# Atmospheric pressure: Map

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Atmospheric pressure is defined as the force per unit area exerted against a surface by the weight of air above that surface at any given 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 one square inch in cross-section, measured from sea level to the top of the atmosphere, would weigh approximately . The weight of a column of air would be about .

## Standard atmospheric pressure

The standard atmosphere (symbol: atm) is a unit of pressure and is defined as being equal to 101 325 Pa or 101.325 kPa. The following units are equivalent, but only to the number of decimal places displayed: 760 mmHg (torr), 29.92 inHg, 14.696 PSI, 1013.25 millibars. 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 1999, the International Union of Pure and Applied Chemistry (IUPAC) recommended that for the purposes of specifying the properties of substances, “the standard pressure” should be defined as precisely 100 kPa (≈750.01 torr) or 29.53 inHg rather than the 101.325 kPa value of “one standard atmosphere”. This value is used as the standard pressure for the compressor and the pneumatic tool industries (ISO 2787). (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 moisture at standard temperature and pressure. For every 1,000 feet you ascend the atmospheric pressure decreases 4%. However, this standard atmosphere is defined slightly differently: temperature = , air density = 1.225 kg/m³ (0.0765 lb/cu ft), altitude = sea level, and relative humidity = 20%. In the air conditioning industry, the standard is often temperature = instead. For natural gas, the petroleum industry uses a standard temperature of , pressure . (air pressure)

## Mean sea level pressure

Mean sea level pressure (MSLP) 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 .

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.
QNH: The 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: The 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.

QFE and QNH are arbitrary Q codes rather than abbreviations, but the mnemonics "Nautical Height" (for QNH) and "Field Elevation" (for QFE) are often used by pilots to distinguish them.

Average sea-level pressure is 101.325 kPa (1013.25 mbar, or hPa) or 29.921 inches of mercury (inHg) or 760 millimeters (mmHg). In aviation weather reports (METAR), QNH is transmitted around the world in millibars or hectopascals (1 millibar = 1 hectopascal), except in the United States and in Canada where it is reported in inches (or hundredths of inches) of mercury. (The United States and Canada also report 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. However, in Canada's public weather reports, sea level pressure is instead reported in kilopascals [7673], while Environment Canada's standard unit of pressure is the same [7674] [7675].) 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 1087.0 mbar. The lowest measurable sea-level pressure is found at the centers of tropical cyclones.

## Altitude atmospheric pressure variation

This plastic bottle, sealed at approximately altitude, was crushed by the increase in atmospheric pressure when brought to sea level.

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.

fraction of 1 atm (m) (ft) average altitude 1 0 0 1/2 5,486 18,000 1/e 7,915 25,970 1/3 8,376 27,480 1/10 16,132 52,926 1/100 30,901 101,381 1/1000 48,467 159,013 1/10000 69,464 227,899 1/100000 86,282 283,076

## Calculating variation with altitude

There are two different equations for computing the average pressure at various height regimes below . 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:
{P}=P_b \cdot \left[\frac{T_b}{T_b + L_b\cdot(h-h_b)}\right]^{\textstyle \frac{g_0 \cdot M}{R^* \cdot L_b}}

Equation 2:
{P}=P_b \cdot \exp \left[\frac{-g_0 \cdot M \cdot (h-h_b)}{R^* \cdot T_b}\right]

where
P_b = Static pressure (pascals, Pa)
T_b = Standard temperature (kelvin, K)
L_b = Standard temperature lapse rate (kelvin per meter, K/m)
h = Height above sea level (meters, m)
h_b = Height at bottom of layer b (meters; e.g., h_1 = 11,000 m)
R^* = Universal gas constant: 8.31432 Nm/(K·mol)
g_0 = Standard gravity (9.80665 m/s2)
M = Molar mass of Earth's air (0.0289644 kg/mol)

Or converted to Imperial units:

where
P_b = Static pressure (inches of mercury, inHg)
T_b = Standard temperature ([[kelvin]s, K)
L_b = Standard temperature lapse rate (kelvin per foot, K/ft)
h = Height above sea level (feet, ft)
h_b = Height at bottom of layer b (feet; e.g., h_1 = 36,089 ft)
R^* = Universal gas constant; using feet, kelvin, and (SI) moles: 8.9494596×104 gft2/(mol·Ks2)
g_0 = Standard gravity (32.17405 ft/s2)
M = Molar mass of Earth's air (0.0289644 kg/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. (Note that according to the convention in this equation, L0, the tropospheric lapse rate, is negative.) 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. The reference value for Pb for b = 0 is the defined sea level value, P0 = 101325 pascals or 29.92126 inHg. Values of Pb 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}.:

Subscript b Height Above Sea Level Static Pressure Standard Temperature

(K)
Temperature Lapse Rate
(m) (ft) (pascals) (inHg) (K/m) (K/ft)
0 0 0 101325 29.92126 288.15 -0.00649 -0.0019812
1 11,000 36,089 22632 6.683245 216.65 0.0 0.0
2 20,000 65,617 5474 1.616734 216.65 0.001 0.0003048
3 32,000 104,987 868 0.2563258 228.65 0.0028 0.00085344
4 47,000 154,199 110 0.0327506 270.65 0.0 0.0
5 51,000 167,323 66 0.01976704 270.65 -0.0028 -0.00085344
6 71,000 232,940 4 0.00116833 214.65 -0.002 -0.0006097

## Local atmospheric pressure variation

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.

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. These variations have two superimposed cycles, a circadian (24 h) cycle and semi-circadian (12 h) cycle.

## Atmospheric pressure based on height of water

Atmospheric pressure is often measured with a mercury barometer, and a height of approximately of mercury is often used to 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 visualize the pressure of one atmosphere.

One atmosphere (101.325 kPa or 14.7 psi) is the amount of pressure that can lift water approximately . Thus, a diver 10.3 m underwater experiences a pressure of about 2 atmospheres (1 atm of air plus 1 atm of water). This is also the maximum height to which a column of water can be drawn up by suction.

Low pressures such as natural gas lines are sometimes specified in inches of water, typically written as w.c. (water column) or W.G. (inches water gauge). A typical gas using residential appliance is rated for a maximum of 14 w.c. which is approximately 0.034 atmosphere.

Non-professional barometers are generally aneroid barometers or strain gauge based. See pressure measurement for a description of barometers.

## Water's boiling point

Boiling water
By definition water boils at at one atmosphere. The boiling point is the temperature at which the vapor pressure is equal to the atmospheric pressure around the water. Because of this, the boiling point of water is decreased in lower pressure and raised at higher pressure. This is why baking at elevations more than above sea level requires adjustments to recipes. A rough approximation of elevation can be obtained by measuring the temperature at which water boils; in the mid-19th century, this method was used by explorers.

## Notes

1. International Civil Aviation Organization, Manual of the ICAO Standard Atmosphere, Doc 7488-CD, Third Edition, 1993, ISBN 92-9194-004-6.
2. OPCIT http://en.wikipedia.org/wiki/ICAO_Standard_Atmosphere
3. IUPAC.org, Publications, Standard Pressure ( 20 kB PDF)
5. Sample METAR of CYVR Nav Canada
6. 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.
7. U.S. Standard Atmosphere, 1976, U.S. Government Printing Office, Washington, D.C., 1976. (Linked file is very large.)
8. Vapor Pressure
9. Crisco - Articles & Tips - Cooking Tips - High Altitude Cooking
10. [M.N. Berberan-Santos, E.N. Bodunov, L. Pogliani, On the barometric formula. Am. J. Phys. 65 (5), 404-412 (1997)]

## References

* 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.

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