STOICHIOMETRY TUTORIAL 1 1 (1-2-3) General Approach For Problem Solving: 1. Clearly identify the Goal or Goals and the UNITS involved. (What are you trying to do?) 2. Determine what is given and the UNITS. 3. Use conversion factors (which are really ratios) and their UNITS to CONVERT what is given into what is desired. 2 2 Sample problem for general problem solving. Sam has entered into a 10 mile marathon. Use ALL of the following conversions (ratios) to determine how many inches there are in the race. 5280 ft = 1 mile; 12 inches = 1 ft 1. What is the goal and what units are needed? Goal = ______ inches 2. What is given and its units? 10 miles 3. Convert using factors (ratios). 10 miles Given Units match = 633600 inches Goal Convert 3 Menu 3 Sample problem #2 on problem solving. A car is traveling at a speed of 45 miles per hr (45 miles/hr). Determine its speed in kilometers per second using the following conversion factors (ratios). 1 mile = 5280 ft; 1 ft = 12 in; 1 inch = 2.54 cm; km = 1 x 103; cm = 1 x 10-2m; 1 hr =60 min; 1 min = 60 s Goal Given = 0.020 This is the same as putting k over k c cancels c m remains km s Units Match! 4 4 Converting grams to moles. Determine how many moles there are in 5.17 grams of Fe(C5H5)2. Given Goal units match 5.17 g Fe(C5H5)2 = 0.0278 Use the molar mass to convert grams to moles. 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 5 5 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 6 6 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 = 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 ? mol 4.3 mol N2O5 = 2.2 mole O2 7 gram ↔ mole and 7 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 Units match 210 g 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 = 506 grams N2O5 8 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) + 3 H2(g) First write a balanced equation. 9 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) Now let’s get organized. Write the information below the substances. 10 10 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 = We Now Now Let’s must use use work the always thethe molar molar problem. convert mass ratio.to convert moles. to grams. 17.0 g AlCl3 11 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 BALANCED the information below equation! the compounds. 12 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 one Two starting amounts? Where do we start? 13 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 = 0.1125 mol O2 14 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 0.10 mol Hide Based on: 0.15 mol KO2 KO2 Based on: 0.10 mol H2O H2O = 0.1125 mol O2 = 0.150 mol O2 15 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: H2O = 0.1125 mol O2 It was limited by the amount of KO2. 0.10 mol H2O = 0.150 mol O2 H2O = excess (XS) reactant! What is the theoretical yield? Hint: Which is the smallest amount? The is based upon the limiting reactant? 16 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 17 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 = 40.51 g O2 18 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 = 40.51 g O2 Based on: 47.0 g H2O H2O = 125.3 g O2 Question if only 35.2 g of O2 were recovered, what was the percent yield? 19 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 = 40.51 g O2 Based on: 47.0 g H2O H2O = 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. 84.79 g O2 = 31.83 g XS H2O 20 20
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