Percentage Yield & Atom Economy (OCR A Level Chemistry A): Revision Note
Percentage Yield Calculations
Percentage yield
In a lot of reactions, not all reactants react to form products which can be due to several factors:
Other reactions take place simultaneously
The reaction does not go to completion
Products are lost during separation and purification
The percentage yield shows how much of a particular product you get from the reactants compared to the maximum theoretical amount that you can get:
The actual yield is the number of moles or mass of product obtained experimentally
The theoretical yield is the number of moles or mass obtained by a reacting mass calculation
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
Step 3: Calculate the maximum amount of copper that could be formed from the molar ratio: Since the ratio of Zn(s) to Cu(s) is 1:1 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
Atom Economy Calculations
The atom economy of a reaction shows how many of the atoms used in the reaction become the desired product
The rest of the atoms or mass is wasted
It is found directly from the balanced equation by calculating the Mr of the desired product
In addition reactions, the atom economy will always be 100% because all of the atoms are used to make the desired product Whenever there is only one product, the atom economy will always be 100% For example, in the reaction between ethene and bromine:
CH2=CH2 + Br2 → CH2BrCH2Br
The atom economy could also be calculated using mass, instead or Mr
In this case, you would divide the mass of the desired product formed by the total mass of all reactants, and then multiply by 100
Questions about atom economy often asked in qualitative or quantitative terms
Worked Example
Qualitative atom economy Ethanol can be produced by various reactions, such as:
Hydration of ethene: C2H4 + H2O → C2H5OH
Substitution of bromoethane: C2H5Br + NaOH → C2H5OH + NaBr
Explain which reaction has a higher atom economy.
Answer
Hydration of ethene has a higher atom economy (of 100%) because all of the reactants are converted into products, whereas the substitution of bromoethane produces NaBr as a waste product
Worked Example
Quantitative atom economy
The blast furnace uses carbon monoxide to reduce iron(III) oxide to iron.
Fe2O3 + 3CO → 2Fe + 3CO2
Calculate the atom economy for this reaction, assuming that iron is the desired product. (Ar / Mr data: Fe2O3 = 159.6, CO = 28.0, Fe = 55.8, CO2 = 44.0)
Answer
Step 1: Write the equation: Step 2: Substitute values and evaluate:
Examiner Tips and Tricks
Careful: Sometimes a question may ask you to show your working when calculating atom economy.
In this case, even if it is an addition reaction and it is obvious that the atom economy is 100%, you will still need to show your working.
Benefits of High Atom Economy
Chemists use percentage yield as one possible measure of how efficient a reaction is
A high percentage yield suggests that a process is effective at converting reactants into products
The estimated percentage yield for a single run of the Haber Process is around 15%
This is a compromise due to the cost and safety of the required conditions against the overall rate of ammonia production
Any unreacted materials are also recycled so it is estimated that the percentage conversion of all reactants to products is around 97%
Whilst a high percentage yield can be good for profits, it does not account for any waste products
A reaction can have a high percentage yield but low atom economy which essentially means that more waste products are produced
Atom economy is a measure of the percentage of reactants that become useful products and is calculated by:
Atom Economy and Green Chemistry
Chemists will often have several choices of reaching a target molecule and those choices need to take into the principles of Green Chemistry
![The Twelve Principles of green chemistry, downloadable AS & A Level Chemistry revision notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2021/11/7.8.1-The-Twelve-Principles-of-green-chemistry.png)
The twelve principles of green chemistry
By choosing a reaction pathway that has fewer steps, you can prevent waste and reduce energy demands which is better for the environment
This also reduces production costs
One of the key ideas behind Green Chemistry is to find reaction pathways with high percentage yield and high atom economy
By analysing the atom economy of each step, you can select reactions that give a higher atom economy and / or select other reactions to reduce the number of steps involved in a reaction pathway
For example, the synthesis of ibuprofen that was patented by Boots in the 1960's was a six-step synthesis
Even if each step has an atom economy of 90%, a six-step synthesis would have an overall atom economy of 53%
The modern production of ibuprofen is a three-step synthesis, which with the same assumptions as before, gives an overall atom economy of 73%
Higher atom economy means that there is less waste produced
This can be considered environmentally friendly even though it may not influence the reaction conditions
It also means that reactions are more sustainable and often use less natural / finite resource
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