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Theoretical reaction mass efficiency

Atom economy calculator

Use an already balanced reaction. Enter every reactant’s coefficient and molar mass, then enter the coefficient and molar mass of the desired product. The result describes theoretical incorporation of reactant mass into that product.

Enter your values

Reactants in the balanced equation

Desired product

Result

Results are based only on the inputs and assumptions shown here. Nothing you enter is sent or saved.

Formula: atom economy % = (desired product coefficient × its g/mol) ÷ Σ(each reactant coefficient × its g/mol) × 100; coefficients represent molar proportions in the balanced reaction

Worked example

For CaCO₃ → CaO + CO₂, choose CaO as the desired product. With coefficient 1 throughout, 100.086 g/mol CaCO₃ and 56.077 g/mol CaO give about 56.03% atom economy. The remaining 44.009 g per reaction unit corresponds to the other product.

Include every stoichiometric reactant

A coefficient multiplies the molar mass: 2 H₂ contributes 2 × 2.016 g per reaction unit. Add a row for each reactant consumed by the balanced equation. A catalyst or solvent that is not consumed in that equation is outside this particular metric.

Atom economy and percent yield answer different questions

Atom economy is a theoretical mass fraction derived from the equation. Percent yield compares actual isolated product with its theoretical yield. A reaction can have a high percent yield while sending much of its reactant mass into other products.

Check the equation before trusting the percentage

This tool does not balance reactions or verify chemical identity. The desired-product mass cannot exceed total reactant mass. That check catches some entry errors but does not prove an equation is balanced. The single desired-product model excludes solvent use, excess feed, energy and hazard; it is not an overall sustainability rating.

Explore the related calculation

For a different starting point, try the percent-yield calculator or return to the main calculator. Browse the complete tool directory for this site.

Reference and corrections

The definitions and assumptions above follow these sources; the examples and calculator arithmetic are original to this page.

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