Chemical Equations Formulae, names, equations, moles and stoichiometry Learning objectives Apply conservation of matter to balance chemical equations Apply the mole concept to chemical reactions Use chemical equations to predict molar quantities of reactants and products The chemical equation aA + bB = cC + dD coefficient Reactant side ELEMENT or COMPOUND Product side The Law of Conservation of Matter states that matter is neither created nor destroyed All the atoms on the left must be the same as those on the right Chemical book-keeping The key to writing correct equations is to ask the question, “Have I gained or lost any atoms?” Another thing is to put down the correct formula for each reactant or product In the reaction of hydrogen with oxygen to produce water, the reactants are the elements H2 and O2, and the product is H2O The big number multiplies every atom after it Count the atoms: 4 H and 2 O The subscript only multiplies the atom before it 4 H and 2 O Balance the equations A method of trial and error CH4 + O2 = CO2 + H2O Try these C3H8 + O2 = CO2 + H2O N2 + H2 = NH3 Working with equations Predict how much product is obtained from given amount of reactant Predict how much reactant is needed to give required amount of product Predict how much of one reactant is required to give optimum result with given amount of another reactant Relating moles, masses and molecules The roadmap Equations are in moles, but we measure in grams Three conversions required: 1. Must convert grams A to moles A using molar mass 2. Use coefficients in equation to get moles B from moles A 3. Convert moles B to grams B using molar mass Mass A Mass/molar mass Moles A Mole:mole ratio Moles B Moles x molar mass Mass B Types of problems: Moles A → moles B aA + bB = cC + dD Mole:mole ratio: a mol A ≡ b mol B moles B moles A Mass A Mass/molar mass Moles A Mole:mole ratio b mol B / mol A a Moles B Moles x molar mass Mass B Moles A → mass B 1. Convert moles A → moles B: Mole:mole ratio: moles B moles A b mol B / mol A a 2. Convert moles B → mass B using molar mass B Mass A Mass/molar mass Moles A Mole:mole ratio Moles B Moles x molar mass Mass B Mass A → mass B 1. Mass A → moles A using molar mass A 2. Moles A → moles B using mole:mole ratio 3. Moles B → mass B using molar mass B Mass A Mass/molar mass Moles A Mole:mole ratio Moles B Moles x molar mass Mass B Summary of stoichiometry problems Maximum of three conversions required 1. Must convert grams A to moles A using molar mass 2. Use coefficients in equation to get moles B from moles A 3. Convert moles B to grams B using molar mass Maximum of three pieces of information required 1. Molar mass of given substance (maybe) 2. Molar mass of target substance (maybe) 3. Balanced chemical equation (always) Molar mass Cl2 = 35.5 x 2 = 71.0 g/mol Molar mass NaOH = 23.00 + 16.00 + 1.01 = 40.01 g/mol Work this example CH4 + 2O2 = CO2 + 2H2O What mass of CO2 is produced by the complete combustion of 16 g of CH4 Atomic weight H = 1, C = 12, O = 16 44 g