Definitions [22]
Define matter
Anything that has mass and occupies space is called matter.
Define interconversion of states of matter.
The process by which matter changes from one state to another and back to the original state, without any change in its chemical composition.
Define the term polarizability
Polarizability is defined as the ability of an atom or a molecule to form momentary dipoles, which means, the ability of the atom or molecule to become polar by redistributing its electrons.
Define the term Hydrogen bond
The electrostatic force of attraction between a positively polarised hydrogen atom of one molecule and a highly electronegative atom (which may be negatively charged) of another molecule is called a hydrogen bond.
Define the term Dipole moment
Dipole moment (μ) is the product of the magnitude of the charge (Q) and the distance between the centres of positive and negative charge (r). It is designated by a Greek Letter (μ) and its unit is Debye (D).
Define the term Aqueous tension
The pressure exerted by saturated water vapour is called aqueous tension.
Define the term Aqueous tension
The pressure exerted by saturated water vapour is called aqueous tension.
Define the term Hydrogen bond
The electrostatic force of attraction between a positively polarised hydrogen atom of one molecule and a highly electronegative atom (which may be negatively charged) of another molecule is called a hydrogen bond.
Define the term Dipole moment
Dipole moment (μ) is the product of the magnitude of the charge (Q) and the distance between the centres of positive and negative charge (r). It is designated by a Greek Letter (μ) and its unit is Debye (D).
Define the term polarizability
Polarizability is defined as the ability of an atom or a molecule to form momentary dipoles, which means, the ability of the atom or molecule to become polar by redistributing its electrons.
A temperature scale with absolute zero (zero kelvin) as the starting point is called the absolute scale or the kelvin scale.
The volume of a given mass of a dry gas varies inversely as the pressure and directly as the absolute temperature.
V ∝ \[\frac {1}{P}\] × T or \[\frac {PV}{T}\] = k (constant)
If volume changes from V1 to V2, pressure from P1 to P2, and temperature from T1 to T2, then:
\[\frac {P_1V_1}{T_1}\] = \[\frac {P_2V_2}{T_2}\] = k (constant)
An atom is the smallest particle of an element that can take part in a chemical reaction; however, it may or may not exist independently.
Avogadro s law states that "equal volumes of all gases under similar conditions of temperature and pressure contain the same number of molecules."
A molecule is the smallest particle of an element or a compound that can exist by itself; it never breaks up except for taking part in a chemical reaction.
“The relation between three properties of a gas, i.e., pressure, volume and temperature, is called the ideal gas equation.”
Define interconversion of states of matter.
The process by which matter changes from one state to another and back to the original state, without any change in its chemical composition.
Define matter
Anything that has mass and occupies space is called matter.
Define the term ‘amorphous’.
The solids which do not possess the repeating ordered arrangement of atoms or ions are called amorphous solids.
Define Anisotropy.
The ability of crystalline solids to change values of physical properties when measured in different directions is called anisotropy.
Define unit cell.
A basic repeating structural unit of a crystalline solid is called a unit cell.
Define the following term:
Ferromagnetism
Ferromagnetism is defined as the phenomenon in which substances, such as iron, cobalt and nickel, are strongly attracted by a magnetic field. Such substances are called ferromagnetic substances.
Formulae [1]
\[\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}\]
Theorems and Laws [7]
It states that volume of a given mass of a dry gas is directly proportional to its absolute (kelvin) temperature, if the pressure is kept constant.
OR
The pressure remaining constant, the volume of a given mass of a dry gas increases or decreases by 1/273 of its volume for each 1°C increase or decrease in temperature respectively.
\[\frac {V_1}{T_1}\] = \[\frac {V_2}{T_2}\] = k at constant pressure
It states that the volume of a given mass of dry gas is inversely proportional to its pressure at a constant temperature.
P1V1 = P2V2 = k at constant temperature
Statement:
The volume of a fixed mass of gas is directly proportional to its absolute temperature if the pressure is kept constant.
Mathematically, V ∝ T ⇒ \[\frac {V}{T}\] = constant
Graph: V vs T (Isobar)
A straight line through the origin when using Kelvin. All lines converge at 0 K (absolute zero).
Statement:
The pressure of a fixed mass of gas is directly proportional to its absolute temperature if volume is kept constant.
Mathematically, P ∝ T ⇒ \[\frac {P}{T}\] = constant
This means: heating a gas in a sealed (rigid) container increases its pressure.
Graph: P vs T (Isochore)

P vs T graph at constant volume — a straight line through the origin (Kelvin scale).
Statement:
For a fixed mass of gas at constant temperature, the pressure is inversely proportional to the volume.
Mathematically, P ∝ \[\frac {1}{V}\] ⇒ PV = constant
Graph: P vs V (Isotherm)

This means: squeezing a gas into a smaller space increases its pressure. Doubling the pressure halves the volume.
Name the law or principle to which the following observations confirm:
When 9650 coulombs of electricity is passed through a solution of copper sulphate, 3.175 g of copper is deposited on the cathode (at. wt. of Cu = 63.5).
Faraday’s first law of electrolysis: The mass of a substance deposited or liberated at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.
Given: Charge passed = 9650 C
Atomic mass of Cu = 63.5
Valency of Cu in CuSO4 = 2
Equivalent mass of Cu = `63.5/2` = 31.75
Now, Mass deposited = `9650/96500 xx 31.75`
= 0.1 × 31.75
= 3.175 g
Name the law or principle to which the following observations confirm:
When 9650 coulombs of electricity is passed through a solution of copper sulphate, 3.175 g of copper is deposited on the cathode (at. wt. of Cu = 63.5).
Faraday’s first law of electrolysis: The mass of a substance deposited or liberated at an electrode is directly proportional to the quantity of electricity passed through the electrolyte.
Given: Charge passed = 9650 C
Atomic mass of Cu = 63.5
Valency of Cu in CuSO4 = 2
Equivalent mass of Cu = `63.5/2` = 31.75
Now, Mass deposited = `9650/96500 xx 31.75`
= 0.1 × 31.75
= 3.175 g
Key Points
- An ideal gas has point-mass molecules, no intermolecular forces, and perfectly elastic collisions.
- Boyle's Law (constant T): PV = constant — pressure and volume are inversely proportional.
- Charles' Law (constant P): V/T = constant — volume and temperature are directly proportional.
- Gay-Lussac's Law (constant V): P/T = constant — pressure and temperature are directly proportional.
- The Ideal Gas Equation, PV = nRT, combines all three laws into a single universal relationship.
- The Universal Gas Constant R = 8.314 J mol⁻¹ K⁻¹ is the same for all ideal gases.
- Real gases approximate ideal behaviour at low pressure and high temperature.
- Always use absolute temperature (Kelvin) in gas law calculations. T(K) = T(°C) + 273.15
Concepts [58]
- Classification of Matter
- States of Matter
- The Solid State
- The Liquid State
- The Gaseous State
- Intermolecular Forces
- Intermolecular Forces
- Dispersion Forces Or London Forces
- Dipole - Dipole Forces
- Dipole-induced Dipole Forces
- Hydrogen Bond
- Intermolecular Forces Vs. Thermal Interactions
- Gas Laws
- Boyle’s Law (Pressure - Volume Relationship)
- Charles’ Law (Temperature - Volume Relationship)
- Gay Lussac’s Law (Pressure- Temperature Relationship)
- Avogadro's Law
- Ideal Gas Equation
- Density and Molar Mass of a Gaseous Substance
- Dalton’s Law of Partial Pressures
- Absolute Scale of Temperature
- Kinetic Energy and Molecular Speeds
- Kinetic Molecular Theory of Gases
- Classification of Gases: Real Gases and Ideal Gases
- Behaviour of Real Gases: Deviation from Ideal Gas Behaviour
- Liquefaction of Gases
- Compressibility Factor
- Van Der Waals Equation
- Vapour Pressure
- Viscosity
- Surface Tension
- States of Matter
- General Characteristics of Solid State
- Amorphous and Crystalline Solids
- Classification of Crystalline Solids
- Crystal Lattices and Unit Cells
- Crystal Lattices and Unit Cells - Primitive and Centred Unit Cells
- Number of Atoms in a Unit Cell
- Bragg's Law and Its Applications
- Close Packed Structures of Solids
- Close Packed Structures - Formula of a Compound and Number of Voids Filled
- Packing Efficiency
- Packing Efficiency in hcp and ccp Structures
- Efficiency of Packing in Body-centred Cubic Structures
- Packing Efficiency in Simple Cubic Lattice
- Calculations Involving Unit Cell Dimensions
- Imperfections in Solids - Introduction
- Imperfections in Solids
- Types of Point Defects - Stoichiometric Defects
- Types of Point Defects - Impurity Defects
- Types of Point Defects - Non-stoichiometric Defects
- Properties of Solids: Electrical Properties
- Properties of Solids: Electrical Properties
- Conduction of Electricity in Metals
- Conduction of Electricity in Semiconductors
- Applications of n-type and p-type Semiconductors
- Properties of Solids: Magnetic Properties
- Crystal Structure of Solids
