Министерство образования и науки Российской Федерации Федеральное агентство по образованию Южно-Уральский государственный университет Химический факультет Ш143.21-9 Д182 Е.И.Данилина ХИМИЯ НА АНГЛИЙСКОМ ЯЗЫКЕ Модуль 2 ОБЩАЯ И НЕОРГАНИЧЕСКАЯ ХИМИЯ Учебное пособие Челябинск Издательский центр ЮУрГУ 2009 ББК Ш143.21-923 УДК 54(075.8) Одобрено учебно-методической комиссией химического факультета Рецензенты: Балыкин В.П., д-р хим. наук, профессор кафедры аналитической и физической химии Челябинского государственного университета, Толчев А.В., д-р хим. наук, профессор, зав. кафедрой общетехнических дисциплин Челябинского государственного педагогического университета Д182 Данилина, Е.И. Химия на английском языке. Модуль 2. Общая и неорганическая химия: учебное пособие. – Челябинск: Издательский центр ЮУрГУ, 2009. – 48 с. Учебное пособие составлено на английском языке по материалам британских, канадских и американских учебников по химии для колледжей и университетов и предназначено для практических занятий и самостоятельной работы студентов. В учебном пособии предложены качественные вопросы и расчетные задачи, охватывающие основные темы курса общей и неорганической химии. В приложениях приведены необходимые справочные материалы для численного решения задач и их устного чтения: Периодическая таблица, таблицы констант ионизации, произведений растворимости и стандартных электродных потенциалов, а также транскрипция названий элементов и соединений по правилам ИЮПАК. Пособие предназначено для студентов 2 курса химического факультета. УДК 54(075.8) © Издательский центр ЮУрГУ 2 CONTENTS 1. The Structure of the Atom................................................................................ 4 2. The Periodic Table and Periodic Law............................................................... 8 3. Energy and Chemical Change...........................................................................12 4. Rates of Chemical Reactions.............................................................................18 5. Dynamic Chemical Equilibrium........................................................................21 6. Ionic Equilibria..................................................................................................28 7. Electrochemistry................................................................................................35 Appendix 1. Periodic Table of Chemical Elements...............................................38 Appendix 2. Elements and Electronegative Components......................................40 Appendix 3. Acids and Anions..............................................................................43 Appendix 4. Ionization Constants for Acids..........................................................44 Appendix 5. Ionization Constants for Nitrogen Bases...........................................45 Appendix 6. Solubility Product Constants in Water at 25 oC.................................45 Appendix 7. Standard Reduction Potentials...........................................................46 References..............................................................................................................48 3 1. THE STRUCTURE OF THE ATOM 1.1. How many protons and electrons are in each of the following atoms? a) boron; c) platinum; b) radon; d) magnesium. 1.2. An atom of an element contains 66 electrons. What element is it? 1.3. An atom of an element contains 14 protons. What element is it? 1.4. How many protons and electrons are contained in an atom of element 44? 1.5. For each of the following chemical symbols, determine the element name and the number of protons and electrons an atom contains. a) V; e) Zn; i) Mo; b) Ir; f) Al; j) Sc; c) Mn; g) Cs; k) Bi; d) S; h) Br; l) Cu. 1.6. A carbon atom has a mass number of 12 and an atomic number of 6. How many neutrons does it have? 1.7. An isotope of mercury has 80 protons and 120 neutrons. What is the mass number of this isotope? 1.8. An isotope of xenon has an atomic number of 54 and contains 77 neutrons. What is the xenon isotope’s mass number? 1.9. How many electrons, protons, and neutrons are contained in each of the following 59 163 70 atoms: 132 55 Cs; 27 Co; 69Tm; 30 Zn. 1.10. How many electrons, protons, and neutrons are contained in each of the following atoms: a) gallium-64; b) titanium-48; c) fluorine-23; d) helium-8. 1.11. Determine the number of protons, electrons, and neutrons for isotopes in the table. Name each isotope, and write its symbol. Element Neon Calcium Oxygen Iron Mercury Atomic number 10 20 8 26 80 4 Mass number 22 46 17 57 204 1.12. Boron has two naturally occurring isotopes, namely: boron-10 (abundance = 19.8%, mass = 10.013 amu), boron-11 (abundance = 80.2%, mass = 11.009 amu). Calculate the atomic mass of boron. 1.13. Helium has two naturally occurring isotopes, helium-3 and helium-4. The atomic mass of helium is 4.003 amu. Which isotope is more abundant in nature? 1.14. Chlorine, which has an atomic mass of 35.453 amu, has two naturally occurring isotopes, Cl-35 and Cl-37. Which isotope occurs in greater abundance? 1.15. Calculate the atomic mass of magnesium. The three magnesium isotopes have atomic masses and relative abundances of 23.985 amu (78.99%), 24.986 amu (10.00%), and 25.982 amu (11.01%). 1.16. Silver has two isotopes, 107 49 Ag has a mass of 106.905 amu (52.00%), and has a mass of 108.905 amu (48.00%). What is the atomic mass of silver? 109 49 Ag 1.17. Calculate the atomic mass of titanium. The five titanium isotopes have atomic masses and relative abundances of 45.953 amu (8.00%), 46.952 amu (7.30%), 47.948 amu (73.80%), 48.948 amu (5.50%), and 49.945 amu (5.40%). 1.18. Complete the table below. Isotope Composition of Various Isotopes Atomic Mass Number of Number of Number of number number protons neutrons electrons 32 16 24 20 Zn-64 9 11 10 23 1.19. Write ground-state electron configurations for the following elements. a) bromine (Br); d) rhenium (Re); b) strontium (Sr); e) terbium (Tb); c) antimony (Sb); f) titanium (Ti). 1.20. How many electrons are in orbitals related to the third energy level of a sulfur atom? 1.21. How many electrons occupy p orbitals in a chlorine atom? 1.22. Sketch the electron arrangements for the first 20 elements in the periodic table. 5 1.23. What element has the following ground-state electron configuration: [Kr]5s24d105p1? 1.24. What element has the following ground-state electron configuration: [Xe]6s2? 1.25. Write out the electron configuration and draw the orbital diagram for each of the following elements. a) silicon; c) calcium; b) fluorine; d) krypton. 1.26. What is a valence electron? Draw the electron-dot structures (Lewis structures) for the elements in the previous problem (1.25). 1.27. Identify the number of valence electrons in the outer energy levels of the following elements: a) chlorine; f) lead; b) helium; g) antimony; c) indium; h) selenium; d) strontium; i) arsenic; e) rubidium; j) xenon. 1.28. Draw electron-dot structures (Lewis structures) for the following elements: a) magnesium; d) rubidium; b) sulfur; e) thallium; c) bromine; f) argon. 1.29. Draw the first 20 elements in the periodic table using Lewis structures (electrondot structures). 1.30. Use the periodic table to draw Lewis (electron-dot) structures for the following elements: barium (Ba), gallium (Ga), tin (Sn), bismuth (Bi), iodine i), cesium (Cs), selenium (Se), neon (Ne). 1.31. Which element has the following orbital diagram? ↑↓ 1s ↑↓ 2s ↑ 2p 1.32. Write orbital notations and complete electron configurations for atoms of the following elements, compare them to electron-dot structures. a) beryllium; c) nitrogen; b) aluminum; d) sodium. 6 1.33. Use noble-gas notation to describe the electron configurations of the elements represented by the following symbols. a) Mn; d) Zn; g) Pb; b) Kr; e) Zr; h) Ra; c) P; f) W; i) Sm. 1.34. What elements are represented by each of the following electron configurations? a) 1s22s22p5; d) [Kr]5s24d105p4; b) [Ar]4s2; e) [Rn]7s25f13; c) [Xe]6s24f4; f) 1s22s22p63s23p64s23d104p5. 1.35. Draw electron configurations and electron-dot structures (Lewis structures) for atoms of each of the following elements: a) carbon; d) potassium; b) arsenic; e) barium; c) polonium; f) indium. 1.36. Answer the following questions for the atom of antimony: a) How many electron-containing orbitals has the atom? b) How many of the orbitals are completely filled? c) How many of the orbitals are associated with the atom’s n = 5 principal energy level? 1.37. Shown below are the Lewis structures (electron-dot structures) for five elements: sulfur (S), chlorine (Cl), argon (Ar), potassium k), and calcium (Ca). Answer the questions below about these structures. a) Which of the above Lewis structures (electron-dot structures) is the same as the Lewis structure for the ion S2–? Explain your answer describing the process of electron gain/loss. b) Which of the above Lewis structures (electron-dot structures) is the same as the Lewis structure for the ion Cl–? Explain your answer describing the process of electron gain/loss. c) Which of the above Lewis structures (electron-dot structures) is the same as the Lewis structure for the ion K+? Explain your answer describing the process of electron gain/loss. d) Name an ion of calcium that has electron-dot structure similar to that of argon. Explain your answer describing the process of electron gain/loss. 7 2. THE PERIODIC TABLE AND PERIODIC LAW 2.1. Identify the name and symbol periodic table: a) Group IVA, Period 2; b) Group IB, Period 4; c) Group VIIIA, Period 6; d) Group IA, Period 1; of the elements in the following locations of the e) Group IIB, Period 5; f) Group 2 IIA, Period 4; g) Group VIIA, Period 5; h) Group IIIA, Period 3. 2.2. Identify the element that is described by the following information. Refer to a periodic table as necessary. a) It is a Group IVA element in the third period. b) It is a Group VA element in the fifth period. c) It is the other element in Group VA, with smaller total number of electrons. d) It is a halogen that exists in the liquid state at room temperature. 2.3. Develop four more element descriptions like those in problem 2.2. Exchange them with a classmate and identify each other’s elements. 2.4. Without using the periodic table, determine the group, period, and block of an atom with the following electron configurations. a) [Ne]3s2; b) [He]2s2; c) [Kr]5s24d105p5. 2.5. Determine the group, period, and block in which each of the following elements is located on the periodic table. a) [Kr]5s24d1; c) [He]2s22p6; b) [Ar]4s23d104p3; d) [Ne]3s23p1. 2.6. Identify the elements with the following valence electron configurations: a) 5s1; c) 3s2; b) 4s23d2; d) 4s24p3. 2.7. Write the electron configuration of the element fitting each of the following descriptions. a) The group 2A element in the fourth period. b) The noble gas in the fifth period. c) The group 2B element in the fourth period. d) The group 6A element in the second period. 2.8. What are the symbols for the elements with the following valence electron configurations? a) s2d1; b) s2p3; c) s2p6. 2.9. Consider the following elements: H, Li, N, F, Co, Ag, Kr, I, Hg. 8 a) Sketch an outline of the periodic table, with these elements properly placed. b) State the group number and period number each element belongs to. c) Identify each element as a metal, metalloid, or non-metal. d) Identify the state of each element at room temperature. e) Draw the Lewis structure for each of these elements. 2.10. How many valence electrons are there in an atom of each of these elements? a) strontium; f) tin; b) silicon; g) chlorine; c) bromine; h) magnesium; d) sulfur; i) helium; e) neon; j) sodium. Which of them have the same Lewis structures and which are different? 2.11. Draw Lewis structures for the elements: lithium, barium, boron, carbon, nitrogen. 2.12. Find the group and period of each of the following elements in the periodic table: a) europium; f) mercury; b) neodymium; g) ytterbium; c) carbon; h) bromine; d) nitrogen; i) chromium; e) silicon; j) krypton. 2.13. Which has the largest radius: helium (He), xenon (Xe), or argon (Ar)? Which has the smallest? 2.14. Which has the largest radius: magnesium (Mg), silicon (Si), sulfur (S), or sodium (Na)? The smallest? 2.15. Which has the largest atomic radius: nitrogen (N), antimony (Sb), or arsenic (As)? The smallest? 2.16. Using only their location in the periodic table, rank the atoms in each set by decreasing atomic size. Explain your answers. a) Mg, Be, Ba; f) Se, Br, Cl; b) Ca, Se, Ga; g) Mg, Ca, Li; c) Br, Rb, Kr; h) Sr, Te, Se; d) Se, Br, Ca; i) In, Br, I; e) Ba, Sr, Cs; j) S, Se, O. 2.17. Using only a periodic table, rank the atoms in each set in order of decreasing size. Explain your ranking. a) Na, K, H; b) Mg, S, Si; c) Cl, K, Ar. 9 2.18. Using only their location in a periodic table, rank each of the following sets of elements in order of increasing atomic size. Explain your answer in each case. a) Mg, S, Cl; d) Rb, Xe, Te; b) Al, B, In; e) P, Na, F; c) Ne, Ar, Xe; f) O, S, N. 2.19. Can you determine which of two unknown elements has the larger radius if the only known information is that the atomic number of one of the elements is 20 greater than the other? 2.20. Using only their location in a periodic table, rank each of the following sets of elements in order of decreasing ionization energy. Explain your answer in each case. a) Cl, Br, I; d) Na, Li, Cs; b) Ga, Ge, Se; e) S, Cl, Br; c) K, Ca, Kr; f) Cl, Ar, K. 2.21. Using only a periodic table, rank the elements in each set in order of increasing ionization energy. Explain your ranking. a) B, N, F; b) F, Cl, Br; c) Na, Cs, K. 2.22. Using only a periodic table, rank the elements in each set by increasing ionization energy. Explain your answers. a) Xe, He, Ar; d) Kr, Br, K; b) Sn, In, Sb; e) K, Ca, Rb; c) Sr, Ca, Ba; f) Kr, Br, Rb. 2.23. Using only a periodic table, identify the atom in each of the following pairs with the lower first ionization energy. a) B, O; d) F, N; b) B, In; e) Ca, K; c) I, F; f) B, Tl. 2.24. Using only a periodic table, rank the elements in each set in order of increasing electron affinity. Explain your ranking. a) Be, Ca, Mg; b) Kr, Se, Br; c) Na, Cs, K. 2.25. Which element in each of the following pairs will have the lower electron affinity? Explain your answer in each case. a) K or Ca; c) S or Se; b) O or Li; d) Cs or F. 2.26. Based only on their position in the periodic table, arrange the elements in each set in order of increasing attraction for electrons in a bond. a) Li, Br, Zn, La, Si; b) P, Ga, Cl, Y, Cs. 10 2.27. Which element in each pair is more electronegative? a) K, As; b) N, Sb; c. Sr, Be. 2.28. For each of the following properties, indicate whether fluorine or bromine has a larger value. a) electronegativity; c) atomic radius; b) ionic radius; d. ionization energy. 2.29. Give the correct responses in the following questions. Explain why according to the location of the elements in the periodic table. a) Which has the lower ionization energy? Li or K. b) Which would be more polar? HF or HBr. c) Which is more nonmetallic? F or I. d) Which is more electronegative? K or Rb. e) Which has more outer shell electrons? Ca or C. f) Which would you expect to be more ionic? LiF or HCl. 2.30. Element A, with three electrons in its outer energy level, is in Period 4 of the periodic table. How does the number of its valence electrons compare with that of Element B, which is in Group IIIA and Period 6? Use Lewis structures to help you express your answer. 2.31. Predict the composition and ionic or molecular character for binary compounds of the following elements with hydrogen: a) Li, Sn, Se; b) K, C, Se; c) Na, B, Sb. 2.32. Write formulas for the products of reactions of the following elements with the excess of oxygen. Are they of acidic or basic character? a) Na, Mg, Al, Si, P, S, Cl; b) Rb, Sr, In, Sn, Sb, Te, I. 2.33. Describe an element, using only the periodic table. The following answers must be given fully. a) What is the name and the symbol of the element? b) What is its location in the periodic table (group and period)? c) How many protons and neutrons are in the nucleus of its atom? d) How many electrons are in its atom? e) What is the electron configuration of the element? f) How many valence electrons does it have (according to Lewis structure)? g) What element block does it belong to? h) Is it a metal, semi-metal, nonmetal? i) What is its compound with hydrogen, is it of ionic or molecular character? j) What is the formula of its oxide (in the higher oxidation state), is it of acidic or basic character? 11 3. ENERGY AND CHEMICAL CHANGE 3.1. An exothermic reaction releases 86.5 kJ. How many kilocalories of energy are released? 3.2. If an endothermic process absorbs 256 J, how many kilocalories are absorbed? 3.3. What is the equivalent in joules of 126 calories? 3.4. Convert 455 kilojoules to kilocalories. 3.5. In the construction of bridges and skyscrapers, gaps must be left between adjoining steel beams to allow for the expansion and contraction of the metal due to heating and cooling. The temperature of a sample of iron with a mass of 10.0 g changed from 50.4°C to 25.0°C with the release of 114 J heat. What is the specific heat of iron? 3.6. If the temperature of 34.4 g of ethanol increases from 25.0°C to 78.8°C, how much heat has been absorbed by the ethanol? 3.7. A nugget of pure gold with the mass of 4.50 g absorbed 276 J of heat. What was the final temperature of the gold if the initial temperature was 25.0°C? The specific heat of gold is in the table (problem 3.8.). 3.8. A 155 g sample of an unknown substance was heated from 25.0°C to 40.0°C. In the process, the substance absorbed 5696 J of energy. What is the specific heat of the substance? Identify the substance among those listed in the table: Specific Heats of Common Substances at 298 K (25 oC) Substance Specific heat, J/g oC Substance Specific heat, J/g oC Water (l) 4.184 Aluminum (s) 0.897 Water (s) = ice 2.03 Iron (s) 0.449 Water (g) = steam 2.01 Lead (s) 0.129 Ethanol (l) 2.44 Silver (s) 0.235 Granite (s) 0.803 Gold (s) 0.129 3.9. What is the specific heat of an unknown substance if a 2.50-g sample releases 12.0 cal as its temperature changes from 25.0°C to 20.0°C? 3.10. The temperature of 55.6 grams of a material decreases by 14.8°C when it loses 3080 J of heat. What is its specific heat? 3.11. What is the specific heat of a metal if the temperature of a 12.5 g sample increases from 19.5°C to 33.6°C when it absorbs 37.7 J of heat? 12 3.12. A sample of ethylene glycol, used in car radiators, has a mass of 34.8 g. The sample liberates 783 J of heat. The initial temperature of the sample is 22.1°C. What is the final temperature? 3.13. A sample of ethanol, C2H5OH, absorbs 23.4 kJ of energy. The temperature of the sample increases from 5.6°C to 19.8°C. What is the mass of the ethanol sample? The specific heat capacity of ethanol is 2.46 J/(g ⋅ °C). 3.14. A child’s swimming pool contains 1000 L of water. When the water is warmed by solar energy, its temperature increases from 15.3°C to 21.8°C. How much heat does the water absorb? 3.15. What temperature change results from the loss of 255 kJ from a 10.0 kg sample of water? 3.16. If 335 g water at 65.5°C loses 9750 J of heat, what is the final temperature of the water? 3.17. The temperature of a sample of water increases from 20.0°C to 46.6°C as it absorbs 5650 J of heat. What is the mass of the sample? 3.18. Explain how you could calculate the heat released in freezing 0.250 mol water. 3.19. How much heat is required to warm 122 g of water by 23.0°C? 3.20. Which of the following processes are exothermic? Endothermic? a) C2H5OH(l) → C2H5OH(g). b) NH3(g) → NH3(l). c) Br2(l) → Br2(s). d) NaCl(s) → NaCl(l). e) C5H12(g) + 8 O2(g) → 5 CO2(g) + 6 H2O(l). 3.21. Write the correct sign of ΔH for each of the following changes in physical state. a) C2H5OH(s) → C2H5OH(l). b) H2O(g) → H2O(l). c) CH3OH(l) → CH3OH(g). d) NH3(l) → NH3(s). 3.22. A reaction is characterized by ΔH = –500 kJ/mol. Does the reaction mixture absorb heat from the surroundings or release heat to them? 3.23. A reaction is characterized by ΔH = +280 kJ/mol. Does the mixture of reactants and products release heat to the surroundings or absorb heat from them? 13 3.24. For each of the following reactions, determine: (a) does the enthalpy increase or decrease; (b) is Hreactant > Hproduct or is Hproduct > Hreactant; (c) is ΔH positive or negative? a) Al2O3(s) → 2Al(s) + 3/2 O2(g) (endothermic); b) Sn(s) + Cl2(g) → SnCl2(s) (exothermic). 3.25. Consider the following reaction: N2(g) + O2(g) → 2 NO(g); ΔHo = –180.6 kJ. a) Draw an enthalpy diagram for the reaction. b) What is the enthalpy change for the formation of one mole of nitrogen monoxide? c) What is the enthalpy change for the reaction of 1.00⋅102 g of nitrogen with sufficient oxygen? 3.26. The reaction of iron with oxygen is very familiar. You can see the resulting rust on buildings, vehicles, and bridges. You may be surprised, however, at the large amount of heat that is produced by this reaction. 4 Fe(s) + 3 O2(g) → 2 Fe2O3(s) + 1.65⋅103 kJ. a) What is the enthalpy change for this reaction? b) Draw an enthalpy diagram that corresponds to the thermochemical equation. c) What is the enthalpy change for the formation of 23.6 g of iron(III) oxide? 3.27. Tetraphosphorus decoxide, P4O10, is an acidic oxide. It reacts with water to produce phosphoric acid, H3PO4, in an exothermic reaction. P4O10(s) + 6 H2O(l) → 4 H3PO4(aq); ΔHo = –257.2 kJ a) How much energy is released when 5.00 mol of P4O10 reacts with excess water? c) How much energy is released when 235 g of H3PO4 is formed? 3.28. Calcium oxide, CaO, reacts with carbon in the form of graphite. Calcium carbide, CaC2, and carbon monoxide, CO, are produced in an endothermic reaction. CaO(s) + 3 C(s) + 462.3 kJ → CaC2(s) + CO(g) a) 246.7 kJ of energy is available to react. What mass of calcium carbide is produced, assuming sufficient reactants? b) What is the enthalpy change for the reaction of 46.7 g of graphite with excess calcium oxide? c) 1.38⋅1024 molecules of calcium oxide react with excess graphite. How much energy is needed? 3.29. Acetylene, C2H2, undergoes complete combustion in oxygen. Carbon dioxide and water are formed. When one mole of acetylene reacts, 1.3⋅103 kJ of energy is released. a) Draw a diagram to represent the thermochemical equation. b) How much energy is released when the complete combustion of acetylene produces 1.50 g of water? 14 3.30. Ethene, C2H4, reacts with water to form ethanol, CH3CH2OH: C2H4(g) + H2O(l) → CH3CH2OH(l). Determine the enthalpy change of this reaction, given the following thermochemical equations. 1. CH3CH2OH(l) + 3 O2(g) → 3 H2O(l) + 2 CO2(g); ΔHo = –1367 kJ. 2. C2H4(g) + 3 O2(g) → 2 H2O(l) + 2 CO2(g); ΔHo = –1411 kJ. 3.31. A typical automobile engine uses a lead-acid battery. During discharge, the following chemical reaction takes place: Pb(s) + PbO2(s) + 2 H2SO4(l) → 2 PbSO4(aq) + 2 H2O(l). Determine the enthalpy change of this reaction, given the following equations. 1. Pb(s) + PbO2(s) + 2 SO3(g) → 2 PbSO4(s); ΔHo = –775 kJ. 2. SO3(g) + H2O(l) → H2SO4(l); ΔHo = –133 kJ. 3.32. Mixing household cleansers can result in the production of hydrogen chloride gas, HCl(g). Not only is this gas dangerous in its own right, but it also reacts with oxygen to form chlorine gas and water vapour. 4 HCl(g) + O2(g) → 2 Cl2(g) + 2 H2O(g). Determine the enthalpy change of this reaction, given the following equations. 1. H2(g) + Cl2(g) → 2 HCl(g); ΔHo = –185 kJ. 2. H2(g) + 1/2 O2(g) → H2O(l); ΔHo = –285.8 kJ. 3. H2O(g) → H2O(l); ΔHo = –40.7 kJ. 3.33. Calculate the enthalpy change of the following reaction between nitrogen gas and oxygen gas, given thermochemical equations (1), (2), and (3). 2 N2(g) + 5 O2(g) → 2 N2O5(g). 1. 2 H2(g) + O2(g) → 2 H2O(l); ΔHo = –572 kJ. 2. N2O5(g) + H2O(l) → 2 HNO3(l); ΔHo = –77 kJ. 3. 1/2 N2(g) + 3/2 O2(g) + 1/2 H2(g) → HNO3(l); ΔHo = –174 kJ. 3.34. Calculate ΔHo for the reaction 2 C(s) + 2 H2(g) → C2H4(g) given the following thermochemical equations: 1. 2 CO2(g) + 2 H2O(l) → C2O4(g) + 3 O2(g); ΔHo = 1411 kJ. 2. C(s) + O2(g) → CO2(g); ΔHo = –393.5 kJ. 3. 2 H2(g) + O2(g) → 2 H2O(l); ΔHo = –572 kJ. 3.35. Calculate ΔHo for the reaction HCl(g) + NH3(g) → NH4Cl(s) given the following thermochemical equations: 1. H2(g) + Cl2(g) → 2 HCl(g); ΔHo = –184 kJ. 2. N2(g) + 3 H2(g) → 2 NH3(g); ΔHo = –92 kJ. 3. N2(g) + 4 H2(g) + Cl2(g) → 2 NH4Cl(s); ΔHo = –628 kJ. 15 3.36. Calculate the enthalpy change of the following reaction, given equations (1), (2), and (3): 2 H3BO3(aq) → B2O3(s) + 3 H2O(l). 1. H3BO3(aq) → HBO2(aq) + H2O(l); ΔHo = –0.02 kJ. 2. H2B4O7(s) + H2O(l) → 4 HBO2(aq); ΔHo = –11.3 kJ. 3. H2B4O7(s) → 2 B2O3(s) + H2O(l); ΔHo = 17.5 kJ. 3.37. Hydrogen can be added to ethene, C2H4, to obtain ethane, C2H6. C2H4(g) + H2(g) → C2H6(g). Show that the equations for the formation of ethene and ethane from their elements can be algebraically combined to obtain the equation for the addition of hydrogen to ethene. 3.38. Zinc sulfide reacts with oxygen gas to produce zinc oxide and sulfur dioxide. 2 ZnS(s) + 3 O2(g) → 2 ZnO(s) + 2 SO2(g). Write the chemical equation for the formation of the indicated number of moles of each compound from its elements. Algebraically combine these equations to obtain the given equation. 3.39. The standard molar enthalpy of formation of calcium carbonate is –1207.6 kJ/mol. Calculate the enthalpy of formation of calcium oxide, given the following equation: CaO(s) + CO2(g) → CaCO3; ΔHo = –178.1 kJ. 3.40. Small amounts of oxygen gas can be produced in a laboratory by heating potassium chlorate, KClO3. 2 KClO3(s) → 2 KCl(s) + 3 O2(g). Calculate the enthalpy change of this reaction, using enthalpies of formation, namely: ΔHof (KClO3) = –397.7 kJ/mol; ΔHof (KCl) = –436.5 kJ/mol. 3.41. Use the following equation to answer the questions below. CH3OH(l) + 1.5 O2(g) → CO2(g) + 2 H2O(g). a) Calculate the enthalpy change of the complete combustion of one mole of methanol, using enthalpies of formation: ΔHof (CH3OH) = –239.2 kJ/mol; ΔHof (CO2) = –393.5 kJ/mol; ΔHof (H2O(g)) = –241.8 kJ/mol. b) How much energy is released when 125 g of methanol undergoes complete combustion? 3.42. In the early 1960s, Neil Bartlett, at the University of British Columbia, was the first person to synthesize compounds of the noble gas xenon. A number of noble gas compounds (such as XeF2, XeF4, XeF6, and XeO3) have since been synthesized. Consider the reaction of xenon difluoride with fluorine gas to produce xenon tetrafluoride: XeF2(g) + F2(g) → XeF4(s). Use the following standard molar enthalpies of formation to calculate the enthalpy change for this reaction: ΔHof (XeF2) = – 108 kJ/mol; ΔHof (XeF4) = –251 kJ/mol. 16 3.43. Hydrogen is a very appealing fuel, in part because burning it produces only nonpolluting water. One of the challenges that researchers face in making hydrogen fuel a reality is how to produce hydrogen economically. Researchers are investigating methods of producing hydrogen indirectly. The following series of equations represent one such method. 3 FeCl2(s) + 4 H2O(g) → Fe3O4(s) + 6 HCl(g) + H2(g); ΔHo = 318 kJ; Fe3O4(s) + 3/2 Cl2(g) + 6 HCl(g) → 3 FeCl3(s) + 3 H2O(g) + 1/2 O2(g); ΔHo = –249 kJ; 3 FeCl3(s) → 3 FeCl2(s) + 3/2 Cl2(g); ΔHo = 173 kJ. a) Show that the net result of the three reactions is the decomposition of water to produce hydrogen and oxygen. b) Use Hess’s law and the enthalpy changes for the reactions to determine the enthalpy change for the decomposition of one mole of water. Check your answer, using the enthalpy of formation of water, ΔHof (H2O(g)) = –241.8 kJ/mol. 3.44. Predict the sign of entropy change ΔS for the following reaction. Explain the basis for your prediction: 2 H2(g) + O2(g) → 2 H2O (g). 3.45. Predict the sign of entropy change ΔS for each reaction or process. a) FeS(s) → Fe2+(aq) + S2–(aq) b) SO2(g) + H2O(l) → H2SO3(aq) 3.46. If ΔHo = 285.4 kJ/mol and ΔSo = 137.55 J/mol K, calculate Gibbs free energy change ΔGo at 25 oC for the supposed process. Is the reaction spontaneous? Is either or both of the driving forces (ΔHo and ΔSo) for the reaction favorable? 3.47. Calculate ΔGo at 25°C for the reaction 2 NO2(g) → N2O4(g) given functions ΔHo = –57.20 kJ/mol and ΔSo = –175.83 J/mol K. Is this reaction spontaneous? What is the driving force for spontaneity? 3.48. The standard Gibbs free energy of formation has the values: –286.06 kJ/mol for NaI(s), –261.90 kJ/mol for Na+(aq), and –51.57 kJ/mol for I–(aq) at 25°C. Calculate ΔGo for the reaction in water: NaI(s) ⇄ Na+(aq) + I–(aq). 3.49. Calculate ΔGo at 700 K for the reduction of the oxides of iron and copper by carbon, represented by the equations: 1. 2 Fe2O3(s) + 3 C(graphite) → 4 Fe(s) + 3 CO2(g); 2. 2 CuO(s) + C(graphite) → 2 Cu(s) + CO2(g). Values of ΔGof at 700 K are –92 kJ/mol for CuO(s), –632 kJ/mol for Fe2O3(s), and –395 kJ/mol for CO2(g). Which oxide can be reduced using carbon in a wood fire (which has a temperature of about 700 K), assuming standard state conditions? 17 4. RATES OF CHEMICAL REACTIONS 4.1. The following reaction is second order in A and first order in B: 2 A + B → 3 C. What is the rate law equation for the reaction below? (Assume that A, B, and C are the same compounds for each reaction.) 4 A + 2 B → 6 C. 4.2. Consider the general reaction below: a A + b B → c C + d D. Based on this equation, is it correct to write the following rate law equation by inspection? Explain your answer. Rate = k [A]a [B]b. 4.3. Consider the following rate law equation. Rate = k [A]2 [B]. a) How does the reaction rate change if [A] decreases by a factor of 2 and [B] increases by a factor of 4? b) How does the reaction rate change if [A] and [B] are doubled? 4.4. Consider the following rate law equation: Rate = k [HCrO4–] [HSO3–]2 [H+]. a) What is the order with respect to each reactant? b) What is the overall reaction order? c) What are the units for the rate constant? 4.5. Cyclopropane, C3H6, is used in the synthesis of organic compounds and as a fastacting anesthetic. It undergoes rearrangement to form propene C3H6. If cyclopropane disappears at a rate of 0.25 mol/s, at what rate is propene being produced? 4.6. Ammonia, NH3, reacts with oxygen to produce nitric oxide, NO, and water vapour. 4 NH3(g) + 5 O2(g) → 4 NO(g) + 6 H2O(g). At a specific time in the reaction, ammonia is disappearing at rate of 0.068 mol/(L ⋅ s). What is the corresponding rate of production of water? 4.7. Hydrogen bromide reacts with oxygen to produce bromine and water vapour. 4 HBr(g) + O2(g) → 2 Br2(g) + 2 H2O(g). How does the rate of decomposition of HBr (in mol/(L ⋅ s) ) compare with the rate of formation of Br2 (also in mol/(L ⋅ s) )? Express your answer as an equation. 4.8. Magnesium metal reacts with hydrochloric acid to produce magnesium chloride and hydrogen gas: Mg(s) + 2 HCl(aq) → MgCl2(aq) + H2(g). Over an interval of 1.00 s, the mass of Mg(s) changes by −0.011 g. 18 a) What is the corresponding rate of consumption of HCl(aq) (in mol/s)? b) Calculate the corresponding rate of production of H2(g) (in L/s) at 20°C and 101 kPa. 4.9. In the following reaction, the rate of production of sulfate ions is calculated to be 1.25⋅10–3 mol/(L ⋅ s). 2 HCrO4– + 3 HSO3– + 5 H+ → 2 Cr3+ + 3 SO42– + 5 H2O. a) What is the corresponding rate at which [HSO3–] decreases over the same time interval? b) What is the corresponding rate at which [HCrO4–] decreases over the same time interval? 4.10. Use the data in the following table to calculate the average reaction rates. Experimental Data for H2 + Cl2 → 2 HCl Time (s) [H2] (M) [Cl2] (M) [HCl] (M) 0.00 0.030 0.050 0.000 4.00 0.020 0.040 0.020 a) Calculate the average reaction rate expressed in moles H2 consumed per liter per second. b) Calculate the average reaction rate expressed in moles Cl2 consumed per liter per second. c) Calculate the average reaction rate expressed in moles HCl produced per liter per second. 4.11. When heated, ethylene oxide decomposes to produce methane and carbon monoxide: C2H4O(g) → CH4(g) + CO(g). At 415°C, the following initial rate data were recorded. Determine the rate law equation and the rate constant at 415 oC. Experiment 1 2 3 [C2H4O] (mol/L) 0.00285 0.00428 0.00570 Initial rate (mol/(L ⋅ s) 5.84 ⋅ 10-7 8.76 ⋅ 10-7 1.17 ⋅ 10-6 4.12. Iodine chloride reacts with hydrogen to produce iodine and hydrogen chloride: 2 ICl + H2 → I2 + 2 HCl. At temperature T, the following initial rate data were recorded. Determine the rate law equation and the rate constant at temperature T. Experiment 1 2 3 [ICl]0 (mol/L) 0.20 0.40 0.20 [H2]0 (mol/L) 0.050 0.050 0.200 19 Initial rate (mol/(L ⋅ s) 0.0015 0.0030 0.0060 4.13. Sulfuryl chloride (also known as chlorosulfuric acid and thionyl chloride), SO2Cl2, is used in a variety of applications. At a certain temperature, the rate of decomposition of sulfuryl chloride was studied: SO2Cl2(g) → SO2(g) + Cl2(g). Experiment 1 2 3 [SO2Cl2] (mol/L) 0.150 0.300 0.450 Initial rate (mol/(L ⋅ s) 3.3 ⋅ 10–6 6.6 ⋅ 10–6 9.9 ⋅ 10–6 a) Write the rate law equation for the decomposition of sulfuryl chloride. b) Determine the rate constant, k, for the reaction, with the appropriate units. 4.14. A first-order decomposition reaction has a rate constant of 2.34 ⋅ 10–2 year–1. What is the half-life of the reaction? Express your answer in years and in seconds. 4.15. When cyclopropane, C3H6, undergoes rearrangement to propene at 1000°C, the first-order rate constant for the decomposition of cyclopropane is 9.2 s−1. a) Determine the half-life of the reaction. b) What percent of the original concentration of cyclopropane will remain after 4 half-lives? 4.16. The following reaction is exothermic. 2 ClO(g) → Cl2(g) + O2(g). Draw and label a potential energy diagram for the reaction. Propose a reasonable activated complex. 4.17. Consider the following reaction. AB + C → AC + B; ΔH = 65 kJ; Ea(rev) = 34 kJ. a) Draw and label a potential energy diagram for this reaction. b) Calculate and label Ea(fwd). Include a possible structure for the activated complex. 4.18. Consider the reaction: C + D → CD; ΔH = –132 kJ; Ea(fwd) = 61 kJ. a) Draw and label a potential energy diagram for this reaction. b) Calculate and label Ea(rev). Include a possible structure for the activated complex. 4.19. In the upper atmosphere, oxygen exists in forms other than O2(g). For example, it exists as ozone, O3(g), and as single oxygen atoms, O(g). Ozone and atomic oxygen react to form two molecules of oxygen. For this reaction, the enthalpy change is −392 kJ and the activation energy is 19 kJ. Draw and label a potential energy diagram. Include a value for Ea(rev). Propose a structure for the activated complex. 20 5. DYNAMIC CHEMICAL EQUILIBRIUM 5.1. Write the equilibrium expression for each homogeneous reaction. a) The reaction between nitrogen gas and oxygen gas at high temperatures: N2(g) + O2(g) ⇄ 2 NO(g). b) The reaction between hydrogen gas and oxygen gas to form water vapour: 2 H2(g) + O2(g) ⇄ 2 H2O(g). c) The reduction-oxidation equilibrium of iron and iodine ions in aqueous solution: 2 Fe3+(aq) + 2 I–(aq) ⇄ 2 Fe2+(aq) + I2(aq). d) The oxidation of ammonia: 4 NH3(g) + 5 O2(g) ⇄ 4 NO(g) + 6 H2O(g). 5.2. Write equilibrium constant expressions for these equilibria. a) N2O4(g) ⇄ 2 NO2(g); b) CO(g) + 3 H2(g) ⇄ CH4(g) + H2O(g); c) 2 H2S(g) ⇄ 2 H2(g) + S2(g). 5.3. Write equilibrium constant expressions for these heterogeneous equilibria. a) C10H8(s) ⇄ C10H8(g); b) CaCO3(s) ⇄ CaO(s) + CO2(g); c) H2O(l) ⇄ H2O(g); d) C(s) + H2O(g) ⇄ CO(g) + H2(g); e) FeO(s) + CO(g) ⇄ Fe(s) + CO2(g). 5.4. Three reactions, and their equilibrium constants, are given below. 1. N2(g) + O2(g) ⇄ 2 NO(g); Keq = 4.7⋅10–31. 2. 2 NO(g) + O2(g) ⇄ 2 NO2(g); Keq = 1.8⋅10–6. 3. N2O4(g) ⇄ 2 NO2(g); Keq = 0.025. Arrange these reactions in the order of their tendency to form products. 5.5. Identify each reaction as essentially going to completion or not taking place. a) N2(g) + 3 Cl2(g) ⇄ 2 NCl3(g); Keq = 3.0⋅1011. b) 2 CH4(g) ⇄ C2H6(g) + H2(g); Keq = 9.5⋅10–13. c) 2 NO(g) + 2 CO(g) ⇄ N2(g) + 2 CO2(g); Keq = 2.2⋅1059. 21 5.6. Most metal ions combine with other ions in solution. For example, in aqueous ammonia, silver(I) ions are at equilibrium with different complex ions. [Ag(H2O)2]+(aq) + 2 NH3(aq) ⇄ [Ag(NH3)2]+(aq) + 2 H2O(l). At room temperature, Keq for this reaction is 1⋅107. Which of the two silver complex ions is more stable? Explain your reasoning. 5.7. Consider the following reaction: H2(g) + Cl2(g) ⇄ 2 HCl(g). Its equilibrium constant Keq = 2.4⋅1033 at 25 oC. HCl(g) is placed in a reaction vessel. To what extent do you expect the equilibrium mixture to dissociate into H2(g) and Cl2(g)? 5.8. The following reaction took place in a sealed flask at 250°C: PCl5(g) ⇄ PCl3(g) + Cl2(g). At equilibrium, the gases in the flask had the following concentrations: [PCl5] = 1.2⋅10–2 mol/L, [PCl3] = 1.5⋅10–2 mol/L, and [Cl2] = 1.5⋅10–2 mol/L. Calculate the value of Keq at 250°C. 5.9. Iodine and bromine react to form iodine monobromide, IBr. I2(g) + Br2(g) ⇄ 2 IBr(g). At 250°C, an equilibrium mixture in a 2.0 L flask contained 0.024 mol of I2(g), 0.050 mol of Br2(g), and 0.38 mol of IBr(g). What is the value of Keq for the reaction? 5.10. At high temperatures, carbon dioxide gas decomposes into carbon monoxide and oxygen gas. At equilibrium, the gases have the following concentrations: [CO2(g)] = = 1.2 mol/L, [CO(g)] = 0.35 mol/L, and [O2(g)] = 0.15 mol/L. Determine Keq at the temperature of the reaction. 5.11. Hydrogen sulfide is a pungent, poisonous gas. At 1400 K, an equilibrium mixture was found to contain 0.013 mol/L hydrogen, 0.046 mol/L sulfur in the form of S2(g), and 0.18 mol/L hydrogen sulfide. Calculate the equilibrium constant, at 1400 K, for the following reaction: 2 H2S(g) ⇄ 2 H2(g) + S2(g). 5.12. Methane, ethyne, and hydrogen form the following equilibrium mixture: 2 CH4(g) ⇄ C2H2(g) + 3 H2(g). While studying this reaction mixture, a chemist analyzed a 4.0 L sealed flask at 1700°C. The chemist found 0.46 mol of CH4(g), 0.64 mol of C2H2(g), and 0.92 mol of H2(g). What is the value of Keq for the reaction at 1700°C? 5.13. Sulfur atoms combine to form molecules that have different numbers of atoms depending on the temperature. At about 1050°C, the following dissociation occurs: S8(g) ⇄ 4 S2(g). 22 The initial concentration of S8(g) in a flask is 9.2⋅10−3 mol/L, and the equilibrium concentration of the same gas is 2.3⋅10−3 mol/L. What is the value of Keq? 5.14. Consider an equilibrium in which oxygen gas reacts with gaseous hydrogen chloride to form gaseous water and chlorine gas. At equilibrium, the gases have the following concentrations: [O2] = 8.6⋅10−2 mol/L, [HCl] = 2.7⋅10−2 mol/L, [H2O] = = 7.8⋅10−3 mol/L, [Cl2] = 3.6⋅10−3 mol/L. a) Write a balanced chemical equation for this reaction. b) Calculate the value of the equilibrium constant. 5.15. Calculate Keq for the equilibrium: N2O4(g) ⇄ 2 NO2(g), using the data [N2O4] = 0.0185 mol/L and [NO2] = 0.0627 mol/L. 5.16. Calculate Keq for the equilibrium: CO(g) + 3 H2(g) ⇄ CH4(g) + H2O(g), using the data [CO] = 0.0613 mol/L, [H2] = 0.1839 mol/L, [CH4] = 0.0387 mol/L, and [H2O] = 0.0387 mol/L. 5.17 Determine the value of equilibrium constant at 400 K for the decomposition of phosphorus pentachloride, if [PCl5] = 0.135 mol/L, [PCl3] = 0.550 mol/L, and [Cl2] = = 0.550 mol/L. The equation for the reaction is: PCl5(g) ⇄ PCl3(g) + Cl2(g). 5.18. At 25 °C, the value of Keq for the following reaction is 82. I2(g) + Cl2(g) ⇄ 2 ICl(g). 0.83 mol of I2(g) and 0.83 mol of Cl2(g) are placed in a 10 L container at 25 °C. What are the concentrations of the three gases at equilibrium? 5.19. At a certain temperature, Keq = 4.0 for the following reaction: 2 HF(g) ⇄ H2(g) + F2(g). A 1.0 L reaction vessel contained 0.045 mol of F2(g) at equilibrium. What was the initial amount of HF in the reaction vessel? 5.20. A chemist was studying the following reaction: SO2(g) + NO2(g) ⇄ NO(g) + SO3(g). In a 1.0 L container, the chemist added 0.17 mol of SO2 to 0.11 mol of NO2. The value of Keq for for the reaction at a certain temperature is 4.8. What is the equilibrium concentration of SO3 at this temperature? 23 5.21. Phosgene, COCl2, is an extremely toxic gas. It is prepared by mixing carbon monoxide and chlorine gas: CO(g) + Cl2(g) ⇄ COCl2(g). 0.055 mol of CO and 0.072 mol of Cl2 are placed in a 5.0 L container. At 870 K, the equilibrium constant is 0.20. What are the equilibrium concentrations of the mixture? 5.22. Hydrogen bromide decomposes at 700 K. 2 HBr(g) ⇄ H2(g) + Br2(g); Keq = 4.2⋅10–9. 0.090 mol of HBr is placed in a 2.0 L reaction vessel and heated to 700 K. What is the equilibrium concentration of each gas? 5.23. The following equation represents the equilibrium reaction for the dissociation of phosgene gas: COCl2(g) ⇄ CO(g) + Cl2(g). At 100 °C, the value of Keq for this reaction is 2.2⋅10−8. The initial concentration of COCl2 in a closed container at 100 °C is 1.5 mol/L. What are the equilibrium concentrations of CO and Cl2? 5.24. Hydrogen sulfide dissociates into hydrogen and sulfur in gaseous state at 1400 °C, with Keq equal to 2.4⋅10−4. Suppose, 4.0 mol of H2S is placed in a 3.0 L container. What is the equilibrium concentration of H2 at 1400°C? 5.25. At a certain temperature, the value of Keq for the following reaction is 3.3⋅10–12. 2 NCl3(g) ⇄ N2(g) + 3 Cl2(g). A certain amount of nitrogen trichloride, NCl3, is put in a 1.0 L reaction vessel at this temperature. At equilibrium, 4.6⋅10−4 mol of N2 is present. What amount of NCl3 was put in the reaction vessel? 5.26. At a certain temperature, the value of Keq for the following reaction is 4.2⋅10–8. N2(g) + O2(g) ⇄ 2 NO(g). 0.45 mol of N2 and 0.26 mol of O2 are put in a 6.0 L reaction vessel. What is the equilibrium concentration of NO at this temperature? 5.27. At a particular temperature, Keq for the decomposition of carbon dioxide gas equals 2.0⋅10–6. 2 CO2(g) ⇄ 2 CO(g) + O2(g). 3.0 mol of CO2 is put in a 5.0 L container. Calculate the equilibrium concentration of each gas. 5.28. 0.50 mol of CO and 0.50 mol of H2O are placed in a 10 L container at 700 K. The following reaction occurs: CO(g) + H2O(g) ⇄ H2(g) + CO2(g); Keq = 8.3. What is the concentration of each gas that is present at equilibrium? 24 5.29. At a certain temperature, Keq = 10.5 for the equilibrium CO(g) + 2 H2(g) ⇄ CH3OH(g). Calculate these concentrations: a) [CO] in an equilibrium mixture with 0.933 mol/L H2 and 1.32 mol/L CH3OH; b) [H2] in an equilibrium mixture with 1.09 mol/L CO and 0.325 mol/L CH3OH; c) [CH3OH] in an equilibrium mixture with 0.0661 mol/L H2 and 3.85 mol/L CO. 5.30. Equilibrium constant is 1.60 at 933 K for this reaction: H2(g) + CO2(g) ⇄ H2O(g) + CO(g). Calculate the equilibrium concentration of hydrogen when [CO2] = 0.320 mol/L, [H2O] = 0.240 mol/L, and [CO] = 0.280 mol/L. 5.31. At 2273 K, Keq = 6.2⋅10–4 for the reaction: N2(g) + O2(g) ⇄ 2 NO(g). If [N2] = 0.05200 mol/L and [O2] = 0.00120 mol/L, what is the concentration of NO at equilibrium? 5.32. How would decreasing the volume of the reaction vessel affect these equilibria? a) 2 SO2(g) + O2(g) ⇄ 2 SO3(g). b) H2(g) + Cl2(g) ⇄ 2 HCl(g). c) 2 NOBr(g) ⇄ 2 NO(g) + Br2(g). 5.33. Use Le Chatelier’s principle to predict how each of these changes would affect the ammonia equilibrium system: N2(g) + 3 H2(g) ⇄ 2 NH3(g); a) removing hydrogen from the system; b) adding ammonia to the system; c) adding hydrogen to the system. 5.34. In the following equilibrium, would you raise or lower the temperature to obtain these results? C2H2(g) + H2O(g) ⇄ CH3CHO(g); ΔH° = –151 kJ; a) an increase in the amount of CH3CHO; b) a decrease in the amount of C2H2; c) an increase in the amount of H2O. 5.35. Predict how this equilibrium would respond to a simultaneous increase in both temperature and pressure. CO(g) + Cl2(g) ⇄ COCl2(g); ΔH° = –220 kJ. 25 5.36. Use Le Chatelier’s principle to predict how each of the following changes would affect this equilibrium: H2(g) + CO2(g) ⇄ H2O(g) + CO(g); a) adding H2O(g) to the system; b) removing CO(g) from the system; c) adding H2(g) to the system; d) adding something to the system to absorb CO2(g). 5.37. How would increasing the volume of the reaction vessel affect these equilibria? a) NH4Cl(s) ⇄ NH3(g) + HCl(g). b) N2(g) + O2(g) ⇄ 2 NO(g). 5.38. How would decreasing the volume of the reaction vessel affect these equilibria? a) 2 N2H4(g) + 2 NO2(g) ⇄ 3 N2(g) + 4 H2O(g). b) 2 H2O(g) ⇄ 2 H2(g) + O2(g). 5.39. How would these equilibria be affected by increasing the temperature? a) 4 NH3(g) + 5 O2(g) ⇄ 4 NO(g) + 6 H2O(g) + heat. b) heat + NaCl(s) ⇄ Na+(aq) + Cl–(aq). 5.40. Ethylene (C2H4) reacts with hydrogen to form ethane (C2H6): C2H4(g) + H2(g) ⇄ C2H6(g) + heat. How would you regulate the temperature of this equilibrium to do the following? a) increase the yield of ethane; b) decrease the concentration of ethylene; c) increase the amount of hydrogen in the system. 5.41. How would simultaneously decreasing the temperature and volume of the system affect these equilibria? a) heat + CaCO3(s) ⇄ CaO(s) + CO2(g). b) 4 NH3(g) + 5 O2(g) ⇄ 4 NO(g) + 6 H2O(g) + heat. 5.42. Consider the following reaction: H2(g) + I2(g) + 52 kJ ⇄ 2 HI(g). In which direction does the equilibrium shift if there is an increase in temperature? 5.43. Why does changing the volume of the reaction vessel have no effect on this equilibrium? CO(g) + Fe3O4(s) ⇄ CO2(g) + 3 FeO(s). 26 5.44. A decrease in the pressure of each system below is caused by increasing the volume of the reaction container. In which direction does the equilibrium shift? a) CO2(g) + H2(g) ⇄ CO(g) + H2O(g). b) 2 NO2(g) ⇄ N2O4(g). c) 2 CO2(g) ⇄ 2 CO(g) + O2(g). d) CH4(g) + 2 H2S(g) ⇄ CS2(g) + 4 H2(g). 5.45. For each reversible reaction, determine whether the forward reaction is favored by high temperatures or low temperatures. a) N2O4(g) ⇄ 2 NO2(g); ΔH = +59 kJ. b) 2 ICl(g) ⇄ I2(g) + Cl2(g); ΔH = −35 kJ. c) 2 HF(g) ⇄ H2(g) + F2(g); ΔH = −536 kJ. 5.46. The following reaction is exothermic: 2 NO(g) + 2 H2(g) ⇄ N2(g) + 2 H2O(g). In which direction does the equilibrium shift as a result of each change? a) removing the hydrogen gas; b) increasing the pressure of gases in the reaction vessel by decreasing the volume; c) increasing the pressure of gases in the reaction vessel by pumping in argon gas while keeping the volume of the vessel constant; d) increasing the temperature; e) using a catalyst. 5.47. In which direction does the equilibrium shift as a result of the change to each homogeneous equilibrium system? a) Adding Cl2(g): 2 Cl2(g) + O2(g) ⇄ 2 Cl2O(g). b) Removing N2(g): 2 NO2(g) ⇄ N2(g) + 2 O2(g). c) Using a catalyst: CH4(g) + H2O(g) ⇄ CO2(g) + H2(g). d) Decreasing the total volume of the reaction container: 2 NO2(g) ⇄ N2O4(g). e) Increasing the temperature: CO(g) + 3 H2(g) ⇄ CH4(g) + H2O(g); ΔH = −230 kJ. 27 6. IONIC EQUILIBRIA 6.1. Name and write the formula of the conjugate base of each molecule or ion. a) HCl; b) HCO3−; c) H2SO4; d) N2H5+. 6.2. Name and write the formula of the conjugate acid of each molecule or ion. a) NO3–; b) OH–; c) H2O; d) HCO3–. 6.3. Identify the conjugate acid-base pairs in each reaction. a) HS–(aq) + H2O(l) ⇄ H2S(aq) + OH–; b) O2–(aq) + H2O(l) → 2 OH–. 6.4. Identify the conjugate acid-base pairs in each reaction. a) H2S(aq) + NH3(aq) ⇄ NH4+(aq) + HS–(aq); b) H2SO4(aq) + H2O(l) → H3O+(aq) + HSO4–(aq). 6.5. Calculate the concentration of hydronium ions in each solution. a) 4.5 mol/L HCl(aq);' b) 30.0 mL of 4.50 mol/L HBr(aq) diluted to 100.0 mL; c) 18.6 mL of 2.60 mol/L HClO4(aq) added to 24.8 mL of 1.92 mol/L NaOH(aq). 6. 6. Calculate the concentration of hydroxide ions in each solution. a) 3.1 mol/L KOH(aq); b) 21.0 mL of 3.1 mol/L KOH diluted to 75.0 mL; c) 23.2 mL of 1.58 mol/L HCl(aq) added to 18.9 mL of 3.50 mol/L NaOH(aq). 6.7. Determine whether reacting each pair of solutions results in an acidic solution or a basic solution. Then calculate the concentration of the ion that causes the solution to be acidic or basic. (Assume that the volumes in part (a) are additive. Assume that the volumes in part (b) stay the same.) a) 31.9 mL of 2.75 mol/L HCl(aq) added to 125 mL of 0.0500 mol/L Mg(OH)2(aq); b) 4.87 g of NaOH(s) added to 80.0 mL of 3.50 mol/L HBr(aq). 6.8. 2.75 g of MgO(s) is added to 70.0 mL of 2.40 mol/L HNO3(aq). Is the solution that results from the reaction acidic or basic? What is the concentration of the ion that is responsible for the character of the solution? 6.9. Phosphoric acid, H3PO4(aq) is triprotic. It has three hydrogen ions that may be dissociated. a) Write an equation to show the dissociation of each proton. b) Show that H2PO4– can act as either an acid or a base. c) Which is the stronger acid, H3PO4(aq) or H2PO4−(aq)? Explain your answer. 28 6.10. Para-aminobenzoic acid (PABA) is a weak monoprotic acid that is used in some sunscreen lotions. Its formula is C6H4NH2COOH. What is the formula of the conjugate base of PABA? 6.11. Boric acid, B(OH)3(aq), is used as a mild antiseptic in eye-wash solutions. The following reaction takes place in aqueous solution: B(OH)3(aq) + 2 H2O(l) ⇄ B(OH)4–(aq) + H3O+(aq). a) Identify the conjugate acid-base pairs. b) Is boric acid strong or weak? How do you know? 6.12. Classify each compound as a strong acid, weak acid, strong base, or weak base. a) butyric acid, CH3CH2CH2COOH (responsible for the odour of rancid butter); b) hydroiodic acid, HI(aq) (added to some cough syrups); c) potassium hydroxide, KOH (used in the manufacture of soft soaps); d) red iron oxide, Fe2O3 (used as a colouring pigment in paints). 6.13. Determine [H3O+] and [OH−] in each solution: a) 0.45 mol/L hydrochloric acid; b) 1.1 mol/L sodium hydroxide. 6.14. Determine [H3O+] and [OH−] in each solution. a) 0.95 mol/L hydrobromic acid; b) 0.012 mol/L calcium hydroxide. 6.15. [OH−] is 5.6⋅10–14 mol/L in a solution of hydrochloric acid. What is the molar concentration of the HCl(aq)? 6.16. [H3O+] is 1.7⋅10–14 mol/L in a solution of calcium hydroxide. What is the molar concentration of the Ca(OH)2(aq)? 6.17. [H3O+] of a sample of milk is found to be 3.98⋅10–7 mol/L. Is the milk acidic, neutral, or basic? Calculate the pH and [OH−] of the sample. 6.18. A sample of household ammonia has a pH of 11.9. What is the pOH and [OH−] of the sample? 6.19. Phenol, C6H5OH, is used as a disinfectant. An aqueous solution of phenol was found to have a pH of 4.72. Is phenol acidic, neutral, or basic? Calculate [H3O+], [OH−], and pOH of the solution. 29 6.20. At normal body temperature, 37 °C, the value of Kw for water equals 2.5⋅10–14. Calculate [H3O+] and [OH−] at this temperature. Is pure water at 37 °C acidic, neutral, or basic? 6.21. A sample of baking soda was dissolved in water and the pOH of the solution was found to be 5.81 at 25 °C. Is the solution acidic, basic, or neutral? Calculate the pH, [H3O+], and [OH−] of the solution. 6.22. A chemist dissolved some Aspirin™ in water. The chemist then measured the pH of the solution and found it to be 2.73 at 25 °C. What are [H3O+] and [OH−] of the solution? 6.23. Calculate the pH of a sample of vinegar that contains 0.83 mol/L acetic acid. What is the percent dissociation of the vinegar? 6.24. In low doses, barbiturates act as sedatives. The formula of barbituric acid is C4H4N2O3. A chemist prepares a 0.10 mol/L solution of barbituric acid and finds the pH of the solution to be 2.50. What is the acid dissociation constant for barbituric acid? What percent of its molecules dissociate? 6.25. A solution of hydrofluoric acid has a molar concentration of 0.0100 mol/L. What is the pH of this solution? 6.26. Hypochlorous acid, HOCl, is used as a bleach and a germ-killer. A chemist finds that 0.027% of hypochlorous acid molecules are dissociated in a 0.40 mol/L solution of the acid. What is the value of Ka for the acid? 6.27. The word “butter” comes from the Greek butyros. Butanoic acid (common name: butyric acid) gives rancid butter its distinctive odour. Calculate the pH of a 1.0⋅10–2 M solution of butanoic acid (Ka = 1.51⋅10–5). 6.28. Caproic acid, C5H11COOH, occurs naturally in coconut and palm oil. It is a weak monoprotic acid, with Ka = 1.3⋅10–5. A certain aqueous solution of caproic acid has a pH of 2.94. How much acid was dissolved to make 100 mL of this solution? 6.29. Carbonated beverages contain a solution of carbonic acid. Carbonic acid is also important for forming the ions that are present in blood. CO2(aq) + H2O(l) ⇄ H2CO3(aq); H2CO3(aq) + H2O(l) ⇄ HCO3–(aq) + H3O+(aq); HCO3–(aq) + H2O(l) ⇄ CO32–(aq) + H3O+(aq). Calculate the pH of a solution of 5.0⋅10–4 mol/L carbonic acid (use Appendix 4). What is [CO32–] in the solution? 30 6.30. Hydrosulfuric acid, H2S(aq), is a weak diprotic acid that is sometimes used in analytical work. Calculate the pH and [HS−(aq)] of a 7.5⋅10–3 mol/L solution. 6.31. A 0.10 mol/L solution of a weak monoprotic acid was found to be 5.0% dissociated. Calculate Ka. 6.32. Oxalic acid, HOOCCOOH, is a weak diprotic acid that occurs naturally in some foods, including rhubarb. Calculate the pH of a solution of oxalic acid that is prepared by dissolving 2.5 g in 1.0 L of water. What is the concentration of hydrogen oxalate, HOOCCOO−, in the solution? 6.33. A sample of blood was taken from a patient and sent to a laboratory for testing. Chemists found that the blood pH was 7.40. They also found that the hydrogen carbonate ion concentration was 2.6⋅10–2 mol/L. What was the concentration of carbonic acid in the blood? 6.34. An aqueous solution of household ammonia has a molar concentration of 0.105 M. Calculate the pH of the solution. 6.35. Hydrazine, N2H4, has been used as a rocket fuel. The concentration of an aqueous solution of hydrazine is 5.9⋅10–2 mol/L. Calculate the pH of the solution. 6.36. Morphine, C17H19NO3, is a naturally occurring base that is used to control pain. A 4.5⋅10–3 mol/L solution has a pH of 9.93. Calculate Kb for morphine. 6.37. Methylamine, CH3NH2, is used to manufacture several prescription drugs. Calculate [OH−] and pOH of a 0.25 mol/L aqueous solution of methylamine. 6.38. At room temperature, trimethylamine, (CH3)3N, is a gas with a strong ammonialike odour. Calculate [OH−] and the percent of trimethylamine molecules that react with water in a 0.22 mol/L aqueous solution. 6.39. An aqueous solution of ammonia has a pH of 10.85. What is the concentration of the solution? 6.40. Use the table of Ka values in Appendix 4 to list the conjugate bases of the following acids in order of increasing base strength: formic acid, HCOOH; hydrofluoric acid, HF(aq); benzoic acid, C6H5COOH; phenol, C6H5OH. 6.41. Compare Kb for ammonia, NH3, and for trimethylamine, (CH3)3N. Which is the stronger acid, NH4+ or (CH3)3NH+? 6.42. A buffer solution is made by mixing 250 mL of 0.200 mol/L aqueous ammonia and 400 mL of 0.150 mol/L ammonium chloride. Calculate the pH of solution. 31 6.43. A buffer solution is made by mixing 200 mL of 0.200 mol/L aqueous ammonia and 450 mL of 0.150 mol/L ammonium chloride. Calculate the pH of solution. 6.44. A buffer solution contains 0.200 mol/L nitrous acid, HNO2(aq), and 0.140 mol/L potassium nitrite, KNO2(aq). What is the pH of the buffer solution? 6.45. A buffer solution is prepared by dissolving 1.80 g of benzoic acid, C6H5COOH, and 1.95 g of sodium benzoate, NaC6H5COO, in 800 mL of water. Calculate the pH of the buffer solution. 6.46. Predict whether an aqueous solution of each salt is neutral, acidic, or basic. a) NaCN; c) Mg(NO3)2; b) LiF; d) NH4I. 6.47. Is the solution of each salt acidic, basic, or neutral? For solutions that are not neutral, write equations that support your predictions. a) NH4BrO4; c) NaOBr; b) NaBrO4; d) NH4Br. 6.48. Compare Ka for benzoic acid, C6H5COOH, and for phenol, C6H5OH. Which is the stronger base, C6H5COO−(aq) or C6H5O−(aq)? Explain your answer. 6.49. Sodium hydrogen sulfite, NaHSO3, is a preservative that is used to prevent the discolouration of dried fruit. In aqueous solution, the hydrogen sulfite ion can act as either an acid or a base. Predict whether NaHSO3 dissolves to form an acidic solution or a basic solution. (Refer to Appendix 4 for ionization data.) 6.50. Sodium carbonate and sodium hydrogen carbonate both dissolve to form basic solutions. Comparing solutions with the same concentration, which of these salts forms the more basic solution? Explain. 6.51. Potassium phosphate and potassium dihydrogen phosphate both dissolve to form basic solutions. Comparing solutions with the same concentration, which of these salts forms the more basic solution? Explain. 6.52. Determine whether or not each ion reacts with water. If the ion does react, write the chemical equation for the reaction. Then predict whether the ion forms an acidic solution or a basic solution. a) Br–; c) CH3NH3+; b) ClO4–; d) OCl–. 6.53. A chemist measures the pH of aqueous solutions of Ca(OH)2, CaF2, NH4NO3, KNO3, and HNO3. Each solution has the same concentration. Arrange the solutions from most basic to most acidic. 32 6.54. Write the balanced chemical equation that represents the dissociation of each compound in water. Then write the corresponding solubility product expression. a) copper(I) chloride; d) calcium phosphate. b) barium fluoride; e) silver carbonate; c) silver sulfate; f) ammonium magnesium phosphate. 6.55. The maximum solubility of silver cyanide, AgCN, is 1.5⋅10–8 mol/L at 25°C. Calculate Ksp for silver cyanide. 6.56. A saturated solution of copper(II) phosphate, Cu3(PO4)2 , has a concentration of 6.1⋅10–7 g Cu3(PO4)2 per 100 mL of solution at 25 °C. What is Ksp for Cu3(PO4)2? 6.57. A saturated solution of CaF2 contains 1.2⋅1020 molecules of calcium fluoride per liter of solution. Calculate Ksp for CaF2. 6.58. Ksp for silver chloride, AgCl, is 1.8⋅10–10 at 25 oC. a) Calculate the molar solubility of AgCl in a saturated solution at 25 °C. b) How many molecules of AgCl are dissolved in 1.0 L of saturated silver chloride solution? c) What is the percent (m/v) of AgCl in a saturated solution at 25 °C? 6.59. Calculate the molar solubility of Fe(OH)3 at 25 °C (ref. Appendix 6). 6.60. Calculate the solubility (in mol/L and in g/L) of Zn(IO3)2 in a saturated solution. 6.61. Determine the molar solubility of AgCl: a) in pure water; b) in 0.15 mol/L NaCl. 6.62. Determine the molar solubility of lead(II) iodide, PbI2, in 0.050 mol/L NaI. 6.63. Calculate the molar solubility of calcium sulfate, CaSO4: a) in pure water; b) in 0.25 mol/L Na2SO4. 6.64. Calculate the molar solubility of lead(II) chloride, PbCl2: a) in pure water; b) in 0.10 mol/L CaCl2. 6.65. The maximum solubility of barium fluoride, BaF2, at 25 °C, is 1.3 g/L. a) Calculate Ksp for BaF2 at 25 °C. b) Calculate the solubility of BaF2 in molecules of BaF2/L. 6.66. A solution of BaCl2 is added to a solution of Na2SO4. a) Calculate the solubility (in mol/L and in g/L) of BaSO4 in pure water. b) Calculate the solubility (in mol/L and in g/L) of BaSO4 in 0.085 M Na2SO4. 33 6.67. A solution contains 0.15 mol/L of NaCl and 0.0034 mol/L Pb(NO3)2. Does a precipitate form? Include a balanced chemical equation for the formation of the possible precipitate. 6.68. One drop (0.050 mL) of 1.5 mol/L potassium chromate, K2CrO4, is added to 250 mL of 0.10 mol/L AgNO3. Does a precipitate form? 6.69. A chemist adds 0.010 g of CaCl2 to 500 mL of 0.0015 mol/L sodium carbonate, Na2CO3. Does a precipitate of calcium carbonate form? 6.70. 0.10 mg of magnesium chloride, MgCl2, is added to 250 mL of 0.0010 mol/L NaOH. Does a precipitate of magnesium hydroxide form? 6.71. 100 mL of 1.0⋅10–3 mol/L Pb(NO3)2 is added to 40 mL of 0.040 mol/L NaCl. Does a precipitate form? 6.72. 25 mL of 0.10 mol/L NaOH is added to 500 mL of 0.00010 mol/L cobalt(II) chloride, CoCl2. Does a precipitate form? 6.73. 250 mL of 0.0011 mol/L Al2(SO4)3 is added to 50 mL of 0.022 mol/L BaCl2. Does a precipitate form? Include a balanced chemical equation for the formation of the possible precipitate. 6.74. A chemist adds 1.0 mg of NaI to 50 mL of a 0.010 mol/L solution of Pb(NO3)2. Does a precipitate form? 6.75. How many milligrams of Na2SO4 will just begin to precipitate calcium sulfate, CaSO4, from 500 mL of a 0.10 mol/L solution of CaCl2? 6.76. How many drops of 0.0010 mol/L silver nitrate solution will just begin to precipitate AgCl from 5000 mL of a 0.90% (m/v) solution of NaCl? (Assume that one drop equals 0.050 mL.) 6.77. Compare the values of solubility products constants for two salts with the same anions: Ksp for CaSO4 is 2.4⋅10–5, and Ksp for SrSO4 is 3.2⋅10–7. Suppose that you have a 1.0 L solution that is 0.20 mol/L in Ca2+ ions, and 0.20 mol/L in Sr2+ ions. You slowly begin to add solid Na2SO4. a) Explain why SrSO4 precipitates first. b) How many milligrams of Al2(SO4)3 will just begin to precipitate SrSO4 from the solution? 34 7. ELECTROCHEMISTRY 7.1. Write a net ionic equation for a reaction in which: a) Fe2+ acts as an oxidizing agent; b) Al acts as a reducing agent; c) Au3+ acts as an oxidizing agent; d) Cu acts as a reducing agent; e) Sn2+ acts as an oxidizing agent and as a reducing agent. 7.2. Write the oxidation half-reaction, the reduction half-reaction, and the overall cell reaction for each of the following galvanic cells. Identify the anode and the cathode in each case. (In part (b), platinum is present as an inert electrode.) a) Sn(s) | Sn2+(aq) || Tl+(aq) | Tl(s); b) Cd(s) | Cd2+(aq) || H+(aq) | H2(g) | Pt(s). 7.3. A galvanic cell involves the overall reaction of iodide ions with acidified permanganate ions to form manganese(II) ions and iodine. The salt bridge contains potassium nitrate. a) Write the half-reactions, and the overall cell reaction. b) Identify the oxidizing agent and the reducing agent. c) The inert anode and cathode are both made of graphite. Solid iodine forms on one of them. Which one? 7.4. Look up the standard reduction potentials of the following half-reactions (ref. Appendix 7). Predict whether acidified nitrate ions will oxidize manganese(II) ions to manganese(IV) oxide under standard conditions. MnO2(s) + 4 H+(aq) + 2e− → Mn2+(aq) + 2 H2O(l); NO3–(aq) + 4 H+(aq) + 3e− → NO(g) + 2 H2O(l). 7.5. Predict whether each reaction is spontaneous or non-spontaneous under standard conditions. a) 2 Cr(s) + 3 Cl2(g) → 2 Cr3+(aq) + 6 Cl–(aq). b) Zn2+(aq) + Fe(s) → Zn(s) + Fe2+(aq). c) 5 Ag(s) + MnO4–(aq) + 8 H+(aq) → 5 Ag+(aq) + Mn2+(aq) + 4 H2O(l). 7.6. Predict whether each reaction is spontaneous or non-spontaneous under standard conditions in an acidic solution. a) H2O2(aq) → H2(g) + O2(g). b) 3 H2(g) + Cr2O72–(aq) + 8 H+(aq) → 2 Cr3+(aq) + 7 H2O(l). 7.7. Determine the standard cell potential for each of the following redox reactions. a) CuSO4(aq) + Ni(s) → NiSO4(aq) + Cu(s). b) Fe(s) + 4 HNO3(aq) → Fe(NO3)3(aq) + NO(g) + 2 H2O(l). 35 7.8. Determine if each of the following balanced redox reactions is spontaneous as written, calculate the cell potential. a) Sn(s) + 2 Cu+(aq) → Sn2+(aq) + 2 Cu(s). b) Mg(s) + Pb2+(aq) → Pb(s) + Mg2+(aq). c) 2Mn2+(aq) + 8H2O(l) + 10Hg2+(aq) → 2MnO4–(aq) + 16H+(aq) + 5Hg22+(aq). 7.9. Write the two half-reactions for the following redox reactions. Subtract the two reduction potentials to find the standard cell potential for a galvanic cell in which this reaction occurs. a) Cl2(g) + 2 Br–(aq) → 2 Cl–(aq) + Br2(l). b) 2 Cu+(aq) + 2 H+(aq) + O2(g) → 2 Cu2+(aq) + H2O2(aq). 7.10. Determine the standard cell potential for each of the following redox reactions. a) 3 Mg(s) + 2 Al3+(aq) → 3 Mg2+(aq) + 2 Al(s). b) 2 K(s) + F2(g) → 2 K+(aq) + 2 F–(aq). c) Cr2O72–(aq) + 14 H+(aq) + 6 Ag(s) → 2 Cr3+(aq) + 6 Ag+(aq) + 7 H2O(l). 7.11. The cell potential for the following galvanic cell is given: Eocell = 1.750 V. Zn | Zn2+ (1 mol/L) || Pd2+ (1 mol/L) | Pd. Determine the standard reduction potential for the following half-reaction: Pd2+(aq) + 2e− → Pd(s). 7.12. These equations represent overall cell reactions. Determine the standard potential for each cell and identify the reactions as spontaneous or nonspontaneous as written. a) 2 Al3+(aq) + 3 Cu(s) → 2 Cu2+(aq) + 2 Al(s). b) Hg2+(aq) + 2 Cu+(aq) → 3 Cu2+(aq) + Hg(l). c) Cd(s) + 2 NO3–(aq) + 4 H+(aq) → 2 Cd2+(aq) + 2 NO2(g) + 2 H2O(l). 7.13. Write the standard cell notation for the following cells in which the half-cell listed is connected to the standard hydrogen electrode. An example is Na | Na+ || H+ | H2. Determine the voltage of the cells formed. a) Zn | Zn2+; d) Cu | Cu2+; b) Hg | Hg2+; e) Al | Al3+. c) Ga | Ga3+; f) NO2 | NO3–. 7.14. Calculate the cell potential of voltaic cells that contain the following pairs of halfcells. a) Chromium in a solution of Cr3+ ions; copper in a solution of Cu2+ ions. b) Zinc in a solution of Zn2+ ions; platinum in a solution of Pt2+ ions. c) A half-cell containing both HgCl2 and Hg2Cl2; lead in a solution of Pb2+ ions. d) Tin in a solution of Sn2+ ions; iodine in a solution of I– ions. 7.15. Predict the products of the electrolysis of a 1 mol/L solution of sodium chloride. 36 7.16. The electrolysis of molten calcium chloride produces calcium and chlorine. Write a) the half-reaction that occurs at the anode; b) the half-reaction that occurs at the cathode; c) the chemical equation for the overall cell reaction. 7.17. For the electrolysis of molten lithium bromide, write a) the half-reaction that occurs at the negative electrode; b) the half-reaction that occurs at the positive electrode; c) the net ionic equation for the overall cell reaction. 7.18. Explain why calcium can be produced by the electrolysis of molten calcium chloride, but not by the electrolysis of aqueous calcium chloride. 7.19. One half-cell of a galvanic cell has a nickel electrode in a 1 mol/L nickel(II) chloride solution. The other half-cell has a cadmium electrode in a 1 mol/L cadmium chloride solution. a) Find the cell potential. b) Identify the anode and the cathode. c) Write the oxidation half-reaction, the reduction half-reaction, and the overall cell reaction. 7.20. An external voltage is applied to change the galvanic cell in question 7.21 into an electrolytic cell. Repeat parts (a) to (c) for the electrolytic cell. 7.21. Calculate the mass of zinc plated onto the cathode of an electrolytic cell by a current of 750 mA in 3.25 h. 7.22. How many minutes does it take to plate 0.925 g of silver onto the cathode of an electrolytic cell using a current of 1.55 A? 7.23. The nickel anode in an electrolytic cell decreases in mass by 1.20 g in 35.5 min. The oxidation half-reaction converts nickel atoms to nickel(II) ions. What is the constant current? 7.24. The following two half-reactions take place in an electrolytic cell with an iron anode and a chromium cathode. Oxidation: Fe(s) → Fe2+(aq) + 2e−. Reduction: Cr3+(aq) + 3e− → Cr(s). During the process, the mass of the iron anode decreases by 1.75 g. a) Find the change in mass of the chromium cathode. b) Explain why you do not need to know the electric current or the time to complete part (a). 37 PERIODIC TABLE I II III IV V H 1 2 3 4 5 6 7 Hydrogen 1 1.0079 Li Lithium 3 6.94 Na Sodium 11 22.99 K Potassium 19 39.098 Cu Copper 29 63.54 Rb Rubidium 37 85.47 Ag Silver 47 107.87 Cs Cesium 55 132.905 Au Gold 79 196.97 Fr Francium 87 [223] Lanthanides Gd 64 Gadolinium 157.2 Actinides Cm 96 Curium [247] B Be Beryllium 4 9.012 Mg Magnesium 12 24.305 Ca Calcium 20 40.08 Zn Zinc 30 65.38 Sr Strontium 38 87.62 Cd Cadmium 48 112.41 Ba Barium 56 137.33 Hg Mercury 80 200.5 Ra Radium 88 226.03 La 57 Tb 65 Ac 89 Bk 97 C N Nitrogen Carbon 14.0067 6 12.011 7 P Si Phosphorus Silicon 30.974 14 28.085 15 Ti V Titanium Vanadium 22 47.90 23 50.94 As Ge Arsenic Germanium 74.92 32 72.59 33 Zr Nb Zirconium Niobium 40 91.22 41 92.906 Sn Sb Tin Antimony 50 118.69 51 121.75 Hf Ta Hafnium Tantalum La–Lu 72 178.49 73 180.95 Bi Pb Tl Bismuth Lead Thallium 208.98 207.2 83 81 204.3 82 Rf Db Rutherfordium Dubnium Ac–(Lr) 104 [261] 105 [262] Boron 5 10.81 Al Aluminum 13 26.98 Sc Scandium 21 44.956 Ga Gallium 31 69.72 Y Yttrium 39 88.91 In Indium 49 114.82 Lanthanum 138.905 Terbium 158.93 Actinium [227] Berkelium [247] Ce 58 Dy 66 Th 90 Cf 98 38 Cerium 140.12 Dysprosium 162.50 Thorium 232.038 Californium [251] Pr Praseodymium 59 140.9077 Ho Holmium 67 164.93 Pa Protactinium 91 231.036 Es Einsteinium 99 [254] OF CHEMICAL ELEMENTS VI Appendix 1 VII VIII (H) O F Fluorine Oxygen 18.998 8 15.999 9 Cl S Chlorine Sulfur 35.453 16 32.06 17 Cr Mn Chromium Manganese 24 51.996 25 54.938 Br Se Bromine Selenium 79.904 34 78.96 35 Mo Tc Molybdenum Technetium 42 95.94 43 98.906 Te I Tellurium Iodine 52 127.6 53 126.90 W Re Tungsten Rhenium 74 183.8 75 186.21 At Po Astatine Polonium [210] 84 [209] 85 Sg Bh Seaborgium Bohrium 106 [266] 107 [264] Nd 60 Er 68 U 92 Fm 100 He Fe 26 Iron 55.847 Ru Ruthenium 44 101.07 Os Osmium 76 190.2 Hs Hassium 108 [277] Neodymium Pm Promethium 144.24 61 [145] Erbium Tm Thulium 167.26 69 168.93 Uranium Np Neptunium 238.029 93 237.048 Fermium Md Mendelevium [257] 101 [258] 39 Sm 62 Yb 70 Pu 94 No 102 Helium 2 4.0026 Ne Neon 10 20.179 Ar Argon 18 39.948 Co Ni Cobalt Nickel 27 58.933 28 58.70 Kr Krypton 36 83.80 Rh Pd Rhodium Palladium 45 102.9 46 106.4 Xe Xenon 54 131.3 Ir Pt Iridium Platinum 77 199.2 78 195.1 Rn Radon 86 [222] Mt Meitnerium 109 [268] Samarium 150.4 Ytterbium 173.04 Plutonium [244] Nobelium [255] Eu 63 Lu 71 Am 95 Lr 103 Europium 151.96 Lutetium 174.967 Americium [243] Lawrencium [256] Appendix 2 Elements and Electronegative Components Symbol Ac Al Ag Am Ar As At Au B Ba Be Bh Bi Bk Br C Ca Cd Ce Cf Cl Cm Co Cr Cs Cu Db Dy Er Es Eu F Fe Fm Fr Name Transcription actinium aluminum silver americium argon arsenic astatine gold boron barium beryllium bohrium bismuth berkelium bromine carbon calcium cadmium cerium californium chlorine curium cobalt chromium cesium copper dubnium dysprosium erbium einsteinium europium fluorine iron fermium francium αk_'tin_i: _əm ə_'lu:m_ə_nəm 'sil_vər αm_ə_'ris_i: _əm 'a:r_gən 'a:rs_ən_ik 'αs_tə_ti:n gould 'bo:_rən 'bαr_i:_əm bə_'ril_i: _əm 'bo:r_i: _əm 'biz_məθ 'bə:r_kli: _əm 'brou_mi:n 'ka:r_bən 'kαl_si:_əm 'kαd_mi:_əm 'sir_i:_əm kalə_'fo:r_ni:_əm 'klo:r_i:n 'kju:r_i:_əm 'kou_bo:lt 'krou_mi:_əm 'si:_zi:_əm 'kop_ər 'du:b_ni:_əm dis_'prou_zi:_əm 'ə:r_bi:_əm aın_'staın_i:_əm yu:_'rou_pi:_əm 'flu:r_i:n 'aı_ərn 'fer_mi:_əm 'frαn_si:_əm 40 Electronegative component Transcription arsenide 'a:rs_ən_aıd boride 'bo:r_aıd beryllide bə_'ril_aid bromide carbide 'brou_maıd 'ka:r_baıd chloride 'klo:r_aıd fluoride 'flu:r_aıd Appendix 2 (continued) Symbol Ga Gd Ge H He Hf Hg Ho Hs I In Ir K Kr La Li Lr Lu Md Mg Mn Mo Mt N Na Nb Nd Ne Ni No Np O Os P Pa Pb Pd Name gallium gadolinium germanium hydrogen helium hafnium mercury holmium hassium iodine indium iridium potassium krypton lanthanum lithium lawrencium lutetium mendelevium magnesium manganese molybdenum meitnerium nitrogen sodium niobium neodymium neon nickel nobelium neptunium oxygen osmium phosphorus protactinium lead palladium Transcription 'gαl_i:_əm gαd_əl_'in_i:_əm jə:r_'meın_i:_əm 'haı_drə_jən 'hi:_li:_əm 'hαf_ni:_əm 'mə:r_kyə_ri: 'houl_mi:_əm 'ha:_si:_əm 'aı_ə_daın 'in_di:_əm i_'rid_i:_əm pə_'tαs_i:_əm 'krip_tən 'lαn_θə_nəm 'liθ_i:_əm 'lou_'ren_si:_əm lu:_ti: _shəm 'men_də_li:_vi:_əm mαg_'ni:_zi:_əm 'mαŋ_gə_ni:s mə_'lib_de_nəm maıt_'nir_i:_əm 'naı_trə_jən 'soud_i:_əm naı_'ou_bi:_əm ni:_ou_'dim_i:_əm 'ni:_on 'nik_əl nou_'bel_i:_əm nep_'tu:_ni:_əm 'ok_sə_jən 'oz_mi:_əm 'fos_fə_rəs prout_αk_'tin_i:_əm led pə_'leıd_i:_əm 41 Electronegative component Transcription germanide hydride 'jə:r_mə_naıd 'haı_draıd iodide 'aı_ə_daıd nitride 'naı_traıd oxide 'ok_saıd phosphide 'fo_sfaıd plumbide 'pləm_baıd Appendix 2 (end) Symbol Name Transcription Po Pm Pr Pt Pu Ra Rb Re Rf Rh Rn Ru S Sb Sc Se Sg Si Sm Sn Sr Ta Tb Tc Te Th Ti Tl Tm U V W Xe Y Yb Zn Zr polonium promethium praseodymium platinum plutonium radium rubidium rhenium rutherfordium rhodium radon ruthenium sulfur antimony scandium selenium seaborgium silicon samarium tin strontium tantalum terbium technetium tellurium thorium titanium thallium thulium uranium vanadium tungsten xenon yttrium ytterbium zinc zirconium pə_'lou_ni:_əm prə_'mi:_thi:_əm preı_zi:_ou_'dim_i:_əm 'plαt_ən_əm plu:_'tou_ni:_əm 'reı_d_i:_əm ru:_ 'bid_i:_əm 'ri:_ni:_əm rəð_ər_'fo:r_di:_əm 'roud_i:_əm 'reı_dən ru:_ 'thi:_ni:_əm 'səl_fər 'αn_tə_'mou_ni: 'skαn_di:_əm sə_'li:_ni:_əm si:_ 'bo:rg_i:_əm 'sil_ə_kən sə_'mαr_i:_əm tin 'stron_ti:_əm 'tαnt_əl_əm 'tə:r_bi:_əm tek_'ni:_shi:_əm tə_'lu_ri:_əm 'tho:r_i:_əm taı_'teı_ni:_əm 'θαl_i:_əm 'θu:_li:_əm yə_'reı_ni:_əm və_'neıd_i:_əm 'təŋ_stən 'zi:_non 'i_tri:_əm i_'tə:r_bi:_əm ziŋk zə:r_'kou_ni:_əm 42 Electronegative component Transcription sulfide 'səl_faıd selenide 'sel_ə_naıd silicide 'sil_ə_saıd telluride tə_'lu_raıd Appendix 3 Acids and Anions Formula Acid HCl HClO HClO2 HClO3 HClO4 hydrochloric hypochlorous chlorous chloric perchloric Transcription haı_drə_'klo:r_ik haı_pə_'klo:r_əs 'klo:r_əs 'klo:r_ik pə:r_'klo:r_ik Anion chloride hypochlorite chlorite chlorate perchlorate Transcription 'klo:r_aıd haı_pə_'klo:r_aıt 'klo:r_aıt 'klo:r_eıt pə:r_'klo:r_eıt (similar with other halogens) HCN HMnO4 HNO2 HNO3 HOCN HSCN CH3COOH H2C2O4 H2CO3 H2Cr2O7 H2CrO4 H2S H2SiO3 H2S2O3 H2SO3 H2SO4 H3AsO3 H3AsO4 H3BO3 H3PO3 H3PO4 hydrocyanic permanganic nitrous nitric cyanic thiocyanic acetic oxalic carbonic dichromic chromic hydrosulfuric silicic thiosulfuric sulfurous sulfuric arsenious arsenic boric phosphorous phosphoric haı_drou_saı_'an_ik pə:r_mαn_'gαn_ik 'naı_trəs 'naı_trik saı_'αn_ik θaı_ou_saı_'αn_ik ə_'si:t_ik ok_'sαl_ik ka:r_'bon_ik daı_'krou_mik 'krou_mik haı_drə_səl_'fyur_ik sə_'lis_ik θaı_ə_səl_'fyur_ik 'səl_fə_rəs 'səl'fyur_ik a:r_'si:n_i:_əs a:r_'sen_ik 'bo:r_ik 'fos_fə_rəs fos_'fo:r_ik 43 cyanide permanganate nitrite nitrate cyanate thiocyanate acetate oxalate carbonate dichromate chromate sulfide silicate thiosulfate sulfite sulfate arsenite arsenate borate phosphite phosphate 'saı_ə_naıd pə:r_'mαŋ_gə_neıt 'naı_traıt 'naı_treıt 'saı_ə_neıt θaı_ou_'saı_ə_neıt 'αs_ə_teıt 'ok_sə_leıt 'ka:r_bə_nət daı_'krou_meıt 'krou_meıt 'səl_faıd 'sil_ə_kət θaı_ə_'səl_feıt 'səl_faıt 'səl_feıt 'a:r_sə_naıt 'a:rs_ən_eıt 'bo: _reıt 'fos_faıt 'fos_'feıt Appendix 4 Ionization Constants for Acids Acid Formula Conjugate base Ka Monoprotic Acids Acetic acid Benzoic acid Chlorous acid Cyanic acid Formic acid Hydrobromic acid Hydrochloric acid Hydrocyanic acid Hydrofluoric acid Hydrogen oxide Hypobromous acid Phenol CH3COO– C6H5COO– ClO2– OCN– COOH– Br– Cl– CN– F– OH– BrO– C6H5O– CH3COOH C6H5COOH HClO2 HOCN HCOOH HBr HCl HCN HF H2O HOBr C6H5OH 1.8 ⋅ 10–5 6.3 ⋅ 10–5 1.1 ⋅ 10–2 3.5 ⋅ 10–4 1.8 ⋅ 10–4 1.0 ⋅ 102 1.3 ⋅ 106 6.2 ⋅ 10–10 6.3 ⋅ 10–4 1.0 ⋅ 10–14 2.8 ⋅ 10–9 1.3 ⋅ 10–10 Polyprotic Acids Boric acid Carbonic acid Citric acid Oxalic acid Phosphoric acid Hydrosulfuric acid Sulfuric acid Sulfurous acid Tartaric acid H2BO3– HBO32– HCO3– CO32– H2C6H5O7– HC6H5O72– C6H5O73– HC2O4– C2O42– H2PO4– HPO42– PO43– HS– S2– HSO4– SO42– HSO3– SO32– HC4H4O6– C4H4O62– H3BO3 H2BO3– H2CO3 HCO3– H3C6H5O7 H2C6H5O7– HC6H5O72– H2C2O4 HC2O4– H3PO4 H2PO4– HPO42– H2S HS– H2SO4 HSO4– H2SO3 HSO3– H2C4H4O6 HC4H4O6– 44 5.4 ⋅ 10–10 < 1.0 ⋅ 10–14 4.5 ⋅ 10–7 4.7 ⋅ 10–11 7.4 ⋅ 10–4 1.7 ⋅ 10–5 4.0 ⋅ 10–7 5.6 ⋅ 10–2 1.5 ⋅ 10–4 6.9 ⋅ 10–3 6.2 ⋅ 10–8 4.8 ⋅ 10–13 8.9 ⋅ 10–8 1.0 ⋅ 10–10 1.0 ⋅ 103 1.0 ⋅ 10–2 1.4 ⋅ 10–2 6.3 ⋅ 10–8 9.3 ⋅ 10–4 4.3 ⋅ 10–5 Appendix 5 Ionization Constants for Nitrogen Bases Base Formula Conjugate acid Kb 1.2-Diaminoethane Dimethylamine Ethanamine Methanamine Trimethylamine Ammonia Hydrazine Hydroxylamine Pyridine Aniline Urea NH2CH2CH2NH2 (CH3)2NH C2H5NH2 CH3NH2 (CH3)3N NH3 N2H4 NH2OH C5H5N C6H5NH2 NH2CONH2 NH2CH2CH2NH3+ (CH3)2NH2+ C2H5NH3+ CH3NH3+ (CH3)3NH+ NH4+ N2H5+ NH3OH+ C5H5NH+ C6H5NH3+ NH2CONH3+ 8.4 ⋅ 10–5 5.4 ⋅ 10–4 4.5 ⋅ 10–4 4.6 ⋅ 10–4 6.4 ⋅ 10–5 1.8 ⋅ 10–5 1.3 ⋅ 10–6 8.8 ⋅ 10–9 1.7 ⋅ 10–9 7.5 ⋅ 10–10 1.3 ⋅ 10–14 o Appendix 6 Solubility Product Constants in Water at 25 C Compound Ksp Compound Ksp Compound Ksp Ag2CO3 Ag2CrO4 AgBr AgBrO3 AgCl AgCN AgI AlPO4 Ba(IO3)2 BaCO3 BaCrO4 BaF2 BaSO4 Be(OH)2 Ca(IO3)2 Ca(OH)2 Ca3(PO4)2 8.46 ⋅ 10–12 1.12 ⋅ 10–12 5.35 ⋅ 10–13 5.38 ⋅ 10–5 1.77 ⋅ 10–10 5.97 ⋅ 10–17 8.52 ⋅ 10–17 9.84 ⋅ 10–21 4.01 ⋅ 10–9 2.58 ⋅ 10–9 1.12 ⋅ 10–10 1.84 ⋅ 10–7 1.08 ⋅ 10–10 6.92 ⋅ 10–22 6.47 ⋅ 10–6 5.02 ⋅ 10–6 2.07 ⋅ 10–33 CaCO3 CaF2 CaSO4 Cd(OH)2 CdF2 Co(OH)2 Co3(PO4)2 Cu3(PO4)2 CuBr CuCl CuCN CuI CuSCN Eu(OH)3 Fe(OH)2 Fe(OH)3 FeF2 3.36 ⋅ 10–9 3.45 ⋅ 10–11 4.93 ⋅ 10–5 7.20 ⋅ 10–15 6.44 ⋅ 10–3 5.92 ⋅ 10–15 2.05 ⋅ 10–35 1.40 ⋅ 10–37 6.27 ⋅ 10–9 1.72 ⋅ 10–9 3.47 ⋅ 10–20 1.27 ⋅ 10–12 1.08 ⋅ 10–13 9.38 ⋅ 10–27 4.87 ⋅ 10–17 2.79 ⋅ 10–39 2.36 ⋅ 10–6 Hg2SO4 Mg(OH)2 MgCO3 Ni(OH)2 Ni3(PO4)2 Pb(OH)2 Pb(SCN)2 PbBr2 PbCl2 PbCO3 PbCrO4 PbI2 Sn(OH)2 Sr(IO3)2 TlBrO3 Y(IO3)3 Zn(OH)2 6.50 ⋅ 10–7 5.61 ⋅ 10–12 6.82 ⋅ 10–6 5.48 ⋅ 10–16 4.74 ⋅ 10–32 1.43 ⋅ 10–20 4.39 ⋅ 10–23 6.60 ⋅ 10–6 1.70 ⋅ 10–5 7.40 ⋅ 10–14 2.30 ⋅ 10–13 9.80 ⋅ 10–9 5.45 ⋅ 10–27 1.14 ⋅ 10–7 1.10 ⋅ 10–4 1.12 ⋅ 10–10 3.00 ⋅ 10–17 45 Appendix 7 Standard Reduction Potentials Reduction half-reaction Eo, V F2(g) + 2e− ⇄ 2F−(aq) 2.866 Co3+(aq) + e− ⇄ Co2+(aq) 1.920 H2O2(aq) + 2H+(aq) + 2e− ⇄ 2H2O(l) 1.776 Ce4+(aq) + e− ⇄ Ce3+(aq) 1.720 PbO2(s) + 4H+(aq) + SO42−(aq) + 2e− ⇄ PbSO4(s) + H2O(l) 1.691 MnO4−(aq) + 8H+(aq) + 5e− ⇄ Mn2+(aq) + 4H2O(l) 1.507 Au3+(aq) + 3e− ⇄ Au(s) 1.498 PbO2(s) + 4H+(aq) + 2e− ⇄ Pb2+(aq) + 2H2O(l) 1.455 Cl2(g) + 2e− ⇄ 2Cl−(aq) 1.358 Cr2O72−(aq) + 14H+(aq) + 6e− ⇄ 2Cr3+(aq) + 7H2O(l) 1.232 O2(g) + 4H+(aq) + 4e− ⇄ 2H2O(l) 1.229 MnO2(s) + 4H+(aq) + 2e− ⇄ Mn2+(aq) + 2H2O(l) 1.224 IO3−(aq) + 6H+(aq) + 6e− ⇄ I−(aq) + 3H2O(l) 1.085 Br2(l) + 2e− ⇄ 2Br−(aq) 1.066 AuCl4−(aq) + 3e− ⇄ Au(s) + 4Cl−(aq) 1.002 NO3−(aq) + 4H+(aq) + 3e− ⇄ NO(g) + 2H2O(l) 0.957 2Hg2+(aq) + 2e− ⇄ Hg22+(aq) 0.920 Ag+(aq) + e− ⇄ Ag(s) 0.800 Hg22+(aq) + 2e− ⇄ 2Hg(l) 0.797 Fe3+(aq) + e− ⇄ Fe2+(aq) 0.771 O2(g) + 2H+(aq) + 2e− ⇄ H2O2(aq) 0.695 I2(s) + 2e− ⇄ 2I−(aq) 0.536 Cu+(aq) + e− ⇄ Cu(s) 0.521 O2(g) + 2H2O(l) + 4e− ⇄ 4OH−(aq) 0.401 Cu2+(aq) + 2e− ⇄ Cu(s) 0.342 AgCl(s) + e− ⇄ Ag(s) + Cl−(aq) 0.222 Cu2+(aq) + e− ⇄ Cu+(aq) 0.153 2H+(aq) + 2e− ⇄ H2(g) 0.000 46 Appendix 7 (end) Reduction half-reaction Eo, V 2H+(aq) + 2e− ⇄ H2(g) 0.000 Fe3+(aq) + 3e− ⇄ Fe(s) −0.037 Pb2+(aq) + 2e− ⇄ Pb(s) −0.126 Sn2+(aq) + 2e− ⇄ Sn(s) −0.138 Ni2+(aq) + 2e− ⇄ Ni(s) −0.257 Cd2+(aq) + 2e− ⇄ Cd(s) −0.403 Cr3+(aq) + e− ⇄ Cr2+(aq) −0.407 Fe2+(aq) + 2e− ⇄ Fe(s) −0.447 Cr3+(aq) + 3e− ⇄ Cr(s) −0.744 Zn2+(aq) + 2e− ⇄ Zn(s) −0.762 2H2O(l) + 2e− ⇄ H2(g) + 2OH−(aq) −0.828 Al3+(aq) + 3e− ⇄ Al(s) −1.662 Mg2+(aq) + 2e− ⇄ Mg(s) −2.372 La3+(aq) + 3e− ⇄ La(s) −2.379 Na+(aq) + e− ⇄ Na(s) −2.711 Ca2+(aq) + 2e− ⇄ Ca(s) −2.868 Ba2+(aq) + 2e− ⇄ Ba(s) −2.912 K+(aq) + e− ⇄ K(s) −2.931 Li+(aq) + e− ⇄ Li(s) −3.040 47 REFERENCES 1. 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