Atmospheric pressure

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Diurnal (daily) rhythm of air pressure in northern Germany (black curve is air pressure)

Atmospheric pressure is the pressure at any point in the Earth's atmosphere.

In most circumstances atmospheric pressure is closely approximated by the hydrostatic pressure caused by the weight of air above the measurement point. Low pressure areas have less atmospheric mass above their location, whereas high pressure areas have more atmospheric mass above their location. Similarly, as elevation increases there is less overlying atmospheric mass, so that pressure decreases with increasing elevation. A column of air 1 square inch in cross section, measured from sea level to the top of the atmosphere, would weigh approximately 14.7 lbf. A 1 m² column of air would weigh about 100 kilonewtons (equivalent to a mass of 10.2 tonnes at the surface).

[edit] Standard atmospheric pressure

The standard atmosphere (symbol: atm) is a unit of pressure and is defined as being precisely equal to 101.325 kPa. This value is intended to represent the mean sea level pressure at the latitude of Paris, France,^{[citation needed]} and as a practical matter, approximates the mean sea level pressure for many of the industrialized nations (those with latitudes similar to Paris). One standard atmosphere is standard pressure used for pneumatic fluid power (ISO R554), and in the aerospace (ISO 2533) and petroleum (ISO 5024) industries.

In 1982, the International Union of Pure and Applied Chemistry (IUPAC) recommended that for the purposes of specifying the physical properties of substances, “the standard pressure” should be defined as precisely 100 kPa (≈750.062 torr) or 29.5230 inHg rather than the 101.325 kPa value of “one standard atmosphere”.^[1] This value is used as the standard pressure for the compressor and the pneumatic tool industries (ISO 2787).^[2] (see also Standard temperature and pressure)

In the United States, compressed air flow is often measured in "standard cubic feet" per unit of time, where the "standard" means the equivalent quantity of air at standard temperature and pressure. However, this standard atmosphere is defined slightly differently: temperature = 68 °F (20 °C), air density = 0.075 lb/ft³ (1.29 kg/m³), altitude = sea level, and relative humidity = 0%. In the air conditioning industry, the standard is often temperature = 32 °F (0 °C) instead. For natural gas, the petroleum industry uses a standard temperature of 60 °F (15.6 °C), pressure 14.73 psia.

[edit] Mean sea level pressure

15 year average MSLP for JJA (top) and DJF (bottom)
JJA: June July August
DJF: December January February

Mean sea level pressure (MSLP or QFF) is the pressure at sea level or (when measured at a given elevation on land) the station pressure reduced to sea level assuming an isothermal layer at the station temperature.

This is the pressure normally given in weather reports on radio, television, and newspapers or on the Internet. When barometers in the home are set to match the local weather reports, they measure pressure reduced to sea level, not the actual local atmospheric pressure. See Altimeter (barometer vs. absolute).

The reduction to sea level means that the normal range of fluctuations in pressure is the same for everyone. The pressures which are considered high pressure or low pressure do not depend on geographical location. This makes isobars on a weather map meaningful and useful tools.

The altimeter setting in aviation, set either QNH or QFE, is another atmospheric pressure reduced to sea level, but the method of making this reduction differs slightly. See altimeter.

• QNH atmospheric pressure (Q) at nautical (N) height (H) or sea-level pressure. Barometric altimeter setting which will cause the altimeter to read airfield elevation when on the airfield. In ISA temperature conditions the altimeter will read altitude above mean sea level in the vicinity of the airfield
• QFE barometric altimeter setting which will cause an altimeter to read zero when at the reference datum of a particular airfield (generally a runway threshold). In ISA temperature conditions the altimeter will read height above the datum in the vicinity of the airfield.

Average sea-level pressure is 1013.25 hPa (mbar) or 29.921 inches of mercury (inHg). In aviation weather reports (METAR), QNH is transmitted around the world in millibars or hectopascals, except in the United States and Canada where it is reported in inches (or hundredths of inches) of mercury. (The United States also reports sea level pressure SLP, which is reduced to sea level by a different method, in the remarks section, not an internationally transmitted part of the code, in hectopascals or millibars. In Canada's public weather reports, sea level pressure is reported in kilopascals [1], while Environment Canada's standard unit of pressure is the same [2] [3].) In the weather code, three digits are all that is needed; decimal points and the one or two most significant digits are omitted: 1013.2 mbar or 101.32 kPa is transmitted as 132; 1000.0 mbar or 100.00 kPa is transmitted as 000; 998.7 mbar or 99.87 kPa is transmitted as 987; etc. The highest sea-level pressure on Earth occurs in Siberia, where the Siberian High often attains a sea-level pressure above 1032.0 mbar. The lowest measurable sea-level pressure is found at the centers of hurricanes (typhoons, baguios)

[edit] Altitude atmospheric pressure variation

This plastic bottle was closed at approximately 2000m altitude, then brought back to sea level. As a result, air pressure crushes it.

Pressure varies smoothly from the earth's surface to the top of the mesosphere. Although the pressure changes with the weather, NASA has averaged the conditions for all parts of the earth year-round. The following is a list of air pressures (as a fraction of one atmosphere) with the corresponding average altitudes. The table gives a rough idea of air pressure at various altitudes. To find the exact pressure (in kPa or % atm) at any altitude (in feet or meters), you can use the eXtreme High Altitude Calculator

[edit] Calculating variation with altitude

See also: Barometric formula

There are two different equations for computing pressure at various height regimes below 86 km (or 278,400 feet). Equation 1 is used when the value of standard temperature lapse rate is not equal to zero and equation 2 is used when standard temperature lapse rate equals zero.

Equation 1:

Equation 2:

where

P = Static pressure (pascals)

T = Standard temperature (kelvins)

L = Standard temperature lapse rate (kelvins per meter)

h = Height above sea level (meters)

R ^* = Universal gas constant for air: 8.31432×10³ N·m / (kmol·K)

g₀ = Gravitational constant (9.80665 m/s²)

M = Molar mass of Earth's air (28.9644 g/mol)

Or converted to English units:^[3]

where

P = Static pressure (inches of mercury)

T = Standard temperature (kelvins)

L = Standard temperature lapse rate (kelvins per foot)

h = Height above sea level (feet)

R ^* = Universal gas constant (using feet and kelvins and gram moles: 8.9494596×10⁴ kg·ft²·s^-2·K^-1·kmol^-1)

g₀ = Gravitational constant (32.17405 ft/s²)

M = Molar mass of Earth's air (28.9644 g/mol)

The value of subscript b ranges from 0 to 6 in accordance with each of seven successive layers of the atmosphere shown in the table below. In these equations, g₀, M and R^* are each single-valued constants, while P, L, T, and h are multivalued constants in accordance with the table below. It should be noted that the values used for M, g₀, and R ^* are in accordance with the U.S. Standard Atmosphere, 1976, and that the value for R ^* in particular does not agree with standard values for this constant.^[4] The reference value for P_b for b = 0 is the defined sea level value, P₀ = 101325 pascals or 29.92126 inHg. Values of P_b of b = 1 through b = 6 are obtained from the application of the appropriate member of the pair equations 1 and 2 for the case when h = h_{b + 1}.:^[4]

Sample Calculation:

Find the pressure at 30,000 meters. First note that 30,000 meters is above 20,000 but below 32,000 so it therefore falls in the range of subscript b=2 in the chart above. Also note that the temperature lapse rate for that region is not equal to zero; therefore, equation 1 is appropriate.

Or

Pascals at 30,000 meters

[edit] Local atmospheric pressure variation

Hurricane Wilma on 19 October 2005 – 88.2 kPa in eye

Atmospheric pressure varies widely on Earth, and these changes are important in studying weather and climate. See pressure system for the effects of air pressure variations on weather.

The highest recorded atmospheric pressure, 108.6 kPa (1086 mbar or 32.06 inches of mercury), occurred at Tosontsengel, Khövsgöl Province, Mongolia, 19 December 2001.²

The lowest recorded non-tornadic atmospheric pressure, 87.0 kPa (870 mbar or 25.69 inches of mercury), occurred in the Western Pacific during Typhoon Tip on 12 October 1979². The record for the Atlantic ocean was 88.2 kPa (882 mbar or 26.04 inches of mercury) during Hurricane Wilma on 19 October 2005.

Atmospheric pressure shows a diurnal (twice-daily) cycle caused by global atmospheric tides. This effect is strongest in tropical zones, with amplitude of a few millibars, and almost zero in polar areas. A graph on the top of this page shows these rhythmic variations in northern Europe. These variations have two superimposed cycles, a circadian (24 h) cycle and semi-circadian (12 h) cycle.

[edit] Atmospheric pressure based on height of water

Atmospheric pressure is often measured with a mercury barometer, and a height of approximately 760 mm (30 inches) of mercury is often used to teach, make visible, and illustrate (and measure) atmospheric pressure. However, since mercury is not a substance that humans commonly come in contact with, water often provides a more intuitive way to conceptualize the amount of pressure in one atmosphere.

One atmosphere (101.325 kPa or 14.7 lbf/in²) is the amount of pressure that can lift water approximately 10.3 m (33.9 feet). Thus, a diver at a depth 10.3 meters under water in a fresh-water lake experiences a pressure of about 2 atmospheres (1 atm for the air and 1 atm for the water).

Non-professional barometers are generally aneroid barometer (Figure 3) or strain gauge based. See Pressure measurement for a description of barometers.

[edit] See also

• Plenum
• NRLMSISE-00
• Barometric formula
• International Standard Atmosphere - a tabulation of typical variation of principal thermodynamic variables of the atmosphere (pressure, density, temperature etc.) with altitude, at mid latitudes.

[edit] References

1. ^ IUPAC.org, Publications, Standard Pressure (20 kB PDF)
2. ^ Compressor.co.za, May 2003 Newsletter
3. ^ Mechtly, E. A., 1973: The International System of Units, Physical Constants and Conversion Factors. NASA SP-7012, Second Revision, National Aeronautics and Space Administration, Washington, D.C.
4. ^ ^{a b} U.S. Standard Atmosphere, 1976, U.S. Government Printing Office, Washington, D.C., 1976. (Linked file is very large.)

• US Department of Defense Military Standard 810E
• Burt, Christopher C., (2004). Extreme Weather, A Guide & Record Book. W. W. Norton & Company ISBN 0-393-32658-6
• U.S. Standard Atmosphere, 1962, U.S. Government Printing Office, Washington, D.C., 1962.

[edit] External links

Wikimedia Commons has media related to:

Atmospheric pressure

• NASA page on the 1976 Standard Atmosphere
• Source code and equations for the 1976 Standard Atmosphere
• A mathematical model of the 1976 U.S. Standard Atmosphere
• Calculator using multiple units and properties for the 1976 Standard Atmosphere

[edit] Experiments

• An exercise in air pressure
• Movies on atmospheric pressure experiments from Georgia State University's HyperPhysics website - requires QuickTime