Percentage Yield Calculations (DP IB Chemistry): Revision Note
Percentage yield calculations
Theoretical and experimental yield
The theoretical yield is the maximum amount of product that can be formed from a given amount of reactants, assuming perfect conversion with no losses
Percentage yield calculations depend on the limiting reactant
The limiting reactant determines how much product can be made
The excess reactant is left over.
So, identifying the limiting reactant is essential for calculating a correct theoretical yield.
The experimental yield (or actual yield) is the amount of product you actually collect in the lab
The difference is often due to:
Side reactions
Loss of product during transfer or purification
Incomplete reaction
Calculating percentage yield
The percentage yield shows how much of a particular product you get from the reactants compared to the maximum theoretical amount
The formula for percentage yield is:
percentage yield = x 100
For example:
The theoretical yield of a reaction is 6.5 g, but only 5.8 g of product is collected:
percentage yield = × 100 = 89.2%
Examiner Tips and Tricks
Ensure the actual and theoretical yields have the same unit (e.g. grams) before applying the formula
Worked Example
In an experiment to displace copper from copper(II) sulfate, 6.5 g of zinc was added to an excess of copper(II) sulfate solution. The resulting copper was filtered off, washed and dried. The mass of copper obtained was 4.8 g.
Calculate the percentage yield of copper.
Answer:
Step 1: The balanced symbol equation is:
Zn (s) + CuSO4 (aq) → ZnSO4 (aq) + Cu (s)
Step 2: Calculate the amount of zinc reacted in moles:
number of moles =
number of moles = 0.0994 0.10 mol
Step 3: Calculate the maximum amount of copper that could be formed from the molar ratio:
The question states that an excess of copper(II) sulfate solution is added
This means that Zn is the limiting reactant
The ratio of Zn (s) to Cu (s) is 1:1
Therefore, a maximum of 0.10 moles can be produced
Step 4: Calculate the maximum mass of copper that could be formed (theoretical yield):
mass = mol x M
mass = 0.10 mol x 63.55 g mol-1
mass = 6.4 g (2 sig figs)
Step 5: Calculate the percentage yield of copper:
percentage yield = x 100 = 75%
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