easykemistry

Monday, 12 January 2026

🔥 HEAT ENERGY & CHEMICAL REACTIONS – AT A GLANCE

 

🔹 Energy

Energy is the ability to do work.

Forms of energy:
Kinetic, potential, heat, light, nuclear, solar, etc.

Law of Conservation of Energy:
Energy cannot be created or destroyed, only changed from one form to another.

🔹 Types of Energy in Matter

  • Potential Energy: Energy due to position or stored chemical bonds

  • Kinetic Energy: Energy of motion of particles

  • Internal Energy (U): Total kinetic + potential energy of a system

🔹 Heat and Temperature


                   Q = mc△T

Where:
Q = heat absorbed
m = mass
c = specific heat capacity
ΔT = temperature change


🔹 Enthalpy (H)

Total heat content of a substance.

         113H = H{products} - H{reactant}

🔹 Exothermic Reactions

Give out heat (ΔH is negative)

Examples:

  • Combustion

    Mg + O2 → MgO

  • Neutralization

    HCl + NaOH → NaCl + H2O

  • Dissolving NaOH in water


🔹 Endothermic Reactions

Absorb heat (ΔH is positive)

Example:

CaCO3→CaO + CO2


🔹 Chemical Bonds & Heat

  • Bond breaking → absorbs energy (endothermic)

  • Bond forming → releases energy (exothermic)

  • Activation energy: minimum energy needed to start a chemical reaction


🔹 Heat Changes

TypeMeaning
Heat of formationHeat when 1 mole is formed
Heat of neutralizationHeat when acid reacts with base
Heat of combustionHeat when 1 mole burns
Heat of solutionHeat when substance dissolves

🔹 Thermodynamics

Study of heat and energy.

First Law:
  △U = q - w

Second Law:
A reaction is spontaneous if entropy increases


🔹 Entropy (S)

Measure of randomness

  • Solid → Liquid → Gas = Entropy increases

  • S = S{products} - S{reactants}


🔹 Gibbs Free Energy

 △G = △H - T△S

Value of ΔGMeaning
NegativeReaction is spontaneous
ZeroSystem at equilibrium
PositiveNot spontaneous

🎯 Important Tip

A reaction is spontaneous when ΔG is negative

Sunday, 11 January 2026

ENERGY AND CHEMICAL REACTION note for students

Energy can be defined as the ability to do work.
There exist various forms of energy, these include, kinetic energy, potential energy, light energy, nuclear energy, heat energy, solar energy e.t.c.

Energy can neither be created nor destroyed but can be converted from one form to another. (law of conservation of mass)
A body/substance at rest possess potential energy. Potential energy is the energy possessed by a body by virtue of its position and 
When chemical reactions occur, bonds are broken in the reactants and new bonds are formed in the product and the energy involved is also a form of potential energy.
Kinetic energy on the other hand is the energy possessed when a body is in motion. The atoms and molecules in a substance possess kinetic energy because they are always in motion
Both the kinetic energy and the potential energy of a system, make up the Internal energy (U) of the body / system.

Heat energy and Temperature 

When a body is heated, the temperature will rise, this rise in temperature depends on the heat capacity (C) of the body
∆T= ∆Q        (∆= delta)
         C     
∆T = is the rise in temperature Q(K)
∆Q = heat absorbed (J)
C= heat capacity (J/K)

Specific heat capacity (c): - The specific heat capacity of a substance is the heat capacity per unit mass of the substance.
     c= C
          m     
C= mc
Where c= specific heat capacity (J/gK) 
m = mass in grammes (g)

∆T = ∆Q/C substituting "cm" for C 
            
∆T= ∆Q mc

Hence 
∆Q =mc∆T

ENTHALPY (H)
This is the total heat content of a body/ system. 
Every substance possess its own characteristics enthalpy. 
When a substance undergoes a chemical reaction, then there will be a change in the enthalpy of the system.
The change in enthalpy ∆H is equal to the enthalpy of the product Hp minus the enthalpy of the reactant Hr

∆H= Hp - Hr

ENDOTHERMIC AND EXOTHERMIC REACTIONS
Chemical reactions are grouped into two as regards heat energy evolved during chemical reactions they are exothermic and endothermic reactions

EXOTHERMIC REACTION: - This is a reaction during which heat is given off to the surrounding.
In this reaction the heat content of the reactants is greater than the heat energy of the product. 
Example of exothermic reactions 
1. Combustion reactions: - all combustion reactions are exothermic reactions 
a)    Mg(s) + O2(g) → MgO(s)
b)    C(s) + O2(g) → CO2(g)

2). Neutralization reaction 
a). HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)

b).  H2SO4(aq) + Na2CO3(aq) → Na2SO4(aq) + H2O(l)

3) Solubility: - when water is added to some compounds they dissolve releasing a lot of heat in the process, this is observed as the container becomes hot. Examples include
a). dissolving pellets of sodium hydroxide in water 
            NaOH(s) → NaOH(aq)

b). 
ENDOTHERMIC REACTION:- This is a reaction during which heat is absorbed from the surrounding. 
Such reactions, the heat content of the product is greater than the heat content of the reactant.
example of endothermic reactions include 
1.  Decomposition reactions:- most compounds undergo decomposition when heated strongly
 a). CaCO3(s) → CaO(S) + CO2(g) 


HEAT OF REACTION AND CHEMICAL BONDS

When chemical reactions occur, bonds are broken, atoms rearrange themselves and new bonds are formed to give new substances (products) Bond breaking requires energy while bond forming evolves energy.

 The minimum amount of energy that is required for a reaction to occur (bond breaking) is called activation energy.  Activation energy is a characteristic of a reaction, that is no two types of reactions possess the same activation energy.

 Bond   breaking is endothermic (requires/ absorbs energy) while bond forming is exothermic (gives off energy). Thus, the heat of reaction comes from breaking and forming of chemical bonds.

 Heat of reaction is negative [exothermic] when the energy required to break a bond is less than the energy liberated when a bond is formed. 

 Heat of reaction is positive [endothermic] when the energy required to break a bond is greater than the energy given off when a bond is formed.

 

  Heat of reaction - This is the amount of heat evolved or absorbed when reactants combine to form products.


 HEAT CHANGES IN CHEMICAL REACTIONS

** HEAT OF FORMATION

This is the amount of heat evolved or absorbed when one mole of a substance is formed from its elements. it is also known as enthalpy of formation

The standard heat of formation of a substance(∆Hfθ) is the heat evolved or absorbed, when one mole of the substance is formed from its elements under standard conditions.

When 1 mole of liquid water is formed from the elements hydrogen and Oxygen the equation of the reaction is

H2(g)  + 1/2O2(g) →H2O(1)          ∆Hfθ  = - 285kJmol-1

Therefore, ∆Hfθ of water = - 285kJmol-1

 

HEAT OF NEUTRALIZATION

The standard heat of neutralization ∆Hnθ  is the amount of heat evolved when 1 mole of hydrogen ions, H+, from an acid reacts with 1 mole of hydroxide ions, OH-, from an alkali to form 1 mole of water under standard conditions. 

Heat of neutralization is also known as heat of formation of one mole of water from its ionic components. It is always exothermic

    H+(aq) + OH-(aq)  →  H2O(l)            ∆Hnθ  = – 57.4kJmol-1

 

HEAT OF COMBUSTION

  The standard heat of combustion of a substance, ∆HCθ; is the heat evolved when one mole of the substance is burned completely in oxygen under standard conditions.

 A bomb calorimeter is the apparatus used for the determination of the heat of combustion of a substance.

The following expression can be used to determine the Heat of combustion of a substance

Heat of combustion = Heat energy produced   x molar mass
                                               Mass burnt                          1

When the heat evolved by the burning substance is used to raise the temperature of a known mass of water, then the expression for heat of combustion can be given as:

Heat of combustion =  mc∆θ        x molar mass
                                   Mass burnt              1

Where m = mass of water

            C = Specific heat capacity of water

           ∆θ = change in temperature, that is, θ2 – θ1

 

HEAT OF SOLUTION

Standard heat of solution, ∆Hsθ , is the amount of heat evolved or absorbed when 1 mole of substance is dissolved in so much water that further dilution results in no detectable or noticeable heat change at standard temperature and pressure.  

 Heat of solution can be exothermic or endothermic.

The heat of solution involves two energies I. Latice energy and II. hydration energy 

I. Lattice energy is the energy released when one mole of an ionic solid is formed from its gaseous ions (or the energy needed to separate the solid into gaseous ions).

In simple terms, it shows how strongly the positive and negative ions attract each other in an ionic compound. It is endothermic 

Example

For sodium chloride:

Na+(g) + Cl-(g) →NaCl(s)

The energy released when these ions come together to form solid NaCl is called its lattice energy.

II. Hydration energy is the energy released when one mole of gaseous ions is dissolved in water and becomes surrounded by water molecules.

In simple terms, it is the energy given out when ions mix with water.

Example

When sodium chloride dissolves in water:

Na+(g) + Cl-(g) →Na+(aq) + Cl-(aq)

The energy released when the ions become hydrated (surrounded by water molecules) is called hydration energy. It is exothermic.

                                      THERMODYNAMICS

Thermodynamics is the study of relationship between heat and other forms of energy.

A System in thermodynamics is any part of the universe chosen for thermodynamics consideration, i.e. the physical and chemical phenomenon or process occurring in a given environment.  A system can be isolated, closed or open.

 A Surrounding is the environment in which a reaction or a process occurs.

  


The first law of thermodynamics: - this law states that energy can neither be created nor destroyed but may be converted from one form to another.

In thermodynamics, we represent heat by q and all other forms of energy are referred to as work denoted by w.  The conditions or state of a chemical system changes when:

i.          Heat is evolved or absorbed, and / or

ii.         Work is done on or by the system

In any case, the internal energy, U, of the system is affected and it changes.

From first law, heat is changed into internal energy of the system, and it may be represented by the expression 

change in internal energy = Heat absorbed by the system + Work done by the system

i.e.       U          =          q          +          w

Work done by the system is negative since this lead to decrease in internal energy, therefore:

       U          =          q          -           w

For a gaseous system,  

 w  =  P  V                 (substituting for w)

             U     =            q      -     P V

             U      =            H     -    P V

            H       =            U      -    P V

 

SECOND LAW OF THERMODYNAMIC

The second law of thermodynamic states that a spontaneous process occurs only if there is an increase in the entropy of a system and its surroundings.

A Spontaneous reaction is one which can occur by itself without any source of external energy.  

Factors which determine the spontaneity (spontaneous) of a reaction are:

i.               enthalpy, H: The heat content of the substances involved

ii.              entropy, S: The measure of degree of disorderliness or randomness of a substance

iii.            free energy G: The energy which is available for doing work.

 

ENTROPY (S)

Entropy is defined as the measure of degree of disorderliness or randomness of a system.

 The standard entropy change (∆Sθ) of a system is a state (solid, liquid or gas) function because it depends on the initial and final state of the system. That is:

∆Sθ = Sθproducts - Sθreactants

The S.Iunit of is JK-1mol-1

 

Entropy increases from solid to liquid to gaseous state because as a substance goes from solid to liquid to gaseous state, the randomness of its particles increases, that is; ∆Sθ tends to positive.

For a reversible process at constant temperature,                          

                              S   =     H/T

When ∆S is positive, there is increase in entropy.  When ∆S is negative there is decrease in the entropy of a system.

 

 

GIBB’S FREE ENERGY

this is the amount of energy set aside by a body for doing work. The free energy of a system is the energy which is available for doing work in the system; that is, it is the driving force that brings about a chemical change.

The standard free energy change (∆Gθ) is a state function because it depends on the initial and final state of the system. That is:

∆Gθ = Gθproducts - Gθreactants

Free energy takes into account the effect of the enthalpy and entropy factors as represented in the equation below: and so, the relationship between the three factors is shown below.

            G = H-TS

For a change at constant temperature,

       △G =     △H - T△S

NOTE:

1.         When    △G is negative, the reaction is spontaneous or feasible.

2.       When   △G is positive, the reaction is not spontaneous, unless the resultant effect of both   H and    S leads to a net decrease in     G

 3.        When   △G is zero, the system is in equilibrium

 

Example: The reaction:     C(s) + O2(g) → CO2(g)

is carried out at a temperature of 57oC.  If the enthalpy change is -5000J and the entropy change is +15J.Calculate the free energy change

Solution:    

△G =         △H  - T △S

   =  -5000  - (57 + 273)  x  (+15)

   =       -5000   - 330 x 15

   =       -5000  - (+4950)

   =       -5000   - 4950

   =       -9950J or -9.950kJ

 OBJECTIVE QUESTIONS 

1. Heat energy is best defined as
A. energy due to position
B. energy due to motion
C. energy transferred because of temperature difference
D. chemical energy

2. The SI unit of heat energy is
A. calorie
B. joule
C. kelvin
D. watt

3. Heat always flows from
A. colder body to hotter body
B. hotter body to colder body
C. solid to liquid
D. liquid to gas

4. Which of the following is an endothermic process?
A. Burning of wood
B. Respiration
C. Melting of ice
D. Neutralization reaction

5. A reaction that releases heat to the surroundings is called
A. exothermic
B. endothermic
C. reversible
D. equilibrium

6. During an exothermic reaction, the temperature of the surroundings
A. decreases
B. remains constant
C. increases
D. becomes zero

7. The heat required to raise the temperature of 1 kg of a substance by 1°C is called
A. latent heat
B. specific heat capacity
C. heat of reaction
D. enthalpy

8. Which of the following reactions is exothermic?
A. Decomposition of calcium carbonate
B. Photosynthesis
C. Burning of fuel
D. Melting of ice

9. The heat absorbed or released during a chemical reaction is called
A. thermal energy
B. heat of reaction
C. kinetic energy
D. bond energy

10. Which instrument is used to measure heat energy changes in reactions?
A. Thermometer
B. Barometer
C. Calorimeter
D. Hygrometer

11. When ammonium chloride dissolves in water and the solution becomes cold, the process is
A. exothermic
B. endothermic
C. neutral
D. reversible

12. Which of the following requires heat to proceed?
A. Combustion
B. Freezing of water
C. Decomposition of potassium chlorate
D. Neutralization

13. Heat is transferred mainly by all except
A. conduction
B. convection
C. radiation
D. condensation

14. In an endothermic reaction, energy is
A. given out
B. absorbed
C. destroyed
D. converted to mass

15. Which of the following increases the rate of a chemical reaction?
A. Decrease in temperature
B. Increase in temperature
C. Cooling the reactants
D. Removing heat

16. During photosynthesis, energy is
A. released
B. absorbed
C. destroyed
D. ignored

17. The breakdown of calcium carbonate using heat is an example of
A. exothermic reaction
B. endothermic reaction
. combustion
D. neutralization

18. The total heat content of a substance is known as
A. entropy
B. enthalpy
C. pressure
D. volume

19. Which of the following best describes heat?
A. A form of mass
B. A form of matter
C. A form of energy
D. A chemical

20. When heat is added to reactants, the reaction is more likely to
A. slow down
B. stop
C. speed up
D. reverse


SECTION B: Laws of Thermodynamics

21. The First Law of Thermodynamics is based on the principle of
A. conservation of mass
B. conservation of energy
C. entropy
D. heat flow

22. Which statement best describes the First Law of Thermodynamics?
A. Energy can be created
B. Energy can be destroyed
C. Energy cannot be created or destroyed but can be converted
D. Heat always flows from hot to cold

23. The Second Law of Thermodynamics states that heat
A. flows from cold to hot naturally
B. flows from hot to cold naturally
C. cannot be transferred
D. remains constant

24. A machine that converts all heat into work without loss is
A. efficient
B. possible
C. impossible
D. practical

25. The degree of disorder in a system is known as
A. enthalpy
B. entropy
C. energy
D. temperature

26. According to the Second Law of Thermodynamics, the entropy of the universe
A. decreases
B. increases
C. remains constant
D. becomes zero

27. Which law explains why heat engines are not 100% efficient?
A. First law
B. Second law
C. Third law
D. Boyle’s law

28. The Third Law of Thermodynamics states that the entropy of a perfect crystal at absolute zero is
A. maximum
B. minimum
C. zero
D. infinite

29. Which temperature is called absolute zero?
A. 0°C
B. 100°C
C. –273°C
D. 273°C

30. A spontaneous process is one that
A. requires no energy
B. occurs naturally
C. decreases entropy
D. stops heat flow



THEORY QUESTIONS 


  1. (a) Define heat energy.
    (b) Distinguish between exothermic and endothermic reactions.
    (c) Give two examples each of exothermic and endothermic reactions.

  2. (a) What is enthalpy change of a reaction?
    (b) Explain the meaning of positive and negative enthalpy change.
    (c) Sketch and label an energy profile diagram for:
    (i) an exothermic reaction
    (ii) an endothermic reaction.

  3. (a) Define activation energy.
    (b) Explain why some reactions do not occur at room temperature.
    (c) Describe the effect of a catalyst on activation energy.

  4. (a) State Hess’s law.
    (b) Explain Hess’s law using a suitable energy cycle.
    (c) Give one practical application of Hess’s law.

  5. (a) What is heat of neutralization?
    (b) Write a balanced chemical equation for the neutralization of hydrochloric acid with sodium hydroxide.
    (c) State the standard heat of neutralization for strong acids and bases and explain why it is nearly constant.

  6. (a) Define heat of combustion.
    (b) Write an equation for the combustion of methane.
    (c) Explain why heat of combustion values are usually negative.

  7. (a) What is an energy profile diagram?
    (b) With the aid of a diagram, explain how a catalyst affects the energy profile of a reaction.

  8. (a) Define bond energy.
    (b) Explain how bond energy can be used to calculate the enthalpy change of a reaction.
    (c) Calculate the enthalpy change for the reaction:
    H₂(g) + Cl₂(g) → 2HCl(g)
    (Given: H–H = 436 kJ mol⁻¹, Cl–Cl = 243 kJ mol⁻¹, H–Cl = 431 kJ mol⁻¹)

  9. (a) What is the law of conservation of energy?
    (b) Explain how this law applies to chemical reactions.

  10. (a) Define calorimetry.
    (b) Describe a simple experiment to determine the heat of reaction using a calorimeter.
    (c) State two sources of error in calorimetric experiments.

  11. (a) What is heat of solution?
    (b) Explain why dissolving ammonium chloride in water causes a fall in temperature.
    (c) Give one practical application of endothermic reactions.

  12. (a) Differentiate between heat and temperature.
    (b) State two units of heat energy.
    (c) Explain why stirring increases the rate of heat transfer in a chemical reaction.

  13. (a) Define standard conditions for thermochemical measurements.
    (b) State two reasons why standard conditions are necessary.

  14. (a) What is the effect of heat on the rate of chemical reaction?
    (b) Explain your answer using the collision theory.

  15. (a) Define thermochemistry.
    (b) State three areas of application of thermochemistry in everyday life.

     16. (a) State the first law of thermodynamic

           (b) Calculate: (a)     the heat adsorbed by a system when it does 72J of work and its internal energy decreases by 90J

(b) U for a gas that releases 35J of heat and has 128J of work done on it.

TYPES OF CHEMICAL REACTIONS at a glance

  Chemical reactions are reactions in which elements or/and compounds combine chemically to form new substances.

There are different types of chemical reactions, they include 

1.   Combinations reactions 

2.   Decomposition reactions 

3.   Displacement reaction

4.   Double decomposition reaction

5.   Thermal Dissociation reaction 

6.    Reversible reaction

7.  Catalytic reaction


🔗 Combination Reaction (Short Note)

A combination reaction is a chemical reaction in which two or more substances combine to form one single product.

It is also called a synthesis reaction.

General Form

A + B → AB

Examples

  1. Formation of magnesium oxide

    2Mg(s) + O2(g) →2MgO(s)

  2. Formation of water

    2H2(g) + O2(g) →2H2O(l)

  3. Formation of ammonia  

    N2(g) + 3H2(g) →2NH3(g)

  4. Formation of calcium oxide

    CaO(s) + CO2(g)→ CaCO3(s)


🧠 Important Tip

In a combination reaction, many reactants give one product.


🧪 Decomposition Reaction

A decomposition reaction is a chemical reaction in which one compound breaks down into two or more simpler substances when heat, electricity, or light is applied.

General Form


AB → A + B

Types and Examples

1. Thermal Decomposition (by heat)


CaCO3(s) {heat} CaO(s) + CO2(g)

(Calcium carbonate breaks into calcium oxide and carbon dioxide.)


2. Electrolytic Decomposition (by electricity)


2H2O(l) {electricity} 2H2(g) + O2(g)


3. Photochemical Decomposition (by light)


2AgCl(s) {sunlight} 2Ag(s) + Cl2(g)

🧠 Important Tip

If one compound splits into two or more products, it is a decomposition reaction.


🔁 Displacement Reactions 

A displacement reaction is a chemical reaction in which a more reactive element replaces a less reactive element from its compound.

It usually occurs between a metal and a salt solution.

General Equation

A + BC → AC + B
(Where A is more reactive than B)

Examples

  1. Zinc and copper (II) sulphate
    Zn(s) + CuSO4(aq) → ZnSO4(aq) + Cu(s)

  2. Zinc displaces copper because zinc is more reactive.

  3. Iron and copper (II) sulphate

    Fe(s) + CuSO4(aq) → FeSO4(aq) + Cu(s)

  4. Copper and silver nitrate

  5. Cu(s) + 2AgNO3(aq) → Cu(NO3)2(aq) + 2Ag(s)

Important Points

  • Only a more reactive metal can displace a less reactive metal.

  • The reaction depends on the reactivity series.

🧠 Important Tip

If a metal is higher in the reactivity series, it will displace a metal below it from solution.



🔄 Double Decomposition Reaction

A double decomposition reaction (also called double displacement or metathesis reaction) is a chemical reaction in which two compounds exchange their ions to form two new compounds.


General Form


AB + CD → AD + CB


Examples

  1. Reaction between sodium chloride and silver nitrate

    NaCl(aq) + AgNO3(aq) → AgCl(s) + NaNO3(aq)

  2. Reaction between barium chloride and sodium sulphate

    BaCl2(aq) + Na2SO4(aq) →BaSO4(s) + 2NaCl(aq)

  3. Reaction between hydrochloric acid and sodium hydroxide

    HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)

(This is also a neutralization reaction.)

Important Points

  • The reaction usually occurs in aqueous solution.

  • One of the products is often a precipitate, gas, or water.

🧠 Important Tip

If two compounds exchange ions to form new compounds, it is a double decomposition reaction.


🔥 Thermal Dissociation (Short Note)

Thermal dissociation is a process in which a compound splits into simpler substances when heated, and the reaction is reversible.

When the temperature is lowered, the products can recombine to form the original compound.


General Form


AB →  A + B



Examples

  1. Ammonium chloride

    NH4Cl(s) \xrightleftharpoons{heat} NH3(g) + HCl(g)

  2. Dinitrogen tetroxide
    [
    N2O4(g) \xrightleftharpoons{heat} 2NO2(g)
    ]

  3. Calcium carbonate
    [
    CaCO3(s) \xrightleftharpoons{heat} CaO(s) + CO2(g)
    ]


🧠 Important Tip

If a substance breaks on heating and reforms on cooling, it shows thermal dissociation.



🔄 Reversible Reaction

A reversible reaction is a chemical reaction in which the products can react together to reform the original reactants.

It occurs in both forward and backward directions at the same time.


Symbol

[
A + B \rightleftharpoons C + D
]


Examples

  1. Formation of ammonium chloride

    NH3(g) + HCl(g) → NH4Cl(s)

  2. Dinitrogen tetroxide and nitrogen dioxide

  3. N2O4(g) ⇌ 2NO2(g) 

  4. Haber process

    N2(g) + 3H2(g)⇌ 2NH3(g)
     


🧠 Important Tip

If a reaction can go both forward and backward, it is a reversible reaction.



Catalytic Reaction

A catalytic reaction is a chemical reaction in which a substance called a catalyst increases the rate of the reaction without being used up or changed permanently.


Catalyst

A catalyst is a substance that speeds up a chemical reaction but remains unchanged at the end of the reaction.


Examples

  1. Decomposition of hydrogen peroxide

  2.   2H2O2(aq) ---{MnO2}--->2H2O(l) + O2(g)

  3. Haber process (manufacture of ammonia)

    N2(g) + 3H2(g) ---{Fe}---> 2NH3(g)

  4. Contact process (manufacture of tetraoxosulphate VI acid)

    2SO2(g) + O2(g) ---{V2O5}---> 2SO3(g)


🧠 Important Tip

A catalyst alters the rate of a reaction but is not used up in the process.


⚡ IONIC THEORY & ELECTROLYSIS — AT A GLANCE /summary

 


🔹 Ionic Theory

Ionic compounds dissociate into charged particles (ions) when dissolved in water or melted.

This process is called ionization.


🔹 Electrolysis

The decomposition of a compound by passing electricity through its molten form or solution.


🔹 Electrolytes

Substances that conduct electricity in molten or aqueous state and decompose.

Type                       DescriptionExamples
Strong         Fully ionizeNaCl, acids, alkalis
Weak       Partially ionizeCH₃COOH, NH₃
Non      Do not ionizeSugar, alcohol, oil

🔹 Important Terms

TermMeaning
AnodePositive electrode (oxidation)
CathodeNegative electrode (reduction)
CationPositive ion → cathode
AnionNegative ion → anode
Electrolytic cellContainer with electrodes & electrolyte

🔹 Factors That Control Discharge of Ions

  1. Position in electrochemical series

  2. Concentration of ions

  3. Nature of electrodes


🔹 Products of Electrolysis

ElectrolyteCathodeAnode
Acidified waterHydrogen (H₂)Oxygen (O₂)
Brine (NaCl)Hydrogen (H₂)Chlorine (Cl₂)
CuSO₄ solutionCopper (Cu)Oxygen (O₂)

🔹 Uses of Electrolysis

  • Extraction of metals (Na, Al, Mg)

  • Purification of copper

  • Electroplating

  • Production of H₂, Cl₂, NaOH


🧠 Important Quick Tip

The ion that is discharged depends on electrochemical series, concentration and electrode used.



🧪 Carbon and Its Allotropes – Summary

 

Carbon is found in Group IV, Period II of the periodic table. Its electronic configuration is 1s² 2s² 2p². It occurs naturally in different forms called allotropes.


🔹 Allotropy

Allotropy is the ability of an element to exist in two or more different forms in the same physical state.

  • Crystalline allotropes: Diamond, Graphite, Fullerenes
  • Amorphous forms: Coal, Charcoal, Coke, Soot, Lampblack

💎 Diamond

Diamond is a pure crystalline form of carbon with a strong tetrahedral structure.

  • Hardest natural substance
  • High melting point
  • Does not conduct electricity
  • Transparent and shiny

Uses: cutting tools, drilling, jewelry, precision instruments.


✏️ Graphite

Graphite has flat layers of carbon atoms with free electrons.

  • Soft and slippery
  • Good conductor of electricity
  • High melting point

Uses: pencil lead, lubricant, electrodes, crucibles.


⚽ Fullerenes

Fullerenes (e.g. C60) are spherical carbon molecules called buckyballs. They are used in medicine, electronics and materials science.


🖤 Amorphous Carbon

  • Charcoal – absorbs gases and colours
  • Carbon black & lampblack – used in tyres, inks and polish
  • Coal – used mainly as fuel

🪨 Types of Coal

  • Peat – about 60% carbon
  • Lignite – about 67% carbon
  • Bituminous – about 88% carbon
  • Anthracite – about 94% carbon (hardest and purest)

🔥 Destructive Distillation of Coal

Heating coal to a high temperature in the absence of air produces:

  • Coke
  • Coal gas
  • Coal tar
  • Ammoniacal liquor

🔥 Fuel Gases

  • Producer gas – CO + N2
  • Water gas –      CO + H2
  • Synthetic gas – CO + H2

🧪 Chemical Properties of Carbon

  • Burns in oxygen to form CO2 or CO
  • Combines with elements like sulphur and hydrogen
  • Acts as a reducing agent in metal extraction
  • Is oxidized by strong acids to form CO2

🧪 Kinetic Theory of Gases at a glance



🔹 Meaning

The kinetic theory of gases states that gases are made up of tiny particles (molecules or atoms) which are in constant random motion. The behavior of gases is explained based on the motion and collisions of these particles.

🔹 Main Ideas of the Theory

  • Gas particles are very small.

  • They are far apart from one another.

  • They move freely and rapidly in all directions They collide with one another and with the walls of their container.

🔹 Assumptions (Postulates) of the Kinetic Theory of Gases

  1. Gases molecules move randomly in straight lines colliding with one another r and with the walls of the container 

  2. Collisions between gas molecules and the walls of the container are perfectly elastic (no energy is lost)

  3. The volume of the gas molecules is negligible compared to the volume of the container.

  4. There are no forces of attraction between gas molecules.

  5. The average kinetic energy of gas molecules is directly proportional to the absolute temperature.

  6. Gas pressure is caused by the continuous collision of gas molecules with the walls of the container.

🔹 Explanation of Gas Properties Using Kinetic Theory

1. Pressure

Gas pressure is due to the collisions of gas molecules with the walls of the container.

2. Volume

Gases occupy the entire volume of their container because the molecules move freely.

3. Temperature

When temperature increases, gas molecules gain kinetic energy and move faster.

4. Diffusion

Gases mix easily because their particles move freely and randomly.

🔹 Limitations of the Kinetic Theory

  • It assumes gas molecules have no volume.

  • It ignores forces of attraction between molecules.

  • It does not apply well to real gases at high pressure or low temperature.

🧠 Important Tip

Increase in temperature leads to increase in the kinetic energy of gas molecules. 

The study of the relationship between the variables above as regards the behaviour of gases studied by scientists like Boyle's, Charles, Avogadro's, Gay Lussacs, Grahams and Dalton. Each relationship is discussed in separate posts

 


🧪 Laboratory Safety Rules and Guidelines at a glance


🔹 Meaning

Laboratory safety rules are instructions that guide students and scientists on how to work safely in the chemistry laboratory to prevent accidents and injuries.

🔹 General Safety Rules

  1. Always wear lab coat, goggles and gloves

  2. Do not eat, drink or chew anything in the laboratory

  3. Read instructions before starting any experiment

  4. Handle chemicals carefully

  5. Do not taste or smell chemicals directly

  6. Keep the laboratory clean and tidy

  7. Work only when the teacher is present

🔹 Handling Chemicals

  • Read the label before using any chemical

  • Do not mix chemicals unless instructed

  • Use small quantities of chemicals

  • Do not return unused chemicals to bottles

🔹 Handling Apparatus

  • Do not use broken or cracked glassware

  • Handle hot objects with tongs

  • Turn off gas and electrical appliances after use

  • Keep flammable materials away from fire

🔹 In Case of Accident

  • Report immediately to the teacher

  • Wash spilled chemicals with plenty of water

  • Use fire extinguishers or sand for fire

  • Do not panic

🔹 Importance of Laboratory Safety

  • Prevents accidents

  • Protects life and property

  • Ensures smooth experiments

  • Maintains a good learning environment

🧠 Important Tip

Most laboratory accidents occur due to carelessness and failure to follow safety rules.


🧪 Objective Questions

1. Which of the following is a laboratory safety rule?
A. Eating in the lab
B. Wearing a lab coat
C. Running in the lab
D. Playing with chemicals

2. The main reason for wearing goggles in the laboratory is to
A. look smart
B. protect the eyes
C. increase vision
D. avoid reading

3. Chemicals should never be tasted because they are
A. expensive
B.  poisonous
C. colourless
D.  hot

4. Broken glassware should be
A. used carefully
B. thrown on the floor
C. reported to the teacher
D. ignored

5. Which of the following should be done before starting an experiment?
A. Eat food
B. Read instructions
C. Run around
D. Touch chemicals

6. In case of chemical spill on the skin, one should
A. wipe with cloth
B. wash with plenty of water
C. ignore it
D. cover it

7. Which of the following is NOT allowed in the laboratory?
A. Wearing gloves
B. Drinking water
C. Using tongs
D. Wearing goggles

8. Flammable substances should be kept
A. near fire
B. in open flames
C. away from fire
D. on the floor

9. When heating substances, you should use
A. hands
B. tongs
C. books
D. paper

10. The safest behavior in the laboratory is to
A. follow safety rules
B. rush experiments
C. play with chemicals
D. ignore instructions

✍️ Theory Questions

  1. What are laboratory safety rules?

  2. State five laboratory safety rules.

  3. Give four reasons why safety rules are important in the chemistry laboratory.

  4. What should be done when chemicals spill on the skin?

  5. Mention four ways to prevent accidents in the laboratory.


🧪 Hazards, Causes and Prevention in the Chemistry Laboratory


🔹 Meaning of Laboratory Hazards

Laboratory hazards are dangerous situations or substances in the chemistry lab that can cause injury, illness, fire, or damage if not handled properly.

⚠️ Common Laboratory Hazards

  1. Chemical hazards – toxic, corrosive or flammable chemicals

  2. Fire hazards – Bunsen burners, alcohol, gas leaks

  3. Glassware hazards – broken test tubes, beakers

  4. Electrical hazards – faulty wires, wet hands

  5. Biological hazards – harmful microorganisms

🔥 Causes of Laboratory Accidents

  1. Carelessness or playing in the lab

  2. Not wearing protective clothing

  3. Wrong handling of chemicals

  4. Spilling chemicals

  5. Using broken or damaged equipment

  6. Poor ventilation

  7. Not following instructions

🛡 Prevention of Laboratory Accidents

  1. Always wear lab coat, goggles and gloves

  2. Read labels on chemical bottles carefully

  3. Do not eat or drink in the lab

  4. Handle glassware with care

  5. Keep flammable substances away from fire

  6. Wash hands after experiments

  7. Report spills and accidents immediately

  8. Follow the teacher’s instructions

🧠 Important note

Most laboratory accidents occur due to carelessness and improper handling of chemicals 


🧪 Objective Questions

1. A laboratory hazard is
A. a useful chemical
B. a dangerous condition in the laboratory
C. laboratory equipment
D. a laboratory rule

2. Which of the following is a chemical hazard?
A. Broken glass
B. Acid
C. Water
D. Paper

3. Wearing goggles in the laboratory is to
A. look smart
B. prevent eye injury
C. make experiments faster
D. increase concentration

4. Which of the following can cause fire in the laboratory?
A. Sand
B. Spirit lamp
C. Salt
D. Water

5. Spilling chemicals on the skin should be treated by
A. wiping with cloth
B. washing with plenty of water
C. covering with paper
D. ignoring it

6. Which of the following is NOT a laboratory hazard?
A. Broken beaker
B. Toxic gas
C. Notebook
D. Open flame

7. Eating in the laboratory is dangerous because
A. food is expensive
B. chemicals may enter the body
C. it causes noise
D. it wastes time

8. Fire in the laboratory can be caused by
A. acids
B. water
C. flammable liquids
D. glass

9. Which safety equipment protects the hands?
A. Goggles
B. Gloves
C. Lab coat
D. Mask

10. The best way to prevent laboratory accidents is to
A. rush experiments
B. follow safety rules
C. ignore instructions
D. avoid chemicals

✍️ Theory Questions (WAEC / NECO)

  1. Define laboratory hazards.

  2. List three types of laboratory hazards.

  3. State four causes of laboratory accidents.

  4. Mention five safety precautions in a chemistry laboratory.

  5. Explain why eating in the laboratory is dangerous.


 

Equillibrium at a glance revision

 🧪 Chemical Equilibrium – At a Glance

🔹 Meaning

Chemical equilibrium is the state in a reversible reaction when the rate of the forward reaction equals the rate of the backward reaction.

        

                                   🔹 Key Features

  • The reaction is dynamic (still going on).

  • Concentrations of reactants and products remain constant.

  • It occurs only in a closed system.

🔹 Reversible Reaction

A reversible reaction is one that can go both forward and backward.

Example:

N2 + 3H2 ⇌ 3NH3

🔹 Le Chatelier’s Principle

When a system is in equilibrium and it is disturbed by an external constraint the equilibrium will adjust itself so as to oppose the disturbance in order to restore equilibrium.


🔹 Factors Affecting Equilibrium

ChangeEffect
Increase in concentration of reactantsShifts equilibrium to the right
Increase in concentration of productsShifts equilibrium to the left
Increase in pressure (gases)Favors the side with fewer gas molecules
Increase in temperature
Decrease in temperature 
Favors the endothermic reaction
Favors the exothermic reaction 
CatalystDoes not change equilibrium position

🔹 Role of a Catalyst

A catalyst alters both forward and backward reactions but does not change the equilibrium position.

🔹 Important Tip

At equilibrium, reactions do not stop — only the rates become equal.


Saturday, 10 January 2026

Kinetic Theory of Matter Revision

📌 Kinetic Theory of Matter – At a Glance

Meaning:
The kinetic theory of matter states that all matter is made up of tiny particles which are in constant random motion.


🔍 Main Ideas

  • Matter is made up of tiny particles.
  • These particles are always moving.
  • There are spaces between the particles.
  • There are forces of attraction between particles.
  • Particles possess kinetic energy.

📊 Particles in Different States of Matter

State Arrangement Movement
Solid Closely packed Vibrate in fixed positions
Liquid Close but not fixed Slide past one another
Gas Far apart Move freely and rapidly

🔥 Effect of Heating

  • Particles gain more kinetic energy.
  • They move faster.
  • The substance expands.

🧪 Evidence that Particles Are in Motion

  • Diffusion
  • Brownian motion
  • Osmosis
  • Evaporation
  • Expansion on heating

🎯 Gas Pressure

Gas pressure is caused by continuous collision of gas particles with the walls of the container.


📝 Important Tip

Increase in temperature → increase in kinetic energy → particles move faster. 

Kinetic Theory of Matter note for students

 According to the kinetic theory the particles that make up matter that is, atoms, molecules and ions are constantly in motion and hence possess kinetic energy. The particles in a given substance do not possess equal amount of energy, therefore, we use the term average kinetic energy of a substance. A change in temperature will cause a change in the average kinetic energy of a system or substances.  Increasing the temperature will lead to an increase in the kinetic energy of a substance and hence it can lead to a change in the state. Matter can exist in any one of three states.

States Of Mater 
1. Solid State-: The particles of mater in the solid state are held together by strong forces of cohesion such that the particles can only vibrate about a fixed point. A solid therefore possess only vibrational motion
 
Properties of a solid
a. It has definite or fixed shape
b. It has definite or fixed volume and
c. It cannot be compressed

                                                                    The solid state


2 The liquid State- The particles of a liquid are held by weaker forces of cohesion than those in solids. As a result, the particles in liquids can vibrate as well as translate (flow / move). Thus, the particles of a liquid possess both vibrational and translational energy.

Properties of a liquid
a. Have no definite shape but takes the shape of its container
b. Have a definite or fixed volume and
c. It cannot be compressed.

                                                                  The liquid state


3. The Gaseous State: - The forces of cohesion in gaseous molecules/particles are negligible as a result gaseous particles occupies their entire volume. 

Properties of a gas
a. A gas has no definite or fixed shape
b. No definite or fixed volume and
c. It can be compressed.
                                                                The Gaseous state

States of Matter and Particle Motion

  • Solid:
    Particles are closely packed and vibrate about fixed positions. They have low kinetic energy.

  • Liquid:
    Particles are close but can slide past one another. They have moderate kinetic energy.

  • Gas:
    Particles are far apart and move freely at high speed. They have high kinetic energy.

Evidence/Phenomenon to show that the particles of mater are in constant motion

1. DIFFUSION: this is the movement of solute particles from a region of higher concentration to a region of lower concentration.
diffusion can occur in solids, in liquids as well as in gases. It is fastest in gases and slowest in solids

Example of Diffusion

*** When you open a bottle of perfume in one corner of a room, after a short time people in other parts of the room can smell it. (diffusion in gases)

*** If you drop a crystal of potassium permanganate into water, the purple colour slowly spreads through the water without stirring.

That spreading is diffusion (diffusion in liquids)

***When a piece of copper is placed in contact with a piece of zinc and the two metals are heated for a long time, atoms of copper slowly move into the zinc and atoms of zinc move into the copper. After some time, an alloy (brass) is formed (diffusion in solids).

2. BROWNIAN MOTION: - This is the irregular or zigzag movement of small particles in a liquid or gas due to constant collisions with the molecules of the liquid or gas

Example of Brownian Motion

When smoke particles are seen in a beam of sunlight in a dark room, they move about randomly. That movement is also Brownian motion.

3. OSMOSIS: - This is the movement of water molecules from a region of higher concentration to a region of lower concentration through a semi-permeable membrane

Example of Osmosis

If a peeled potato is cut into strips and placed in salt water, after some time the potato becomes soft and shrinks.

This happens because water moves out of the potato cells (from a region of higher water concentration inside the potato to a region of lower water concentration in the salt solution) through a semi-permeable membrane.
This movement of water is called osmosis.

4. Evaporation

When water is left in an open container, it slowly changes into vapour even without boiling.
This happens because some water particles are moving fast enough to escape from the liquid into the air.

5. Expansion when heated When a solid, liquid or gas is heated, it expands.

This is because its particles move faster and spread farther apart.

Example:
A heated metal rod becomes longer.

6.  Sublimation

Substances like camphor or naphthalene disappear slowly when left in the open.
Their particles move directly from solid to gas because they are in constant motion.

7. Gas pressure

Air inside a balloon push against the walls of the balloon.
This is due to continuous movement and collision of gas particles.

   

 Change of State

A change of state is the physical process by which a substance changes from one state of matter to another without any change in its chemical composition. These changes occur as a result of gain or loss of heat energy, which affects the kinetic energy of the particles.

According to the kinetic theory of matter, all matter is made up of tiny particles that are in constant motion. The speed of these particles determines the state of matter.


Types of Change of State

1. Melting (Solid → Liquid)

Melting occurs when a solid is heated and changes into a liquid. Heat energy supplied increases the kinetic energy of the particles, causing them to vibrate more rapidly until they overcome the forces holding them together.

Example: Ice melting into water.

2. Freezing (Liquid → Solid)

Freezing is the change of a liquid into a solid when heat is removed. The particles lose kinetic energy and become fixed in position.

Example: Water freezing to form ice.

3. Boiling / Vaporization (Liquid → Gas)

Boiling occurs when a liquid changes into a gas at a fixed temperature called the boiling point. At this point, particles gain enough kinetic energy to escape from the liquid.

Example: Water changing to steam at 100°C.

  4. Condensation (Gas → Liquid)

Condensation occurs when a gas loses heat and changes into a liquid. The particles lose kinetic energy and move closer together.

Example: Water droplets forming on a cold surface.

5. Sublimation (Solid → Gas)

Sublimation is the direct change of a solid into a gas without passing through the liquid state.

Examples: Iodine, naphthalene, and dry ice.

6. Deposition (Gas → Solid)

Deposition is the direct change of a gas into a solid without passing through the liquid state.

Example: Frost formation.



Role of Heat Energy

  • Heating: Increases particle kinetic energy → change to a higher energy state.

  • Cooling: Decreases particle kinetic energy → change to a lower energy state.

Important Exam Points 

  • Change of state is a physical change.

  • No new substance is formed.

  • Temperature remains constant during change of state until the process is complete.

  • Explained using kinetic energy of particles.


OBJECTIVE QUESTIONS

1. The kinetic theory of matter states that matter is made up of

A. ions
B. molecules
C. tiny particles
D. compounds

2. According to the kinetic theory, particles of matter are always
A. at rest
B. vibrating only
C. in constant motion
D. fixed in position

3. Which of the following best explains diffusion?
A. Attraction between particles
B. Movement of particles from high to low concentration
C. Chemical reaction
D. Expansion of solids

4. Brownian motion is caused by
A. gravity
B. heat
C. collision of molecules
D. evaporation

5. Which state of matter has particles that are far apart and move freely?
A. Solid
B. Liquid
C. Gas
D. Plasma

6. The force of attraction between particles is strongest in
A. gases
B. liquids
C. solids
D. vapour

7. When a solid is heated, its particles
A. stop moving
B. move faster
C. move closer
D. disappear

8. Which of the following shows that gas particles are in motion?
A. Crystallization
B. Diffusion of gas
C. Freezing
D. Condensation

9. The random movement of smoke particles in air is called
A. diffusion
B. evaporation
C. Brownian motion
D. osmosis

10. The kinetic energy of particles increases when
A. temperature decreases
B. temperature increases
C. pressure decreases
D. volume decreases

11. In which state of matter do particles vibrate about fixed positions?
A. Gas
B. Liquid
C. Solid
D. Vapour

12. Osmosis occurs because of
A. random motion of particles
B. chemical reaction
C. evaporation
D. heating

13. Which of the following best describes particles in a liquid?
A. Fixed and tightly packed
B. Far apart and free
C. Close together and able to move
D. Completely motionless

14. The spreading of perfume in a room is due to
A. osmosis
B. diffusion
C. evaporation
D. freezing

15. The kinetic theory explains that gas pressure is due to
A. weight of gas
B. collisions of particles with container walls
C. chemical reactions
D. gravity

16. Which of these is evidence that particles of matter are in motion?
A. Expansion when heated
B. Rusting
C. Burning
D. Melting

17. When temperature increases, the average kinetic energy of particles
A. decreases
B. remains constant
C. increases
D. becomes zero

18. Particles in a gas have
A. very strong forces of attraction
B. weak forces of attraction
C. no energy
D. fixed positions

19. Diffusion occurs fastest in
A. solids
B. liquids
C. gases
D. crystals

20. The kinetic theory of matter is used to explain
A. chemical reactions
B. structure of atoms
C. behaviour of solids, liquids and gases
D. electricity


Theory Questions 

A crystal of potassium permanganate is dropped into a beaker of water. After some time, the purple colour spreads throughout the water even without stirring.

(a) Name the process responsible for this.
(b) Explain why the colour spread



 region of lower concentration through a semi permeable membrane.

Boyles Law

 BOYLE’S LAW

Boyles states that the volume of a given mass of gas is inversely proportional to the pressure provided the temperature remains constant.

 This means that:

  • When pressure increasesvolume decreases

  • When pressure decreasesvolume increases

Mathematically,

       V α 1/P

       V = k/P

       PV = k

Hence,         P1V1 = P2V2

Boyle’s law can be represented graphically as shown below.

1. Pressure vs Volume (inverse curve):

 


2. Pressure vs 1/Volume (straight line):

  

The graph shows that if the pressure is doubled, the volume is reduced to half its former value and if it is halved, the volume is doubled.

 

EXPLANATION OF BOYLE’S LAW USING THE KINETIC THEORY

If a gas is compressed into a smaller space (when the volume of fixed mass of gas is decreased) the molecules of the gas will collide with each other more rapidly ( i.e the gas particles hit the walls of the container more often). This gives rise to an increase in pressure. However, If the volume is increased, the particles have more space to move, so the pressure decreases. 


Examples of Boyle’s Law

  • When you push the plunger of a syringe, the air inside is compressed and the pressure increases.

  • A bicycle pump works because reducing the volume of air increases its pressure.

Conclusion

Boyle’s Law shows the relationship between the pressure and volume of a gas at constant temperature.

example of calculations on Boyles law 

1. 200cm3 of a gas has a pressure of 510mmHg. What will be its volume if pressure in increased to 780mmHg, assuming there is no change in temperature?

    Solution:

    V= 200cm3, P1 = 510mmHg,       P= 780mmHg V2 =?

    Using the expression for Boyle’s law:

       P1V1 = P2V2

   V2 = P1V1  =  510mmHg x 200cm3 = 130.769 = 131 cm3
                P2              780mmHg



EASYKEMISTRY

CHEMISTRY TEST – BOYLE’S LAW
Time: 30 minutes

Name: __________________________ Class: __________ Date: __________

Choose the correct option from A–D

1. Boyle’s law states that for a fixed mass of gas at constant temperature,
A. pressure is directly proportional to volume
B. pressure is inversely proportional to volume
C. pressure is equal to volume
D. pressure is proportional to temperature

2. Which of the following is kept constant in Boyle’s law?

A. Pressure
B. Volume
C. Temperature
D. Mass and volume

3. If the volume of a gas is reduced to half at constant temperature, the pressure will

A. remain the same
B. be doubled
C. be halved
D. become zero

4. The mathematical expression for Boyle’s law is

A. V = kP
B. PV = k
C. P + V = k
D. P = k 
    V

5. A gas has a volume of 20 cm³ at a pressure of 2 atm. What will be its volume at 4 atm?

A. 5 cm³
B. 10 cm³
C. 20 cm³
D. 40 cm³

6. According to Boyle’s law, when pressure decreases, the volume of a gas

A. decreases
B. increases
C. remains constant
D. becomes zero

7. Which of the following devices works based on Boyle’s law?

A. Thermometer
B. Barometer
C. Syringe
D. Voltmeter

8. A graph of pressure against volume for a fixed mass of gas at constant temperature is

A. a straight line
B. a curve
C. a horizontal line
D. a vertical line

9. A gas occupies 40 cm³ at 1 atm. What will be its pressure if the volume is reduced to 10 cm³?

A. 2 atm
B. 3 atm
C. 4 atm
D. 5 atm

10. Boyle’s law is valid only when the

A. pressure is constant
B. volume is constant
C. temperature is constant
D. gas is solid

11.   A gas occupies 100 cm³ at 2 atm. What will be its volume at 1 atm, temperature remaining constant?

A. 50 cm³
B. 100 cm³
C. 150 cm³
D. 200 cm³

12.   Which of the following graphs best represents Boyle’s law?

A. Pressure vs Temperature
B. Volume vs Temperature
C. Pressure vs Volume
D. Mass vs Volume

13.  If the pressure of a gas is increased four times, its volume will become
A. four times
B. half
C. one quarter
D. double

14.  A gas occupies 60 cm³ at 3 atm. What will be its volume at 6 atm?
A. 10 cm³
B. 20 cm³
C. 30 cm³
D. 40 cm³

15.  Boyle’s law is useful in explaining the operation of
A. a thermometer
B. a hot-air balloon
C. a bicycle pump
D. a barometer

16.  A gas has a pressure of 4 atm and a volume of 50 cm³. What is the value of PV?
A. 50
B. 100
C. 150
D. 200

17.  A gas occupies 80 cm³ at 5 atm. What will be its volume at 10 atm?
A. 40 cm³
B. 60 cm³
C. 80 cm³
D. 160 cm³

18.  Which of the following statements is correct?
A. Pressure decreases when volume decreases
B. Pressure increases when volume decreases
C. Pressure is constant when volume changes
D. Pressure does not depend on volume

19.  Boyle’s law does not apply when
A. temperature is constant
B. pressure is constant
C. temperature changes
D. volume changes

20.  A gas at 1 atm occupies 500 cm³. What pressure will it have if its volume becomes 250 cm³?
A. 0.5 atm
B. 1 atm
C. 2 atm
D. 4 atm



THEORY QUESTIONS

  1. State Boyle’s law. Explain the conditions under which the law is valid.

  2. Describe an experiment to verify Boyle’s law. Include a labeled diagram of the apparatus used.

  3. Define pressure and volume as used in Boyle’s law and state their SI units.

  4. A fixed mass of gas occupies a volume of 40 cm³ at a pressure of 100 kPa.
    Calculate the new volume when the pressure is increased to 200 kPa, assuming temperature remains constant.

  5. Explain why Boyle’s law does not hold for real gases at very high pressure.

  6. State the mathematical expression of Boyle’s law and explain the meaning of each symbol used.

  7. Sketch and explain the graph of pressure against volume for a gas obeying Boyle’s law.

  8. Sketch and explain the graph of pressure against the reciprocal of volume (1/V) for Boyle’s law.

  9. A gas initially at pressure ( P1 ) and volume ( V1 ) changes to pressure ( P2 ) and volume ( V2 ).
    Derive the Boyle’s law equation relating these quantities.

  10. Mention two practical applications of Boyle’s law and explain any one of them.

  11.  Explain Boyle's law using the kinetic theory




 



Monday, 5 January 2026

GENERAL GAS EQUATION at a glance

 GENERAL GAS EQUATION

The General Gas Equation is a formula that shows the relationship between the pressure, volume, and temperature of a gas.

It is a combination of both Boyle’s and Charles law.

It is written as:


PV = K

T

P1V1  = P2V2 

   T             T


Explanation

The general gas equation combines the three gas laws:

  • Boyle’s Law (pressure and volume)

  • Charles’ Law (volume and temperature)

  • Pressure Law (pressure and temperature)

It helps us calculate any one of the gas properties if the others are known.

Example

If the pressure, volume, and temperature of a gas are known, the number of moles can be calculated using:

n = PV
      RT

THEORY QUESTIONS 

1. What is the volume at s.t.p of a fixed mass of a gas that occupies 700cm3 at 25oC and 0.84 x 105 Nm-2pressure?

    Solution:

   T1 = 273K, P1 = 1.01 x 105Nm-2, T2 = 25oC = (25 + 273) = 298K, P2 = 0.84 x 105Nm-2,

    V2 = 700cm3, V1 =?

   Using the general gas equation

P1V1 = P2V2
   T1        T2

     V1 = P2V2T1 = 0.84 x 105Nm-2 x 700cm3 x 273K = 533.337 =533cm3
              P1T2          1.01 x 105Nm-2 x 298K


     = 0.84 x 105Nm-2 x 700cm3 x 273K = 533.337 
                       1.01 x 105Nm-2 x 298K


                                           =533cm3
              

Conclusion

The general gas equation is very useful in solving problems involving gases in chemistry.


OBJECTIVE QUESTIONS 

  1. The general gas equation is expressed as
    A. ( PV = RT )
    B. ( PV = nRT )
    C. ( V = nRT )
    D. ( P = nRT )

  2. In the general gas equation ( PV = nRT ), the symbol R represents
    A. rate constant
    B. gas density
    C. universal gas constant
    D. pressure constant

  3. Which of the following quantities must be in Kelvin when using the gas equation?
    A. Pressure
    B. Volume
    C. Temperature
    D. Amount of gas

  4. The SI unit of pressure used in the general gas equation is
    A. atmosphere
    B. mmHg
    C. pascal
    D. bar

  5. The general gas equation combines which gas laws?
    A. Boyle’s and Charles’ laws only
    B. Boyle’s, Charles’ and Graham’s laws
    C. Boyle’s, Charles’ and Avogadro’s laws
    D. Dalton’s and Avogadro’s laws

  6. The value of the universal gas constant R is approximately
    A. 0.082 J mol⁻¹ K⁻¹
    B. 8.31 J mol⁻¹ K⁻¹
    C. 82.06 J mol⁻¹ K⁻¹
    D. 1.00 J mol⁻¹ K⁻¹

  7. Which of the following is the unit of R when pressure is in pascals?
    A. L atm mol⁻¹ K⁻¹
    B. J mol⁻¹ K⁻¹
    C. cm³ atm mol⁻¹ K⁻¹
    D. Nm⁻² mol⁻¹

  8. If the temperature of a gas increases while pressure is constant, the volume will
    A. decrease
    B. remain constant
    C. increase
    D. become zero

  9. One mole of an ideal gas occupies 22.4 dm³ at
    A. 0°C and 1 atm
    B. 25°C and 1 atm
    C. 0°C and 760 Pa
    D. 273°C and 1 atm

  10. The general gas equation is most accurate when gases
    A. are at very high pressure
    B. are at very low temperature
    C. behave ideally
    D. are strongly interacting

  11. In the equation ( PV = nRT ), the symbol n represents
    A. number of molecules
    B. number of atoms
    C. amount of gas in moles
    D. mass of gas

  12. Which condition is necessary for gases to obey the general gas equation?
    A. High pressure and low temperature
    B. Low pressure and high temperature
    C. Presence of strong intermolecular forces
    D. Gas must be liquid

  13. If pressure is doubled and temperature remains constant, the volume will
    A. double
    B. halve
    C. remain the same
    D. become zero

  14. The general gas equation is also known as the
    A. combined gas law
    B. Dalton’s law
    C. ideal gas equation
    D. Graham’s law

  15. Which of the following is NOT an assumption of the kinetic theory of gases?
    A. Gas particles are in constant motion
    B. Gas molecules occupy negligible volume
    C. There are strong forces between molecules
    D. Collisions are elastic

  16. A gas has a volume of 2 dm³ at 300 K. What will be its volume at 600 K if pressure is constant?
    A. 1 dm³
    B. 2 dm³
    C. 3 dm³
    D. 4 dm³

  17. Increasing the number of moles of a gas at constant temperature and pressure will
    A. decrease volume
    B. not affect volume
    C. increase volume
    D. decrease pressure

  18. Which of the following quantities is directly proportional to pressure according to the gas equation?
    A. Volume
    B. Temperature
    C. Amount of gas
    D. Both B and C

  19. The equation ( \frac{PV}{T} = \text{constant} ) is derived from
    A. Boyle’s law
    B. Charles’ law
    C. Combined gas law
    D. Graham’s law

  20. The general gas equation is mainly used to
    A. calculate molecular mass only
    B. explain diffusion
    C. relate pressure, volume, temperature and amount of gas
    D. describe electrolysis


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IDEA GAS EQUATION at a glance

 IDEAL GAS EQUATION

The ideal gas equation is:

                                    PV = nRT

Where:

  • P = pressure of the gas

  • V = volume of the gas

  • n = number of moles of the gas

  • R = universal gas constant

  • T = absolute temperature (in Kelvin)

Value of R 

  •  R = 8.31{J mol-1K-1

📌 Important tip:
Temperature must always be converted to Kelvin (K) using

T(K) = t(0C) + 273

This equation states that for an ideal gas PV/T is a constant.

That is, PV = R 
               T

(R = molar gas constant)

             

             PV = RT

That is, for n mole of a gas, the equation becomes

             PV = nRT

 

CALCULATIONS

1.  Calculate the number of moles present in a certain mass of gas occupying 6.5dm3 at     3atm and 15oC (R = 0.082atmdm3K-1mol-1)

    Solution:

    V = 6.5dm3, P = 3atm, T = 15oC = (15 + 273)K = 288K, n =?

    Using PV = nRT

           n = PV 3atm x 6.5dm3= 0.8257

                RT    0.082atmdm3K-1mol-1 x 288K

    Number of moles = 0.83 mole


Finding the volume of a gas

2. Calculate the volume occupied by 2 moles of an ideal gas at a pressure of 1.0 × 10⁵ Pa and a temperature of 27°C.

R = 8.31J mol-1,/sup>K-1

Solution:
Convert temperature to Kelvin:

T = 27 + 273 = 300K

Use the formula:

PV = nRT

Make V the subject:

V =          nRT

                   P

Substitute values:

         V =   2 x 8.31 x 300
                    1.0 x 105

     V =        4986
                 100000



V = 0.0499 m3

Answer:
V = 4.99 x10-2m3


Finding pressure

Question:
3. A gas occupies a volume of 0.02 m³ at 300 K and contains 1 mole of gas. Calculate its pressure.

Solution:

           PV = nRT

Make P the subject:

               P = nRT
                      V


Substitute:

P =          1 x 8.31 x 300
                       0.02


P =       2493
             0.02



P = 124650 Pa

Answer:
            P = 1.25 x 105 Pa

Finding number of moles

Question:
4. Calculate the number of moles of a gas that occupies 0.01 m³ at 27°C and 1.0 × 10⁵ Pa.

Solution:
Convert temperature:

T = 27 + 273 = 300K

Use:

         n =    PV
                  RT


Substitute:

             n = 1.0 x 105 x 0.01
                      8.31 x 300


                n = 1000
                       2493


               n = 0.40 mol

Answer:
                    n = 0.40 mol


Converting cm³ to m³

Question:
5.  A gas occupies 500 cm³ at 27°C and 1.0 × 10⁵ Pa. Find the number of moles.

Solution:
Convert volume:
500 cm3 = 5.0 x 10-4 x m3

Convert temperature:

T = 300K

n =   PV
        RT


n = 1.0 x 105 x 5.0 x 10-4
          8.31 x 300


       n =    50
              2493


n = 0.020 mol

Answer:
                n = 0.02 mol

🔑 Important EXAM TIPS

  • Always convert °C to K

  • Convert cm³ to m³

  • Write formula first

  • Show substitutions clearly



OBJECTIVE QUESTION

  1. The ideal gas equation is written as
    A. PV = RT 
    B. P = VRT 
    C. PV = nRT 
    D.  V = nRP 

  2. In the ideal gas equation PV = nRT the symbol n represents
    A. number of molecules
    B. number of particles
    C. number of moles
    D. molar volume

  3. Which of the following is the correct unit of the gas constant R?
    A. J K⁻¹
    B. J mol⁻¹
    C. J mol⁻¹ K⁻¹
    D. Pa m³ mol⁻¹

  4. In gas calculations, temperature must be expressed in
    A. Celsius
    B. Fahrenheit
    C. Kelvin
    D. Centigrade

  5. A gas occupies a volume of 0.02 m³ at 300 K and 1 mole. Calculate the pressure.
    A. ( 4.2 x10^4 ) Pa
    B. ( 8.3 x 10^4 ) Pa
    C. ( 1.25 x10^5 ) Pa
    D. ( 2.49 x 10^5 ) Pa

  6. Which of the following is an assumption of an ideal gas?
    A. Gas molecules attract one another
    B. Gas molecules occupy large volumes
    C. Gas molecules are in constant random motion
    D. Gas molecules move in one direction

  7. If the temperature of a gas increases while pressure remains constant, the volume will
    A. decrease
    B. remain constant
    C. increase
    D. become zero

  8. Which law is combined with Boyle’s and Charles’ laws to give the ideal gas equation?
    A. Dalton’s law
    B. Avogadro’s law
    C. Graham’s law
    D. Faraday’s law

  9. The volume of a gas is 500 cm³ at STP. What is this volume in m³?
    A.  5.0 x 10^-2
    B. 5.0 x 10^-3
    C. 5.0  x 10^-4
    D.  5.0 x 10^-5

  10. Real gases behave most like ideal gases at
    A. low temperature and high pressure
    B. high temperature and high pressure
    C. low temperature and low pressure
    D. high temperature and low pressure