Ishwar S. answered 06/06/19
University Professor - General and Organic Chemistry
1) Theoretical yield
For the chemical reaction, I am going to use the following abbreviations:
SA = Salicylic acid
Ac2O = Acetic anhydride
ASA = Acetylsalicylic acid
Convert grams of SA and Ac2O to grams of ASA. The reactant that produces the lower amount of ASA is the limiting reagent AND, the mass of ASA formed is the theoretical yield. Note that in the chemical reaction, the mole ratio between the 2 reactants and the product is 1:1.
2.0 g SA x (1 mol SA / 138.12 g SA) x (1 mol ASA / 1 mol SA) x (180.16 g ASA / 1 mol ASA) = 2.6 g ASA
3.0 g x (1 mol Ac2O / 102.09 g Ac2O) x (1 mol ASA / 1 mol Ac2O) x (180.16 g ASA / 1 mol ASA) = 5.3 g ASA
As you can see, SA produces less ASA, therefore, it is the limiting reagent, and the theoretical yield = 2.6 g
2) Percentage yield
Calculate the theoretical yield of ASA starting with 1.2 g of SA.
1.2 g SA x (1 mol SA / 138.12 g SA) x (1 mol ASA / 1 mol SA) x (180.16 g ASA / 1 mol ASA) = 1.6 g ASA
%-Yield = (actual yield / theoretical yield) x 100%
= (1.34 / 1.6) x 100% = 84%