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19 February, 08:18

What is the theoretical yield of aspirin (C 9 H 8 O 4), which has a molar mass of 180.15 g/mol, possible when reacting 3.03 g of salicylic acid with 3.61 mL of acetic anhydride?

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  1. 19 February, 08:25
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    The theoretical yield of aspirin is 3.95 grams

    Explanation:

    Step 1: Data given

    Mass of salicylic acid = 3.03 grams

    Volume of acetic anhydride = 3.61 mL

    Density of acetic anhydride = 1.08 g/cm³

    Step 2: The balanced equation

    C4H6O3+C7H6O3→C9H8O4+C2H4O2

    Step 3: Calculate moles salicylic acid

    Moles salicylic acid = mass salicylic acid / molar mass salicylic acid

    Moles salicylic acid = 3.03 grams / 138.121 g/mol

    Moles salicylic acid = 0.0219 moles

    Step 4: Calculate mass acetic anhydride

    Mass acetic anhydride = volume * density

    Mass acetic anhydride = 3.61 mL * 1.08 g/mL

    Mass acetic anhydride = 3.90 grams

    Step 5: Calculate moles acetic anhydride

    Moles acetic anhydride = 3.90 grams / 102.09 g/mol

    Moles acetic anhydride = 0.0382 moles

    Step 6: Calculate limiting reactant

    For 1 mol salicylic acid we need 1 mol acetic anhydride to produce 1 mol aspirin

    Salicylic acid is the limiting reactant. It will completely be consumed. (0.0219 moles). Acetic anhydride is in excess. There will react 0.0219 moles. There remain 0.0382 - 0.0219 = 0.0163 moles

    Step 7: Calculate moles aspirin

    For 1 mol salicylic acid we need 1 mol acetic anhydride to produce 1 mol aspirin

    For 0.0219 moles salicylic acid we'll have 0.0219 moles aspirin

    Step 8: Calculate theoretical yield of aspirin

    Mass of aspirin = moles aspirin * molar mass aspirin

    Mass of aspirin = 0.0219 moles * 180.15 g/mol

    Mass of aspirin = 3.95 grams

    The theoretical yield of aspirin is 3.95 grams
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