CHEMISTRY The Central Science 9th Edition Chapter 3 Stoichiometry: Calculations with Chemical Formulas and Equations David P. White Prentice Hall © 2003 Chapter 3 Chemical Equations • Lavoisier: mass is conserved in a chemical reaction. • Chemical equations: descriptions of chemical reactions. • Two parts to an equation: reactants and products: 2H2 + O2 2H2O Prentice Hall © 2003 Chapter 3 Chemical Equations • The chemical equation for the formation of water can be visualized as two hydrogen molecules reacting with one oxygen molecule to form two water molecules: 2H2 + O2 2H2O Prentice Hall © 2003 Chapter 3 Chemical Equations 2Na + 2H2O 2NaOH + H2 2K + 2H2O 2KOH + H2 Prentice Hall © 2003 Chapter 3 Chemical Equations • Stoichiometric coefficients: numbers in front of the chemical formulas; give ratio of reactants and products. Prentice Hall © 2003 Chapter 3 Chemical Equations Prentice Hall © 2003 Chapter 3 Chemical Equations • Law of conservation of mass: matter cannot be lost in any chemical reactions. Prentice Hall © 2003 Chapter 3 Some Simple Patterns of Chemical Reactivity • • • • Combination and Decomposition Reactions Combination reactions have fewer products than reactants: 2Mg(s) + O2(g) 2MgO(s) The Mg has combined with O2 to form MgO. Decomposition reactions have fewer reactants than products: 2NaN3(s) 2Na(s) + 3N2(g) (the reaction that occurs in an air bag) The NaN3 has decomposed into Na and N2 gas. Prentice Hall © 2003 Chapter 3 Some Simple Patterns of Chemical Reactivity Combination and Decomposition Reactions Prentice Hall © 2003 Chapter 3 Some Simple Patterns of Chemical Reactivity Combination and Decomposition Reactions Prentice Hall © 2003 Chapter 3 Some Simple Patterns of Chemical Reactivity Combustion in Air Combustion is the burning of a substance in oxygen from air: C3H8(g) + 5O2(g) 3CO2(g) + 4H2O(l) Prentice Hall © 2003 Chapter 3 Formula Weights Formula and Molecular Weights • Formula weights (FW): sum of AW for atoms in formula. FW (H2SO4) = 2AW(H) + AW(S) + 4AW(O) = 2(1.0 amu) + (32.0 amu) + 4(16.0) = 98.0 amu • Molecular weight (MW) is the weight of the molecular formula. MW(C6H12O6) = 6(12.0 amu) + 12(1.0 amu) + 6(16.0 amu) Prentice Hall © 2003 Chapter 3 Formula Weights Percentage Composition from Formulas • Percent composition is the atomic weight for each element divided by the formula weight of the compound multiplied by 100: % Element Prentice Hall © 2003 Atoms of Element AW FW of Compound Chapter 3 100 The Mole Mole: convenient measure chemical quantities. • 1 mole of something = 6.0221367 1023 of that thing. • Experimentally, 1 mole of 12C has a mass of 12 g. Molar Mass • Molar mass: mass in grams of 1 mole of substance (units g/mol, g.mol-1). • Mass of 1 mole of 12C = 12 g. Prentice Hall © 2003 Chapter 3 The Mole The Mole Prentice Hall © 2003 Chapter 3 The Mole This photograph shows one mole of solid (NaCl), liquid (H2O), and gas (N2). Prentice Hall © 2003 Chapter 3 The Mole Interconverting Masses, Moles, and Number of Particles • Molar mass: sum of the molar masses of the atoms: molar mass of N2 = 2 (molar mass of N). • Molar masses for elements are found on the periodic table. • Formula weights are numerically equal to the molar mass. Prentice Hall © 2003 Chapter 3 Empirical Formulas from Analyses • Start with mass % of elements (i.e. empirical data) and calculate a formula, or • Start with the formula and calculate the mass % elements. Prentice Hall © 2003 Chapter 3 Empirical Formulas from Analyses Molecular Formula from Empirical Formula • Once we know the empirical formula, we need the MW to find the molecular formula. • Subscripts in the molecular formula are always wholenumber multiples of subscripts in the empirical formula Prentice Hall © 2003 Chapter 3 Empirical Formulas from Analyses Combustion Analysis • Empirical formulas are determined by combustion analysis: Prentice Hall © 2003 Chapter 3 Quantitative Information from Balanced Equations • Balanced chemical equation gives number of molecules that react to form products. • Interpretation: ratio of number of moles of reactant required to give the ratio of number of moles of product. • These ratios are called stoichiometric ratios. NB: Stoichiometric ratios are ideal proportions • Real ratios of reactants and products in the laboratory need to be measured (in grams and converted to moles). Prentice Hall © 2003 Chapter 3 Limiting Reactants • If the reactants are not present in stoichiometric amounts, at end of reaction some reactants are still present (in excess). • Limiting Reactant: one reactant that is consumed Prentice Hall © 2003 Chapter 3 Limiting Reactants Prentice Hall © 2003 Chapter 3 Limiting Reactants Theoretical Yields • The amount of product predicted from stoichiometry taking into account limiting reagents is called the theoretical yield. • The percent yield relates the actual yield (amount of material recovered in the laboratory) to the theoretical yield: Actual yield % Yield 100 Theoretica l yield Prentice Hall © 2003 Chapter 3 End of Chapter 3: Stoichiometry: Calculations with Chemical Formulas and Equations Prentice Hall © 2003 Chapter 3