A chemist is commissioned to produce twenty pallets of aspirin: C_7 H_6 O_3 (sal

Question

A chemist is commissioned to produce twenty pallets of aspirin: C_7 H_6 O_3 (salicylic acid) + C_4 H_6 O_3 (acetic anhydride) rightarrow C_9 H_8 O_4 (aspirin) + C_2 H_4 O_2 (acetic acid) How many kilograms of salicylic acid are required if the aspirin is produced with a 78.2% yield? How many liters of acetic anhydride are required? What is the total cost of the reactants used? The box depicted to the left contains a bottle. The bottle contains 500 tablets (each containing 325 mg of aspirin). A case contains 144 bottles. A pallet contains 150 cases. The figure to the left depicts a pallet of cases. A 55 gallon drum of acetic anhydride (density = 1.08 g/mL) costs the chemist $2640.00 A 50 pound bag of salicylic acid costs the chemist $508.00

Explanation / Answer

Step 1: Amount of aspirin required: 0.325 gm (per tablet) x 500 tablets (one bottle) x 144 bottles (per case) x 150 cases (per pallet) = 35,10,000 gms

% yield: 35,10,000 gms x 100 / 78.2 = 4488491gms total aspirin required to be produced

Step 2 : As per equation one mole of each salicyclic acid and acetic anhydride gives one mole of aspirin.

Molecular mass of salicylic acid: 138.12 g/mol.

Molecular mass of acetic anhyride: 102.09 g/mol.

Molecular mass of aspirin: 180.16 g/mol.

4488491 gms of aspirin will contain

4488491gms /180.16 g/mol = 24,914 moles

24,914moles of acetic anhydride will weigh

24,914moles x 102.09 g/mol. = 25,43,470.26 gms = 2355065 ml (25,43,470.26 gms/1.08 g/ml)= 2355.06 Litres of acetic anhydride required

24,914moles of salicyclic acid will weigh

24,914moles x 138.12 g/mol. = 34,41,121.7gms = 3441.12 kgs of Salicyclic acid required

Step 3:

1 drum = 55 gallon of Acetic anhydride = 208,198 ml = 224,854 gm (1.08g/ml x 208,198 ml)

25,43,470.26gms / 224,854 gm = 11.3 drums = 12 drums. X $2640 = $ 31680

Step 4:

1 bag = 50 pound salicyclic acid = 22680 gms

34,41,121.7 gms / 22680gm = 151.7 bags = 152 bags X $508 = $ 77216

Total cost

$ 31680 + $ 77216 = $108,896

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