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SUMMER FUN AP Problem Set: Summer Assignment (2009) 1 The first part of your assignment is to read the review material in this packet. You will need to know the names and chemical element symbols on page 3, the metric prefixes on page 3, one of the conversion factors from each column on page 4, the tables on pages 7-8, prefixes for naming covalent compounds on page 9, and the solubility rules on page 10. You also should review the first four chapters in your text, Chemistry, 7th edition, Zumdahl. The second part of your assignment is to select a book from the summer reading list and take notes on it so that you can discuss it at the first class in September. The final part of your assignment is to complete the “Reading, ‘Riting, and ‘Rithmetic” assignments at the end of this packet. If you have any questions, please email me at [email protected] 2 1 Matter – Its Properties and Measurement Section Objectives 1. Write the names and chemical symbols of the more common elements. This is a memorization task: to know the symbol that goes with the name and vice versa. “Common elements” means different things to different people. A reasonable goal would be the main group elements along with those in the first transition series (Sc through Zn) plus Ag, Au, Cd, and Hg. These are elements with atomic numbers 1-38, 47-56, and 79-88. The atomic number is the whole number in each box in the periodic table, often given the symbol Z. The best way to learn names is by groups (vertical columns) in the periodic table. By learning them together, you are also learning chemistry, not just memorizing symbols. 2. Know common units in the English system, and the relationships between them. Common English units, their abbreviations, and the relationships between them follow. They should be memorized if you do not know them already. Most scientists, and practically all engineers, in the U.S. do. Volume measure: Gallon (gal) = 4 quarts (qt) Pint (pt) = 16 fluid ounces (fl oz) = 2 cups (c) Quart (qt) = 2 pt = 32 fl oz Tablespoon (T) = 2 teaspoons (tsp) = 1/2 fl oz Linear measure: Yard (yd) = 3 feet (ft) Mile (mi) = 1760 yd Foot (ft) = 12 inches (in) Mass measure: Pound (lb) = 16 ounces (oz) Ton (t) = short ton = 2000 lb 3. For the metric system, state the basic units of mass, length, and volume, and the common prefixes. At present there are three units to be learned: gram (g) for mass, meter (m) for length, and liter (L) for volume. The following prefixes should be memorized. 6 or 1,000,000 One million of Mega (M) 10 Kilo Deci Centi Milli Micro Nano (k) (d) (c) (m) (µ) (n) 3 or 1000 One thousand of -1 or 1/10 One tenth of -2 or 1/100 One hundredth of -3 or 1/1000 One thousandth of -6 or 1/1,000,000 One millionth of -9 or 1/1,000,000,000 One billionth of 10 10 10 10 10 10 3 4. State the relationships between English and metric units. There are many relationships, but they can be reduced to only three if you know the interrelationships within each system. These three can be one from each column that follows. Mass 453.6 g = 1 lb 1 kg = 2.205 lb 28.35 g = 1 oz Length 2.5400 cm = 1 in 1 m 39.37 in 30.48 cm = 1 ft Volume 0.9464 L = 1 qt 1 L = 1.057 qt 29.57 mL = 1 fl oz 5. Determine the number of significant digits in a numerical calculation. 6. Express the result of a calculation with the appropriate number of significant digits. Here are the rules that govern significant digits. a) Significant digits include all non-zero digits, zeros located between significant digits (“captive zeros”), and zeros located after non-zero digits to the right of the decimal point (“trailing zeros”). b) Zeros that precede non-zero digits and zeros that end a number with no decimal point are not significant (“placeholders”). c) The result of a multiplication or division should have as many significant digits as the factor with the fewest number of significant digits. d) The result of an addition or a subtraction is rounded to the same number of decimal places as the term with the fewest number of decimal places. EXAMPLE 1-1 Express the result of the following calculation with the appropriate number of significant digits. -3 [(725.6 - 19.1)/760.00]75 x 10 -3 = ? The result is 2.9 x 10 (0.082057)(293.2) 7. Express numbers in scientific notation. 8. Write a conversion factor from a relationship between two quantities, and use conversion factors to solve problems. Probably the most powerful problem-solving method you can learn is the conversion factor method. The method is valuable no only in chemistry but in any numerical problem-solving course. EXAMPLE 1-2 How many teaspoons are in 5.00 gallons? 4 qt 32 fl oz 3 tsp 5.00 gal x x x = 3.84 x 103 tsp 1 gal 1 qt 0.5 fl oz EXAMPLE 1-3 How many gallons are in 1.00 cubic foot? 3 3 1L 1 qt 1 gal 12 in 2.5400 cm 3 1.00 ft x x x = 7.48 gal x x 1 in 1 ft 1000 cm 3 0.946 L 4 qt 9. Express and use density in the form of conversion factors. Density is both a physical property of a substance and the means of interconverting mass and volume m of that substance. The defining equation ( d = ) has three variables: density, mass, and volume. v 4 EXAMPLE 1-4 An empty container weighs 206 g. Filled with 242 mL of liquid it weighs 938 g. What is the density of the liquid? (938 g − 206 g ) d= = 3.02 g/mL 242 mL EXAMPLE 1-5 A 27.4 mL gold (19.3 g/mL) object has what mass? 19.3 g 27.4 mL x = 529 g Au 1 mL EXAMPLE 1-6 A 75.2 g piece of zirconium (6.42 g/mL) has what volume? 1 mL 75.2 g x = 11.6 mL Zr 6.42 g 10. Express and use percent composition in terms of conversion factors. Percent means part per hundred. Thus, 40.0% C in acetic acid means 40.0 g C in 100.0 g acetic acid. EXAMPLE 1-7 What mass of acetic acid contains 247 g C? 100.0 g acetic acid 247 g C x = 618 g acetic acid 40.0 g C 11. Solve algebraic equations that arise in the course of working chemistry problems. Solving an algebraic equation generally means obtaining a new equation, with the symbol for one variable isolated on one side and the remainder of the equation of the of the equation on the other side. EXAMPLE 1-8 Solve the following equation for P. 2 P + an (V - nb ) = nRT V2 P= nRT an 2 (V - nb ) V 2 5 2 Atoms and the Atomic Theory Section Objectives 1. List the numbers of protons, neutrons, and electrons present in atoms and ions, using the symbolism A ZE. The complete symbol for an atom or ion consists of the elemental symbol surrounded by subscripts and superscripts. a) The leading superscript (upper left) is the mass number. This is also the number of nucleons; a nucleon is a proton or a neutron. b) The leading subscript (lower left) is the atomic number or proton number. c) The trailing superscript (upper right) is the charge or the number of protons (atomic number) minus the number of electrons. The sign (+ or -) always must be included. The number is zero for a neutral atom, but the zero is written only for emphasis. Mass Charge number 235 U 3+ 92 Atomic number EXAMPLE 2-1 What is the atomic number, mass number, and charge of 19 F − ? 19 F − has an atomic number of 9; a mass number of 19; and a charge of –1. 2. Use the periodic table to predict the charges of ions of main group elements. Elements in the same column have similar properties. Each column is referred to as a periodic family or group. The horizontal rows are called periods. Elements on the right side of the periodic table are nonmetals; they form anions, or negatively charged ions. Elements on the left side of the periodic table are metals; they form cations, or positively charged ions. Elements within the same group will form ions with the same charge. 6 3 Chemical Compounds Section Objectives 1. Know and apply the conventions used in determining oxidation states. Because oxidation state is a formal rather than an experimental concept, it is possible to devise a rigid set of rules that work in all but the most unusual circumstances. One set of rules is given below. 1. 2. 3. a. b. c. d. e. f. g. h. i. j. Method of applying the rules Apply the rules from the top to the bottom of the list. Search the list to find a rule that fits. Apply it. Then start again at the top of the list to find the next rule that fits. Oxidation State rules The OS (oxidation state) of all uncombined elements = 0. The sum of the OS in compound = 0. The sum of the OS in an ion = ionic charge. Alkali metals (group 1A) have OS = +1. Alkaline earth metals (2A) have OS = +2. F has OS = -1 and H has OS = +1. O has OS = -2. Cl, Br, I (in order) have OS = -1. S, Se, Te (in order) have OS = -2. N, P, As (in order) have OS = -3. 2. Know the names, formulas, and charges of ions in the following tables and be able to write formulas and names of the compounds formed from these ions. Al H 3+ - Hydride Mn Ni 2+ 2+ Zn Aluminum Names, Formulas, and Charges of Some Common Ions 3+ 3+ Gold (III) or auric Iron (III) or ferric Au Fe 2+ Cd 2+ + Ag Au + Manganese (II) Nickel (II) Zinc Cadmium Silver Gold (I) or aurous Sn Sn Pb Pb 2+ 4+ 2+ 4+ 2+ Cr Tin (II) or stannous Tin (IV) or stannic Lead (II) or plumbous Lead (IV) or plumbic Chromium (II) or chromous 3+ Chromium (III) or chromic 2+ Iron (II) or ferrous Cr Fe Co Co Cu Cu 2+ Cobalt (II) or cobaltous 3+ Cobalt (III) or cobaltic + Copper (I) or cuprous 2+ Copper (II) or cupric Hg2 2+ 2+ Hg Mercury (I) or mercurous Mercury (II) or mercuric 7 NH4 + C 2H3O2 CO3 2- HCO3 C 2O4 CN - Acetate HSO4 Carbonate - 2- - SO3 SCN NO2 NO3 - HSO3 Oxalate S 2O3 HS Cyanate - O2 2- - CrO4 Nitrate Cr2O7 HPO4 Phosphate H2PO4 - MnO4 Hydrogen phosphate Hydrogen sulfite ClO3 Thiosulfate ClO4 BrO MnO4 2- Dichromate IO3 Permanganate Manganate Chlorate - Perchlorate - - IO 2- Chlorite - BrO4 Chromate - Hypochlorite - BrO3 Peroxide 2- - ClO2 Hydroxide 2- Nitrite 2- ClO Hydrogen sulfide - - 3- Hydrogen sulfate Sulfite - - OH Thiocyanate - 2- Hydrogen carbonate Cyanide OCN PO4 Names, Formulas, and Charges of Some Common Polyatomic Ions 2Ammonium Sulfate Hypofluorite SO4 FO IO4 Hypobromite - Bromate - Perbromate Hypoiodite - Iodate - Periodate Dihydrogen phosphate The lists presented above may seem rather extensive, but they contain practically all the ions you are likely to encounter in AP Chemistry. (You may get a few more in September, but this will give you a good start!) Naming an ionic compound is simple. Write down the name of the cation (positive ion), followed with a space, and then the name of the anion (negative ion). Writing formulas from names is not quite so simple. The formula contains more than just the symbols for the cation and anion. The cation and anion symbols are multiplied so that the total charge from the cations just balances the total charge of the anions. The total cation charge plus the total anion charge equals zero. Anions - Cations M M M M + 2+ 3+ 4+ + [NH4 ] 2+ [Ca ] 3+ [Al ] 4+ [Ce ] X MX - [F ] X 2- 2- [SO4 ] X 3- [NH4F] M2X [(NH4)2SO4] MX2 [CaF2] MX [CaSO4] MX3 [AlF3] M2X3 [Al2(SO4)3] M3X2 [Ca3(PO4)2] MX [AlPO4] MX4 [CeF4] M3X4 [Ce3(PO4)4] MX2 [Ce(SO4)3] M 3X 3- [PO4 ] [(NH4)3PO4] 8 3. Be able to write formulas and names of simple binary covalent compounds and of binary acids. Covalent compounds are formed between nonmetallic elements. The names of binary covalent compounds are obtained from the names of the two elements. The elements are named in the same order as they appear in the formula. The first element name is unchanged; the ending of the second becomes “-ide.” The element names have prefixes depending on the subscript of that element in the formula, except that the prefix mono- (meaning one of) is rarely used for the first element in a formula. Other prefixes are: di = 2, tri = 3, tetra = 4, penta = 5, hexa = 6, hepta = 7, octa = 8, nona = 9, and deca = 10. Binary acids consist of hydrogen and a nonmetal. HCl is a binary acid. The name of a binary acid has the prefix “hydro-” and the suffix “-ic” surrounding the root name of the element. HCl is hydrochloric acid. The binary acid names are used when the compound is dissolved in water, that is, in aqueous solution. When the compound is not an aqueous solution the name is the same as any ionic compound. 4. Use oxidation states to name oxoacids and oxoanions. Salts and acids of chlorine oxoanions Ox. State +1 Salt Example Acid Example Hypo- -ite NaClO Sodium hypochlorite NaClO2 Sodium chlorite NaClO3 Sodium chlorate NaClO4 Sodium perchlorate Hypo- -ous HClO Hypochlorous acid HClO2 Chlorous acid HClO3 Chloric acid HClO4 Perchloric acid +3 -ite +5 -ate +7 Per- -ite -ous -ic Per- -ic All oxoanions of the same family with the same oxidation state have similar names. Another generality is that the –ate anion and the –ic acid endings are used when the oxidation state of the central atom equals the periodic table family number. The only exceptions to this occur in the halogens, where the –ate and the –ic endings correspond to a +5 oxidation state and the noble gases where they correspond to +6. 5. Use solubility rules to predict products of reactions. The attached table of rules is one form of the solubility rules. You are responsible for learning these rules in some format. Each textbook gives a slightly different approach. 9 SOLUBILITY RULES LEARN!! The solubility of a solute is the amount that can be dissolved in a given quantity of solvent at a given temperature. For example, the solubility of lead (II) nitrate is 56 g/100 mL at 20oC. The solubilities of ionic solids in water vary over a wide range of values. For convenience, we divide compounds into three categories called soluble, slightly soluble and insoluble. Insoluble is a relative term and does not mean that no solute dissolves! Compounds are classified as insoluble if their solubility is less than 0.1 g/100 mL of water. On the other hand, soluble compounds are those whose solubilities are greater than 1.0 g/100 mL of water. The following “solubility rules” summarize the solubilities of various compounds in water at 25oC. 1. All Group IA salts are soluble (aq). 2. All ammonium salts are soluble (aq). 3. All salts containing nitrate, acetate, chlorate and perchlorate are soluble (aq). 4. All salts containing halides (chlorides, bromides, iodides, and fluorides) are soluble (aq) EXCEPT silver, mercury(I) and lead (s). (Lead halides are soluble in hot water.) 5. All sulfate salts are soluble (aq) EXCEPT barium, calcium, strontium, silver, mercury(I) and lead (s). 6. All salts containing carbonates, phosphates, and chromates are insoluble (s) EXCEPT for rules #1 and 2 (aq). 7. All sulfide salts are insoluble (s) EXCEPT for rules #1 and 2 and calcium, strontium, and barium (aq). 8. All hydroxide salts are insoluble (s) EXCEPT for rules #1 and 2 and barium and strontium (aq). (Calcium hydroxide is very slightly soluble.) Note: Rule #8 is the one that varies from text book to text book and causes the most trouble for people writing net ionic equations. Are the Group IIA hydroxides soluble or not? At best they are only moderately soluble – barium and strontium are a little more soluble than calcium and usually are called soluble. Calcium hydroxide is usually called insoluble. 10 AP Chemistry Summer Reading Book List Chemistry really is everywhere! Pick one (or more if you like!) of the books listed below. (There is something for everyone here – from “light” to “heavy” reading!) Read it. Take notes on it. Be prepared to discuss it on the first day of class in September. Agosta, William Thieves, Deceivers and Killers: Tales of Chemistry in Nature Asimov, Isaac Atom: Journey Across the Subatomic Cosmos Atkins, P. W. The Periodic Kingdom: A Journey into the Land of the Chemical Elements Ball, Phillip The Ingredients: A Guided Tour of the Elements Life’s Matrix: A Biography of Water Stories of the Invisible: A Guided Tour of the Molecules Cathcart, Brian The Fly in the Cathedral: How a Group of British Scientists Won the Race to Split the Atom Cobb, Cathy, et.al. Creations of Fire: Chemistry’s Lively History from Alchemy to the Atomic Age Magick, Mayhem and Mavericks: The Spirited History of Physical Chemistry Emsley, John Molecules at an Exhibition: Portraits of Intriguing Materials in Everyday Life The Thirteenth Element: The Sordid Tale of Murder, Fire and Phosphorus Nature’s Building Blocks: An A-Z Guide to the Elements Garfield, Simon Mauve: How One Man Invented a Color that Changed the World Hoffman, Roald Oxygen Old Wine, New Flasks: Reflections on Science and Jewish Tradition The Same and NotThe Same Karukstis, Kerry K., et. al. Chemistry Connections: The Chemical Basis of Everyday Phenomenon Lane, Nick Oxygen: The Molecule That Changed The World 11 LeCouteur, Penny, et. al. Napoleon’s Buttons: How 17 Molecules Changed History Levere, Trevor Transforming Matter: A History of Chemistry from Alchemy to the Buckyball Levi, Primo The Periodic Table Lindley, David Degrees Kelvin: A Tale of Genius, Invention and Tragedy Morris, Richard Last Sorcerers: The Path From Alchemy to the Periodic Table Quadbeck-Seger, Faust, Knaus and Siemeling World Records in Chemistry Sacks, Oliver Uncle Tungsten: Memories of a Chemical Boyhood Schachtman, Tom Absolute Zero and the Conquest of Cold Schwarcz, Joe Radar, Hula Hoops and Playful Pigs The Genie in the Bottle That’s The Way the Cookie Crumbles Strathern, Paul Mendeleev’s Dream: The Quest for the Elements 12 AP Chemistry Summer Reading Book Name ______________________________ Period __________ Date _______________ Book Title: Why did you pick this book? What was the general theme of your book? Give one interesting example from your book. Would you recommend this book to someone? Why/why not? *Attach any notes you took on this book. 13 AP Chemistry Summer Reading and ‘Riting and ‘Rithmetic – 2009 I know – it is the end of a long school year and after final exams you do not want to even think of opening a school book again for a very long time. Sorry! A little refresher is in order before we start off in September. You have some review chapters to read and some problems to work out. Since these problems will be graded, it is important that you take them seriously! In addition, a few class periods at the start of the school year will be used for questions on these assigned problems and then you will be tested on the material. This material is definitely not busy work to make your summer miserable!! In order to accurately assess your work, the assignments will be due to me before school starts. You may get these assignments to me in one of the following ways: 1. Bring the assignment to the North campus, and put the envelope in my school mailbox. Please note that the due dates are not mailing dates! I expect to receive your work on the dates listed. The work assigned covers chapters 1-4 in your Zumdahl textbook. Some chapters contain more information than is reflected in the assigned problems, but you are responsible only for the material covered by the problems. If you have difficulty with any of the assignments, use your Study Guide (Zumdahl) as an aide. Remember: to receive credit for any math problems, you must show all work! Otherwise credit will not be given – even if a numerical answer is “correct”! Due: July 24, 2009 Assignment #1 Due: August 11, 2009 Assignment #2 Due: August 28, 2009 Assignment #3 Title of summer book you read Due: First day of class in September Answers to “Safety Rules and Techniques for the Chemistry Lab” worksheet (complete answers to all that you can – some may not be possible and you can fill those in as we go over them) Signed lab safety agreement. Signed ethical agreement. Your notes and worksheet on your chemistry summer reading book. Your thread-bound notebook with graphing grids (not lines!) for lab work – you will be setting up a lab for the first lab period. Due: Second day of class in September Tutorial pages on writing equations. 14 It wouldn’t hurt to pick up an AP Chem Review Book early so that you can use it all year. The Kaplan books are a good reference to use during the year and as well as using for the AP Test. Sometime during the summer, pick up a thread-bound notebook with graphing grids (not lines) at Staples, Office Max, etc., for your lab journal for next year. You will need that right away!!!! (Watch for those back to school sales in August!) Also, you will need a scientific calculator (not your fancy graphing calculator!) for taking your tests and quizzes. If you don’t have one from your chem or physics class, pick one up and start learning how to use it! Bring that with you at the start of school in September also. 15 Summer Assignment #1 Please place all answers on a separate sheet of paper. Do not try to cram the answers onto these pages! I. Chemical Formulas 1. Write formulas for the following substances: a. b. c. d. e. f. g. h. i. j. k. l. m. n. o. p. q. r. s. t. u. v. w. x. y. z. Barium sulfate Ammonium chloride Chlorine monoxide Silicone tetrachloride Magnesium fluoride Sodium oxide Sodium peroxide Copper (I) iodide Zinc sulfide Potassium carbonate Hydrobromic acid Perbromic acid Lead (II) acetate Sodium permanganate Lithium oxalate Potassium cyanide Iron (III) hydroxide Silicone dioxide Nitrogen trifluoride Chromium (III) oxide Calcium chlorate Sodium thiocyanate Cobalt (III) nitrate Nitrous acid Ammonium phosphate Potassium chromate 16 2. Name each of the following compounds (Give acid names where appropriate) a. b. c. d. e. f. g. h. i. j. k. l. m. n. o. p. q. r. s. t. u. v. w. x. y. z. CuSO4 PCl3 Li3N BaSO3 N2F4 KClO4 NaH (NH4)2Cr2O7 HNO2 (aq) Sr3P2 Mg(OH)2 Al2S3 AgBr P4O10 HC2H3O2 (aq) CaI2 MnO2 Li2O FeI3 Cu3PO4 PCl3 NaCN Cs3N Zn (NO3)2 N2O HF (aq) 17 II. Chemical Equations Tell the type of reaction, predict the products and write a balanced chemical equation for each of the following, as shown in the example: Ex: Solutions of silver nitrate and magnesium iodide are combined. This is a double replacement reaction. 2AgNO3 + MgI2 →2AgI (s) + Mg(NO3)2 1. Ammonium sulfate reacts with barium nitrate, 2. Zinc metal is added to a solution of copper (II) chloride. 3. Propane gas (C3H8) is burned in excess oxygen. 4. Dinitrogen tetroxide gas is added to distilled water. 5. Solid calcium chlorate is heated strongly. 6. Sodium hydroxide solution is added to a solution of iron (III) bromide. 7. Chlorine gas is bubbled through a solution of sodium bromide. 8. Solutions of lead nitrate and calcium iodide are combined. 9. Sulfuric acid is combined with solid magnesium hydroxide. 10. Solid barium oxide is added to distilled water. 11. Isopropyl alcohol (C3H7OH) is burned in air. 12. Iron metal shavings are added to hydrochloric acid. 13. Solid sodium carbonate is heated in a crucible. 14. Solid aluminum hydroxide is added to perchloric acid. 15. Sodium metal is added to distilled water. 18 III. Metric Conversions, Dimensional Analysis, Atomic Structure 1) The English unit, the rod, is equal to 16.5 ft. What is this length expressed in meters? 2) A certain brand of coffee is offered for sale at $7.26 for a 3-lb. can or $5.42 for an l-kg can, which is the better buy? 3) A sprinter runs the 100-yd dash in 9.3 s. What would be his time for a 100-m run if he ran at the same rate? 4) The unit of length, the furlong, is used in horse racing. The units of length, the chain and the link, are used in surveying. There are 8 furlongs in 1 mi., 10 chains in 1 furlong, and 100 links in 1 chain. To three significant figures, what is the length of 1 link in inches? 5) An English unit of mass used in pharmaceutical work is the grain (gr). 15 gr = 1.0 g. An aspirin tablet contains 5.0 gr of aspirin. A 145-lb person takes two aspirin tablets. a) What is the quantity of aspirin taken, expressed in milligrams? b) What is the dosage rate of the aspirin, expressed in milligrams of aspirin per kilogram of body weight? 6) A block of ice measures 24 in. x 36 in. x 18 in. a) What is the volume of this block in cubic meters? b) What is the total surface area of the block in square centimeters? 7) Many times errors are expressed in terms of percentage. The percentage error is the absolute value of the difference of the accepted value and the experimental value, divided by the accepted value, and multiplied by 100. accepted value - experimental value Percent Error = x 100 accepted value Calculate the percent error for the following measurements. a) The density of an aluminum block determined in an experiment was 2.64 g/mL. (Accepted value = 2.70 g/mL) b) The experimental determination of iron in iron ore was 16.48%. (Accepted value = 16.12%) c) A balance measured the mass of 1.0000 g standard as 0.9981 g. 8) How many protons, neutrons and electrons are in each of the following? a) 227 Ac e) 239 Pu i) 19 F 9 b) 70 Ga f) 64 Cu j) 31 P 3 15 3+ c) 11 B g) 56 k) 127 I 26 Fe 53 d) 251 Cf h) 40 Ca 2 + l) 127 I 7 + 20 53 19 11) The density of water is 1.0 g/cm3. Express this value in units of kg/m3 and lb/ft3. 12) Diamonds are measured in carats, and 1 carat = .200 g. The density of diamond is 3.51 g/cm3. What is the volume of a 5.0 carat diamond? 13) In the opening scenes of the movie Raiders of the Lost Ark, Indiana Jones tries to remove a gold idol from a booby-trapped pedestal. He replaces the idol with a bag of sand of approximately equal volume. (Density of gold = 19.32 g/mL; density of sand ≈ 2 g/mL.) a) Did he have a reasonable chance of not activating the mass-sensitive booby trap? b) In a later scene he and an unscrupulous guide play catch with the idol. Assume that the volume of the idol is about 1.0 L. If it were solid gold, what mass would the idol have? Is playing catch with it plausible? Why or why not? 14) An experiment was performed in which an empty 100 mL graduated cylinder was weighed. It was weighed once again after it had been filled to the 10.0 mL mark with dry sand. A 10 mL pipet was used to transfer 10.00 mL of methanol to the cylinder. The sand-methanol mixture was stirred until bubbles no longer emerged from the mixture and the sand looked uniformly wet. The cylinder was then weighed again. Use the data obtained from this experiment (and displayed below) to find the density of dry sand, the density of methanol, and the density of sand particles. Does the bubbling that occurs when the methanol is added to the dry sand indicate that the sand and methanol are reacting? Mass of cylinder plus wet sand Mass of cylinder plus dry sand Mass of empty cylinder Volume of dry sand Volume of sand + methanol Volume of methanol 45.2613 g 37.3488 g 22.8317 g 10.0 mL 17.6 mL 10.00 mL 15) The German chemist Fritz Haber proposed paying off the reparations imposed against Germany after World War I by extracting gold from seawater. Given that (a) the amount of the reparations was 28.8 billion dollars, (b) the value of gold at the time was about $21.25 per troy ounce (12 troy ounces = 1 lb), and (c) gold occurs in seawater to the extent of 4.67 x 1017 atoms per ton of seawater (1 ton = 2000 lb), how many cubic kilometers of seawater would have had to be processed to obtain the required amount of gold? Assume that the density of seawater is 1.03 g/cm3. Summer Assignment #2 Stoichiometry These problems must be worked out on a separate page and all work shown for credit. 1. Benzene contains only carbon and hydrogen and has a molar mass of 78.1 g/mol. Analysis shows the compound to be 7.74% H by mass. Find the empirical and molecular formulas of benzene. 2. Find the mass percent of nitrogen in each of the following compounds: a. NO b. NO2 c. N2O4 d. N2O 3. Calcium carbonate decomposes upon heating, producing calcium oxide and carbon dioxide gas. a. Write a balanced chemical equation for this reaction. b. How many grams of calcium oxide will remain after 12.25 g of calcium carbonate is completely decomposed? c. What volume of carbon dioxide gas is produced from this amount of calcium carbonate? The gas is measured at 0.95 atm and 10°C. 4. Hydrogen gas and bromine gas react to form hydrogen bromide gas. a. Write a balanced chemical equation for this reaction. b. How many grams of hydrogen bromide gas can be produced from 3.2 g of hydrogen gas and 9.5 g of bromine gas? c. How many grams of which reactant is left unreacted? d. What volume of HBr, measured at STP, is produced in b)? 5. When ammonia gas (NH3), oxygen gas (O2) and methane gas (CH4) are combined, the products are hydrogen cyanide gas (HCN) and water. a. Write a balance chemical equation for this reaction. b. Calculate the mass of each product produced when 225 g of oxygen gas is reacted with an excess of the other two reactants. c. If the actual yield of the experiment in b) is 105 g of HCN, calculate the percent yield. 6. A 2.29 g sample of an unknown acid is dissolved in 1.0 liter of water. A titration required 25.0 ml of 0.500 M NaOH to completely react with all the acid present. What is the molar mass of the acid? 7. What mass of aluminum hydroxide is produced when 50.0 ml of 0.200 M Al(NO3)3 reacts with 200.0 ml of 0.100 M KOH? 21 8. Cinnamic acid contains only carbon, hydrogen and oxygen, and is found by analysis to be 73.0% C and 5.4% hydrogen. In a titration, 18.02 ml of 0.135M NaOH is found to neutralize 0.3602 g of cinnamic acid. a. Find the empirical formula of this compound. b. Find the molar mass of this compound. c. Write the molecular formula for this compound. 9. Potassium nitrate decomposes when heated, forming potassium nitrite and oxygen gas. a. Write a balanced chemical equation for this reaction. b. What mass of KNO3 would be needed to produce 18.4 liters of oxygen gas, measured at 775 mmHg and 15°C? c. What mass of KNO2 would also be produced? 10. A compound contains only carbon, hydrogen and oxygen. Combustion of 10.68 mg of the compound yields 16.01mg CO2 and 4.37 mg H2O. The molar mass of the compound is 176.1 g/mole. What are the empirical and molecular formulas of the compound? AP Chemistry Summer Review #3 Writing Net Ionic Equations Your first review assignment reminded you of how to write formulas and balance equations. For the AP Chemistry exam, all equations must be written in net ionic form and you must be able to recognize types of reactions and then predict products. 22 We will be writing net ionic equations all year and our beginning lab work will involve recognizing types of reactions and predicting products. The pages that follow give tutorials for recognizing types of reactions. The first section of this assignment will have you predicting products for a given type of reaction and then writing balanced equations. The final sections of this assignment will be a “mixed review” where you will have to recognize the type of reaction before being able to predict the products and write the balanced equations! You will also be asked to write net ionic equations, rather than just molecular equations. Write the balanced molecular equations for exercises 1, 2, 3, 4, and 5. As you do these exercises you will be learning your solubility rules, strong and weak electrolytes, and decomposition products. Write the balanced molecular equations for exercise 6, the write the balanced overall ionic equations for exercise 6 and then write the balanced net ionic equations for exercise 6. Now go back to your answers to exercises 1, 2, 3, 4, and 5 and write balanced net ionic equations for each problem that goes to completion. (Remember, sometimes the overall ionic and net ionic equations are the same; sometimes the molecular equation is all there is and there are no ions at all! Do the equations in order and on separate paper not the pages of the tutorial packet. Bring the tutorial pages to class on the second class in September and we will discuss the work. Exercise 1. Synthesis and Decompostion Reactions Synthesis reactions occur when two or more reactants combine to form a single product. There are several common types of synthesis reactions. 23 A metal combines with a nonmetal to form a binary salt. Example: A piece of lithium metal is dropped into a container of nitrogen gas. 6Li + N2 → 2Li3N Metallic oxides and water form bases (metallic hydroxides). Example: Solid sodium oxide is added to water. Na2O + HOH → 2NaOH Example: Solid magnesium oxide is added to water. MgO + HOH → Mg(OH)2 Nonmetallic oxides and water form acids. The nonmetal retains its oxidation number. Example: Carbon dioxide is bubbled into water. CO2 + H2O → H2CO3 (Oxidation number of C = +4) Example: Dinitrogen pentoxide is bubbled into water. N2O5 + H2O → 2HNO3 Metallic oxides and nonmetallic oxides form salts. Example: Solid sodium oxide is added to carbon dioxide. Na2O + CO2 → Na2CO3 Example: Solid calcium oxide is added to sulfur trioxide. CaO + SO3 → CaSO4 Decomposition reactions occur when a single reactant is broken down into two or more products. Metallic carbonates decompose into metallic oxides and carbon dioxide. Example: A sample of magnesium carbonate is heated. MgCO3 → MgO and CO2 Metallic chlorates decompose into metallic chlorides and and oxygen. Example: A sample of magnesium chlorate is heated. Mg(ClO3)2 → MgCl2 + 3O2 Ammonium carbonate decomposes into ammonia, water and carbon dioxide. Example: A sample of ammonium carbonate is heated. (NH4)2CO3 → 2NH3 + H20 + CO2 Sulfurous acid decomposes into sulfur dioxide and water. Example: A sample of sulfurous acid is heated. H2SO3 → H2O + SO2 Carbonic acid decomposes into carbon dioxide and water. Example: A sample of carbonic acid is heated. H2CO3 → H2O + CO2 24 Ammonium hydroxide decomposes into ammonia and water. Example: A sample of ammonium hydroxide is heated. NH4OH → NH3 + H2O Hydrogen peroxide decomposes into water and oxygen. Example: A sample of hydrogen peroxide is heated. 2H2O2 → 2H2O + O2 A binary compound may break down into two elements. Example: Molten sodium chloride is electrolyzed. 2NaCl → 2Na + Cl2 Your Turn! Predict and balance the following synthesis and decomposition reactions. Use abbreviations to indicate the phase (aq, s, l, or g) of reactants and products where possible. Write answers on a separate page! 1. A sample of calcium carbonate is heated. 2. Sulfur dioxide gas is bubbled through water. 3. Solid potassium oxide is added to a container of carbon dioxide gas. 4. Liquid hydrogen peroxide is warmed. 5. Solid lithium oxide is added to water. 6. Molten aluminum chloride is electrolyzed. 7. A pea-sized piece of sodium is added to a container of iodine vapor. 8. A sample of carbonic acid is heated. 9. A sample of potassium chlorate is heated. 10. Solid magnesium oxide is added to sulfur trioxide gas. Exercise 2. Single Replacement Reactions Single replacement reactions are reactions that involve an element replacing one part of a compound. The products include the displaced element and a new compound. An element can only replace another element that is less active than itself. General activity series for metals: (Most active) Li Ca Na Mg Al Zn Fe Pb [H2] Cu Ag Pt (Least active) 25 General activity series for nonmetals: (Most active) F2 Cl2 Br2 I2 (least active) Here are some common types of single replacement reactions. Active metals replace less active metals from their compounds in aqueous solution. Example: Magnesium turnings are added to a solution of iron (III) chloride. 3Mg + 2FeCl3 → 2 Fe + 3MgCl2 Active metals replace hydrogen in water. Example: Sodium is added to water. 2Na + 2HOH → H2 + 2NaOH Active metals replace hydrogen in acids. Example: Lithium is added to hydrochloric acid. 2Li + 2HCl → H2 + 2LiCl Active nonmetals replace less active nonmetals from their compounds in aqueous solution. Example: Chlorine gas is bubbled into a solution of potassium iodide. Cl2 + 2KI → I2 + 2KCl If a less reactive metal is combined with a more reactive element in compound form, there will be no resulting reaction. Example: Chlorine gas is bubbled into a solution of potassium fluoride. Cl2 + KF → no reaction Example: Zinc is added to a solution of sodium chloride. Zn + NaCl → no reaction NOTE: On the AP reaction prediction section, all reactions “work”; in other words, there will be no “no reaction” problems on the AP exam. Your turn! Using the activity series, predict and balance the following single replacement reactions. Use abbreviations to indicate the appropriate phase of reactants and products where possible. Write answers on a separate page! Note: Not all of the reactions will occur. For those that do not, write “no reaction”. 1. A piece of copper is dropped into a container of water. 2. Liquid bromine is added to a container of sodium iodide crystals. 3. An aluminum strip is immersed in a solution of silver nitrate. 26 4. Zinc pellets are added to a sulfuric acid solution. 5. Fluorine gas is bubbled into a solution of silver nitrate. 6. Magnesium turnings are added to a solution of lead (II) acetate. 7. Iodine crystals are added to a solution of sodium chloride. 8. Calcium metal is added to a solution of nitrous acid. 9. A pea-sized piece of lithium is added to water. 10. A solution of iron (III) chloride is poured over a piece of platinum wire. Exercises 3, 4 and 5. Double Replacement (Metathesis) Reactions In many reactions between two compounds in aqueous solution, the cations and anios appear to switch partners according to the following equation: AX + BY → AY + BX The two compounds react to form two new compounds. No changes in oxidation numbers occur. Reactions of this type are known as double replacement or metathesis reactions. An example of such a reaction would be the mixing of aqueous solutions of potassium bromide and silver nitrate forming insoluble silver bromide (precipitate) and aqueous potassium nitrate; KBr (aq) + AgNO3 (aq) → AgBr (s) + KNO3 (aq) Note that each cation pairs up with the anion in the other compound, thus switching partners. Anions do not pair up with anions and cations do not pair up with cations. Likes repel; opposites attract! All double replacement reaction must have a “driving force” or a reason why the reaction will occur or “go to oompletion”. The “driving force” in metathesis reactions is the removal of a least one pair of ions from solution. This removal can occur in one of three ways: 1. Formation of a precipitate: A precipitate is an insoluble substance (solid) formed by the reaction of two aqueous substances. It is the result of ions binding together so strongly that the solvent (water) cannot pull them apart. The insoluble solid (or solids if a double precipitate occurs!) will settle out (precipitate) from the solution and this results in the removal of ions from solution. 2. Formation of a gas: Gases may form directly in a double replacement reaction or from the decomposition of one of the products. The gases will bubble off or evolve from the solution. 27 3. Formation of primarily molecular species: The formation of primarily unionized molecules in solution removes ions from the solution and the reaction “works” or is said to go to completion. Unionized or partially ionized molecules give solutions that are known as nonelectrolytes or weak electrolytes. The best know nonelectrolyte is water formed in acid-base neutralization reactions. Acetic acid is an example of an acid that is primarily molecular (weak electrolyte) when placed in water. Reversible Reactions If a double replacement reaction does not go to completion (no precipitate, gas or molecular species is formed), then the reaction is reversible (no ions have been removed). Reversible reactions are at equilibrium and have both forward and reverse reactions taking place. In a reversible reaction, evaporation of the water solvent will result in solid residues of both reactants and products. The reaction is not driven to completion (products) because no ions have been removed. A double arrow is used to designate a reversible reaction at equilibrium. BaCl2 (aq) + 2 NaNO3 (aq) ↔ Ba(NO3)2 (aq) + 2 NaCl (aq) Solubility Rules The solubility classification of ionic substances according to their solubility in water is difficult. Nothing is completely “insoluble” in water. The degree of solubility varies from one “soluble” substance to another. Nevertheless, a solubility classification scheme is useful even though it must be regarded as an approximate guideline. Learn the solubility rules! Formation of a Gas Common gases formed in metathesis reactions are: H2S: Any sulfide (salt of S2-) plus any acid for H2S (g) and a salt. CO2: Any carbonate (salt of CO32-) plus any acid for CO2 (g) , HOH and a salt. SO2: Any sulfite (salt of SO32-) plus any acid form SO2 (g), HOH and a salt. NH3: Any ammonium salt (salt of NH4+) plus any soluble strong hydroxide react upon heating to form NH3 (g), HOH and a salt. Reactions that produce three of the gases (CO2, SO2, and NH3) involve the initial formation of a substance that breaks down to give the gas ad HOH. Example: The reaction of Na2SO3 and HCl produces H2SO3. Na2SO3 (aq) + 2HCl (aq) → H2SO3 (aq) + 2 NaCl (aq) Bubbling is observed in this reaction because the H2SO3 (sulfurous acid) is unstable and immediately decomposes to give HOH and SO2 gas: H2SO3 (aq) → HOH (l) and SO2 (g) The molecular equation for the complete reaction, therefore, is Na2SO3 (aq) + 2HCl (aq) → HOH (l) + SO2 (g) + 2 NaCl (aq) 28 Example: A typical reaction of a carbonate and an acid is: K2CO3 (aq) and 2HNO3 (aq) → HOH (l) + CO2 (g) + 2KNO3 (aq) Bubbling is also observed in this reaction. Theoretically, H2CO3, carbonic acid, is formed, but the acid is unstable and immediately decomposes to form carbon dioxide gas and water according to the following equation: H2CO3 → HOH (l) and CO2 (g) Example: Ammonium salts and soluble bases react as follows (particularly when the solution is warmed): NH4Cl (aq) + NaOH (aq) → NH3 (g) +HOH (l) + NaCl (aq) The odor of ammonia gas is noted and moist red litmus paper held near the mouth of the container will turn blue. Theoretically, NH4OH, ammonium hydroxide, is produced (also known as ammonia water). The compound is unstable and decomposes into ammonia gas and water: NH4OH (aq) → NH3 (g) + HOH (l) Example: The odor of rotten eggs and bubbling are noted when an acid is added to a sulfide. A typical reaction producing hydrogen sulfide gas is: FeS (s) + 2HCl (aq) → FeCl2 (aq) + H2S (g) NOTE: Be aware of reactions involving the formation of carbon dioxide, sulfur dioxide, ammonia and hydrogen sulfide gases on the AP exam. Over the years these reactions have appeared many, many times. Know these four gases and how they are produced! Formation of a Molecular Species (Weak or Nonelectrolytes) Metathesis reactions that produce primarily molecules in the form of partially dissociated or ionized molecules (weak electrolytes) or molecules that do not ionized of dissociated at all (nonelectrolytes) serve as the driving force in some aqueous reactions. Forming molecular products in double replacement reactions results in the removal of ions from solution. Such reactions tend to go to completion (shift to the right) and form primarily products. General rules: 1. The six common strong acids, and thus strong electrolytes, are HClO4, HCl, HBr, HI, HNO3 and H2SO4. (Memorize these!) All other common acids are weak acids and thus weak electrolytes. (HC2H3O2 or CH3COOH, H3PO4, HF and HNO2 are examples of weak acids. Note: All organic acids (R-COOH) are weak electrolytes.) All strong acids in their pure form (as opposed to dilute aqueous form!) are nonelectrolytes (molecular). When water is added, the action of the solvent water with a strong acid produces a hydrated proton (hydronium ion) and a negatively charged anion. The process of making 29 ions from molecular species is known as ionization. Strong acids ionize 100% in water. An example of a strong electrolyte undergoing ionization is as follows: HCl (aq) + H2O (l) → H3O+ (aq) + Cl- (aq) This reaction may be abbreviated as: HCl (aq) → H+ (aq) + Cl- (aq) 2. The common strong bases are the soluble hydroxides (those of Group IA elements and Ba2+) and the slightly soluble hydroxides (those of Ca2+ and Sr2+). Strong bases, like strong acids, are strong electrolyte. (Memorize these!) NH4OH is a soluble weak electrolyte which normally decomposes into NH3 (g) and HOH (l). Technically speaking, the pure compound ammonium hydroxide has never been isolated and the substance is more correctly known as aqueous ammonia. Most other hydroxides are insoluble. Pure liquid hydroxides are strong hydroxides because they already contain ions. The action of the solvent water releasing the ions of a base into solution is known as dissociation. Acids ionize in water; bases dissociate. 3. Most common (soluble) salts are strong electrolytes and thus dissociate inot ions when placed into water. 4. Water is a weak electrolyte which is typically produced in acid-base neutralization reactions. Some examples of weak electrolytes forming as products (shown in bold): Ca(CH3COO)2 (aq) + 2HCl (aq) → CaCl2 (aq) + 2CH3COOH (aq) 2Na3PO4 (aq) + 3H3PO4 (aq) → 3Na2SO4 (aq) + 2H3PO4 (aq) HCl (aq) + NaOH (aq) → NaCl (aq) + HOH (l) Acid-Base Neutralization Reactions Acids react with bases to produce salts and water. One mole of hydrogen ions will react with one mole of hydroxide ions to produce one mole of water. Learn which acids are strong (written in ionic form!) and which acids are weak (written in molecular form)! Check the solubility rules for the solubility of the salt produced! If it is soluble, it is written in ionic form; if it is insoluble it is written in molecular form. Acid + Base → Salt + Water (A salt consists of a cation from a base and an anion from an acid. For example, the salt sodium sulfate contains sodium ions form sodium hydroxide and sulfate ions from sulfuric acid.) Example: Hydrogen sulfide gas is bubbled through excess potassium hydroxide solution. H2S (g) + KOH (aq) → K2S (aq) + 2HOH (l) Polyprotic acids can be tricky when it comes to predicting neutralization reactions. Sulfuric acid and phosphoric acid are classic examples frequently encountered on AP 30 exams. If the base is in excess, all hydrogen ions will react with the strong base to produce water. Example: Dilute sulfuric acid is reacted with excess sodium hydroxide solution. H2SO4 (aq) + 2NaOH (aq) → Na2SO4 (aq) + 2HOH (l) If, however, the reaction above stated that equal numbers of moles of sulfureic acid and sodium hydroxide react, then the coefficients for both reactants must be one and the salt that forms is sodium hydrogen sulfate. Example: Equal number of moles of sulfuric acid and sodium hydroxide solution mix. H2SO4 (aq) + NaOH (aq) → NaHSO4 (aq) + HOH (l) Take into account information dealing with the quantity of each reactant! Example: Equal volumes of 0.1M phosphoric acid and 0.2M sodium hydroxide are mixed together. H3PO4 (aq) + 2NaOH (aq) → Na2PO4 (aq) + 2HOH (l) Watch for substances that react with water before reacting with an acid or a base. The acid and basic anhydrides behave in such a manner. These are really two-step reactions. Example: Excess sulfur dioxide gas is bubbled into a saturated solution of calcium hydroxide. SO2 (g) + Ca(OH)2 (aq) → CaSO3 (s) + HOH (l) (Remember, SO2 (g) is an acid anhydride!) If an acid + base yields a salt + water, then an acid anhydride + basic anhydride will yield a salt. Example: Sulfur dioxide gas and solid calcium oxide are reacted together. SO2 (g) + CaO (s) → CaSO3 (s) (SO2 (g) is the acid anhydride for sulfurous acid; CaO (s) is the basic anhydride for calcium hydroxide.) Exercise 3. Formation of a Precipitate Predict and balance the following metathesis reactions based on the solubility of the products. Use the abbreviations (aq) and (s) for the reactants and the products. All reactants are aqueous. Write answers on a separate page! Note: Some of these reactions do not go to completion! Correct molecular formulas must be written for both reactants and products before an equation may be balanced. 1. silver nitrate + postasium chromate 2. ammonium chloride + cobalt (II) sulfate 3. lithium hydroxide + sodium chromate 31 4. zinc acetate + cesium hydroxide 5. ammonium sulfide + lead (II) sulfide 6. iron (III) sulfate + barium iodide 7. chromium (III) bromide + sodium nitrate 8. rubidium phosphate + titanium (IV) nitrate 9. ammonium carbonate + nickel (II) chloride 10. tin (IV) nitrate + potassium sulfite Exercise 4. Formation of a Gas Predict and balance the following metathesis reactions based on the solubility of the products. Use the abbreviations (aq), (s), (l) and (g) for the reactants and the products. All reactants are aqueous unless otherwise stated. Write answers on a separate page! 1. ammonium sulfate and potassium hydroxide are mixed together 2. ammonium sulfide is reacted with hydrochloric acid 3. cobalt (II) chloride is combined with silver nitrate 4. solid calcium carbonate is reacted with sulfuric acid 5. potassium sulfite is reacted with hydrobromic acid 6. potassium sulfide is reacted with nitric acid 7. ammonium iodide + magnesium sulfate 8. solid titanium (IV) carbonate + hydrochloric acid 9. solid calcium sulfite + acetic acid 10. strontium hydroxide + ammonium sulfide Exercise 5. Predict and balance the following metathesis reactions based on the solubility of the products. Use the abbreviations (aq), (s), (l) and (g) for the reactants and the 32 products. All reactants are aqueous unless otherwise stated. Write answers on a separate page! 1. Carbon dioxide gas is bubbled through a solution of lithium hydroxide 2. Sodium nitrite is reacted with hydrochloric acid 3. Ammonium bromide + sodium hydroxide 4. Carbon dioxide gas is reacted with solid potassium oxide 5. Solid magnesium oxide is reacted with solid potassium oxide 6. Equal numbers of moles of potassium hydroxide and phosphoric acid react 7. sodium fluoride reacts with dilute nitric acid 8. ammonium carbonate + potassium bromide 9. oxalic aid (0.l M) reacts with an equal volume of cesium hydroxide (0.1M) 10. silver nitrate + sodium chromate Aqueous Solutions and Ionic Equations It is now time to concentrate on writing chemical equations in the form required for the AP Chem exam! All equations in the previous sections were written as if the reactants and products were molecular. In overall (total) ionic equations, formulas of the reactants and products are written to show the predominant form of each substance as it exists in aqueous solution. Soluble salts, strong acids and strong bases are written as separated ions. Insoluble salts, suspensions, solids, weak acids, weak gases, gases, water and organic compounds are always written as individual molecules. Consider the following molecular equation: Cd(NO3)2 (aq) + Na2S (aq) → CdS (s) + 2NaNO3 (aq) The overall ionic equation for this reaction is Cd2+ (aq) + 2NO3- (aq) + 2Na+ (aq) + S2- (aq) → CdS (s) + 2Na+(aq) + 2NO3- (aq) Note that this equation illustrates that cadmium nitrate dissociates into three ions (one cadmium ion and two nitrate ions); sodium sulfide dissociates into two sodium ions and one sulfide ion; the soluble sodium nitrate formed remains dissociated as two sodium and two nitrate ions. The precipitated (insoluble) cadmium is undissociated. Also note that the parentheses that appear in a molecular formula are not used when representing the ionic form in solution. For example, dissociated cadmium nitrate contains no parentheses. 33 Note: The only common substances that should be written as ions in ionic equations are soluble salts, strong acids and strong bases. Net ionic equations are written to show only the species that react or undergo change in aqueous solution. The net ionic equation is obtained by eliminating the spectator ions form an overall ionic equation. All that is left are the ions that have changed chemically. Spectators at a sporting event watch the action unfolding in front of them rather than participating; spectator ions likewise do not participate in the reaction. The elimination of spectator ions allows us to concentrate only on the reacting species. Molecular equations provide complete chemical formulas which are of necessity when it comes to doing stoichiometric calculations. Overall ionic equations, the intermediated between molecular and net ionic equations, show what is happening to all species in the solution. Such equations are very helpful when dealing with hydrolysis, electrical conductivity, and colligative properties. Net ionic equations are the simplest form of equations and show only the reacting species. Molecular: Cd(NO3)2 (aq) + Na2S (aq) → CdS (s) + 2NaNO3 (aq) Overall Ionic Cd2+ (aq) + 2NO3- (aq) + 2Na+ (aq) + S2- (aq) → CdS (s) + 2Na+(aq) + 2NO3- (aq) (The spectator ions have been highlighted in bold!) Net Ionic Cd2+ (aq) + S2- (aq) → CdS (s) Example: Aqueous solutions of sulfuric acid and excess sodium hydroxide are reacted. H2SO4 (aq) + 2NaOH (aq) → 2 HOH (l) + Na2SO4 (aq) H+ + HSO4- + 2Na+ +2OH- → 2HOH (l) + 2Na+ (aq) + SO42- (aq) H+ + HSO4- + 2OH- → 2HOH (l) + SO42- (aq) Special note: The first proton in sulfuric acid is ionized completely; the second proton is only partially ionized. Sulfuric acid is the only polyprotic acid that exhibits this property. All other polyprotic acids are weak and are written in their molecular forms! Example: Aqueous solutions of sulfuric acid and excess sodium hydroxide are combined. H2SO4 (aq) + Ba(OH)2 (aq) → 2 HOH (l) + BaSO4 (s) H+ + HSO4- + Ba2+ +2OH- → 2HOH + BaSO4 H+ + HSO4- + Ba2+ +2OH- → 2HOH + BaSO4 34 Example: Sodium acetate undergoes hydrolysis when placed in water. NaCH3COO (aq) + HOH (l) → NaOH (aq) + CH3COOH (aq) Na+ + CH3COO- + HOH → Na+ + OH- + CH3COOH CH3COO- + HOH → OH- + CH3COOH Example: Equal volumes of 0.2 M potassium hydroxide and 0.2 M phosphoric acid are reacted. KOH (aq) + H3PO4 (aq) → HOH (l) + KH2PO4 (aq) K+ + OH- + H3PO4 → HOH (l) + K+ + H2PO4OH- + H3PO4 → HOH (l) + H2PO4Example: Aqueous solutions of potassium chromate and silver nitrate are reacted. K2CrO4 (aq) + 2AgNO3 (aq) → 2KNO3 (aq) + Ag2CrO4 (s) 2K+ + CrO42- + 2Ag+ + 2NO3- → 2K+ + 2NO3- + Ag2CrO4 (s) CrO42- + 2Ag+ → Ag2CrO4 (s) Example: Aqueous ammonium sulfide reacts with excess aqueous lithium hydroxide. (NH4)2S (aq) + 2LiOH (aq) → Li2S (aq) + 2NH3 (g) + 2HOH (l) 2NH4- + S- + 2Li+ + OH- → 2Li+ +S2- + 2NH3 (g) + 2HOH (l) 2NH4- + OH- → 2NH3 (g) + 2HOH (l) Example: Excess acetic acid reacts with aqueous ammonium sulfite. 2CH3COOH (aq) + Na2SO3 (aq) → 2NaCH3COO (aq) + HOH (l) + SO2 (g) 2CH3COOH + 2Na+ + SO3- → 2Na+ + 2CH3COO- + HOH + SO2 2CH3COOH + SO3- → 2CH3COO- + HOH + SO2 Example: Calcium carbonate in aqueous suspension reacts with dilute hydrochloric acid. CaCO3 (s) + 2HCl (aq) → CaCl2 (aq) + HOH (l) + CO2 (g) CaCO3 + 2H+ + 2Cl- → Ca2+ +2Cl- + HOH + CO2 CaCO3 + 2H+ → Ca2+ + HOH + CO2 35 Exercise 6. Write balanced molecular, overall ionic and ionic equations for the following reactions. Write answers on a separate page! 1. aqueous nickel (II) nitrate + aqueous cesium hydroxide 2. equal volumes of equal molar concentrations of sulfuric acid and sodium hydroxide 3. solid potassium chlorate is strongly heated 4. potassium tartrate solution + water 5. solid lithium metal is added to water 6. aqueous solutions of magnesium nitrate and sodium bromide are mixed together 7. aqueous solutions of oxalic acid and excess potassium hydroxide 8. solid cobalt (II) hydroxide + hydroiodic acid 9. aqueous solutions of manganese (II) sulfate undergoing hydrolysis 10. aqueous sodium carbonate + chlorous acid 11. aqueous solutions of potassium phosphate and excess hydrobromic acid (Modified from “Chemical Equations Handbook”, Flinn Scientific) 36