Stoichiometry and Stoichiometric Calculations
Learning Objective: Understand how to calculate the quantities of reactants and products involved in chemical reactions, identify limiting reagents, and solve problems involving solutions.
Quick Notes:
- Stoichiometry involves quantitative relationships between reactants and products in a balanced chemical equation.
- We can use the mole ratio from the balanced equation to calculate required/reacted amounts.
- Limiting reagent: The reactant that gets consumed first and limits the amount of product formed.
- In solutions, concentration is expressed using:
- Mass % = (Mass of solute / Mass of solution) × 100
- Mole fraction = moles of component / total moles
- Molarity (M) = moles of solute / volume of solution in litres
- Molality (m) = moles of solute / mass of solvent in kg
Full Notes:
What is Stoichiometry?
Stoichiometry is the calculation of the quantities of substances involved in a chemical reaction, based on the balanced chemical equation.
A balanced equation tells us:
- Which reactants and products are involved
- How many moles of each substance react or are formed
Example:
For the reaction: H2 + Cl2 → 2HCl
- 1 mole of H2 reacts with 1 mole of Cl2 to form 2 moles of HCl
- If you have 2 moles of H2, you’d need 2 moles of Cl2 to produce 4 moles of HCl
General Steps in Stoichiometric Calculations
- Write the balanced chemical equation
- Convert given data into moles
- Use mole ratios to relate substances
- Convert moles into mass, volume, or particles, as required
1.10.1 Limiting Reagent
In most reactions, one reactant may be in excess, while the other is completely consumed first — this is called the limiting reagent.
Definition: The limiting reagent is the reactant that gets consumed first and thus limits the amount of product formed. The other reactant is said to be in excess.
Example:2H2 + O2 → 2H2O
- Suppose you have 2 moles of H2 and 1 mole of O2
then both are completely used, no limiting reagent - If you have 2 moles of H2 and 2 moles of O2,
then only 1 mole of O2 is used. H2 is limiting reagent, O2 is in excess
Steps to find limiting reagent:
- Convert mass to moles
- Compare the mole ratio of available reactants to the stoichiometric ratio
- The reactant that gives less product is the limiting reagent
Limiting reagent check: For 2H2 + O2 → 2H2O, which is limiting if we mix 4.0 mol H2 with 1.5 mol O2?
- Required stoichiometric ratio H2:O2 = 2:1.
- With 1.5 mol O2, maximum H2 that can react = 3.0 mol → leaves 1.0 mol H2 unreacted.
- Therefore O2 is limiting; water formed = 3.0 mol H2 → 3.0 mol H2O.
1.10.2 Reactions in Solutions
When reactions occur in solution, it is important to know how much solute is dissolved and how to express concentration.
Mass Percent (% by Mass)

Mass % = (Mass of solute / Mass of solution) × 100
Example: 10 g NaCl in 90 g water , solution = 100 g
Mass % of NaCl = (10 / 100) × 100 = 10%
Mole Fraction (χ)

- Mole fraction is the ratio of moles of one component to the total moles in the solution.
- Properties: Mole fraction is unitless. For a binary mixture A + B: χA + χB = 1.
Molarity (M)

Molarity (M) = moles of solute / volume of solution (L)
Example: 5.8 g NaCl (M = 58.44 g/mol) in 500 mL solution:
Moles = 5.8 / 58.44 = 0.0992 mol
Volume = 0.500 L
Molarity = 0.0992 / 0.500 = 0.198 M
Note: Molarity changes with temperature, because volume changes with temperature.
Molality (m)

Molality (m) = moles of solute / mass of solvent (kg)
Example: 5.4 g glucose (M = 180 g/mol) in 100 g water
Moles = 5.4 / 180 = 0.03 mol
Solvent = 0.100 kg
Molality = 0.03 / 0.100 = 0.3 m
Note: Molality is independent of temperature, since mass does not change with temperature.
NCERT Summary of Units
Quantity | Symbol | Formula | Depends on T? |
---|---|---|---|
Mass percent | – | (mass solute / mass solution) × 100 | No |
Mole fraction | χ | moles of component / total moles | No |
Molarity | M | moles of solute / volume of solution (L) | Yes |
Molality | m | moles of solute / mass of solvent (kg) | No |

If you're given volume of solution → use molarity. If you're given mass of solvent → use molality. Always watch for the limiting reagent in stoichiometry questions.
Summary
- Stoichiometry uses balanced equations and mole ratios to quantify reactants and products.
- Limiting reagent determines the maximum amount of product formed.
- Solution concentration can be expressed as mass %, mole fraction, molarity, or molality.
- Molarity is temperature dependent; molality is not.
- Systematic steps (to moles → ratio → back to required units) prevent calculation errors.