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What is the theoretical yield of acetylsalicylic acid that can be obtained from 5 grams of salicylic acid and 10 grams of acetic anhydride, assuming a 100% conversion rate and perfect reaction conditions?

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To calculate the theoretical yield of acetylsalicylic acid  aspirin , we need to first determine the limiting reagent in the reaction. The balanced chemical equation for the synthesis of aspirin is:C7H6O3  salicylic acid  + C4H6O3  acetic anhydride   C9H8O4  aspirin  + C2H4O2  acetic acid First, we need to find the moles of each reactant:Moles = mass  g  / molar mass  g/mol The molar mass of salicylic acid  C7H6O3  is 138.12 g/mol, and the molar mass of acetic anhydride  C4H6O3  is 102.09 g/mol.Moles of salicylic acid = 5 g / 138.12 g/mol = 0.0362 molMoles of acetic anhydride = 10 g / 102.09 g/mol = 0.0979 molNow, we need to determine the limiting reagent by comparing the mole ratio of the reactants:Mole ratio = moles of salicylic acid / moles of acetic anhydride = 0.0362 mol / 0.0979 mol = 0.369Since the mole ratio is less than 1, salicylic acid is the limiting reagent.Now, we can calculate the theoretical yield of aspirin  C9H8O4  using the stoichiometry of the balanced equation:Moles of aspirin = moles of salicylic acid = 0.0362 molThe molar mass of aspirin is 180.16 g/mol.Mass of aspirin = moles of aspirin  molar mass of aspirin = 0.0362 mol  180.16 g/mol = 6.52 gTherefore, the theoretical yield of acetylsalicylic acid  aspirin  that can be obtained from 5 grams of salicylic acid and 10 grams of acetic anhydride is 6.52 grams, assuming a 100% conversion rate and perfect reaction conditions.

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