country is generated in coal fire power plants. How many tons of coal (carbon) would need to be combusted to generate this same amount of energy? Note: 454 grams = One pound. 2. At what temperature does ΔG0 become zero for the reaction where solid calcium carbonate decomposes to solid calcium oxide and gaseous carbon dioxide. ΔH0f CaCO3 = –1207.1 kJ/mol; ΔH0f CaO = –635.0 kJ/mol; S0 CaCO3 = 93 J/(mol x K); S0 CaO = 38.1 J/(mol x K). page 18 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 3. The combustion of sucrose (C12H22O11) produces 5790 kJ/mole of heat energy at 25°C. 25% of the heat energy liberated is available to do work (the rest is converted to heat – sweat). If you use 500 Calories every hour of vigorous exercise, how many hours do you have to exercise to burn off 1.00 pound of sucrose. Also remember that a large C Calorie equals 1000 small c calories. 4. Is the following reaction spontaneous at 25°C? Oxygen can be made in the lab by reacting solid sodium peroxide with water vapor to produce the oxygen gas and solid sodium hydroxide. Standard Enthalpy of formation for sodium peroxide is –510.90 kJ/mol; Standard Enthalpy of formation for sodium hydroxide is –425.609 kJ/mol; Standard Entropy for sodium peroxide is 95.00 J/(mol x K); Standard Entropy for Sodium hydroxide is 64.46 J/(mol x K). Why or why not? Is there any temperature at which this reaction is spontaneous? page 19 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 5. The swimming pool at HS North is 20.0 yds. wide by 50.0 yds. long. At the shallow end it is 1.00 meter deep. The pool then has a steady and continuous decline until it reaches the far end where it is 3.50 m deep. The HS North pool is heated by heat transfer released by burning propane which is stored in a tank outside the school at a temperature of 5.50°C and a pressure of 8935.0 kPa. On the first day after winter break the temperature of the pool has dropped to 11.0°C. Before gym classes can be held the pool must be heated to 23.5°C. If propane sells for $4.75/gallon (Summer 2008 prices) using the additional data below, calculate how much it will cost the WWP district to heat the pool to the desired temperature. ΔH0f propane = –74.86 kJ/mol ΔH0f water = –241.8 kJ/mol ΔH0f carbon dioxide = –393.5 kJ/mol 1.06 Liters = 1 US Quart 1.00 inch = 2.54 cm 4 quarts = 1 gallon page 20 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated 6. Calculate the Enthalpy change associated with the next two reactions (a + b) given the following data: 2 O3 (g) - - - - - - - - > 3 O2 (g) ΔH = –427 kJ O2 (g) - - - - - - - - > 2 O (g) ΔH = +495 kJ NO (g) + O3 (g) - - - - - - - - > NO2 (g) + O2 (g) ΔH = –199 kJ Fe2O3 (g) + 3 CO (g) - - - - - - - - > 2 Fe (s) + 3 CO2 (g) ΔH = –23 kJ 3 Fe2O3 (g) + CO (g) - - - - - - - - > 2 Fe3O4 (s) + CO2 (g) ΔH = –39 kJ Fe3O4 (s) + CO (g) - - - - - - - - > 3 FeO (g) + CO2 (g) ΔH = +18 kJ a. NO (g) + O (g) - - - - - - - - > NO2 (g) b. FeO (s) + CO (g) - - - - - - - - > Fe (s) + CO2 (g) page 21 ChemIAcc-22Thermochemistry WS Dr. Corell - Chemistry I Accelerated Thermodynamics Crossword Puzzle ACROSS 1. 4. 6. 7. 8. 9. 12. 14. 15. 18. 20. 22. 23. DOWN th 1/1000 of a gram (abbrev.) A sudden decrease of temperature 4.184 of 3 DOWN Symbol for element #2 Smallest particle of an element Conditions of electrons in metals Study of energy transformations Prefix meaning 1000 Gibbs quantity of maximum possible work (2 words) What a substance does when it releases heat of fusion. Homogeneous mixture Element with symbol Sn Measure of Randomness 6.02257 x 1023 Device used to measure heat changes Unit of energy Symbol for Change Word for + sign Energy associated with melting (3 words) Symbol for element 9 Measure of average kinetic energy Ability to do work Same as 6 ACROSS Thaw Eating plan carried out to reduce the number of 6 ACROSS 19. A metal that will cause copper metal to be precipitated from a solution of copper (II) ions 1. 2. 3. 4. 5. 7. 9. 10. 11. 13. 16. 17. 21. Noble Gas 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 20 18 19 21 22 23 page 22