# EXPERIMENT 7 Reaction Stoichiometry and Percent Yield

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1 EXPERIMENT 7 Reaction Stoichiometry and Percent Yield INTRODUCTION Stoichiometry calculations are about calculating the amounts of substances that react and form in a chemical reaction. The word stoichiometry comes from the Greek stoikheion "element" and metriā "measure." Based on the balanced chemical equation, we can calculate the amount of a product substance that will form if we begin with a specific amount of one or more reactants. Or, you may have a target amount of product to prepare. How much starting compounds are needed to prepare this amount? These are practical calculations that are done frequently by chemists. In this experiment, you will prepare copper metal from the reaction of aluminum metal with a solution of copper(ii) sulfate (cupric sulfate). From the amounts of the reactants, you will determine which reactant is the limiting reactant, and from this amount, calculate the theoretical yield of copper metal. From the actual amount of copper obtained, you can then calculate your percent yield of copper. THE CALCULATION METHOD For practically all stoichiometry calculations, we want to use the.... Fabulous Four Steps Step 1: Write the balanced chemical equation for the reaction. Step 2: Calculate the moles of "given" substance. If more than one reactant amount is given, calculate the moles of each to determine which is the limiting reactant. Step 3: Calculate the moles of "desired" substance from your answer in Step 2 using the coefficients from the balanced chemical equation. If more than one reactant was given originally, you can calculate the moles of product twice, based on the moles of each reactant. The reactant that gives the smaller moles of product is the limiting reactant. Keep this answer for Step 4. Step 4: Convert your answer in Step 3 to the units the problem asks for. Usually this is grams, but it could be volume (for gases or liquid solutions) or concentration (such as molarity, for solutions). Again, in brief: 1. Balanced reaction. 2. Moles of "given" substance(s). 3. Moles of "desired" substance such as a product. 4. Convert Step 3 answer to the units asked for. CHEM 1105 Experiment 7 1

2 SAMPLE CALCULATIONS EXAMPLE 1. How many grams of iron(iii) oxide (ferric oxide), Fe 2 O 3, are formed from the reaction of 5.00 g of iron metal with excess oxygen gas? Step 1: Balanced reaction. 4 Fe (s) + 3 O 2 (g) 2 Fe 2 O 3 (s) Step 2: Moles of "given" substance. The given substance is the iron metal, since its amount is given. moles of Fe = grams of Fe / molar mass of Fe = 5.00 g / g/mol = mol (not rounding yet). Note that gram units cancel, leaving the unit of moles for the answer moles of Fe = 5.00 g Fe X 1 mol Fe = mol Fe g Fe Step 3: Moles of "desired" substance. This is the product, ferric oxide. Here is where the balanced reaction comes in. The coefficients in the balanced reaction represent the moles of the substances that react and form. As such, balanced reactions are "in" moles by default. This is why we always have to convert amounts to moles when working stoichiometry problems. moles of Fe 2 O 3 = mol Fe X 2 mol Fe 2 O 3 = mol Fe 2 O mol Fe Step 4: Grams of Fe 2 O 3. Grams of Fe 2 O 3 = moles of Fe 2 O 3 X molar mass of Fe 2 O 3 = mol X g/mol = 7.15 g rounded to 3 significant figures. And that's it! We can also do steps 2 through 4 like a conversion problem. Once you are familiar with the steps, you can work these problems more quickly this way: 5.00 g Fe X 1 mol Fe X 2 mol Fe 2 O 3 X g Fe 2 O 3 = 7.15 g of Fe 2 O g Fe 4 mol Fe mol Fe 2 O 3 When working stoichiometry problems, always do the following: a) Write the units on all numbers. b) Check that the units cancel properly. c) Give the correct unit for the answer. d) Avoid rounding numbers too much during the calculation, or you will have roundoff error in your answer. e) Round your final answer to the correct number of significant figures. CHEM 1105 Experiment 7 2

3 EXAMPLE 2. If 10.0 g of iron metal is reacted with 15.0 g of Cl 2 gas, how many grams of ferric chloride, FeCl 3, will form? In this problem, the amounts of both reactants are given, so we will have to determine which reactant is the limiting reactant (the one that "limits" the amount of product that is formed). The other reactant is in excess amount. We'll use the Fab Four Steps just as before. Step 1: Balanced reaction. 2 Fe (s) + 3 Cl 2 (g) 2 FeCl 3 (s) Step 2: Moles of given substances. moles of Fe = 10.0 g / g/mol = mol moles of Cl 2 = 15.0 g / g/mol = mol Step 3: Moles of desired substance, FeCl 3. Since we have two given amounts, a straightforward approach to this step is to calculate the moles of FeCl 3 twice, first based on the moles of Fe and second based on the moles of Cl 2. Keep the smaller answer. The reactant that gives this smaller answer is the limiting reactant. The other reactant is in excess amount. moles of FeCl 3 = mol Fe X 2 mol FeCl 3 = mol of FeCl 3 based on Fe 1 2 mol Fe moles of FeCl 3 = mol Cl 2 X 2 mol FeCl 3 = mol of FeCl 3 based on Cl mol Cl 2 Keep this answer! Since the moles of FeCl 3 based on moles of Cl 2 is the smaller answer, Cl 2 is the limiting reactant. Iron metal is therefore in excess amount, so there will be some Fe left over as unreacted excess. Note that we might have reasonably assumed that iron metal was the limiting reactant since it was present in lesser amount in grams initially (10.0 g of Fe and 15.0 g of Cl 2 ). But it turned out that Cl 2 was the limiting reactant. The molar masses of the substances and the reaction stoichiometry come into play also, so we can't automatically assume which substance is the limiting reactant until we go through the steps as we did above. Step 4: Finally! Convert moles of FeCl 3 to grams. Grams of FeCl 3 = mol X g/mol = 22.9 g rounded to 3 significant figures. Practice makes perfect! Working stoichiometry problems properly will strengthen your skills in working many other types of chemistry problems as well. CHEM 1105 Experiment 7 3

4 PERCENT YIELD The percent yield of a reaction tells us how well the reaction worked in terms of forming a desired product. Percent Yield = Actual (Experimental) Yield of Product X 100 Theoretical (Calculated) Yield of Product Remember, Actual Over Theoretical Times 100. The unit of the amounts may be in grams or moles. Usually we use grams, since we will have weighed the product on a balance in gram units. EXAMPLE. In Example 1 above, let s say that the student obtained 6.75 g of ferric oxide product. The theoretical yield of ferric oxide calculated with the Fabulous Four Steps was 7.15 g. The percent yield of ferric oxide from the reaction is therefore, Percent Yield of Fe 2 O 3 = 6.75 g X 100 = 94.4% 7.15 g Generally, less than 100% yields are obtained. The reaction may not have sufficient time to go to completion, and if the product is transferred from on container to another, or is filtered, there is always some small loss. Therefore, the less handling, the better the yield will be. If undesired side reactions occur in addition to the desired reaction, the yield will be affected. The use of impure reactants can adversely affect the percent yield also. On the other hand, it is impossible to obtain more than a 100% yield! If your calculated percent yield is more than 100%, then, aside from weighing errors, there is some additional substance present in your product making it weigh more than it should. If a solid product is prepared in aqueous solution, incomplete drying is the usual culprit, since the wet solid, which may appear dry, will weigh more than the dry solid product. Chemists use the method of heating to constant weight to avoid this error. If other impurities are present in the product, other methods must be used to remove them, such as extraction, recrystallization, distillation, and chromatography. These techniques are often used by chemists to isolate and purify the desired product from the reaction mixture as effectively and efficiently as possible. CHEM 1105 Experiment 7 4

6 PROCEDURAL NOTES Step 2. A hydrate is a solid compound that contains trapped water molecules in the solid. In copper(ii) sulfate pentahydrate, one mole of the solid CuSO 4 has 5 moles of water molecules trapped in it. The water molecules are included in the molar mass of CuSO 4 5 H 2 O, which is g/mol. Step 4. Chloride ion facilitates the reaction of Al with CuSO 4 5 H 2 O. A convenient source of chloride ion is from hydrochloric acid, and in addition, the hydrochloric acid will react with any excess aluminum, allowing it to be separated from the solid copper product. The relevant reactions are, a) The reaction of aluminum with copper(ii) sulfate in aqueous solution. This reaction ordinarily occurs rather slowly, but when chloride ion is present, the reaction rate increases dramatically. 2 Al (s) + 3 CuSO 4 (aq) 3 Cu (s) + Al 2 (SO 4 ) 3 (aq) b) The competing reaction of aluminum with hydrochloric acid. This reaction still occurs more slowly than the above chloride-aided reaction with the reactant concentrations that are used. This reaction thus has a minimal effect on the percent yield, so the maximum amount of copper should be able to form if excess aluminum is used. 2 Al (s) + 6 HCl (aq) 3 H 2 (g) + 2 AlCl 3 (aq) Both of these reactions are single replacement reactions. Al is a more active element than Cu in the first reaction, and in the second reaction, Al is more active than the element H 2 (recall the activity series: Li > K > Ba > Sr > Ca > Na > Mg > Al > Mn > Zn > Fe > Cd > Co > Ni > Sn > Pb > H 2 > Cu > Ag > Hg > Au). On the other hand, as seen from the series, the element Cu is less active than H 2, so the copper metal product will not react with the hydrochloric acid that is present: Cu (s) + 2 HCl (aq) H 2 (g) + CuCl 2 (aq) Step 7. The methanol (methyl alcohol) wash removes additional water, facilitating complete drying of the product. Step 8. Heating the copper particles at too high of a temperature in air results in an undesirable darkening and a gain in weight, apparently due to the formation of black cupric oxide, CuO. During heating, the dry particles of copper should remain loose when stirred and should not darken in color. CHEM 1105 Experiment 7 6

7 EXPERIMENT 7 Reaction Stoichiometry and Percent Yield REPORT FORM Name Instructor Date 1. Mass of empty 150 ml beaker g 2. Mass of beaker plus CuSO 4 5 H 2 O g 3. Color of solution 4. Mass of CuSO 4 5 H 2 O [2] [1] g 5. Mass of Al foil used (small pieces) g 6. Color of solution after reaction is complete 7. Mass of beaker and copper product First weighing g (after heating and cooling) Second weighing g 8. Mass of copper metal product [7] [1] g 9. Moles of Al used mol 10. Moles of CuSO 4 5 H 2 O used mol 11. Moles of copper product based on moles of Al mol 12. Moles of copper product based on moles of CuSO 4 5 H 2 O mol 13. Limiting reactant 14. Grams of Cu product based on the limiting reactant (theoretical yield) g 15. Percent yield of Cu (2 to 3 significant figures) % CHEM 1105 Experiment 7 7

8 EXPERIMENT 7 Name Pre-Laboratory Questions and Exercises Due before lab begins. Answer in the space provided. 1. What safety precautions are cited in this experiment? 2. What it the purpose of adding hydrochloric acid to the reaction mixture? 3. A student combusted g of purified aluminum powder with excess oxygen in an oxygen atmosphere according to the reaction, 4 Al (s) + 3 O 2 (g) 2 Al 2 O 3 (s) a) What is the limiting reactant? b) How many moles of Al were used? mol of Al c) How many moles of Al 2 O 3 would form, based mol of Al 2 O 3 on the moles of the limiting reactant? d) How many moles of O 2 are required to react mol of O 2 completely with the aluminum? e) How many grams of O 2 are required to react g of O 2 completely with the aluminum? f) What is the theoretical yield of Al 2 O 3 in grams? g of Al 2 O 3 g) If the student collected grams of Al 2 O 3 product, % what was the percent yield of Al 2 O 3 obtained? CHEM 1105 Experiment 7 8

9 EXPERIMENT 7 Name Post-Laboratory Questions and Exercises Due after completing the lab. Answer in the space provided. 1. Heating the copper product at too high a temperature in an oxygen atmosphere results in the formation of copper (II) oxide, or cupric oxide, CuO. Write the balanced chemical equation for this reaction. 2. What are some reasons for obtaining a percent yield of less than 100 percent? 3. A student reacted g of Pb(NO 3 ) 2 with g of KI according to the reaction, Pb(NO 3 ) 2 (aq) + 2 KI (aq) PbI 2 (s) + 2 KNO 3 (aq) a) How many moles of Pb(NO 3 ) 2 were used? mol of Pb(NO 3 ) 2 b) How many moles of KI were used? mol of KI c) How many moles of PbI 2 would form, based on mol of PbI 2 the moles of Pb(NO 3 ) 2 used? d) How many moles of PbI 2 would form, based on mol of PbI 2 the moles of KI used? e) Which is the limiting reactant? f) What is the theoretical yield of PbI 2 in grams? g of PbI 2 g) If the student obtained grams of PbI 2 product after collecting it by filtration and drying it, what was the percent yield of PbI 2 obtained? % CHEM 1105 Experiment 7 9

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