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Chapter 8 Sections 5 & 6 Limiting Reactant, Theoretical Yield, and Percent Yield Limiting Reactants • In a laboratory, a reaction is rarely carried out with exactly the required amounts of each of the reactants. In a most cases, one or more reactants is present in excess. • Once one of the reactants is used up, no more products can be formed. • The substance completely used up first in a reaction is called the limiting reactant. Limiting Reactant • Limiting Reactant -The reactant that limits the amounts of the other reactants that can be combined and the amount of product that can form in a chemical reaction. • Excess Reactant -The substance that is not used up completely in a reaction. Bicycle Example: If I have: 12 frames, 10 handlebars, & 16 wheels • How many bicycles can I build? • What limits the # of bicycles? • After I build all the bikes, what excess parts and how many of each remain? Limiting Reactant Problem #1 • Silicon dioxide (quartz) is usually quite unreactive, but reacts readily with hydrogen fluoride according to the following equation: • SiO2 + 4HF → SiF4 + 2H2O • If 2.0 mol of HF are exposed to 4.5 mol of SiO2, which is the limiting reactant? Solution 2.0 mol HF x 1 mol SiO2 4 mol HF • = 0.5 mol of SiO2, needed • We have 4.5 mol of SiO2 • AND, 4.5 – 0.5 = 4.0 mol excess SiO2 • Therefore, HF is the limiting reactant Problem #2 3Fe + 4H2O → Fe3O4 + 4H2 a. When 36.0g of H2O is mixed with 167g Fe, which is the limiting reactant? b. What mass in grams of black iron oxide (Fe3O4) is produced? c. What mass in grams of excess reactant remains when the reaction is completed? Solution (part a): 36.0g H2O x 1 mol H2O x 3 mol Fe 18.016g H2O 4 mol H2O = 83.7g Fe, needed Have 167g Therefore, H2O is the limiting reactant x 55.85g Fe 1 mol Fe Solution (part b): What mass in grams of black iron oxide (Fe O ) is 3 4 produced? • Start with the limiting reactant!! 36.0g H2O x 1 mol H2O x 1 mol Fe3O4 x 231.55g Fe3O4 18.016g H2O 4 mol H2O 1 mol Fe3O4 = 116g Fe3O4 Solution (part c): What mass in grams of excess reactant remains when the reaction is completed? 167g Fe - 83.7g Fe = 83.3 g Fe Theoretical Yield • The maximum amount of product that can be produced from a given amount of reactant • The amount calculated in stoichiometry problems is the theoretical yield. *In most cases, the amount actually produced in a chemical reaction is less than the theoretical yield. Homework • Read p. 257-264 • Do p. 276 #46, 48, & 52 Actual Yield • The amount of a product obtained from a reaction • To determine the efficiency of a reaction, chemists calculate the percent yield – the ratio of the actual yield to the theoretical yield, multiplied by 100 % Yield = actual yield x 100 theoretical yield Example 1: • The theoretical yield of a reaction is 25.0g, but when doing the reaction the student was only able to collect 22.8g. What is the percent yield? 22.8g x 100 25.0g = 91.2% Example 2: C6H6 (l) + Cl2 (g) → C6H5Cl (s) + HCl (g) • When 36.8g C6H6 of react with an excess of Cl2, the actual yield of C6H5Cl is 38.8g. What is the Percent Yield of C6H5Cl? 36.8g C6H6 x 1 mol C6H6 x 1 mol C6H5Cl x 112.55g C6H5Cl 78.108g C6H6 1 mol C6H6 1 mol C6H5Cl = 53.03g C6H5Cl , theoretical yield % Yield = 38.8g x 100 53.03g = 73.2% Homework • Read pages 257-264 • Answer question p. 276 #60, 62 & 64