Intermolecular forces
Intermolecular forces are
the forces of attraction and repulsion between interacting particles (atoms and
molecules). Attractive intermolecular forces are known as van der Waals
forces
Dispersion Forces or London Forces
In atoms
and nonpolar molecules electronic charge cloud is symmetrical but when the charge cloud becomes more on
one side than the other. Dipole develops for few moments. The attraction force
between developed dipole is known as dispersion force or London forces. These forces
are always attractive.
Interaction
energy, E
∝ 1/ r6
r is the distance between two interacting particles.
These
forces are important only at short distances (~500 pm)
Dipole - Dipole Forces
Dipole-dipole forces act
between the molecules possessing permanent dipole. Ends of the dipoles possess “partial
charges”. This interaction is stronger than the London forces but is weaker
than ion-ion interaction because only partial charges are involved..
Interaction
energy for stationary polar molecules, E ∝ 1/ r3
Interaction
energy for rotating polar molecules, E ∝ 1/ r6
Where r is the distance between two interacting particles.
polar molecules can interact
by London forces also so cumulative effect of forces in polar molecules increase.
Dipole–Induced Dipole Forces
Permanent dipole of the
polar molecule induces dipole on the electrically neutral molecule by deforming
its electronic cloud. Attractive forces operate between the polar molecules
having permanent dipole and induced dipole.
Interaction energy, E ∝
1/r 6
Where r is the distance between two molecules.
In this case also
cumulative effect of dispersion forces and dipole-induced dipole interactions
exists.
Hydrogen bond
Strong type of
dipole-dipole interaction is hydrogen bonding. This is found in the molecules
in which highly polar N–H, O–H or H–F bonds are present. Energy of hydrogen
bond varies between 10 to 100 kJ mol–1. hydrogen bonds are powerful
force in determining the structure and properties of many compounds,
Properties of gases
Gases
are highly compressible.
Gases
exert pressure equally in all directions.
Gases
have much lower density than the solids and liquids.
The
volume and the shape of gases are not fixed. These assume volume and shape of
the container.
Gases
mix evenly and completely in all proportions without any mechanical aid.
Boyle’s Law (Pressure – Volume Relationship)
According to Boy’s law, at constant temperature, the pressure of a fixed amount
of gas varies inversely with its volume.
Mathematically, P ∝
1/ V
At constant T and
n
P
= k(1/ V) ... (1)
k is proportionality constant
PV= k
If a fixed amount of gas
at constant temperature T occupying
volume V1 at pressure
p1 undergoes
expansion, so that volume becomes V2
and pressure becomes p2,
p1V1=
p2V2= constant
Curve at different constant temperature is known as an isotherm
Density
‘d’ is related to the mass ‘m’ and the volume ‘V’ by the relation
d
= m / V
V
= m/d
Plug
in equation (1), we get
P = k(d/m)
So
that at a constant temperature, pressure is directly proportional to the
density of a fixed mass of the gas
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