# Atmospheric pressure

Atmospheric pressure is the force per unit area exerted into a surface by the weight of air above that surface in the atmosphere of Earth (or that of another planet). In most circumstances atmospheric pressure is closely approximated by the hydrostatic pressure caused by the mass 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. Likewise, as elevation increases, there is less overlying atmospheric mass, so that pressure decreases with increasing elevation. On average, a column of air one square centimeter in cross-section, measured from sea level to the top of the atmosphere, has a mass of about 1.03 kg and weight of about 10.1 N (2.28 lbf) (A column one square inch in cross-section would have a weight of about 14.7 lbs, or about 65.4 N). This is approximately the same as having a small car press down on you.[1]

## Standard atmospheric pressure

The standard atmosphere (symbol: atm) is a unit of pressure and is defined as being equal to 101.325 kPa.[2] 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 or hectopascals. One standard is standard pressure used for pneumatic fluid power (ISO R554), and in the aerospace (ISO 2533) and petroleum (ISO 5024) industries. In 1971, the International Union of Pure and Applied Chemistry (IUPAC) said 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”.[3] This value is used as the standard pressure for the compressor and the pneumatic tool industries (ISO 2787).[4] (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. For every 300 meters (≈1,000 feet) one ascends, the atmospheric pressure decreases by about 4%. However, this standard atmosphere is defined slightly differently: temperature = 20 °C (68 °F), air density = 1.225 kg/m³ (0.0765 lb/cu ft), altitude = sea level, and relative humidity = 20%. In the air conditioner industry, the standard is often temperature = 0 °C (32 °F) instead. For natural gas, the Gas Processors Association (GPA) specifies a standard temperature of 60 °F (15.6 °C), but allows a variety of "base" pressures, including 14.65 psi (101.0 kPa), 14.656 psi (101.05 kPa), 14.73 psi (101.6 kPa) and 15.025 psi (103.59 kPa).[5] For a given "base" pressure, the higher the air pressure, the colder it is; the lower the air pressure, the warmer it is.

## Mean sea level pressure

15 year average mean sea level pressure for June, July, and August (top) and December, January, and February (bottom).
Kollsman-type barometric aircraft altimeter as used in North America displaying an altitude of 80 ft (24 m).

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 (barometer vs. absolute).

The reduction to sea level means that the normal range of fluctuations in pressure is the same for everyone. The pressures that 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 that 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 that will cause an altimeter to read zero when at the reference datum of a particular airfield (in general, 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 29.92 inches of mercury (inHg) or 760 millimetres (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, Canada, and Colombia where it is reported in inches (to two decimal places) 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.[6] However, in Canada's public weather reports, sea level pressure is instead reported in kilopascals,[7] while Environment Canada's standard unit of pressure is the same.[8][9] ) 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 1050.0 mbar (105.00 kPa). The lowest measurable sea-level pressure is found at the centers of tropical cyclones and tornadoes.

## Altitude atmospheric pressure variation

A very local storm above Snæfellsjökull, showing clouds formed on the mountain by Orographic Lift
Variation in atmospheric pressure with altitude, computed for 15 °C and 0% relative humidity.
This plastic bottle was sealed at approximately 14,000 feet (4,300 m) altitude, and was crushed by the increase in atmospheric pressure —at 9,000 feet (2,700 m) and 1,000 feet (300 m)— as it was brought down towards 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. As altitude increases, atmospheric pressure decreases. One can calculate the atmospheric pressure at a given altitude.[10] Temperature and humidity also affect the atmospheric pressure, and it is necessary to know these to compute an accurate figure. The graph at right was developed for a temperature of 15 °C and a relative humidity of 0%.

Within the troposphere, the following equation (the Barometric formula) relates atmospheric pressure p to altitude h

$p = p_0 \cdot \left(1 - \frac{L \cdot h}{T_0} \right)^\frac{g \cdot M}{R \cdot L} \approx p_0 \cdot \exp \left(- \frac{g \cdot M \cdot h}{R \cdot T_0} \right),$

where the constant parameters are as described below:

ParameterDescriptionValue
p0sea level standard atmospheric pressure101325 Pa
Ltemperature lapse rate0.0065 K/m
T0sea level standard temperature298.15 K
gEarth-surface gravitational acceleration9.80665 m/s2
Mmolar mass of dry air0.0289644 kg/mol
Runiversal gas constant8.31447 J/(mol•K)

## Local atmospheric pressure variation

Hurricane Wilma on 19 October 2005–882 hPa (12.79 psi) 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.

Atmospheric pressure shows a diurnal or semidiurnal (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 records

The highest adjusted-to-sealevel barometric pressure ever recorded on Earth (above 750 meters) was 1,085.7 hectopascals (32.06 inHg) measured in Tosontsengel, Mongolia on 19 December 2001.[11] The highest adjusted-to-sealevel barometeric pressure ever recorded (below 750 meters) was at Agata, Evenhiyskiy, Russia [66°53’N, 93°28’E, elevation: 261 m (856.3 ft)] on 31 December 1968 of 1,083.3 hectopascals (31.99 inHg).[12] The discrimination is due to the problematic assumptions (assuming a standard lapse rate) associated with reduction of sea level from high elevations.[11] The lowest non-tornadic atmospheric pressure ever measured was 870 hPa (25.69 inches), set on 12 October 1979, during Typhoon Tip in the western Pacific Ocean. The measurement was based on an instrumental observation made from a reconnaissance aircraft.[13]

## Atmospheric pressure based on height of water

Atmospheric pressure is often measured with a mercury barometer, and a height of approximately 760 millimetres (30 in) 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 kPa or 14.7 psi) is the amount of pressure that can lift water approximately 10.3 m (34 ft). 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 35 hPa.

In general, non-professional barometers are aneroid barometers or strain gauge based. See pressure measurement for a description of barometers.

## Boiling point of water

Water boils at about 100 °C (212 °F) at standard atmospheric pressure. The boiling point is the temperature at which the vapor pressure is equal to the atmospheric pressure around the water.[14] Because of this, the boiling point of water is lower at lower pressure and higher at higher pressure. This is why cooking at elevations more than 1,100 m (3,600 ft) above sea level requires adjustments to recipes.[15] 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.[16]

 Underwater diving portal

## References

1. ^ "You've got one tonne of air pressing down on you, the same as a small car". physics.org. Retrieved 2 November 2012.
2. ^ International Civil Aviation Organization, Manual of the ICAO Standard Atmosphere, Doc 7488-CD, Third Edition, 1993, ISBN 92-9194-004-6.
3. ^ "Standard Pressure", Publications (IUPAC.org)
4. ^ Compressor.co.za, May 2003 Newsletter
5. ^ GPA Standard 2172-09, §3.3
6. ^ Sample METAR of CYVR Nav Canada
7. ^
8. ^ Montréal-Trudeau Int'l Airport - Past 24 Hour Conditions, Weatheroffice.ec.gc.ca, 2012-07-30, retrieved 2012-10-17
9. ^ Weather, Weatheroffice.ec.gc.ca, 2012-07-30, retrieved 2012-10-17
10. ^ A quick derivation relating altitude to air pressure by Portland State Aerospace Society, 2004, accessed 05032011
11. ^ a b Highest Sea Lvl Air Pressure Above 750m, Wmo.asu.edu, 2001-12-19, retrieved 2012-10-17
12. ^
13. ^ Chris Landsea (2010-04-21). "Subject: E1), Which is the most intense tropical cyclone on record?". Atlantic Oceanographic and Meteorological Laboratory. Archived from the original on 6 December 2010. Retrieved 2010-11-23.
14. ^ Vapour Pressure, Hyperphysics.phy-astr.gsu.edu, retrieved 2012-10-17
15. ^ High Altitude Cooking, Crisco.com, 2010-09-30, retrieved 2012-10-17
16. ^ Berberan-Santos, M. N.; Bodunov, E. N.; Pogliani, L. (1997). "On the barometric formula". American Journal of Physics 65 (5): 404–412. Bibcode 1997AmJPh..65..404B. doi:10.1119/1.18555