To calculate the percent yield of a reaction, we need to compare the actual yield (the amount of aspirin produced) to the theoretical yield (the maximum amount of aspirin that could be produced based on the limiting reactant). The percent yield can be calculated using the formula:
Percent Yield = (Actual Yield / Theoretical Yield) × 100
Given information:
Mass of aspirin produced (actual yield) = 63.0 g
Mass of C,H,O, (limiting reactant) = 79.8 g
To find the theoretical yield, we need to determine the stoichiometric ratio between C,H,O, and aspirin (CHO) from the balanced equation:
C_HO (s) + CHO, (I) → CHO, (s) + HC,H,O, (aq)
From the equation, we can see that the molar ratio between C,H,O, and CHO is 1:1. Therefore, the molar mass of C,H,O, can be directly converted to the molar mass of CHO.
Molar mass of C,H,O, = 79.8 g/mol
Molar mass of CHO = 63.0 g/mol
Since the molar mass of C,H,O, and CHO are equal, the theoretical yield will be equal to the mass of C,H,O, used.
Theoretical Yield = 79.8 g
Now we can calculate the percent yield:
Percent Yield = (Actual Yield / Theoretical Yield) × 100
Percent Yield = (63.0 g / 79.8 g) × 100
Percent Yield ≈ 78.85%
Therefore, the percent yield of the reaction is approximately 78.85%.