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7/29/2019 Atomoshperic pressure notes
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What is Atmospheric Pressure?
According to the kinetic theory of gases, gases consist of molecules which are far apart
and in random motion at high speeds.
The gas molecules possess mass and experience the gravitational pull. The result is that
gases have weight.
The atmosphere is a thick layer of air that surrounds the Earth.
The atmosphere exerts a pressure called atmospheric pressure which is caused by the
weight of the thick layer of air above the Earth's surface.
Atmospheric pressure acts on every object on the surface of the earth.
Unit of atmospheric pressure
The units of atmospheric pressure used is:
- Pascal (Pa)
- centimetre/milimetre mercury (cmHg/mmHg)
- atmosphere (atm)-
Notes:
- Atmospheric Pressure at Sea Level = 1atm
- 1 atm = 76cmHg
Existence of Atmospheric Pressure
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The cardboard does not fall and the water remains in the glass even
though its not supported by anything.
Explanation:
The force caused by the atmospheric pressure acts on the surface of
the cardboard is greater than the weight of the water in the glass.
Crushing Can
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When a can filled with hot water is closed and is cooled down rapidly
by pouring cold water on it, it will crash instantly.
Explanation:
When the air inside the can is cooled, its pressure decreases. The
high atmospheric pressure outside exerts a great force on the can and
causes it crashes.
Magdeburg Hemisphere
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Figure above shows a Magdeburg Hemisphere. When the air inside
the hemisphere is pumped out so that it becomes a vacuum, the
hemisphere cannot be separated even by a very great force.
Explanation:
The atmospheric pressure exerts a strong force on the outer surface
of the hemisphere, holding the hemisphere tightly together.
Atmospheric Pressure and Altitude
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Atmospheric pressure decreases as the altitude increases.
Instrument Used to Measure Atmospheric Pressure
-Simple Barometer
Mercury Barometer
1. A mercury barometer consists of a thick-walled glass tube, which is closed at one end.
2. The tube is completely filled with mercury and inverted several times to remove air
bubbles.
The tube is then completely filled again with mercury.
3. After all air has been removed, the open end of the glass tube is inverted into a
container of mercury.
4. The mercury column drops until it reaches a height of about 76cm above the lower
surface. The space between the top of the mercury and the end of the tube should
contain no air; it is a complete vacuum.
5. The column of mercury in the tube is supported by the atmospheric pressure and its
height depends on the magnitude of the atmospheric pressure.
6. Since the atmospheric pressure at sea level can support a vertical column of mercury
76 cm or 760 mm high, we can, for convenience, express mm Hg as a unit of pressure. 1
Standard atmospheric pressure (1 P atm) = 76 cm Hg or 760 mm Hg (also known as one
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atmosphere).
P atm = 76 cm Hg = 10 000 Pa.
Simple Barometer
Pa = 0cmHg
Pb = 26cmHg
Pe = 76cmHg
Pf= 84 cmHg
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For a given liquid, the pressure will be the same at same level.
Therefore,
Pd = Pe = 76cmHg
The difference of gas pressure at different level can be ignored if the
difference of the height is not too large. Therefore,
Pc = Pd = 76cmHg
Figure above shows a simple barometer. Find the atmospheric pressure in the
unit of
a) cmHg
b) Pa
[Density of mercury = 13,600 kgm-3
]
Answer:
a) The atmospheric pressure,
P = 76cmHg
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b) The atmospheric pressure,
P = hg
P = (0.76)(13,600)(10) = 103,360 Pa
Figure above shows a column of mercury in a glass tube. Some air is trapped
in the glass tube. If the atmospheric pressure is 76cmHg, what is the pressure
of the gas inside the tube?
Answer:
Patm = Pair+ Pmercury
(76) = Pair+ 50
Pair= 76 - 50 = 26cmHg
More About Simple Barometer
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The height, h will remains unchanged when
i) the glass tube is lifted up from the dish
ii) the glass tube is lowered further into the dish
iii) the diameter of the glass tube increases
iv) the glass tube is tilted
v) the quantity of mercury in the dish is increased
Application of Atmospheric Pressure
Rubber Sucker
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-When the sucker is pressed into place, the air inside is forced out.
-The sucker is held in position by the high atmospheric pressure on
the outside surface.
Syringe
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When the piston is pulled up, the atmospheric pressure inside the
cylinder will decrease. The atmospheric pressure outside pushes the
liquid up into the syringe.
Straw
-When a person suck through the straw, the pressure in the straw
become low.
-The atmospheric pressure outside which is higher will force the water
into the straw and consequently into the mouth.
Vacuum Cleaner
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When a vacuum cleaner is switched on, it sucks out the air inside the
cleaner, causes the pressure inside the cleaner become low.
The atmospheric pressure which is higher in magnitude, forces the air
and duct particles into the cleaner.
Manometer
Manometers are used to measure the pressure difference between two regions.
It consists of a tube of plastic or glass, bent into the U-shape and filled with a liquid that is often
oil.
If there is a pressure difference between the ends of the manometer, the liquid moves until the
pressure difference is balanced by the difference in heights of the ends of the liquid.
The greater the pressure the greater the difference in heights.
Oil is often used rather than water because water evaporates and also oil is less dense which
makes the manometer more sensitive.
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Pgas = Patm + Pliquid
Pgas = Patm + hg
Pgas = Gas Pressure
Patm = Atmospheric Pressure
g = Gravitational Field Strength
The pressure of the gas is given by h (the difference in mercury levels) in mmHg.
Atmospheric pressure pushes on the mercury from one direction, and the gas in the
container pushes from the other direction. In a manometer, since the gas in the bulb is
pushing more than the atmospheric pressure, you add the atmospheric pressure to the
height difference:
Pgas > Patm Gas pressure = atmospheric pressure +h (height of the mercury)
Pgas =patm + gh
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If the gas pressure is lower than the atmospheric pressure, it will drive down the liquid level in the right side
of the manometer. The pressure of the gas, Pgas can be calculated by:
Pgas < Patm Gas pressure = atmospheric pressure -h (height of the mercury)
Pgas =patm gh
Questions
Figure above shows the water levels in a water manometer used to measure the pressure
of a gas supply. Find the pressure of the gas in unit of
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i) cm water
ii) Pa
[Atmospheric Pressure = 1000cm Water; Density of water = 1000kg/m3]
Answer:
i)
Gas Pressure,
P = Patm + Pwater
P = 1000 + (30-5) = 1025 cm Water
ii)
h = 1025cm = 10.25m
= 1000kgm3g = 10ms-2
Gas Pressure,
P = hg
P = (10.25)(1000)(10)
P = 102500 Pa