Percent Yield Calculations Percent yield calculations are one of the most commonly used calculations in organic chemistry lab. Unfortunately the calculations are also one of the most common areas where students make mistakes. Understanding how to routinely and accurately carry out percent yield calculations will bolster understanding of the chemistry behind the calculation and simultaneously help improve grades. The amount of product which can form from each starting material must be calculated. This defines what is the limiting reagent and allows the percent yield to be determined. The calculations necessary to determine the Percent Yield calculations can be broken down into 3 simple steps. Necessary Steps 1. Determine the amount of product (usually in grams) which can form from EACH starting material. A separate calculation must be done for each starting material. Catalysts and solvents are not stoichiometric reagents and cannot be converted into product. 2. The reactant which will produce the smallest amount of the product is the limiting reagent. The limiting reagent is the starting material which will be depleted first. The amount of product formed from the limiting reagent is the theoretical maximum amount of product which can form. 3. Determine the percent yield of the reaction by dividing actual grams of product formed by the theoretical maximum amount of product possible X 100%. Dimensional analysis is very helpful in arriving at the correct answer. Include all units and identifiers. Often when a student is unsure how to proceed while solving a problem, a close examination of the units will direct the correct next multiplication or division. Reminders * Density is used to convert from volume to mass. * Molecular weight is used to convert from mass to moles. * Reaction Stoichiometry is used to convert from moles of reactants to moles product. * If a solution as opposed to a neat liquid is used, then the volume (in liters) of solution used can be multiplied by the molarity (M = moles/L) of the solution to determine moles. * Keep track of all units. * Be very aware of the stoichiometry of the reaction. * All data provided may not have to be used to determine answer. Revised August 23, 2012 Practice problem 1. One material measured as a solid (g) one material as a neat liquid (mL). 2.897 g of maleic anhydride (MA) is reacted with 2.56 mL of cyclohexadiene (CHD) to produce 3.979 grams of the bicyclic product. What is the limiting reagent and what is the percent yield? name density (g/ml) mol. Wt. (g/mol) volume (mL) mass(g) cyclohexadiene (CHD) 0.8405 80.15 maleic anhydride (MA) 1.314 98.06 5,6-anhydride [2.2.2]bicyclo-2octene 2.56 - 2.897 3.979 178.20 1) Amount of product possible from each starting material For maleic anhydride 2.897 _ g _ MA( g ) 1 _ mole _ MA(mol) 1 _ mol _ Pr oduct 178.20 _ grams _ product x x x 5.265 _ grams _ Pr oduct 98.06 grams _ MA( g ) 1 _ mol _ MA 1 _ mol _ Pr oduct Step 1 Step 2 Step 3 For cyclohexadiene 0.845 gCHD 1 _ moles _ CHD 1 _ moles _ product 178.20 grams _ product 2.45 _ mL _ CHDx x x x 4.78 _ g _ Pr oduct 1 _ mL _ CHD 80.15 _ g _ CHD 1 _ mole _ CHD 1 _ mole _ product Step 1 Step 2 Step 3 2) Theoretical Maximum and Limiting Reagent Since 4.78 is smaller than 5.265, cyclohexadiene is the limiting reagent and 4.78 g is the theoretical maximum amount of product which can form. 3) Percent Yield. Using knowledge of actual amount of product formed, calculate the % yield. Actual _ Mass _ Pr oduct _ Formed ( g ) x100% % yield _ Pr oduct Theoretica l _ Maximum _ Mass _ Pr oduct ( g ) 3.979 _ g _ Pr oduct x100% 83.2 _ % _ yield _ Pr oduct 4.78 _ g _ product Practice Problem 2. One material measured as a solution (M) one as a mass (g). 4.24 mL of 2-butanol is reacted with 10.2 mL of 6.0 M HCl to form 2.8798 grams of 2-chlorobutane. What is the limiting reagent and what is the percent yield. name density (g/ml) 2-butanol (BuOH) 0.81 Hydrochloric Acid (6.0 M) 1.314 2-chlorobutane Water 1.00 Revised August 23, 2012 mol. Wt. (g/mol) volume (mL) mass(g) 74.1 36.5 92.6 4.24 10.2 - - - 2.8798 18.00 Amount of product possible from each starting material 4.24 _ ml _ BuOH 0.810 _ g _ BuOH 1 _ mole _ BuOH 1 _ mol _ product 92.6 _ g _ Pr od x x x 4.28 grams Pr oduct 1 _ ml _ BuOH 74.1 _ g _ BuOH 1 _ mol _ BuOH 1 _ mol _ Pr od 10.2 _ ml _ HCl 1L _ HCl 6.0 _ mol _ HCl 1 _ mol _ product 92.6 _ g _ Pr od x x x x 5.7 _ grams Pr oduct 1000 _ ml _ HCl 1 _ L _ HCl 1 _ mol _ HCl 1 _ mol _ Pr od x 2) Theoretical Maximum and Limiting Reagent Since 4.28 is less than 5.7, 2-butanol is the limiting reagent and the maximum theoretical amount of product which can form is 4.28 g. Percent Yield. Using knowledge of actual amount of product formed, calculate the % yield. Actual _ Mass _ Pr oduct _ Formed ( g ) x100% % yield _ Pr oduct Theoretica l _ Maximum _ Mass _ Pr oduct ( g ) 2.8798 _ g _ Pr oduct x100% 67.3 _ % _ yield _ 2 ChloroBu tan e 4.28 _ g _ product Practice Problem 3. Non 1 :1 stoichiometry. Both materials measured as a neat liquid (mL). 7.3 mL of methylbenzoate is reacted with 10.0 mL of bromobenzene in an excess of magnesium shavings and an acid work-up to produce triphenylmethanol. What is the limiting reagent, the theoretical maximum amount of product which can form, and the percent yield? (An excess of magnesium is used.) name methyl benzoate Bromobenzene (MB) (BrB) density (g/ml) 1.09 1.50 mol. Wt. (g/mol) 136.1 157.02 volume (mL) 7.3 10.0 mass(g) Amount of product possible from each starting material triphenylmethanol 260.3 10.655 7.3 _ ml _ MB 1.09 _ g _ MB 1 _ mole _ MB 1 _ mol _ Pr od 260.5 _ g _ Pr od x x x x 15 _ g _ Pr oduct 1 _ ml _ MB 136.1 _ g _ MB 1 _ mol _ MB 1 _ mol _ prod 10.0 _ ml _ BrB x 1.50 _ g _ BrB 1 _ mol _ BrBe 1 _ mol _ Pr od 260.5 _ g _ Pr od x x x 12.5 _ g _ Pr oduct 1.00 _ mL _ BrB 157.02 _ g _ BrB 2 _ mol _ BrB 1 _ mol _ Pr od 2) Theoretical Maximum and Limiting Reagent Because 12.5 is smaller than 15, bromobenzene is the limiting reagent and the theoretical maximum amount of product which can form is 12.5 grams. Percent Yield. Using knowledge of actual amount of product formed, calculate the % yield. Actual _ Mass _ Pr oduct _ Formed ( g ) 10.655 _ g _ Pr oduct x100% x100% 85.2 _ % _ yield Theoretica l _ Maximum _ Mass _ Pr oduct ( g ) 12.5 _ g _ product Revised August 23, 2012