Chapter 9 Limiting Reactants and Percent Yield A. Limiting Reactant 1. If you are given one dozen loaves of bread, a gallon of mustard, and three pieces of ham, how many ham sandwiches can you make? 2. The limiting reactant is the reactant you run out of first. 3. The excess reactant is the one you have left over. 4. The limiting reactant determines how much product you can make 5. What is the limiting reactant of your sandwich supplies? ham 6. What is the excess reactant of your sandwich supplies? gallon of mustard B. How do you find out? 1. Do two stoichiometry problems. 2. The one that makes the least product is the limiting reagent. 3. For example Copper reacts with sulfur to form copper ( I ) sulfide. If 10.6 g of copper reacts with 3.83 g S how much product will be formed? • If 10.6 g of copper reacts with 3.83 g S. How many grams of product will be formed? Cu is • 2Cu + S Cu2S Limiting Reactant Cu2S 159.16 g Cu2S 1 mol Cu 1 mol 10.6 g Cu 63.55g Cu 2 mol Cu 1 mol Cu2S = 13.3 g Cu2S 1 mol S 3.83 g S 32.06g S 1 mol Cu2S 159.16 g Cu2S 1 mol S 1 mol Cu2S = 19.0 g Cu2S C. Clarify 1. Limiting Reactant –used up in a reaction –determines the amount of product 2. Excess Reactant –added to ensure that the other reactant is completely used up –cheaper & easier to recycle 3. Example a. Available Ingredients –4 slices of bread –1 jar of peanut butter –1/2 jar of jelly b. Limiting Reactant –bread c. Excess Reactants –peanut butter and jelly E. Calculating Limiting Reactants 1. Write a balanced equation. 2. For each reactant, calculate the amount of product formed. 3. Smaller answer indicates: –limiting reactant 4. Do Stoichiometry! 7. Still another example • If 10.3 g of aluminum are reacted with 51.7 g of CuSO4 how much copper will be produced? • How much excess reagent will remain? • Al + CuSO4 -> Al2(SO4)3 + Cu • Balanced? • 2 Al + 3 CuSO4 -> Al2(SO4)3 + 3Cu 2Al + 3CuSO4 -> Al2(SO4)3 + 3Cu 1st do Al 3mol Cu 1mol Al 63.55g Cu 10.3g Al 26.98g Al 2mol Al 1 mol Cu Now CuSO4 = 36.4g Cu 1mol 51.7g CuSO4 3mol Cu 63.55g Cu CuSO4 159.56g 3 mol 1 mol Cu CuSO4 CuSO4 =20.6g Cu So, limiting reactant? Al: 36.4g Cu CuSO4: 20.6g Cu Limiting reactant: CuSO4 Excess: Al A. Percent Yield 1. The amount of product made in a chemical reaction. 2. There are three types: a. Actual yield- what you get in the lab when the chemicals are mixed b. Theoretical yield- what the balanced equation tells what should be made c. Percent yield = Actual X 100% Theoretical 3. Details • Percent yield tells us how “efficient” a reaction is. • Percent yield can not be bigger than 100 %. measured in lab actual yield % yield 100 theoretical yield calculated on paper B. Example 1 • 6.78 g of copper is produced when 3.92 g of Al are reacted with excess copper (II) sulfate. • 2Al + 3 CuSO4 Al2(SO4)3 + 3Cu • What is the actual yield? • What is the theoretical yield? • What is the percent yield? 2Al + 3 CuSO4 Al2(SO4)3 + 3Cu Actual yield? 6.78g Why? “cause it told me already!!!! Theoretical yield? Stoichiometry!!!! 1mol Al 3 mol Cu 63.55g Cu 3.92g Al 26.98g Al 2mol Al 1 mol Cu = 13.85g Cu So, Theoretical yield is 13.85g Cu What is percent yield? Actual yield X 100% Theoretical yield 6.87g Cu X 100% = 48.95% 13.85g Cu Example 2 • When 45.8 g of K2CO3 react with excess HCl, 46.3 g of KCl are formed. Calculate the theoretical and % yields of KCl. K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g ?g actual: 46.3 g K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g ?g actual: 46.3 g Theoretical Yield: 45.8 g 1 mol 2 mol 74.55 K2CO3 K2CO3 KCl g KCl = 49.4 138.21 g 1 mol 1 mol g KCl K2CO3 K2CO3 KCl K2CO3 + 2HCl 2KCl + H2O + CO2 45.8 g 49.4 g actual: 46.3 g Theoretical Yield = 49.4 g KCl % Yield = 46.3 g 49.4 g 100 = 93.7% Yet another example If 36.8g of C6H6 react with excess of Cl2 And the actual yield of C6H5Cl is 38.8g, what is the percent yield? 1st find theoretical yield of C6H5Cl 1 mol 1mol 112.5g 36.8g C6H6 C6H5Cl C6H5Cl C6H6 78.06g 1mol 1mol C6H6 C6H6 C6H5Cl = 53.03g C6H5Cl Percent yield 38.8g X 100% = 73.17% 53.03g One more time! If 1.85g of Al react with excess CuSO4 to produce 3.70g of Cu, what is the percent yield? Al + CuSO4 -> Al2(SO4)3 + Cu Balance 2Al + 3CuSO4 -> Al2(SO4)3 + 3Cu Now find theoretical yield 2Al + 3CuSO4 -> Al2(SO4)3 + 3Cu 1mol Al 3mol Cu 1.85g Al 26.98g Al 2mol Al 63.55g Cu 1mol Cu = 6.54g Cu Now percent yield 3.70g 6.45g X 100% = 57.36%