STOICHIOMETRY Mass - Mass TUTORIAL By: Dr. Paul Gilletti Mesa Community College Modified By: Dr. Rick Moleski Scott High School 1 Background Information 2 Converting grams to moles. Determine how many moles there are in 5.17 grams of Fe(C5H5)2. Given 5.17 g Fe(C5H5)2 Goal units match mol 185.97 g Use the molar mass to convert grams to moles. = 0.0278 moles Fe(C5H5)2 Fe(C5H5)2 2 x 5 x 1.001 = 10.01 2 x 5 x 12.011 = 120.11 1 x 55.85 = 55.85 185.97 g mol 3 Stoichiometry (more working with ratios) Ratios are found within a chemical equation. 2HCl + 1Ba(OH)2 2H2O + 1 BaCl2 coefficients give MOLAR RATIOS 2 moles of HCl react with 1 mole of Ba(OH)2 to form 2 moles of H2O and 1 mole of BaCl2 4 Mole – Mole Conversions When N2O5 is heated, it decomposes: 2N2O5(g) 4NO2(g) + O2(g) a. How many moles of NO2 can be produced from 4.3 moles of N2O5? 2N2O5(g) 4NO2(g) + O2(g) 4.3 mol ? mol Units match 4.3 mol N2O5 4mol NO2 2mol N 2O 5 = 8.6 moles NO2 b. How many moles of O2 can be produced from 4.3 moles of N2O5? 2N2O5(g) 4NO2(g) + O2(g) 4.3 mol 4.3 mol N2O5 1mol O 2 2mol N 2O 5 ? mol = 2.2 mole O2 5 Mass-Mass Stoichiometry Problems Putting It All Together 6 gram ↔ mole and gram ↔ gram conversions When N2O5 is heated, it decomposes: 2N2O5(g) 4NO2(g) + O2(g) a. How many moles of N2O5 were used if 210g of NO2 were produced? 2N2O5(g) 4NO2(g) + O2(g) ? moles 210g 210 g NO2 mol NO 2 46.0g NO 2 Units match 2mol N 2O 5 4mol NO2 = 2.28 moles N2O5 b. How many grams of N2O5 are needed to produce 75.0 grams of O2? 2N2O5(g) 4NO2(g) + O2(g) 75.0 g ? grams 75.0 g O2 mol O 2 32.0 g O 2 2mol N 2O 5 1mol O 2 108g N 2O 5 mol N 2O 5 = 506 grams N2O5 7 Gram to Gram Conversions Aluminum is an active metal that when placed in hydrochloric acid produces hydrogen gas and aluminum chloride. How many grams of aluminum chloride can be produced when 3.45 grams of aluminum are reacted with an excess of hydrochloric acid? 2 Al(s) + 6HCl(aq) 2AlCl3(aq) + 3 H2(g) First write a balanced equation. 8 Gram to Gram Conversions Aluminum is an active metal that when placed in hydrochloric acid produces hydrogen gas and aluminum chloride. How many grams of aluminum chloride can be produced when 3.45 grams of aluminum are reacted with an excess of hydrochloric acid? 2 Al(s) + 6HCl(aq) 2AlCl3(aq) + ? grams 3.45 g 3 H2(g) Now let’s get organized. Write the information below the substances. 9 gram to gram conversions Aluminum is an active metal that when placed in hydrochloric acid produces hydrogen gas and aluminum chloride. How many grams of aluminum chloride can be produced when 3.45 grams of aluminum are reacted with an excess of hydrochloric acid? 2 Al(s) + 6HCl(aq) 2AlCl3(aq) + ? grams 3.45 g 3 H2(g) Units match 3.45 g Al mol Al 27.0 g Al 2 mol AlCl 3 133.3 g AlCl 3 mol AlCl 3 2 mol Al Now We must Now use Let’s the always use work molar thethe convert molar mass problem. ratio. to toconvert moles. to grams. = 17.0 g AlCl3 10 Next Topics 11 Limiting/Excess/ Reactant and Theoretical Yield Problems : Potassium superoxide, KO2, is used in rebreathing gas masks to generate oxygen. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) a. How many moles of O2 can be produced from 0.15 mol KO2 and 0.10 mol H2O? b. Determine the limiting reactant. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) Nowthe place First copy down numerical the the BALANCED information below equation! the compounds. 12 Limiting/Excess/ Reactant and Theoretical Yield Problems : Potassium superoxide, KO2, is used in rebreathing gas masks to generate oxygen. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) a. How many moles of O2 can be produced from 0.15 mol KO2 and 0.10 mol H2O? b. Determine the limiting reactant. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) 0.15 mol ? moles 0.10 mol Hide Two starting amounts? Where do we start? one 13 Limiting/Excess/ Reactant and Theoretical Yield Problems : Potassium superoxide, KO2, is used in rebreathing gas masks to generate oxygen. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) a. How many moles of O2 can be produced from 0.15 mol KO2 and 0.10 mol H2O? b. Determine the limiting reactant. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) 0.15 mol ? moles Hide 0.10 mol Based on: 0.15 mol KO2 KO2 3mol O 2 4mol KO 2 = 0.1125 mol O2 14 Limiting/Excess/ Reactant and Theoretical Yield Problems : Potassium superoxide, KO2, is used in rebreathing gas masks to generate oxygen. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) a. How many moles of O2 can be produced from 0.15 mol KO2 and 0.10 mol H2O? b. Determine the limiting reactant. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) 0.15 mol ? moles Hide 0.10 mol Based on: 0.15 mol KO2 KO2 3mol O 2 4mol KO 2 Based on: 0.10 mol H2O 3mol O 2 H2 O 2mol H O = 0.1125 mol O2 = 0.150 mol O2 2 15 Limiting/Excess/ Reactant and Theoretical Yield Problems : Potassium superoxide, KO2, is used in rebreathing gas masks to generate oxygen. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) a. How many moles of O2 can be produced from 0.15 mol KO2 and 0.10 mol H2O? Determine the limiting reactant. 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) 0.15 mol ? moles 0.10 mol Based on: 0.15 mol KO2 KO2 Based on: H2 O 3mol O 2 4mol KO 2 0.10 mol H2O 3mol O 2 H2O = excess (XS) reactant! 2mol H 2O = 0.1125 mol O2 It was limited by the amount of KO2. = 0.150 mol O2 What is the theoretical yield? Hint: Which is the smallest amount? The is based upon the limiting reactant? 16 Theoretical yield vs. Actual yield Suppose the theoretical yield for an experiment was calculated to be 19.5 grams, and the experiment was performed, but only 12.3 grams of product were recovered. Determine the % yield. Theoretical yield = 19.5 g based on limiting reactant Actual yield = 12.3 g experimentally recovered actual yield % yield x 100 theoretica l yield % yield 12.3 x 100 63.1% yield 19.5 17 Limiting/Excess Reactant Problem with % Yield 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) If a reaction vessel contains 120.0 g of KO2 and 47.0 g of H2O, how many grams of O2 can be produced? 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) ?g 120.0 g 47.0 one g Hide Based on: 120.0 g KO2 KO2 mol 3mol O 2 32.0g O 2 71.1g 4mol KO 2 mol O 2 = 40.51 g O2 18 Limiting/Excess Reactant Problem with % Yield 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) If a reaction vessel contains 120.0 g of KO2 and 47.0 g of H2O, how many grams of O2 can be produced? 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) ?g 120.0 47.0 g Hideg Based on: 120.0 g KO2 KO2 mol 3mol O 2 32.0g O 2 71.1g 4mol KO 2 mol O 2 mol H 2O 3 mol O 2 32.0g O 2 Based on: 47.0 g H2O 18.02 g H 2O 2 mol H 2O mol O 2 H2 O = 40.51 g O2 = 125.3 g O2 Question if only 35.2 g of O2 were recovered, what was the percent yield? actual 35.2 x 100 x 100 86.9% yield theoretica l 40.51 19 If a reaction vessel contains 120.0 g of KO2 and 47.0 g of H2O, how many grams of O2 can be produced? 4KO2(s) + 2H2O(l) 4KOH(s) + 3O2(g) ?g 120.0 g 47.0 g Based on: 120.0 g KO2 KO2 mol 3mol O 2 32.0g O 2 71.1g 4mol KO 2 mol O 2 = 40.51 g O2 mol H 2O 3 mol O 2 32.0g O 2 Based on: 47.0 g H2O 18.02 g H 2O 2 mol H 2O mol O 2 H2 O = 125.3 g O2 Determine how many grams of Water were left over. The Difference between the above amounts is directly RELATED to the XS H2O. 125.3 - 40.51 = 84.79 g of O2 that could have been formed from the XS water. 2 mol H 2O 18.02 g H 2O 32.0 g O 2 3 mol O 2 1 mol H 2O 84.79 g O2 mol O 2 = 31.83 g XS H2O 20