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CHEMICAL FORMULAS & COMPOSITION John Dalton said compounds form by the combination of atoms in the ratio of small whole numbers. He devised a symbol for each known element/compound to help in writing chemical equation ____________ - smallest unit of a compound that retains the chemical characteristics of the compound; characteristics of the constituent elements are lost. ____________________ - uses symbols and subscripts to represent the composition of the molecule. Strictest sense—covalently bonded EX: ________________ – shows how the atoms are grouped and identifies important parts of the molecule EX: ____________________ – shows how all the atoms are attached within the molecule. Significance of a Chemical Formula Al2(SO4)3 IONS AND IONIC COMPOUNDS _______ - formed when electrons are lost or gained in ordinary chemical reactions; affect size of atoms dramatically __________ - (+) ions; often metals since metals lose electrons to become positively charged ________ - (—) ions; often nonmetals since nonmetals gain electrons to become negatively charged For the metals 1A through 3A, for 1B and 2B, and for the metals of group 4A, it is equal to the group number Transition metals 3B through 8B, figure a 2+ or 3+ charge (use roman numerals) Maximum number of e- gained by a nonmetal is equal to 8 minus group number of the element. Hydrogen can either gain or lose one electron, depending on the other elements it encounters Noble gases do not lose or gain electrons, except in rare cases!! ELEMENTS THAT EXIST AS MOLECULES Pure hydrogen, nitrogen, oxygen and the halogens exist as DIATOMIC molecules under normal conditions. MEMORIZE!!! Br2 I2 N2 Cl2 H2 O2 F2 P4 S8 – Carbon - diamond and graphite CHEMISTRY Page 1 of 18 CHEMISTRY Page 2 of 18 _________________ are the polyatomic ions containing oxygen. ends in –ate and –ite prefix hypo – if it contains one O less than –ite prefix per – if it contains one O more than –ate PRACTICE PROBLEMS Using these guidelines, predict possible charges for ions formed from a)K d)V b)Se e)Co c)Be f)Cs OXIDATION NUMBERS __________________ – a number assigned to an atom in a molecular compound or ion that indicates the general distribution of electrons among the bonded atoms Rules in Assigning Oxidation Numbers Oxidation Number of Pure Element = Binary Molecular Compound Less electronegative atom = More electronegative atom = Fluorine = Compounds formed from ions: Cation’s symbol is written first (on the left) Ionic or not Ionic? Ionic if one of the elements is a metal. Ionic if a metal is combined with a nonmetal. Ionic if a metal is combined with polyatomic ion PRACTICE PROBLEM Oxygen = Exceptions: Peroxides (w/ 1A, 2A metals, H2O2) = with Fluorine (Ex. OF2), = Hydrogen Chromium is a transition metal and so can form ions with at least two different charges. Write the formulas of the compounds formed between chromium and sulfur. NAMES OF CATIONS Naming Cations: Usually Metals Monatomic Metal Cation — simply the name of the metal from which it is derived. EX: Al3+ is the aluminum ion Transition metals form more than one ion; Roman Numerals inside parenthesis follow the ion’s name. EX: Cu2+ is copper (II) Mercury (I) is an exception it is Hg22+ — two Hg+ bonded together. NH4+ is ammonium As Hydrides (with metals – NaH) = Algebraic sum of the oxidation numbers of all atoms in a neutral compound = EX: KMnO4 Algebraic sum of the oxidation numbers of all atoms in a neutral compound = EX: KMnO4 Algebraic sum of the oxidation numbers of all atoms in a polyatomic ion = EX: (SO4)2Although rules 1 through 7 apply to covalently bonded atoms, oxidation numbers can also be assigned to atoms in ionic compounds NAMES OF ANIONS ________________ - add the suffix —ide to the stem of the nonmetal’s name. Halogens are called the halides. _________________ – group of covalently bonded atoms that carry a net charge; units of atoms behaving as one entity CHEMISTRY Page 3 of 18 CHEMISTRY Page 4 of 18 PRACTICE PROBLEMS Assign Oxidation Numbers to each atom in the following compounds: (IONIC) Metal (or NH4+) + Nonmetal or Polyatomic ion HCl FIXED CHARGES VARIABLE CHARGES Na3PO4 Groups IA,2A,3A,Zn, Cd, Ag Transition metals, Sn, Pb KHCO3 Rule: Name of metal + name of anion (or polyatomic ion) Examples: Ba(NO3)2 Fe2(SO4)3 MnO4Cr2O7 2- CaF2 Cu2O Al2O3 CuO MgO FeCl2 K2SO4 Fe3(PO4)2 NaCl PbSO4 Comments: Ammonium ion, NH4+, can act as the “metal” Example: CHEMISTRY Page 5 of 18 CHEMISTRY Rule: Name of metal + (Roman numeral to indicate ion’s charge) + name of anion/polyatomic ion. Examples: SnO2 Page 6 of 18 PRACTICE PROBLEMS N2F4 BCl3 P2O5 SF4 ClF3 (COVALENT) Nonmetal + Nonmetal WRITING FORMULAS This system of writing formulas is based on whether the compound had ionic or covalent bonds or is an acid. The two common methods used are: Least common multiple of charges Crisscross method RULES: (1) Prefix + name of 1st element a. No change in name b.Mono is never used for the 1st element. (2) Prefix + name of 2nd element and change the ending to –ide a. Drop the “a” or “o” on the end of a prefix if oxide is the 2nd element EXAMPLES: IONIC COMPOUNDS Metal (or NH4+) + Nonmetal or Negative Polyatomic ion Write the symbols for the ions side by side. Write the cation first. Use parentheses for polyatomic ions: EX: (SO4)21. Write the symbols for the ions side by side. Write the cation first. Use parentheses for polyatomic ions: EX: Iron (III) Oxide CO2 – N2O3 – CHEMISTRY 2. Find the least common multiple of charges. Iron (III) Oxide PREFIXES: 1- 6- 2- 7- 3- 8- 4- 9- 5- 10 3. Find the number of ions needed to reach this multiple. (You can use crisscross method as a shortcut.) The total positive charge must match the total negative charge in the compound. 4. Get rid of the charges and then write the final formula Iron (III) Oxide Page 7 of 18 CHEMISTRY Page 8 of 18 PRACTICE PROBLEMS Barium sulfide EXAMPLES Dinitrogen trioxide (2 nitrogens and 3 oxygens), formula N2O3. Phosphorus pentachloride (no prefix means 1 atom of phosphorus with 5 chlorines), formula PCl5. Calcium nitrate PRACTICE PROBLEMS Carbon dioxide Ammonium sulfate Phosphorous triiodide We don’t bother writing subscripts for one (1) ion. We ONLY use parentheses if BOTH: It is a polyatomic ion; AND We have more than one of them Always reduce subscripts to the lowest ratio by dividing them by their largest common factor. PRACTICE PROBLEMS Ammonium nitrate Cobalt (II) sulfate Nickel (II) cyanide Barium oxide Calcium hypochlorite BINARY COVALENT COMPOUND Nonmetal + Nonmetal Prefix in front of each element tells you what subscript to use Less electronegative element goes first and the second element always ends in –ide. Prefix mono is omitted for the first element in the name CHEMISTRY Page 9 of 18 Sulfur dichloride Dioxygen difluoride Xenon trioxide ACID NAMES & FORMULAS H is the first element Except for H2O and H2O2 Binary acid – contains only two different elements: Hydrogen and one of the more electronegative elements Oxyacids – acids that contain hydrogen, oxygen and a third element (usually a nonmetal) Acids are ionic formulas in which the positive ion is H+. Use as many H+ ions as the charge on the negative ion. EX: H+ and SO4 2- = H2SO4 Acids are named based on the name of the negative ion in the compound and have the suffixes –ate, –ite, and –ide. NOTE: Two elements have variations. H2SO4 – the sulfate ion changes to H2SO3 – the sulfite ion changes to H2 S – the sulfide ion changes to H3PO4 – the phosphate ion changes to CHEMISTRY Page 10 of 18 SUFFIX OF NEGATIVE ION 1. Root name + ate NAME OF ACID Root name + ic acid 2. Root name + ite Root name + ous acid 3. Root name + ide THE MOLE Mole was introduced by Wilhelm Ostwald in 1896 Mole comes from the Latin word “heap” or “pile” 1 mole = 6.022 x 1023 particles (Avogadro’s number) Molecular Mass/Weight –Formula Mass/Weight sum of the average atomic masses of all the atoms represented in the formula of any molecule, formula unit or ion # atoms x atomic mass Hydro + Root name + ic acid MOLAR MASS Mass of one mole of a pure substance Molar mass is numerically equal to formula mass 1 mole = Molar mass in grams 1 mole = 6.022 x 1023 particles (Avogadro’s Number) Molar mass of a compound can be used as a conversion factor to relate an amount in moles to a mass in grams for a given substance PRACTICE PROBLEMS H2C2O4 HF Perchloric acid Carbonic acid Sulfurous acid COMMON NAMES PAINS IN THE GLUTEUS MAXIMUS: these lovely creatures have been around longer than the naming system and no one wanted to adapt!! Water Ammonia Hydrazine Phosphine Nitric oxide Nitrous oxide (laughing gas) CHEMISTRY Page 11 of 18 PRACTICE PROBLEMS Calculate the molar mass of a) Ca3(PO4)2 b) caffeine, C8H10N4O2 c) BaCl2•2H2O CHEMISTRY Page 12 of 18 MASS-MOLE-MOLECULES CONVERSIONS Moles to Grams 4.27 mol TiO2 to grams Molecules or Formula Units to Moles 4.36 x 1025 molecules C6H5CH3 to moles Grams to Molecules Grams to Moles 50.0 g NH3 to moles 72.5 grams CHCl3 to molecules Moles to Molecules or Formula Units Molecules to Grams 0.30 mol Sr(NO3)2 to formula units 8.39 x 1023 molecules HF to grams CHEMISTRY Page 13 of 18 CHEMISTRY Page 14 of 18 DETERMINATION OF THE FORMULA OF A COMPOUND PERCENT COMPOSITION Law of constant composition states that any sample of a pure compound always consists of the same elements combined in the same proportions by mass. mass of element If mass in grams is given: % x 100 total mass If only the formula of the compound is given: mass of element % x 100 molar mass of compound A good check is to see if the results add up to 100% (rounding will cause a slight discrepancy) Your final answers should have 2 decimal places PRACTICE PROBLEM: Express the composition of each of the following compounds in terms of the mass of each element in 1.00 mole of compound and the weight percent of each element: a) Ba3(PO4)2 DETERMINATION OF EMPIRICAL FORMULAS Consist of the symbols for the elements combined in a compound, with subscripts showing the smallest whole-number ratio of the different atoms in the compound If % composition is given, assume 100 g of substance % = mass in grams of element Calculate # mole of each element (mass/atomic mass) Divide each # of mole by the smallest value to get the simplest ratio of subscripts. Multiply by an integer if needed to convert to whole number .5 x 2, .33 x 3, .25 x 4 Determine the empirical formula of a compound containing 52.11% C, 13.14% H and 34.75% O A 175 g sample of compound contains 56.15 g C, 9.43 g H, 74.81 g O, 13.11 g N, and 21.49 g Na. Find the empirical formula. b) MgSO47H2O CHEMISTRY Page 15 of 18 CHEMISTRY Page 16 of 18 Determine the empirical formula of a compound containing 40.9% carbon, 4.58% H and 54.5% O. DETERMINATION OF MOLECULAR FORMULA The actual formula of a molecular compound; gives actual # of atoms present in the compound Find empirical formula (EF) if it is not given Calculate EF Mass (same as molar mass calculation) Determine the multiple (n) – actual ratio of elements in compound 5. MF = (EF)n n Molecular Formula mass Empirical Formula mass What is the molecular formula of a compound that has an empirical formula of CH2O and a molar mass of 120.12 g/mol? The compound borazine consists od 40.29% boron, 7.51% hydrogen, and 52.20% nitrogen, and its molar mass is 80.50 g/mol. Determine the molecular formula of borazine. HYDRATES Formula units with water associated with them. The water molecules are incorporated into the solid structure. EX: CuSO45H2O, copper (II) sulfate pentahydrate. Strong heating can generally drive off the water in these salts. Once the water has been removed the salts are said to be anhydrous (without water). PRACTICE PROBLEM Cerium (III) iodide occurs as a hydrate with the composition 76.3% CeI3 and 23.7 % water. Determine the formula for the hydrate. CHEMISTRY Page 17 of 18 CHEMISTRY Page 18 of 18