THE HEART OF STOICHIOMETRY A BALANCED EQUATION 1 Proportional Relationships Stoichiometry mass relationships between substances in a chemical reaction based on the mole ratio Mole Ratio indicated by coefficients in a balanced equation 2 Mg + O2 2 MgO 2 Proportional Relationships 2 1/4 c. flour 1 tsp. baking soda 1 tsp. salt 1 c. butter 3/4 c. sugar 3/4 c. brown sugar 1 tsp vanilla extract 2 eggs 2 c. chocolate chips Makes 3 dozen cookies. I have 5 eggs. How many cookies can I make? 5 eggs 3 doz. 2 eggs Ratio of eggs to cookies = 7.5 dozen cookies 3 HOW TO SOLVE PROBLEMS There are four basic types of problems: Mole to mole Mole to gram Gram to mole Gram to gram 4 MOLE TO MOLE PROBLEMS X Moles A is the amount given in the problem Moles A to Moles B is the mole ratio from your equation. The coefficients are the mole ratio! X mol A mol B mol A = mol B 5 2H2 + O2 2H2O If you have 12 moles of oxygen, how many moles of water will you make? 12 mol O2 2 mol H2O 1 mol O2 (from problem) = 24 mol H2O (from equation) 6 You try one Write and balance: sodium + fluorine sodium fluoride If you have 5.50 moles of sodium, how many moles of fluorine do you need? 7 2Na + F2 2NaF If you have 5.50 moles of sodium, how many moles of fluorine do you need? 5.50 mol Na 1 mol F2 2 mol Na (from problem) = 2.75 mol F2 (from equation) 8 MOLE TO GRAM PROBLEMS You have to find the molar mass of compounds to solve these problems. X mol A mol B grams B mol A 1 mol B (from problem) (from equation) = grams B (from periodic table) 9 2Na + F2 2NaF If you have 18 moles of fluorine, how many grams of NaF will you make? First, find the g/mol of your compound Then, set up your problem. You must use labels in the problem!! Check your sig figs! 10 Find the mass of NaF, then set up the problem 23g Na + 19g F = 42g/mol NaF 18 mol F2 2 mol NaF 42 g NaF 1 mol F2 (from problem) (from equation) 1 mol NaF = 1500 g NaF (from periodic table) 11 2Na + F2 2NaF If you have 25.0 moles of Na, how many grams of fluorine will you need? 25.0 mol Na 1 mol F2 2 mol Na (from problem) (from equation) 38g F2 = 475 g F 2 1 mol F2 (from periodic table) 12 GRAM TO MOLE PROBLEMS You have to find molar mass of compounds to solve these problems, too. gram A 1 mol A gram A mol B mol A = mol B (from problem) (from periodic table) (from equation) 13 4K + O2 2K2O If you have 245g K, how many moles of K2O will you produce? 245g K 1 mol K 2 mol K2O 39 g K 4 mol K = 3.14 mol K2O 14 GRAM TO GRAM PROBLEMS These are the longest problems of all. You have to find the molar mass of several compounds to solve the problems. You must have labels in every part of your equation! 15 GRAM TO GRAM PROBLEMS Now is not the time to take shortcuts! I will mark them wrong! Do not combine any equalities or skip any equalities. My way is the only way! 16 GRAM TO GRAM PROBLEMS X grams A 1 mol A mol B grams B grams A mol A 1 mol B (from P.T.) (from equation) (from P.T.) (from problem) =gB 17 2NaOH + H2SO4 Na2SO4 + 2H2O If you have 95 grams of sodium hydroxide, how many grams of sulfuric acid will you need? First, find g/mol of both sodium hydroxide and sulfuric acid. Na = 23 2H = 1 O = 16 1 S = 32 1H= 1 4 O = 64 40g/mol 2 98g/mol 18 The set-up 95 g NaOH 1 mol NaOH 1 mol H2SO4 98 g H2SO4 40 g NaOH 2 mol NaOH 1 mol H2SO4 = 116 g H2SO4 19 Use the same information and equation to solve the following: How many grams of each product will be produced? First, find the molar mass of each product. Na = 2(23) = 46 H = 2 (1) = 2 S = 1(32) = 32 O = 4(16) = 64 O = 1(16) = 16 18g/mol 142 g/mol 20 2NaOH + H2SO4 Na2SO4 + 2H2O 95g NaOH 1 mol NaOH 40g NaOH 95g NaOH 1 mol NaOH 40g NaOH 1 mol Na2SO4 142 g Na2SO4 = 2 mol NaOH 1 mol Na2SO4 2 mol H2O 2 mol NaOH 18 g H2O 1 mol H2O = g Na2SO4 g H2O 21 Solution 168.63 g Na2SO4 42.75 g H2O 22