In: Chemistry
Aspirin is produced by the reaction of salicylic acid (C7H6O3 . M = 138.1 g/mol) and acetic anhydride(C4H6O3, M = 102.1 g/mol). C7H6O3(s) + C4H6O3(l) → C9H8O4(s) + C2H4O2(l) If 2.04 g of C9H8O4 (M = 180.2 g/mol) is produced from the reaction of 3.00 g C7H6O3 and 5.40 g C4H6O3, what is the percent yield?
Answer – We are given, mass of C7H6O3(s) = 3.00 g
mass of C4H6O3(l) = 5.40 g , mass of C9H8O4(s) = 2.04 g
reaction – C7H6O3(s) + C4H6O3(l) -----> C9H8O4(s) + C2H4O2(l)
First we need to calculate the moles of each reactant
Moles of C7H6O3(s) = 3.00 g / 138.1 g.mol-1 = 0.0217 moles
Moles of C4H6O3(l) = 5.40 g / 102.1 g.mol-1 = 0.0529 moles
Now we know the balanced reaction has 1:1 mole ratio for all, so
Moles of C9H8O4(s) from C7H6O3(s) = 0.0217 moles
And this is the lowest moles than other, so C7H6O3(s) is limiting reactant and moles of C9H8O4(s) = 0.0217 moles
So, theoretical yield of C9H8O4(s) = 0.0217 moles * 180.2 g/mol
= 3.91 g
We know
Percent yield = actual yield / theoretical yield*100%
= 2.04 g / 3.9*1 g * 100 %
= 52.1 %