Stoichiometry is a fundamental concept in chemistry that deals with the quantitative relationships between reactants and products in a chemical reaction. It is based on the law of conservation of mass, which states that matter cannot be created or destroyed in a chemical reaction. The coefficients in a balanced chemical equation represent the molar ratios of the substances involved.
This calculator helps you determine the theoretical yield of a product (in moles) given the amount of a reactant (in moles) and their respective stoichiometric coefficients from a balanced chemical equation.
The Math Behind the Calculation
The core principle is using the mole ratio derived from the balanced chemical equation. If a balanced chemical equation is represented as:
a A + b B → c C + d D
Where:
A and B are reactants.
C and D are products.
a, b, c, and d are their respective stoichiometric coefficients.
The mole ratio between Reactant A and Product B is a : c. This means for every a moles of Reactant A consumed, c moles of Product B are produced.
To calculate the moles of Product B produced from a given amount of Reactant A, we use the following formula:
Moles of Product B = (Moles of Reactant A) * (Coefficient of Product B / Coefficient of Reactant A)
In our calculator, this translates to:
Moles of [Product B Name] = (Moles of [Reactant A Name]) * ([Product B Coefficient] / [Reactant A Coefficient])
How to Use This Calculator
Identify Reactant A: Enter the chemical formula or name of the reactant you are starting with (e.g., H2, O2, CH4).
Enter Moles of Reactant A: Input the known quantity of Reactant A in moles.
Enter Reactant A Coefficient: Find the stoichiometric coefficient for Reactant A in your balanced chemical equation and enter it here.
Identify Product B: Enter the chemical formula or name of the product you want to calculate the yield for (e.g., H2O, CO2).
Enter Product B Coefficient: Find the stoichiometric coefficient for Product B in your balanced chemical equation and enter it here.
Click "Calculate Product B Yield": The calculator will output the theoretical yield of Product B in moles.
Example Calculation
Consider the synthesis of water from hydrogen and oxygen:
2 H₂ + O₂ → 2 H₂O
Let's say we start with 5.0 moles of Hydrogen gas (H₂). We want to find out how many moles of water (H₂O) can be produced.