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# 3.146 Aspirin or acetylsalicylic acid is synthesized bycombining salicylic acid with acetic anhydride:C7H6O3 + C4H6O3 C9...

3.146 Aspirin or acetylsalicylic acid is synthesized by
combining salicylic acid with acetic anhydride:
C7H6O3 + C4H6O3 C9H8O4 + HC2H3O2
salicylic acid acetic anhydride aspirin acetic acid
(a) How much salicylic acid is required to produce
0.400 g of aspirin (about the content in a tablet), assuming
acetic anhydride is present in excess? (b) Calculate the
amount of salicylic acid needed if only 74.9 percent of salicylic is converted to aspirin. (c) In one experiment,
9.26 g of salicylic acid reacts with 8.54 g of acetic
anhydride. Calculate the theoretical yield of aspirin and
the percent yield if only 10.9 g of aspirin is produced.

Since the given reaction is

C7H6O3 + C4H6O3 -----> C9H8O4 + C2H4O2

a) Hence from the above balanced reaction, we can say that 1 mole of salicylic acid is required to produce 1 mole of aspirin if 100 % of salicylic acid is converted

Since moles = mass / molar mass

And molar mass of aspirin = 12 X 9 + 8 X 1 + 4 X 16 = 12 X Atomic mass of C + 8 X Atomic mass of H + 4 X Atomic mass of O = 180 g/mol

And molar mass of salicylic acid = 7 X Atomic mass of C + 6 X Atomic mass of H + 3 X Atomic mass of O = 138 g/mol

Hence moles of aspirin produced = 4 / 180 = 0.02222

Since moles of salicylic acid reacted = moles of aspirin produced = 0.02222

Hence mass of salicylic acid = moles X molar mass = 0.02222 X 138 = 3.067 g

b) Since when 100 % of salicylic acid was reacting, we needed 3.067 g of salicylic acid

Hence if 74.9 % of salicylic acid is converted, the mass required = 3.067 X 100 / 74.9 = 4.095 g

1. c) Since moles of salicylic acid reacting = mass / molar mass = 9.26 / 138 = 0.0671

And since molar mass of acetic anhydride = 12 X Atomic mass of C +  6 X Atomic mass of H + 3 X Atomic mass of O = 102 g/mol

Hence moles of acetic anhydride reacting = 8.54 / 102 = 0.0837

Since 1 mole of salicylic acid needs 1 mole of acetic anhydride for complete reaction

And since moles of acetic acid is more than required

Hence salicylic acid is limiting reagent

Hence moles of aspirin produced theoretically = moles of salicylic acid = 0.0671

Hence mass of aspirin produced theoretically = moles X molar mass = 0.0671 X 180 = 12.08 g = the theoretical yield of aspirin

Hence percent error = aspirin produced X 100 / the theoretical yield of aspirin = 10.9 X 100 / 12.08 = 90.24 % approx

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