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The Atomic Theory Lavoisier's law of conservation of mass: in a chemical reaction, the mass of the products equals the mass of the reactants. Proust's law of definite proportions: a pure chemical compound always contains exactly the same proportion of elements by mass. The Atomic Theory Dalton's law of multiple proportions: If two elements form more than one compound between them, then the ratios of the masses of the second element which combine with a fixed mass of the first element will be ratios of small whole numbers. The Atomic Theory Gay-Lussac's law of combining volumes: When gases react together to form other gases, and all volumes are measured at the same temperature and pressure the ratio between the volumes of the reactant gases and the products can be expressed in simple whole numbers. The Structure of the Atom The Rutherford model of the atom proton electron neutron The Structure of the Atom Isotopes 12 6 C Carbon-12 13 6 C Carbon-13 14 6 C Carbon-14 Average Atomic Mass How much do atoms weigh? Average Atomic mass calculations (more often used): Average atomic mass = fraction1×atomic mass1 +fraction2 ×atomic mass2 … or Average atomic mass = abundance 1×atomic mass1 +abundance 2 ×atomic mass2 … The Structure of the Atom How can atoms be counted? We count particles by converting masses into numbers of particles using the 'mole': 1 mole is the number of particles in 12 exactly 12.0000000... grams of 6C This number is known as Avogadro's number 23 and is equal to 6.02214179×10 The Structure of the Atom How can atoms be counted? The molar mass of a substance is then the mass of one mole of the substance. Molar mass of 12 6 Molar mass of 1 1 1 C=12.000000…g H=?g Atomic mass 1H=1.00782503u 12 Atomicmass 6C =12.000000 u The Structure of the Atom Ions Electrons can be removed or added to neutral atoms to make anions or cations respectively. Neutral atom Cation The Structure of the Atom Ions Electrons can be removed or added to neutral atoms to make anions or cations respectively. Neutral atom Anion The Periodic Table NonMetals Metals Chemical Compounds Molecular Compounds: Discrete aggregates of atoms. ●Held together by covalent bonds consisting of shared pairs of electrons ● Water Ammonia Methane Chemical Compounds Ionic Compounds: Groups of oppositely charged atoms or polyatomic species held together by electrostatic forces. No discrete, identifiable molecules. Sodium Chloride Chemical Compounds Molecular Compounds Empirical Formula: shows the type of atoms in the molecule and their relative numbers. Molecular Formula: shows the type of atoms in the molecule and their actual numbers. Hydrogen peroxide: Hydrazine: empirical: HO molecular: H2O2 empirical: NH2 molecular: N2H4 Chemical Compounds Molecular Compounds Structural Formula: shows the type of atoms in the molecule, their actual numbers and how they are connected. Water: Chemical Compounds Mass Percent Composition A relative measure of the masses of the elements in a compound. ● Lavoisier's original estimate of the composition of water was 85% oxygen and 15% hydrogen by mass. Chemical Compounds Determining Empirical Formulas Recall that the empirical formula gives us only the ratio of atoms to each other in a compound. The problem in finding empirical formulas is then generally “how do we determine the ratios of atom A to atom B (to atom C ... etc.) in our compound”. Chemical Compounds Determining Empirical Formulas 1. Use the given % composition, or determine what the %composition is and then find the mass of each element in a 100 g sample of the substance. 2. For each elemental mass, determine the number of mols of the element in the 100 g sample using the corresponding atomic mass from the periodic table. Chemical Compounds Determining Empirical Formulas 3. If necessary, divide each mol quantity by the smallest of the numbers of mols to get whole numbers. If any fractions result, multiply all results by the appropriate number to obtain all whole numbers. 4. Use the whole numbers from step 3 to generate an empirical formula. Chemical Compounds Combustion Analysis Chemical Compounds Oxidation States The idea of the oxidation state or oxidation number comes about from considering “what if all compounds were ionic and electrons were completely transferred from one atom to another”. Thus there would be an identifiable charge on each atom in the molecule ... it is this 'what if' charge that is referred to as the oxidation state or oxidation number. Chemical Compounds Chemical Equations The chemical equation is a shorthand description of a reaction that gives the molecular formulas of all of the reactants and products: 2H2(g) +O2(g) → 2H2 O(g) reactants products Chemical Compounds How many neutrons are in the nucleus of a sulfur-33 atom? Mass number = number of protons + number of neutrons for sulfur-33: number of protons =16 mass number =33 number of neutrons =33−16=17 Chemical Compounds The U.S. Food and Drug Administration (FDA) recommends that a person consume less then 2.4 g of sodium per day. What mass of sodium chloride ( in grams) can you consume and still be within the FDA guidelines? Sodium chloride is 39% sodium by mass. 39g Na 2.4g Na = 100g NaCl x gNaCl x= 2.4g Na x 100gNaCl =6.2g NaCl 39 gNa Chemical Compounds How many atoms of hydrogen are in 3.6 mols of C9H8O4? moles of hydrogen =3.6×8 =29 23 atoms of hydrogen =29 x 6.023 x 10 = 1.747 x 1025 Chemical Compounds It was found that 56g of iron combined with 32g of sulfur. Calculate the empirical formula of the compound formed. 1 moles Fe=56g× 55.85g/ mol = 1.0 mol 1 moles S=32g× 32.07g/ mol = 1.0 mol Chemical Compounds 1.0 1.0 empirical formula is FeS mole ratio Fe to S= Chemical Compounds A pure compound was found on analysis to contain 31.9% potassium, 28.9% chlorine and 39.2% oxygen. Calculate its empirical formula. In a 100g sample there will be 31.9g K, 28.9g chlorine and 39.2g oxygen. Chemical Compounds Example Calculations 1 moles K=31.9 g× 39.10g / mol = 0.815mol 1 moles Cl=28.9 g× 35.45g / mol = 0.815mol 1 moles O=39.2 g× 16.00g/ mol =2.45 mol Chemical Compounds Dividing by the smallest number, 0.815, gives a K:Cl:O ratio of 1:1:3 empirical formula: KClO3 Chemical Compounds Name the compounds: Cr2O3: MoS2: K2SO3: Fe2(SO4)3: SiCl4: P4O10: KHCO3: chromium(III) oxide molybdenum(IV) sulfide potassium sulfite iron(III) sulfate silicon tetrachloride tetraphosphorus decaoxide potassium hydrogen carbonate Chemical Compounds A metal sulfide, MS2, is 40.06% by mass sulfur. What is the identity of the metal? One mole of MS2 will have two mols of sulfur atoms in it and one mol of the metal, M. Two mols of sulfur has a mass of 32.07 x 2 = 64.14 g, which represents 40.06% of the mass of one mole of MS2. Chemical Compounds We can now determine what the mass of one mol of MS2 will be: 64.14g 40.06 = mol x g/mol 100 100×64.14 x= g/mol 40.06 = 160.1 g/mol Chemical Compounds mass of M in one mole of MS2 =160.1g−64.14 g = 95.96g Referring to the periodic table we find that the element with this molar mass is molybdenum. References 1.N.J. Tro, Chemistry: A Molecular Approach, Pearson-Prentice Hall, 2008. (your text!) 2.Extra problems at http://chem4823.usask.ca/chem112