To calculate atom economy, first identify the desired product in the balanced chemical equation.
Calculate the Total Formula Mass () of the desired product, ensuring you multiply the molar mass by its stoichiometric coefficient from the balanced equation.
Calculate the Sum of Formula Masses of all reactants (or all products) involved in the reaction.
Apply the formula:
If a reaction has only one product, the atom economy is automatically 100%, as there are no by-products to account for.
| Feature | Atom Economy | Percentage Yield |
|---|---|---|
| Focus | Efficiency of the reaction pathway | Efficiency of the experimental process |
| Calculation | Theoretical (based on balanced equation) | Practical (based on actual mass obtained) |
| Waste | Accounts for by-products | Accounts for lost reactants or incomplete reactions |
| Improvement | Requires changing the reaction pathway | Requires improving lab technique or conditions |
A reaction can have a 100% yield but a low atom economy if the pathway inherently produces large amounts of unwanted by-products.
Conversely, a reaction with a 100% atom economy might have a low yield if the reaction does not go to completion or if product is lost during purification.
Check Coefficients: The most common mistake is forgetting to include the large numbers (coefficients) in front of the formulas when calculating total .
Identify the Goal: Always read the question carefully to identify which substance is the "desired product," as this is the only value that goes in the numerator.
Addition Reactions: Recognize that addition reactions (where ) always have 100% atom economy; this is a frequent conceptual shortcut in exams.
Sanity Check: Atom economy can never exceed 100%. If your calculation results in a value over 100, you likely swapped the numerator and denominator.
Ignoring By-products: Students often forget that even if a by-product is "useful" in another context, it is still considered waste in the specific calculation of atom economy for the primary product.
Confusing Mass with Molar Mass: Ensure you are using the relative formula masses () from the periodic table, not the actual masses (grams) used in a specific experiment.
Sustainability vs. Economy: While high atom economy is more sustainable, a low atom economy process might still be used industrially if the by-products can be sold or if the reactants are extremely cheap.