Homework: p. 262 #31-33, p. 264 # 34-37, p. 270 #1-3 Theoretical Yield = The maximum amount of product that cold be formed from given reactants. --Theoretical yield is the answer from the stoichiometry calculation = maximum possible amount assuming reactions goes to 100% completion ---Number based upon the “theoretical” mathematical equation – no experiments were conducted. Actual Yield = The amount of product that actually forms when the reaction is carried out in the lab. --Due to a variety of factors, the actual amount will ALWAYS be less than the theoretical yield. ---In real life, we never get as much as we anticipate, this “actual” amount from the lab experiment. Percent Yield = The ratio of the actual yield to the theoretical yield expressed as a percentage. Percent Yield = Actual , Theoretical x 100 Percent Purity= When we make something in a chemical reaction, and separate it from the final mixture, it will still have small amounts of other substances mixed with it. It will impure. Percent Purity= mass of pure product x 100 Mass of impure product EXAMPLE) How many grams of hydrofluoric acid (HF) are required to react completely with 23.68 grams of calcium hydroxide in the following reaction? _1_ Ca(OH)2 + __2_ HF __1_ CaF2 + __2_H2O 1 mol Ca(OH)2 2 mol HF 20.01 g HF 23.68 g Ca(OH)2 x ------------------ x ----------------- x ------------------ = 12.79 g HF 74.10 g Ca(OH)2 1 mol Ca(OH)2 1 mol HF Based on the stoichiometry of this problem, the Theoretical Yield for this problem is 12.79 g HF. But, when this experiment was conducted, an Actual Yield of only 10.41 g HF was collected. Using the equation for percent yield, the Percent Yield of this experiment was 81.39%. 10.41g HF , x 100 = 81.39% Actual , x 100 = Percent Yield = 12.79g HF Theoretical FACTORS THAT AFFECT YIELD 1) Competing reactions 2) Reaction rates 3) Purity of the reactants 4) Lab techniques used EXPLANATION EXAMPLE A reaction that occurs along with the principal reaction and that involves the reactants and/or products of the principal reaction. How fast the reaction occurs (can be affected by temperature, pressure, surface area, reaction vessel conditions). 2P + 3Cl2 2PCl3 PCl3 + Cl2 PCl5 (Cl2 and PCl3 are being consumed in this side reaction). A slow reaction does not go to completion and reaction products are collected too soon. If you assume your reactants are pure when they are not, your actual yield will be much less than your calculated theoretical yield. Reactants may not be pure (contaminated with other chemicals). How you carry out the laboratory (techniques and equipment used). Impure reactants contain contaminants. Incorrect theoretical yield calculations are based on impure reactants and the mass of the impurity is not considered. Improper lab techniques reduce actual product yield. Some of the product may cling to the reaction vessel, stirring rods, spatulas, or other equipment. STEPS TO DETERMINING PERCENTAGE YIELD: Step 1. You must have a balanced chemical equation for the reaction. Step 2. From the weights of the reactants and reagents, calculate the moles of each. Step 3. Determine which of the reactants or reagents is the limiting reagent. Step 4. From the moles of limiting reagent and the balanced equation, calculate the number of moles of product that could theoretically be produced. Step 5. From the theoretical moles of product, calculate the theoretical yield in grams. Step 6. Percent yield = [actual yield (grams) / theoretical yield (grams)] * 100% Percent Yield Most reactions do not go to completion, and so the actual yield is less than the percent yield. The percent yield is calculated as actual yield Percent yield = 100% theoretical yield ___________________________________________________________________________ Exercises: Use your own paper if you want more space. 1. Ammonia is produced by the reaction 3 H2(g) + N2(g) 2 NH3(g) (a) If N2(g) is present in excess and 55.6 g of H2(g) reacts, what is the theoretical yield of NH3(g)? (b) What is the percent yield if the actual yield of the reaction is 159 g of NH3(g)? Answers: #1(a) 313 g NH3(g); (b) 50.8% yield. ___________________________________________________________________________ 2. Methyl alcohol (wood alcohol), CH3OH, is produced via the reaction CO(g) + 2 H2(g) CH3OH (l) A mixture of 1.20 g H2(g) and 7.45 g CO(g) are allowed to react. (a) Which reagent is the limiting reagent? (b) What is the yield of CH3OH? [Assume theoretical yield in g is what is wanted here.] (c) How much of the reagent present in excess is left over? (d) Suppose the actual yield is 7.52 g of CH3OH. What is the % yield? Answers: # 2(a) CO is the limiting reagent; (b) 8.52 g CH3OH; (c) 0.13 g H2; (d) 88.3%\ 3. Examine the following reaction: ____ Mg + ____ HNO3 ____ Mg(NO3)2 + ____ H2 (a) If I start this reaction with 40 grams of magnesium and an excess of nitric acid, how many grams of hydrogen gas will I produce? (b) If 1.7 grams of hydrogen is actually produced, what was my percent yield of hydrogen? Answers: # 3 (a) 3.3 g H2 (b) 52 % ___________________________________________________________________________ 4. Examine the following reaction: ____ NaHCO3 ____ NaOH + ____ CO2 (a) If 25 grams of carbon dioxide gas is produced in this reaction, how many grams of sodium hydroxide should be produced? (b) If 50 grams of sodium hydroxide are actually produced, what was my percent yield? Answers: # 4 (a) 22.7 g NaOH (b) 220 % ___________________________________________________________________________ 5. If a 156.0 g of Cu ore contains 60.00 g of pure Cu metal. What is the percent purity? Answers: #5. 38.46 % purity ___________________________________________________________________________ 6. There are 6.5 grams of impure Zn, the percent purity is 87%, what is the mass of the pure Zn? Answers: # 6. 5.6 g of pure Zn ___________________________________________________________________________