January 26, 2014 Ch 12: Stoichiometry Relationships in chemical reactions Stoichiometry: -The study of the quantitative relationships between the amount of reactants used and the products formed in a chemical reaction -based on Law of Conservation of Mass -total mass of reactants=total mass of products. Mole Ratios Note: Any set of 2 coefficients can be set up as a conversion factor! 4Al(s)+3O2(g) 2Al2O3(s) If we start with 4 mole Al....we will get 2 mole Al2O3 Therefore: 4 mol Al=2 mol Al2O3 Reaction Stoichiometry Problems Type 1: Given and unknown quantities are in moles: (Mole-Mole) Type 2: Given is an amount in moles and the unknown is mass expressed in grams. (Moles-Grams) Type 3: Given is a mass in grams and the unknown is in moles. (Grams-Moles) Type 4: Given is in grams and unknown is a mass in grams. (Mass-Mass) Type 5: Given is liters and unknown is liters. (Volume-Volume) Flip Chart Mols A Mols B Mols B closed Mols A 1 mol A Grams A ___ g A Mols B Mols A Liters A 1 mol A 22.4 L A ___ g B 1 mol B Grams B 22.4 L B Liters B 1 mol B open January 26, 2014 Section 12.2 Chemical Calculations In chemical calculations, mole ratios are used to convert between moles of reaction and moles or product using mole ratios. Writing and Using Mole Ratios N2(g) + 3H2(g) 2NH3(g) 1. Mole-Mole calculation #1 How many moles of ammonia are produced when 0.60 mol of nitrogen reacts with hydrogen? N2(g) + 3H2(g) 2NH3(g) Mole ratios: 1 mol N 3 mol H 2 2 2 mol NH 1 mol N 2 3 3 mol H 2 mol NH 2 3 1. Mole-Mole calculation #2 In a spacecraft, the carbon dioxide exhaled by astronauts can be removed by a reaction with lithium hydroxide, LiOH, according to the following chemical reaction. CO2(g) + 2LiOH(s) 2. Mole-Mass Problem #1 What mass of carbon dioxide, in grams, is needed to react with 3.00 mol of water in the photosynthetic reaction given? 6CO2(g) + 6H2O(l) C6H12O6(s) + 6O2(g) Li2CO3(s) + H2O(l) How many moles of LiOH are required to react with 20 moles of carbon dioxide, the average amount exhaled by a person each day? 3.00 mol H2O x 6 mol CO2 x 44.0 g CO2= 132 g CO2 2. Mole-Mass Problem #2 2. Mole-Mass Problem #3 What is the mass of SiC formed from 2 mol of carbon? SiO2+ 3C SiC + 2CO 6 mol H2O 1 mol CO2 How many grams of nitrogen can be produced from the decomposition of 0.5 mol NaN3? 2NaN3 2Na + 3N2 January 26, 2014 3. Mass-Mole Problem #1 2NaCl + 2H2O 2NaOH + Cl2 + H2 250 g NaCl will produce how many moles of chlorine gas? 4. Mass-Mass Problem #1 Stannous fluoride is used in some toothpastes. It is made by the reaction of tin with hydrogen fluoride according to the following equation. Sn(s) + 2HF(g) SnF2+ H2(g) How many grams of SnF2 are produced from 30.0 grams of HF with tin? 4. Mass-Mass Problem #2 Milk of magnesia, a suspension of Mg(OH)2 in water reacts with stomach acid, HCl in a neutralization reaction. What is the balanced equation? What mass in grams of MgCl2 will be produced if 3.00 g of Mg(OH)2 reacts? Section 12.3 Limiting Reagent and Percent Yield Limiting Reagent: the reagent that determines the amount of product that can be formed by a reaction. Excess Reagent: The reactant that is not completely used up in a reaction 5. Mass-Volume Problem #1 How many liters of hydrogen gas are required to react with oxygen gas to form 50.0 g of water? January 26, 2014 Finding the Limiting Reagent Steps: 1. Turn mass (g) to moles. (If needed) 2. Write mole ratio of reactants in the problem. 3. Compare mole ratio from equation to mole ratio from problem and determine which in excess and which is limited. Finding the Limiting Reagent Practice Zinc citrate, Zn3(C6H5O7)2 is an ingredient in toothpaste. It is synthesized by the reaction of zinc carbonate with citric acid. 3ZnCO3(s) + 2H3C6H5O7(aq) Zn3(C6H5O7)2(aq) + 3H2O(l) + 3CO2(g) Questions: 1. If there is 1 mol of zinc carbonate and 1 mol of citric acid which one is the limiting reactant? Finding the Limiting Reagent Silicon dioxide (quartz) is usually quite un-reactive 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 reagent? Finding the Limiting Reagent continued: 15.0 g of Copper and 15.0 g of HCl react to form CuCl2 and hydrogen gas. Cu(s) + 2HCl CuCl (aq) + H (g) 2 2 Questions: 1. Which reactant is limiting? 2. How many grams of H2 is produced? 3. How much excess Cu will be left over? 2. If there is 6 mol of zinc carbonate and 10 mol of citric acid which reactant is in excess? 3. How many moles of zinc citrate is produced under the conditions of number 2. Percent Yield Calculations Theoretical Yield The maximum amount of product that can be produced by a given amount of reactant. Note: A chemical reaction rarely produces this amount. Actual Yield The quantity that is recovered in the lab. Percent Yield % yield: the ratio of the actual yield to the theoretical yield expressed as a percent. January 26, 2014 Steps for finding percent yield: 1. Balance the chemical equation 2. Find the limiting reagent 3. Find the theoretical yield (Stoichiometric Conversion!) 4. Find the actual yield (Lab) 5. Find the percentage yield Example Methanol can be produced through the reaction of CO and We need to calculate the theoretical yield from the balanced equation. 75.0 g CO x 1 mol CO x 1 mol CH3OH x 32.0 g CH3OH 28.0 g CO 1 mol CO 1 mol CH3OH = 85.7 g H2 in the presence of a catalyst. CO(g) + 2H (g) 2 CH OH(l) 3 If 75.0 g of CO reacts to produce CH3OH, what is the percent yield of CH3OH? Actual yield= 68.4 g Percent Yield Example Quicklime, CaO, can be prepared by roasting limestone, CaCO3, according to the following reaction. CaCO3(s) Δ CaO(s) + CO2(g) When 2.00 x 103 g CaCO3 are heated, the actual yield of CaO is 1.05 x 103 g. What is the percentage yield? (93.8%) % yield= 68.4 g/ 85.7 g x 100%= 79.8%
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