Aspirin (C9H8O4) 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)
First, determine which reactant is the rate limiting one by
seeing how many moles would be produced of product (C9H8O4) if 100%
of the reactants were used.
For C7H6O3: 3.03 g C7H6O3/(138.1 g/mol) = 0.0219 mol
For C4H6O3: 4.01 g/(102.1 g/mol) = 0.0393 mol
Complete reaction of C7H6O3 would yield fewer moles, so it must be
the rate limiting reactant.
Now calculate how many moles of C9H8O4 2.04 g is:
2.04 g C9H8O4/(180.2 g/mol) = 0.01132 mol C9H8O4
For percent yield:
(0.01132 mol actual yield/0.0219 mol theoretical yield) * 100 =
51.68%
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