Page 1
? On the basis of nature of intermolecular forces/molecular interactions,
matter exists in three physical states : solid, liquid and gas.
? Intermolecular forces are the forces of attraction or repulsion between
interacting particles (atoms and molecules). Attractive/repulsive
intermolecular forces are known as van der Waal’s forces.
Different types of van der W aal’ s forces are :
(a) Disperson forces or London forces : The interaction which is present
between two non polar molecules for example force between : noble gases.
(b) Dipole-dipole forces : The interaction which is present between
molecules having permanent dipoles i.e., between polar molecules, for
example NH
3
, HCl etc.
(c) Dipole-induced dipole forces : The interaction which is present
between a polar and non polar molecule.
? Boyle ’s law : At constant temperature, the pressure of a fixed amount of
gas, varies inversly with volume.
P a
P
1
V
1
= P
2
V
2
[At constant temperature]
? Charle ’s law : At constant pressure, the volume of a fixed mass of gas is
directly proportional to its absolute temperature.
V a T
= [At constant pressure (p) and n]
Page 2
? On the basis of nature of intermolecular forces/molecular interactions,
matter exists in three physical states : solid, liquid and gas.
? Intermolecular forces are the forces of attraction or repulsion between
interacting particles (atoms and molecules). Attractive/repulsive
intermolecular forces are known as van der Waal’s forces.
Different types of van der W aal’ s forces are :
(a) Disperson forces or London forces : The interaction which is present
between two non polar molecules for example force between : noble gases.
(b) Dipole-dipole forces : The interaction which is present between
molecules having permanent dipoles i.e., between polar molecules, for
example NH
3
, HCl etc.
(c) Dipole-induced dipole forces : The interaction which is present
between a polar and non polar molecule.
? Boyle ’s law : At constant temperature, the pressure of a fixed amount of
gas, varies inversly with volume.
P a
P
1
V
1
= P
2
V
2
[At constant temperature]
? Charle ’s law : At constant pressure, the volume of a fixed mass of gas is
directly proportional to its absolute temperature.
V a T
= [At constant pressure (p) and n]
? Gay Lussac ’s law : At constant volume, pressure of a fixed amount of
gas varies directly with the absolute temperature.
P ? T, = [At constant volume (V) and n].
? STP (Standard Temperature and Pressure) : STP means 273.15 K
(0°C) temperature and 1 bar (i.e., exactly 10
5
Pascal.) Volume occupied
by 1 mole gas at STP = 22.7 L.
If pressure is taken in atm (atmosphere), then the standard molar volume
is 22.4 L.
? Ideal gas equation : PV = nRT
R is universal gas constant.
R = 8.314 JK
–1
mol
–1
= 0.0821 L atm mol
–1
K
–1
= 0.083 L bar mol
–1
K
–1
? Combined gas law : =
? Density and molar mass of a gaseous substance :
M =
? Dalton ’s law of partial pressure : Dalton states that the total pressure
exerted by the mixture of non reacting gases is equal to the sum of the
partial pressures of individual gases.
P
total
= P
1
+ P
2
+ P
3
+ ..... [at constant T, V]
P
1
= x
1
× P
Total
= Here x
1
is called mole fractio n of the first gas.
P
dry gas
= P
Total
– Aqueous tension.
Here aqueous tension is the pressure exerted by water vapours.
? Compressibility factor : The extent of deviation of a real gas from an
ideal behaviour is expressed in terms of compressibility factor, Z =
For ideal gas, Z = 1 at all temperatures and pressures. For real gases, greater
is the deviation in the value of Z from 1, more is the deviation from ideal
behaviour . When Z < 1, the gas is said to show negat ive deviation. This
implies that gas is more compressible then expected from ideal behaviour.
When Z > 1, the gas is said to show positive deviation and the gas is less
compressible than expected from ideal behaviour.
Page 3
? On the basis of nature of intermolecular forces/molecular interactions,
matter exists in three physical states : solid, liquid and gas.
? Intermolecular forces are the forces of attraction or repulsion between
interacting particles (atoms and molecules). Attractive/repulsive
intermolecular forces are known as van der Waal’s forces.
Different types of van der W aal’ s forces are :
(a) Disperson forces or London forces : The interaction which is present
between two non polar molecules for example force between : noble gases.
(b) Dipole-dipole forces : The interaction which is present between
molecules having permanent dipoles i.e., between polar molecules, for
example NH
3
, HCl etc.
(c) Dipole-induced dipole forces : The interaction which is present
between a polar and non polar molecule.
? Boyle ’s law : At constant temperature, the pressure of a fixed amount of
gas, varies inversly with volume.
P a
P
1
V
1
= P
2
V
2
[At constant temperature]
? Charle ’s law : At constant pressure, the volume of a fixed mass of gas is
directly proportional to its absolute temperature.
V a T
= [At constant pressure (p) and n]
? Gay Lussac ’s law : At constant volume, pressure of a fixed amount of
gas varies directly with the absolute temperature.
P ? T, = [At constant volume (V) and n].
? STP (Standard Temperature and Pressure) : STP means 273.15 K
(0°C) temperature and 1 bar (i.e., exactly 10
5
Pascal.) Volume occupied
by 1 mole gas at STP = 22.7 L.
If pressure is taken in atm (atmosphere), then the standard molar volume
is 22.4 L.
? Ideal gas equation : PV = nRT
R is universal gas constant.
R = 8.314 JK
–1
mol
–1
= 0.0821 L atm mol
–1
K
–1
= 0.083 L bar mol
–1
K
–1
? Combined gas law : =
? Density and molar mass of a gaseous substance :
M =
? Dalton ’s law of partial pressure : Dalton states that the total pressure
exerted by the mixture of non reacting gases is equal to the sum of the
partial pressures of individual gases.
P
total
= P
1
+ P
2
+ P
3
+ ..... [at constant T, V]
P
1
= x
1
× P
Total
= Here x
1
is called mole fractio n of the first gas.
P
dry gas
= P
Total
– Aqueous tension.
Here aqueous tension is the pressure exerted by water vapours.
? Compressibility factor : The extent of deviation of a real gas from an
ideal behaviour is expressed in terms of compressibility factor, Z =
For ideal gas, Z = 1 at all temperatures and pressures. For real gases, greater
is the deviation in the value of Z from 1, more is the deviation from ideal
behaviour . When Z < 1, the gas is said to show negat ive deviation. This
implies that gas is more compressible then expected from ideal behaviour.
When Z > 1, the gas is said to show positive deviation and the gas is less
compressible than expected from ideal behaviour.
At ordinary temperatures (T = 273 K), only H
2
and He show positive
deviations. However at low temperatures, even these gases show negative
deviation i.e. , < 1. For example , in case of these gases, if T << 273 K,
Z < 1.
? Boyle temperature : The temperature at which a real gas behaves like an
ideal gas over an appreciable pressure range is called Boyle temperature
or Boyle point.
? Causes of deviation from ideal behaviour : The following two
assumptions of the kinetic theory of gases are faulty :
(a) The volume occupied by the gas molecules is negligible as compared
to the total volume of the gas.
(b) The forces of attraction or repulsion between the gas molecules are
negligible.
The above assumptions are correct only if the temperature is high and
pressure is low.
van der Waal’s equation :
= RT for 1 mole of the gas
= nRT for n moles of the gas
Here a and b are constants called van der W aal’ s constants.
? Significance and units of van der Waal’s constants : ‘a ’ gives the idea of
the magnitude of attractive forces among the gas molecules. As correction
in pressure is P = therefore a = (P × V
2
)/n
2
= atm L
2
mol
2
.
As correction in volume V = nb, therefore ‘b’ has the unit of L mol
–1
.
The near constancy in the volume of b shows that the gas molecules are
incompressible.
? Vapour pressure : The pressure exerted by the vapours of a liquid, when
it is in equilibrium with the liquid surface, at constant temperature.
? Boiling temperature : The temperature at which vapour pressure of a
liquid is equal to the external pressure.
? At 1 atm, boiling temperature is called normal boiling point.
? At 1 bar boiling temperature is called standard boiling point.
Page 4
? On the basis of nature of intermolecular forces/molecular interactions,
matter exists in three physical states : solid, liquid and gas.
? Intermolecular forces are the forces of attraction or repulsion between
interacting particles (atoms and molecules). Attractive/repulsive
intermolecular forces are known as van der Waal’s forces.
Different types of van der W aal’ s forces are :
(a) Disperson forces or London forces : The interaction which is present
between two non polar molecules for example force between : noble gases.
(b) Dipole-dipole forces : The interaction which is present between
molecules having permanent dipoles i.e., between polar molecules, for
example NH
3
, HCl etc.
(c) Dipole-induced dipole forces : The interaction which is present
between a polar and non polar molecule.
? Boyle ’s law : At constant temperature, the pressure of a fixed amount of
gas, varies inversly with volume.
P a
P
1
V
1
= P
2
V
2
[At constant temperature]
? Charle ’s law : At constant pressure, the volume of a fixed mass of gas is
directly proportional to its absolute temperature.
V a T
= [At constant pressure (p) and n]
? Gay Lussac ’s law : At constant volume, pressure of a fixed amount of
gas varies directly with the absolute temperature.
P ? T, = [At constant volume (V) and n].
? STP (Standard Temperature and Pressure) : STP means 273.15 K
(0°C) temperature and 1 bar (i.e., exactly 10
5
Pascal.) Volume occupied
by 1 mole gas at STP = 22.7 L.
If pressure is taken in atm (atmosphere), then the standard molar volume
is 22.4 L.
? Ideal gas equation : PV = nRT
R is universal gas constant.
R = 8.314 JK
–1
mol
–1
= 0.0821 L atm mol
–1
K
–1
= 0.083 L bar mol
–1
K
–1
? Combined gas law : =
? Density and molar mass of a gaseous substance :
M =
? Dalton ’s law of partial pressure : Dalton states that the total pressure
exerted by the mixture of non reacting gases is equal to the sum of the
partial pressures of individual gases.
P
total
= P
1
+ P
2
+ P
3
+ ..... [at constant T, V]
P
1
= x
1
× P
Total
= Here x
1
is called mole fractio n of the first gas.
P
dry gas
= P
Total
– Aqueous tension.
Here aqueous tension is the pressure exerted by water vapours.
? Compressibility factor : The extent of deviation of a real gas from an
ideal behaviour is expressed in terms of compressibility factor, Z =
For ideal gas, Z = 1 at all temperatures and pressures. For real gases, greater
is the deviation in the value of Z from 1, more is the deviation from ideal
behaviour . When Z < 1, the gas is said to show negat ive deviation. This
implies that gas is more compressible then expected from ideal behaviour.
When Z > 1, the gas is said to show positive deviation and the gas is less
compressible than expected from ideal behaviour.
At ordinary temperatures (T = 273 K), only H
2
and He show positive
deviations. However at low temperatures, even these gases show negative
deviation i.e. , < 1. For example , in case of these gases, if T << 273 K,
Z < 1.
? Boyle temperature : The temperature at which a real gas behaves like an
ideal gas over an appreciable pressure range is called Boyle temperature
or Boyle point.
? Causes of deviation from ideal behaviour : The following two
assumptions of the kinetic theory of gases are faulty :
(a) The volume occupied by the gas molecules is negligible as compared
to the total volume of the gas.
(b) The forces of attraction or repulsion between the gas molecules are
negligible.
The above assumptions are correct only if the temperature is high and
pressure is low.
van der Waal’s equation :
= RT for 1 mole of the gas
= nRT for n moles of the gas
Here a and b are constants called van der W aal’ s constants.
? Significance and units of van der Waal’s constants : ‘a ’ gives the idea of
the magnitude of attractive forces among the gas molecules. As correction
in pressure is P = therefore a = (P × V
2
)/n
2
= atm L
2
mol
2
.
As correction in volume V = nb, therefore ‘b’ has the unit of L mol
–1
.
The near constancy in the volume of b shows that the gas molecules are
incompressible.
? Vapour pressure : The pressure exerted by the vapours of a liquid, when
it is in equilibrium with the liquid surface, at constant temperature.
? Boiling temperature : The temperature at which vapour pressure of a
liquid is equal to the external pressure.
? At 1 atm, boiling temperature is called normal boiling point.
? At 1 bar boiling temperature is called standard boiling point.
? Vapour pressure of a pure liquid depends upon (i) intermolecular forces,
(ii) Temperature.
? Surface tension is defined as force acting per unit length perpendicular to
the line drawn on the surface. Its units is Nm
–1
.
? Effect of temperature on surface tension : Surface tension decreases with
increase in temperature with the increase in temperature, kinetic energy
of molecules increases. As a result, intermolecular forces decreases and
hence force acting per unit length decreases.
? Viscosity : It is defined as resistance offered to the flow of liquid due to
internal friction between layers of fluids as they pass over each other .
F = ?A.
? is called coefficient of viscosity.
Effect of temperature on viscosity : Viscosity decrease with increase in
temperature because with the increase in temperature the average kinetic
energy increases and the intermolecular forces can be easily overcome.
The Solid State
Crystalline and Amorphous solids
Crystalline solids Amorphous solids
1. They have regular geometry They have irregular geometry
2. They have long range order They have short range order.
3. They have sharp melting point. They have no sharp melting point.
4. They are anisotropic They are isotropic
5. They give clean and smooth surface on
cleavage.
They give irregular cut on cleavage
6. They have definite heat of fusion. They do not have definite heat of
fusion.
7. They are true solids. They are pseudo solids or super
cooled liquids.
Page 5
? On the basis of nature of intermolecular forces/molecular interactions,
matter exists in three physical states : solid, liquid and gas.
? Intermolecular forces are the forces of attraction or repulsion between
interacting particles (atoms and molecules). Attractive/repulsive
intermolecular forces are known as van der Waal’s forces.
Different types of van der W aal’ s forces are :
(a) Disperson forces or London forces : The interaction which is present
between two non polar molecules for example force between : noble gases.
(b) Dipole-dipole forces : The interaction which is present between
molecules having permanent dipoles i.e., between polar molecules, for
example NH
3
, HCl etc.
(c) Dipole-induced dipole forces : The interaction which is present
between a polar and non polar molecule.
? Boyle ’s law : At constant temperature, the pressure of a fixed amount of
gas, varies inversly with volume.
P a
P
1
V
1
= P
2
V
2
[At constant temperature]
? Charle ’s law : At constant pressure, the volume of a fixed mass of gas is
directly proportional to its absolute temperature.
V a T
= [At constant pressure (p) and n]
? Gay Lussac ’s law : At constant volume, pressure of a fixed amount of
gas varies directly with the absolute temperature.
P ? T, = [At constant volume (V) and n].
? STP (Standard Temperature and Pressure) : STP means 273.15 K
(0°C) temperature and 1 bar (i.e., exactly 10
5
Pascal.) Volume occupied
by 1 mole gas at STP = 22.7 L.
If pressure is taken in atm (atmosphere), then the standard molar volume
is 22.4 L.
? Ideal gas equation : PV = nRT
R is universal gas constant.
R = 8.314 JK
–1
mol
–1
= 0.0821 L atm mol
–1
K
–1
= 0.083 L bar mol
–1
K
–1
? Combined gas law : =
? Density and molar mass of a gaseous substance :
M =
? Dalton ’s law of partial pressure : Dalton states that the total pressure
exerted by the mixture of non reacting gases is equal to the sum of the
partial pressures of individual gases.
P
total
= P
1
+ P
2
+ P
3
+ ..... [at constant T, V]
P
1
= x
1
× P
Total
= Here x
1
is called mole fractio n of the first gas.
P
dry gas
= P
Total
– Aqueous tension.
Here aqueous tension is the pressure exerted by water vapours.
? Compressibility factor : The extent of deviation of a real gas from an
ideal behaviour is expressed in terms of compressibility factor, Z =
For ideal gas, Z = 1 at all temperatures and pressures. For real gases, greater
is the deviation in the value of Z from 1, more is the deviation from ideal
behaviour . When Z < 1, the gas is said to show negat ive deviation. This
implies that gas is more compressible then expected from ideal behaviour.
When Z > 1, the gas is said to show positive deviation and the gas is less
compressible than expected from ideal behaviour.
At ordinary temperatures (T = 273 K), only H
2
and He show positive
deviations. However at low temperatures, even these gases show negative
deviation i.e. , < 1. For example , in case of these gases, if T << 273 K,
Z < 1.
? Boyle temperature : The temperature at which a real gas behaves like an
ideal gas over an appreciable pressure range is called Boyle temperature
or Boyle point.
? Causes of deviation from ideal behaviour : The following two
assumptions of the kinetic theory of gases are faulty :
(a) The volume occupied by the gas molecules is negligible as compared
to the total volume of the gas.
(b) The forces of attraction or repulsion between the gas molecules are
negligible.
The above assumptions are correct only if the temperature is high and
pressure is low.
van der Waal’s equation :
= RT for 1 mole of the gas
= nRT for n moles of the gas
Here a and b are constants called van der W aal’ s constants.
? Significance and units of van der Waal’s constants : ‘a ’ gives the idea of
the magnitude of attractive forces among the gas molecules. As correction
in pressure is P = therefore a = (P × V
2
)/n
2
= atm L
2
mol
2
.
As correction in volume V = nb, therefore ‘b’ has the unit of L mol
–1
.
The near constancy in the volume of b shows that the gas molecules are
incompressible.
? Vapour pressure : The pressure exerted by the vapours of a liquid, when
it is in equilibrium with the liquid surface, at constant temperature.
? Boiling temperature : The temperature at which vapour pressure of a
liquid is equal to the external pressure.
? At 1 atm, boiling temperature is called normal boiling point.
? At 1 bar boiling temperature is called standard boiling point.
? Vapour pressure of a pure liquid depends upon (i) intermolecular forces,
(ii) Temperature.
? Surface tension is defined as force acting per unit length perpendicular to
the line drawn on the surface. Its units is Nm
–1
.
? Effect of temperature on surface tension : Surface tension decreases with
increase in temperature with the increase in temperature, kinetic energy
of molecules increases. As a result, intermolecular forces decreases and
hence force acting per unit length decreases.
? Viscosity : It is defined as resistance offered to the flow of liquid due to
internal friction between layers of fluids as they pass over each other .
F = ?A.
? is called coefficient of viscosity.
Effect of temperature on viscosity : Viscosity decrease with increase in
temperature because with the increase in temperature the average kinetic
energy increases and the intermolecular forces can be easily overcome.
The Solid State
Crystalline and Amorphous solids
Crystalline solids Amorphous solids
1. They have regular geometry They have irregular geometry
2. They have long range order They have short range order.
3. They have sharp melting point. They have no sharp melting point.
4. They are anisotropic They are isotropic
5. They give clean and smooth surface on
cleavage.
They give irregular cut on cleavage
6. They have definite heat of fusion. They do not have definite heat of
fusion.
7. They are true solids. They are pseudo solids or super
cooled liquids.
Anisotropic : Solids which have different values of their physical properties such
as refractive index, conductivity etc. in different directions.
Isotropic : Solids which have same values of their physical properties such as
refractive index, conductivity etc. in different directions.
Classification of crystalline solids:
Space lattice (Crystal lattice)
A regular arrangement of the constituents particles ( atoms, molecules
or ions ) in the three dimensional space which represent the geometry of
a crystal is called space lattice.
There are only 14 possible three dimensional lattices. These are called
Bravias lattices
Unit cell
The smallest repeating unit of the space lattice is called unit cell.
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