Final answer:
To calculate the theoretical yield of aspirin, convert the moles of salicylic acid given to grams, use the molar ratio from the balanced equation to determine the number of moles of aspirin produced, and convert the moles of aspirin to grams using the molar mass of aspirin. In this case, the theoretical yield of aspirin is 1.369 g.
Step-by-step explanation:
Theoretical yield refers to the maximum amount of product that can be obtained from a chemical reaction, based on the stoichiometry of the balanced equation. To calculate the theoretical yield of aspirin, we need to convert the moles of salicylic acid given to grams, and then use the molar ratio from the balanced equation to determine the number of moles of aspirin produced. Finally, we can convert the moles of aspirin to grams using the molar mass of aspirin.
First, we need to find the mass of 7.60*10^-3 mol of salicylic acid:
Mass = moles × molar mass = (7.60*10^-3 mol) × (138.122 g/mol) = 1.051 g
Next, we determine the molar ratio between salicylic acid and aspirin, which is 1:1 based on the balanced equation. Therefore, 7.60*10^-3 mol of salicylic acid will produce 7.60*10^-3 mol of aspirin.
Finally, we can calculate the mass of aspirin:
Mass = moles × molar mass = (7.60*10^-3 mol) × (180.159 g/mol) = 1.369 g