easykemistry

Tuesday, 20 January 2026

STOICHIOMETRY

 Stoichiometry is the branch of chemistry that deals with the quantitative relationship between reactants and products in a chemical reaction.

That is, the relationship between the number of moles of reactants and products in a chemical reaction 

In simple terms, stoichiometry helps us to calculate:

  • How much reactant is needed

  • How much product will be formed during a chemical reaction

Stoichiometry is based on the law of conservation of mass, which states that matter can neither be created nor destroyed in a chemical reaction.


Importance of Stoichiometry

Stoichiometry is used to:

  • Calculate masses of reactants and products

  • Determine the amount of substances in reactions

  • Predict product yield

  • Find limiting and excess reactants

  • Design industrial chemical processes

Basic Terms in Stoichiometry

1. Mole

A mole is the amount of substance that contains
6.02 × 10²³ particles (Avogadro’s number).

The mole is also the unit of measurement in chemistry.

2. Molar Mass

The molar mass is the mass of one mole of a substance in grams (g/mol).

Example:
Molar mass of H₂O = 2(1) + 16 = 18 g/mol


3. Chemical Equation

A chemical equation shows the relationship between reactants and products.

Example:

         2H2         +        O2 →       2H2O

         2mols               1mol         2mol

or        2g                 (2x16)g      (2x18)g

or         2g                    32g            22.4dm3

This means:
2 moles of hydrogen react with 1 mole of oxygen to form 2 moles of water.



Types of Stoichiometric Calculations

1. Mole-to-Mole Calculations

This involves using the ratio of moles in a balanced equation. That is, mole-mole relationship 

Example 1:

How many moles of oxygen are needed to react with 4 moles of hydrogen?


2H2 + O2 → 2H2O

From equation:

2 moles H₂ react with 1 mole O₂
So, 4 moles H₂ will need:


1/2 x 4 = 2 moles of O2

2. Mass-to-Mole Calculations

Example 2:

What is the number of moles in 44 g of CO₂?

Molar mass of CO₂ = 12 + 2(16) = 44 g/mol


Moles = Mass       =    

           Molar mass   

  44 = 1mole
  44 



3. Mass-to-Mass Calculations

Example 3:

What mass of CO₂ is produced when 10 g of CaCO₃ decomposes?

Equation:

CaCO3 →CaO + CO2


Step 1: Molar masses
CaCO₃ = 100 g/mol
CO₂ = 44 g/mol

From equation:
100 g CaCO₃ → 44 g CO₂

So,
10 g CaCO₃ →?


         10    = 4.4 g of CO2
        100



4. Volume-to-Volume (Gaseous Reactions)

At the same temperature and pressure, equal volumes of gases contain equal number of molecules.

Example 4:

What volume of oxygen is needed to react with 40 cm³ of hydrogen?


2H2 + O2 →2H2O


2 volumes H₂ react with 1 volume O₂
So,
40 cm³ H₂ will need:


1/2x 40 = 20 cm3 of  O2


5. Limiting Reactant Calculations

The limiting reactant is the reactant that is completely used up first and stops the reaction.

Example 5:

If 2 g of hydrogen reacts with 16 g of oxygen, which is limiting?


2H2 + O2 →2H2O


Moles:
H₂ = 2 ÷ 2 = 1 mole
O₂ = 16 ÷ 32 = 0.5 mole

Required ratio:
2H₂ : 1O₂
Actual ratio:
1H₂ : 0.5 O₂ → correct ratio

So, no reactant is in excess — both are completely used up.


Percentage Yield

Not all reactions give maximum product.

Formula:


Percentage Yield =   Actual Yield        x 100
                              Theoretical Yield


Example 6:

If theoretical yield = 10 g and actual yield = 8 g


             8     = 100 = 80%
            10 


Summary

Stoichiometry helps chemists:

  • Predict quantities in reactions

  • Save materials

  • Improve industrial efficiency

  • Avoid wastage


OBJECTIVE QUESTIONS (WAEC/NECO)

1. Stoichiometry deals with the
A. speed of reactions
B. colour of substances
C. quantitative relationship between reactants and products
D. energy changes in reactions

2. The number of particles in one mole of a substance is
A. 3.01 × 10²³
B. 6.02 × 10²³
C. 1.00 × 10²³
D. 12.00 × 10²³

3. The molar mass of CO₂ is
A. 12 g/mol
B. 16 g/mol
C. 28 g/mol
D. 44 g/mol

4. How many moles are present in 18 g of water?
A. 0.5
B. 1
C. 2
D. 18

5. In the equation
2H₂ + O₂ → 2H₂O
the mole ratio of H₂ to O₂ is
A. 1:1
B. 1:2
C. 2:1
D. 2:2

6. What mass of NaCl contains 1 mole of NaCl?
A. 23 g
B. 35.5 g
C. 58.5 g
D. 46 g

7. At the same temperature and pressure, equal volumes of gases contain
A. equal masses
B. equal densities
C. equal number of molecules
D. equal pressures

8. Which of the following is the limiting reactant?
A. The reactant in excess
B. The reactant completely used up
C. The product formed
D. The catalyst

9. The formula for calculating percentage yield is
A. Actual × Theoretical
B. Actual ÷ Theoretical × 100
C. Theoretical ÷ Actual × 100
D. Actual − Theoretical

10. How many moles are in 44 g of CO₂?
A. 0.5
B. 1
C. 2
D. 44

11. What volume of oxygen is required to react with 40 cm³ of hydrogen?
(2H₂ + O₂ → 2H₂O)
A. 10 cm³
B. 20 cm³
C. 30 cm³
D. 40 cm³

12. Which law is the basis of stoichiometry?
A. Law of definite proportion
B. Law of multiple proportions
C. Law of conservation of mass
D. Law of gaseous volumes

13. The molar mass of CaCO₃ is
A. 40
B. 56
C. 84
D. 100

14. How many moles are present in 32 g of O₂?
A. 0.5
B. 1
C. 2
D. 16

15. Which of the following is NOT used in stoichiometric calculations?
A. Balanced equation
B. Molar mass
C. Temperature only
D. Mole ratio


THEORY QUESTIONS (WAEC/NECO)

Short Answer Questions

1. Define stoichiometry.
2. What is a mole?
3. State Avogadro’s number.
4. Define molar mass.
5. What is a limiting reactant?

6. Calculate the number of moles in 22 g of CO₂.

7. What mass of CO₂ is produced when 50 g of CaCO₃ decomposes? according to the equation
CaCO₃ → CaO + CO₂

8. How many moles of oxygen are needed to react completely with 6 moles of hydrogen? given the equation below
2H₂ + O₂ → 2H₂O

9. Explain stoichiometry and state three of its applications.

10. Describe how to calculate the mass of a product formed from a given mass of reactant using a balanced chemical equation.

11. In a reaction, 10 g of calcium carbonate was heated and produced 3.5 g of carbon dioxide.
(a) Calculate the theoretical yield
(b) Calculate the percentage yield
CaCO₃ → CaO + CO₂

12. Explain the term “limiting reactant” and show with an example.



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