Chocolate Chip Cookies • • • • • • • • • • 2.25 cups flour 8 Tbsp butter 0.5 cups shortening 0.75 cups sugar 0.75 cups brown sugar 1 tsp salt 1 tsp baking soda 1 tsp vanilla 0.5 cups Egg Beaters 1 bag chocolate chips Chocolate Chip Cookies • 2.25 cups flour • • • How much? • • • • • • 8 0.5 0.75 0.75 1 1 1 0.5 1 Tbsp butter cups shortening cups sugar cups brown sugar tsp salt tsp baking soda tsp vanilla cups Egg Beaters bag chocolate chips What units? Of what? Chocolate Chip Cookies • • • • How much? • • • • • • 2.25 8 0.5 0.75 0.75 1 1 1 0.5 1 flour butter shortening sugar brown sugar salt baking soda vanilla Egg Beaters chocolate chips Of what? Chocolate Chip Cookies • • • • How much? • • • • • • 2.25 8 0.5 0.75 0.75 1 1 1 0.5 1 cups flour Tbsp butter cups shortening cups sugar cups brown sugar tsp salt tsp baking soda tsp vanilla cups Egg Beaters bag chocolate chips What units? Of what? Get on with it! What does this have to do with CHEMISTRY? 2.25 cups flour + 8 Tbsp butter + 0.5 cups shortening + 0.75 cups sugar + 0.75 cups brown sugar + 1 tsp salt + 1 tsp baking soda + 1 tsp vanilla + 0.5 cups Egg Beaters + chips unit substance coefficient (177ºC) 1 batch of chocolate chip cookies! (a synthesis reaction) Welcome to STOICHIOMETRY What is stoichiometry? • Composition stoichiometry deals with the mass relationships of elements in compounds. • Reaction stoichiometry involves the mass relationships between reactants and products in a chemical reaction. • All reaction stoichiometry calculations start with a balanced chemical equation. Let’s Revisit the Cookies… For 1 batch: • • • • • • • • • 2.25 cups flour 8 Tbsp butter 0.5 cups shortening 0.75 cups sugar 0.75 cups brown sugar 1 tsp salt 1 tsp baking soda 1 tsp vanilla 0.5 cups Egg Beaters The Egg Beaters I have are close to expiring! I’d like to use the rest of them in this recipe. I have 1.5 cups of Egg Beaters. How many batches of cookies can I make with that many Egg Beaters? Let’s Revisit the Cookies… For 1 batch: • • • • • • • • • 2.25 cups flour 8 Tbsp butter 0.5 cups shortening 0.75 cups sugar 0.75 cups brown sugar 1 tsp salt 1 tsp baking soda 1 tsp vanilla 0.5 cups Egg Beaters I have 1.5 cups of Egg Beaters. How many batches of cookies can I make with that many Egg Beaters? 1.5 cups E.B. 1 batch cookies x = 0.5 cups E.B. 3.0 batches of cookies Let’s Revisit the Cookies… For 1 batch: • • • • • • • • • 2.25 cups flour 8 Tbsp butter 0.5 cups shortening 0.75 cups sugar 0.75 cups brown sugar 1 tsp salt 1 tsp baking soda 1 tsp vanilla 0.5 cups Egg Beaters I have 1.5 cups of Egg Beaters. How much butter do I need to deplete (use up) the Egg Beaters? 1.5 cups E.B. 8 Tbsp butter x = 0.5 cups E.B. 24 Tablespoons of butter … Back to Chemistry • There are three types of stoichiometry problems: – Mole-Mole problems (1 conversion) – Mass-Mole problems (2 conversions) – Mass-Mass problems (3 conversions) given required Stoichiometry Problems • Stoichiometric problems are solved by using ratios from balanced chemical equations to convert the given quantity. • A mole ratio is a conversion factor that relates the amount in moles of any two substances involved in a chemical reaction. • This information is obtained from the balanced chemical equation. Mole Ratios • Example: 2 H2 O 2 H2 + O2 • The relationships between product and reactants or reactants can be expressed in the following mole ratios: Mole Ratios 2 H2 + O2 2 H2O 2 mol H 2 2 mol H 2O or 2 mol H 2O 2 mol H 2 1 mol O2 2 mol H 2O or 2 mol H 2O 1 mol O2 2 mol H 2 1 mol O 2 or 1 mol O 2 2 mol H 2 Practice • For each reaction, write all possible mole ratios. 2Al2O3 (l) 4Al(s) 3O2 (g) 2 mol Al2O3 4 mol Al or 4 mol Al 2 mol Al2O3 2 mol Al2O3 3 mol O2 or 3 mol O 2 2 mol Al2O3 4 mol Al 3 mol O2 or 3 mol O2 4 mol Al 2HgO (s) 2Hg (l) O 2 (g) 2 mol HgO 2 mol Hg or 2 mol Hg 2 mol HgO 2 mol HgO 1 mol O 2 or 1 mol O 2 2 mol HgO 1 mol O 2 2 mol Hg or 2 mol Hg 1 mol O 2 Mole-Mole Problems Example: 2 H2 O 2 H2 + O2 How many moles of water can be formed from 0.5 mol H2? 0.5 mol H2 x 2 mol H2O 2 mol H2 = 0.5 mol H2O Mole-Mole Practice 3CuSO4 + 2 Al Al2(SO4)3 + 3 Cu 1. Convert 0.5 mol CuSO4 to mol Cu 0.5 mol CuSO4 x 3 mol Cu = 0.5 mol Cu = 0.8 mol CuSO4 3 mol CuSO4 2. Convert 0.5 mol Al to mol CuSO4 0.5 mol Al x 3 mol CuSO4 2 mol Al Mass – Mole Problems • Step 1: Write a BALANCED EQUATION. • Step 2: Calculate the molar mass of your given substance and convert from mass to moles. • Step 3: Determine the mole ratio from the coefficients in the balanced equation. • Step 4: Set up the conversion and solve. Mass-Mole Problems Example: 2 H2 O 2 H2 + 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 3 CuSO4 + 2 Al + Al2(SO4)3 3 Cu Mole ratio 1. a. 13.5 g Al x 1 mol Al 3 mol CuSO4 x 26.98 g Al b. 13.5 g Al x 1 mol Al 2 mol Al x 26.98 g Al c. 13.5 g Al x 1 mol Al 26.98 g Al 0.751 mol CuSO4 = 1 mol Al2(SO4)3 = 2 mol Al x 3 mol Cu 2 mol Al = 0.250 mol Al2(SO4)3 0.751 mol Cu Mole – Mass Practice 3 Ca + 2 AlCl3 0.095 mol AlCl3 x 3 mol Ca 2 mol AlCl3 3 CaCl2 + 2 Al x 40.08 g Ca 1 mol Ca = 5.7 g Ca Mass-Mass Problems Example: 2 H2 O 2 H2 + O2 How many grams 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 x 18.02 g H2O 1 mol H2O = 54.1 g H2O Mass-Mass Practice 3 CuSO4 + 2 Al Al2(SO4)3 + 3 Cu Mole ratio 1. a. 8.5 g Al x 1 mol Al x 26.98 g Al 3 mol CuSO4 x 2 mol Al 159.61 g CuSO4 = 1 mol CuSO4 75 g CuSO4 b. 8.5 g Al x 1 mol Al 26.98 g Al x 1 mol Al2(SO4)3 2 mol Al x 342.14 g Al2(SO4)3 1 mol Al2(SO4)3 54 g Al2(SO4)3 = Mass-Mass Practice c. 8.5 g Al x 1 mol Al 26.98 g Al x 3 mol Cu 2 mol Al x 63.55 g Cu 1 mol Cu 30. g Cu =