Theoretical Masses of Products (AQA GCSE Chemistry)
Revision Note
Obtaining calculated masses
Higher tier only
We can obtain theoretical masses of products using a balanced equation and a given mass of reactant
How to calculate theoretical mass
The process is as follows:
Write out the balanced equation for the reaction(if not already given in the question)
Convert the given mass of reactant(s) into moles, by dividing the masses by the molar masses
Use the coefficients(multipliers) in the equation to deduce the number of moles of the product(s)
Convert the moles of product into mass by multiplying by the molar mass
The following example illustrates the process:
Worked Example
In an experiment to displace copper from copper(II)sulfate, 6.5g of zinc was added to a solution of copper(II)sulfate.
The balanced equation for the reaction is:
Zn (s) + CuSO4 (aq) ⟶ Cu (s) + ZnSO4 (aq)
The copper was filtered off, washed, dried and weighed. the final mass of copper obtained was 4.8 g.
Calculate the percentage yield of copper.
Answer:
Step 1: Calculate the moles of zinc that reacted:
Moles = mass / Ar
Moles = 6.5 / 65 = 0.1 mol
Step 2: Calculate the maximum number of moles of copper that could be formed:
From the molar ratio, one mole of zinc reacts to form one mole of copper
So, 0.1 moles of zinc will form 0.1 moles of copper
Step 3: Calculate the maximum mass of copper that could be formed:
Mass = moles x Ar
Mass = 0.1 x 63.5 = 6.35 g
Step 4: Calculate the percentage yield of the reaction:
Percentage yield = x 100
Percentage yield = = 76 %
Examiner Tips and Tricks
The key to success in all calculations is to have a methodical step-by-step approach and show all your workings. Be careful when working out the molar masses not to include coeffiecients. It is very easy to make the mistake of calculating the molar mass of magnesium oxide as 80 g instead of 40 g, when working from an equation:
2Mg (s) + O2 (g) → 2MgO (s)
(Mg = 24 g mol−1; O = 16 g mol−1 )
Remember that molar masses are calculated from chemical formulae, not from equations
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