Quantities in Chemical Reactions STOICHIOMETRY PROBLEMS Section 5.4 What is Stoichiometry? • The study of quantitative relationships within chemical reactions • A balanced equation is the key to stoichiometry! • Tools you’ll need for this chapter: – Writing proper formulas and balanced equations – Finding molar mass – Converting from mass to moles and vice versa Balanced Reaction Equations and the Mole Ratio • Consider this balanced reaction equation: 4 Al(s) + 3 O2(g) → 2 Al2O3(s) The coefficients of this reaction represent: - the number of reacting PARTICLES or - the number of reacting MOLES These numbers are FIXED, the ratio of reacting substances NEVER changes. Stoichiometry Problems • There are three types of stoichiometry problems we will encounter: – Mole-Mole problems (1 conversion factor) – Mass-Mole problems (2 conversion factors) – Mass-Mass problems (3 conversion factors) given required Mole-Mole Problems • Step 1: Write a BALANCED EQUATION • Step 2: Determine the mole ratio from the coefficients in the equation. – Mole ratio = moles of required substance moles of given substance • Step 3: Multiply the amount of moles of the given substance by the mole ratio Mole-Mole Problems Example: 2 H2 + 2 H2O O2 How many moles of water can be formed from 0.5 mol H2? 2 mol H O 0.5 mol H2 x 2 2 mol H2 = 0.5 mol H2O Mole-Mole Practice 3 CuSO4 + 2 Al Al2(SO4)3 + 3 Cu How many moles of copper(II) sulfate will react with 0.5 moles of aluminum? Mole ratio 0.5 mol Al x 3 mol CuSO4 2 mol Al = 0.8 mol CuSO4 Mass-Mole Problems Example: 2 H2 + O2 2 H2 O How many moles of water can be formed from 48.0 g O2? Setting up the given information 2 H2 + 2 H2O O2 Mass Mass 48.0g Moles Mole Ratio Moles ? Mass-Mole Problems • Step 1: Write a BALANCED EQUATION. • Step 2: Convert the mass of your given substance to moles using molar mass. • Step 3: Determine the moles of your required substance using the mole ratio. Setting up the given information 2 H2 + 2 H2O O2 Mass Mass 48.0g Step 2: M = 32.00g/mol Moles Mole Ratio Step 3 Moles ? Step 1 Mass-Mole Problems Example: 2 H2 + 2 H2 O O2 How many moles of water can be formed from 48.0 g O2? 48.0 g O2 x 1 mol O2 32.00 g O2 x 2 mol H2O 1 mol O2 = 3.00 mol H2O Mass-Mole Practice How many moles of aluminum sulphate can be produced from 13.5 g of aluminum? 3 CuSO4 + 2 Al Al2(SO4)3 + 3 Cu Mole ratio 13.5 g Al x 1 mol Al 26.98 g Al x 1 mol Al2(SO4)3 = 0.250 mol Al2(SO4)3 2 mol Al Mass-Mole Practice 3 Ca + 2 AlCl3 3 CaCl2 + 2 Al How many moles of calcium chloride will be produced if 5.7g of calcium is used up in the reaction? Mass-Mole Practice 3 Ca + 2 AlCl3 3 CaCl2 + 2 Al How many moles of calcium chloride will be produced if 5.7g of calcium is used up in the reaction? 5.7 g Ca x 1 mol Ca 40.08 g Ca x 3 mol CaCl2 3 mol Ca = 0.14 mol CaCl2 Mass-Mass Problems Example: 2 H2 + O2 2 H2 O How many grams of water can be formed from 48.0 g O2? Setting up the given information 2 H2 + 2 H2O O2 Mass ? Mass 48.0g Step 2: M = 32.00g/mol Moles Step 1 Step 4: M = 18.02g/mol Mole Ratio Step 3 Moles Mass-Mass Problems Example: 2 H2 + O2 2 H2 O How many grams of water can be formed from 48.0 g O2? 48.0 g O2 x 1 mol O2 x 2 mol H2O x 18.02 g H2O = 54.1 g H2O 32.00 g O2 1 mol O2 1 mol H2O Mass-Mass Practice 3 Ca + 2 AlCl3 3 CaCl2 + 2 Al How much aluminum is produced (in grams) when 1.9g of calcium reacts with aluminum chloride? Mass-Mass Practice 3 Ca + 2 AlCl3 3 CaCl2 + 2 Al How much aluminum is produced (in grams) when 1.9g of calcium reacts with aluminum chloride? 1.9 g Ca x 1 mol Ca 40.08 g Ca x 2 mol Al 3 mol Ca x 26.98 g Al 1 mol Al 0.85 g Al =