- Pressure
- Boyle's
Law / Charle's Law
- General
Gas Law
- Partial
Pressure (Dalton's Law)
- Henry's
Law
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Pressure
In order
to stay underwater we need a means of breathing in order to
supply our body with the necessary oxygen. What makes this
task difficult is pressure. Pressure is defined as the amount
of force per unit area. At sea level we are exposed to 14.7
pounds of pressure per square inch (psi). This means that
the air surrounding us is pushing on each square inch of our
body with 14.7 pounds due to its weight. These 14.7 psi is
what is called one atmosphere. The same thing happens in the
water. Since water is much denser than air it takes a lot
less sea water to excert enough pressure to total 14.7 psi.
If one were to take a column of sea water one square inch
in diameter, the column would only have to be 33 feet (10
meters) tall to excert one atmosphere of pressure. This means,
that if we dive to a depth of 33 feet our body is exposed
to 2 atmospheres of pressure. 1 Atmosphere due to the weight
of the air and one atmosphere due to the weight of the water.
At a depth of 66 feet we are exposed to a pressure of 3 atmospheres
or 3 * 14.7 psi = 44.1 psi. The following is a little Java
Script calculator giving you the amount of pressure per square
inch at any given depth in fresh or sea water:
Due to
this pressure on a diver's body, a diver needs to breath pressurized
air as the lungs are not capable of expanding enough to intake
air which is not under pressure. This is the reason why we
can't just use a snorkel of the necessary length to explore
underwater without the worries of running out of air. In SCUBA
diving the diver breathes air which is at the exact pressure
of his surrounding environment. This means his lungs do not
have to fight against the surrounding pressure. This fact
poses other problems that need to be taken into consideration
every time a dive is undertaken with compressed air.
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Boyle's
Law
Charle's Law
The first
rule learned when breathing compressed air underwater is to
never hold your breath. The reasoning behind this is simple.
Gases are composed of molecules and under pressure these molecules
get packed more tightly together. This means that with a higher
pressure more gas molecules will occupy a given volume. At
depth of 33 feet the same amount of gas will occupy only have
the volume it would occupy at sea level. At 66 feet it would
occupy one third of the volume. If a diver were to fill his
lungs at a depth of 33 feet and then ascend to the surface
while holding his breath. The air in his lungs would expand
to twice the volume. This of course would lead to major medical
problems (air embolism). The above phenomenon is explained
in Boyle's Law:
If
the temperature is kept constant, the volume of a given
mass of gas is inversely proportional to the absolute pressure.
An increase
or decrease of pressure is not the only way that the volume
of a given amount of gas can expand or contract. This can
also be achieved through a rise or fall in the temperature.
When a gas is heated the molecules making up the gas move
faster. If you were to heat up the gas in a balloon, the gas
molecules would hit the sides of the balloon more often and
with more force causing the balloon to expand. By cooling
the gas you gain exactly the opposite effect. This phenomenon
is explained in Charles law:
If
the temperature remains constant, the volume of a given
mass of gas is inversely proportional to the absolute pressure.
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General
Gas Law
This leads
us to the General Gas Law:
P1 x V1 P2 x V2
_______ = ________
T1 T2
where:
P1 =
initial pressure (absolute)
V1 = initial volume
T1 = initial temperature (absolute)
and:
P2 =
final pressure (absolute)
V2 = final volume
T2 = final temperature (absolute)
When applying
the gas laws:
-
use the same unit of measure throughout the calculations
-
where pressure is involved use only absolute pressure
(This means you have to add 14.7 psi to the pressure gauge
reading. This is due to the pressure of the atmosphere.)
-
where temperature is considered use absolute temperature.
To find absolute temperature add 460 degrees to Fahrenheit
readings and 273 degrees to centigrade readings.
The following
calculator uses the General Gas Law to calculate pressure/volume
relationships.
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Partial Pressure (Dalton's Law)
The second
thing we need to consider when breathing compressed air under
pressure is the effect the individual gases making up this
air have on our metabolism. The air we breath is made up of
aproximatley 20% oxygen and 80% nitrogen. Since these gases
have effects on our body when breathed under pressure, it
useful to understand the concept of partial pressure. Dalton's
Law states:
The
total pressure exerted by a mixture of gases is the sum
of the pressures that would be exerted by each of the gases
if it alone were present and occupied the total volume.
This means,
that if you were to fill a cylinder with air to a total pressure
of 1,000 psi then the partial pressure of nitrogen in the
cylinder would be 800 psi and the partial pressure of oxygen
in the same cylinder would be 200 psi making a total of 800
psi + 200 psi = 1000 psi.
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Henry's
Law
Now that
we've understood partial pressure there is one more concept
that needs to be understood in order to appreciate the complexity
and dangers involved in breathing compressed air. This concept
is stated in Henry's Law:
The
amount of gas that will dissolve in a liquid at a given
temperature is almost directly proportional to the partial
pressure of that gas.
For example
the average man's body contains about 1 quart of dissolved
nitrogen from the air he breathes at the surface. If he breathes
air for a long enough time at 5 atmospheres his body will
contain about 5 quarts of dissolved nitrogen. This is due
to the fact, that the partial pressure of nitrogen in the
lungs is much higher than the respective amount of gas in
the blood. Therefore more nitrogen will move into the blood
from the lungs until a state of equilibrium is reached. This
is why dive tables are used in SCUBA diving to avoid decompression
sickness. Another problem can also arise when the partial
pressure of oxygen gets to high oxygen poisoning.
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This
information was obtained from The
Dive Locker
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