The chemical reaction of 100 g of salicylic acid, C7H6O3, with excess acetic

anhydride produces 50.0 g of aspirin, C9H8O4, according to the equation. What is
the percentage yield for the reaction shown below? Please show your work.
C7H6O3 + C4H6O3 → C9H8O4 + C2H4O2

thank you! :)

Diff

To calculate the percentage yield for a chemical reaction, you need to compare the actual yield (the amount of product obtained in the experiment) to the theoretical yield (the maximum amount of product that could be obtained based on the balanced chemical equation). The formula for percentage yield is:

Percentage Yield = (Actual Yield / Theoretical Yield) * 100%

First, we need to calculate the theoretical yield.

From the balanced chemical equation, we can see that the molar ratio between salicylic acid (C7H6O3) and aspirin (C9H8O4) is 1:1. This means that 1 mole of salicylic acid will produce 1 mole of aspirin.

1 mole of salicylic acid = molar mass of salicylic acid = 138.12 g/mol
1 mole of aspirin = molar mass of aspirin = 180.16 g/mol

Since we have 100 g of salicylic acid, we can calculate the number of moles using the following equation:

moles of salicylic acid = mass of salicylic acid / molar mass of salicylic acid
moles of salicylic acid = 100 g / 138.12 g/mol ≈ 0.723 mol

Since the molar ratio is 1:1, the number of moles of aspirin produced will also be 0.723 mol.

The theoretical yield of aspirin can be calculated using the following equation:

theoretical yield = moles of aspirin * molar mass of aspirin
theoretical yield = 0.723 mol * 180.16 g/mol ≈ 130.40 g

Now, we can calculate the percentage yield:

Percentage Yield = ( Actual Yield / Theoretical Yield ) * 100%
Percentage Yield = ( 50.0 g / 130.40 g ) * 100%
Percentage Yield ≈ 38.4 %

Therefore, the percentage yield for the given reaction is approximately 38.4%.

Note: The actual yield is given as 50.0 g in the problem statement.

Convert 100 g salicylic acid (SA) to moles. moles = grams/molar mass

Using the coefficients in the balanced equation, convert moles SA to moles of the product. (The ratio is 1:1).

Now convert moles aspirin to grams aspirin. grams = moles x molar mass. This is the theoretical yield.

% yield = (actual yield/theoretical yield)*100
actual yield is 50.0 g from the problem. Theoretical yield is from your calculations.