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This page looks at how
the equilibrium between a liquid (or a solid) and its vapour leads to the
idea of a saturated vapour pressure. It also looks at how saturated vapour
pressure varies with temperature, and the relationship between saturated
vapour pressure and boiling point.
The origin of
saturated vapour pressure
The evaporation of a
liquid
The average
energy of the particles in a liquid is governed by the temperature. The
higher the temperature, the higher the average energy. But within that
average, some particles have energies higher than the average, and others
have energies lower than the average.
Some of the more
energetic particles on the surface of the liquid can be moving fast enough to
escape from the attractive forces holding the liquid together. They
evaporate.
The diagram shows a
small region of a liquid near its surface.
Notice that
evaporation only takes place on the surface of the liquid. That's quite
different from boiling which happens when there is enough energy to disrupt
the attractive forces throughout the liquid. That's why, if you look at
boiling water, you see bubbles of gas being formed all the way through the
liquid.
If you look at water
which is just evaporating in the sun, you don't see any bubbles. Water
molecules are simply breaking away from the surface layer.
Eventually, the water
will all evaporate in this way. The energy which is lost as the particles
evaporate is replaced from the surroundings. As the molecules in the water
jostle with each other, new molecules will gain enough energy to escape from
the surface.
The evaporation of a
liquid in a closed container
Now imagine what
happens if the liquid is in a closed container. Common sense tells you that
water in a sealed bottle doesn't seem to evaporate - or at least, it doesn't
disappear over time.
But there is
constant evaporation from the surface. Particles continue to break away from
the surface of the liquid - but this time they are trapped in the space above
the liquid.
As the gaseous
particles bounce around, some of them will hit the surface of the liquid
again, and be trapped there. There will rapidly be an equilibrium set up in
which the number of particles leaving the surface is exactly balanced by the
number rejoining it.
In this equilibrium,
there will be a fixed number of the gaseous particles in the space above the
liquid.
When these particles
hit the walls of the container, they exert a pressure. This pressure is
called the saturated vapour pressure (also known as saturation
vapour pressure) of the liquid.
Measuring the
saturated vapour pressure
It isn't difficult to
show the existence of this saturated vapour pressure (and to measure it)
using a simple piece of apparatus.
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Note: This experiment is much easier to talk about
than do, given the safety problems in handling mercury because of its
poisonous vapour. This is particularly going to be a problem if you want to
find the saturated vapour pressure of a liquid at a higher temperature. You
would have to use a more complex bit of apparatus. That isn't a problem you
need to worry about for UK A level purposes.
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If you have a mercury
barometer tube in a trough of mercury, at 1 atmosphere pressure the column
will be 760 mm tall. 1 atmosphere is sometimes quoted as 760 mmHg
("millimetres of mercury").
If you squirt a few
drops of liquid into the tube, it will rise to form a thin layer floating on
top of the mercury. Some of the liquid will evaporate and you will get the
equilibrium we've just been talking about - provided there is still some
liquid on top of the mercury. It is only an equilibrium if both liquid and
vapour are present.
The saturated vapour
pressure of the liquid will force the mercury level down a bit. You can
measure the drop - and this gives a value for the saturated vapour pressure
of the liquid at this temperature. In this case, the mercury has been forced
down by a distance of 760 - 630 mm. The saturated vapour pressure of this
liquid at the temperature of the experiment is 130 mmHg.
You could convert this
into proper SI units (pascals) if you wanted to. 760 mmHg is equivalent to
101325 Pa.
A value of 130 mmHg is
quite a high vapour pressure if we are talking about room temperature.
Water's saturated vapour pressure is about 20 mmHg at this temperature. A
high vapour pressure means that the liquid must be volatile - molecules
escape from its surface relatively easily, and aren't very good at sticking
back on again either.
That will result in
larger numbers of them in the gas state once equilibrium is reached.
The liquid in the
example must have significantly weaker intermolecular forces than water.
The variation of
saturated vapour pressure with temperature
The effect of
temperature on the equilibrium between liquid and vapour
You can look at this
in two ways.
There is a common
sense way. If you increase the temperature, you are increasing the average
energy of the particles present. That means that more of them are likely to
have enough energy to escape from the surface of the liquid. That will tend
to increase the saturated vapour pressure.
Or you can look at it
in terms of Le Chatelier's Principle - which works just as well in this kind
of physical situation as it does in the more familiar chemical examples.
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When the space above
the liquid is saturated with vapour particles, you have this equilibrium
occurring on the surface of the liquid:
The forward change
(liquid to vapour) is endothermic. It needs heat to convert the liquid into
the vapour.
According to Le
Chatelier, increasing the temperature of a system in a dynamic equilibrium
favours the endothermic change. That means that increasing the temperature
increases the amount of vapour present, and so increases the saturated vapour
pressure.
The effect of
temperature on the saturated vapour pressure of water
The graph shows how
the saturated vapour pressure (svp) of water varies from 0°C to 100 °C. The
pressure scale (the vertical one) is measured in kilopascals (kPa). 1
atmosphere pressure is 101.325 kPa.
Saturated vapour
pressure and boiling point
A liquid boils when
its saturated vapour pressure becomes equal to the external pressure on the
liquid. When that happens, it enables bubbles of vapour to form throughout
the liquid - those are the bubbles you see when a liquid boils.
If the external
pressure is higher than the saturated vapour pressure, these bubbles are
prevented from forming, and you just get evaporation at the surface of the
liquid.
If the liquid is in an
open container and exposed to normal atmospheric pressure, the liquid boils
when its saturated vapour pressure becomes equal to 1 atmosphere (or 101325
Pa or 101.325 kPa or 760 mmHg). This happens with water when the temperature
reaches 100°C.
But at different
pressures, water will boil at different temperatures. For example, at the top
of Mount Everest the pressure is so low that water will boil at about 70°C.
Depressions from the Atlantic can easily lower the atmospheric pressure in
the UK enough so that water will boil at 99°C - even lower with very deep
depressions.
Whenever we just talk
about "the boiling point" of a liquid, we always assume that it is
being measured at exactly 1 atmosphere pressure. In practice, of course, that
is rarely exactly true.
Saturated vapour
pressure and solids
Sublimation
Solids can also lose
particles from their surface to form a vapour, except that in this case we
call the effect sublimation rather than evaporation.
Sublimation is the direct change from solid to vapour (or vice versa) without
going through the liquid stage.
In most cases, at
ordinary temperatures, the saturated vapour pressures of solids range from
low to very, very, very low. The forces of attraction in many solids are too
high to allow much loss of particles from the surface.
However, there are
some which do easily form vapours. For example, naphthalene (used in old-fashioned
"moth balls" to deter clothes moths) has quite a strong smell.
Molecules must be breaking away from the surface as a vapour, because
otherwise you wouldn't be able to smell it.
Another fairly common
example (discussed in detail on another page) is solid carbon dioxide -
"dry ice". This never forms a liquid at atmospheric pressure and
always converts directly from solid to vapour. That's why it is known as dry
ice.
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