Atmospheric pressure

Atmospheric pressure, also known as air pressure or barometric pressure (after the barometer), is the pressure within the atmosphere of Earth. The standard atmosphere (symbol: atm) is a unit of pressure defined as 101,325 Pa (1,013.25 hPa), which is equivalent to 1,013.25 millibars,^[1] 760 mm Hg, 29.9212 inches Hg, or 14.696 psi.^[2] The atm unit is roughly equivalent to the mean sea-level atmospheric pressure on Earth; that is, the Earth's atmospheric pressure at sea level is approximately 1 atm.

In most circumstances, atmospheric pressure is closely approximated by the hydrostatic pressure caused by the weight of air above the measurement point. As elevation increases, there is less overlying atmospheric mass, so atmospheric pressure decreases with increasing elevation. Because the atmosphere is thin relative to the Earth's radius—especially the dense atmospheric layer at low altitudes—the Earth's gravitational acceleration as a function of altitude can be approximated as constant and contributes little to this fall-off. Pressure measures force per unit area, with SI units of pascals (1 pascal = 1 newton per square metre, 1 N/m²). On average, a column of air with a cross-sectional area of 1 square centimetre (cm²), measured from the mean (average) sea level to the top of Earth's atmosphere, has a mass of about 1.03 kilogram and exerts a force or "weight" of about 10.1 newtons, resulting in a pressure of 10.1 N/cm² or 101 kN/m² (101 kilopascals, kPa). A column of air with a cross-sectional area of 1 in² would have a weight of about 14.7 lbf, resulting in a pressure of 14.7 lbf/in².

Mechanism

Atmospheric pressure is caused by the gravitational attraction of the planet on the atmospheric gases above the surface and is a function of the mass of the planet, the radius of the surface, and the amount and composition of the gases and their vertical distribution in the atmosphere.^[3]^[4] It is modified by the planetary rotation and local effects such as wind velocity, density variations due to temperature and variations in composition.^[5]

Mean sea-level pressure

Map showing atmospheric pressure in mbar or hPa

The mean sea-level pressure (MSLP) is the atmospheric pressure at mean sea level. This is the atmospheric pressure normally given in weather reports on radio, television, and newspapers or on the Internet.

The altimeter setting in aviation is an atmospheric pressure adjustment.

Average sea-level pressure is 1,013.25 hPa (29.921 inHg; 760.00 mmHg). In aviation weather reports (METAR), QNH is transmitted around the world in hectopascals or millibars (1 hectopascal = 1 millibar), except in the United States, Canada, and Japan where it is reported in inches of mercury (to two decimal places). The United States and Canada also report sea-level pressure SLP, which is adjusted to sea level by a different method, in the remarks section, not in the 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]

In the US weather code remarks, three digits are all that are transmitted; decimal points and the one or two most significant digits are omitted: 1,013.2 hPa (14.695 psi) is transmitted as 132; 1,000 hPa (100 kPa) is transmitted as 000; 998.7 hPa 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 1,050 hPa (15.2 psi; 31 inHg), with record highs close to 1,085 hPa (15.74 psi; 32.0 inHg). The lowest measurable sea-level pressure is found at the centres of tropical cyclones and tornadoes, with a record low of 870 hPa (12.6 psi; 26 inHg).

Surface pressure

Surface pressure is the atmospheric pressure at a location on Earth's surface (terrain and oceans). It is directly proportional to the mass of air over that location.

For numerical reasons, atmospheric models such as general circulation models (GCMs) usually predict the nondimensional logarithm of surface pressure.

The average value of surface pressure on Earth is 985 hPa.^[8] This is in contrast to mean sea-level pressure, which involves the extrapolation of pressure to sea level for locations above or below sea level. The average pressure at mean sea level (MSL) in the International Standard Atmosphere (ISA) is 1,013.25 hPa, or 1 atmosphere (atm), or 29.92 inches of mercury.

Pressure (P), mass (m), and acceleration due to gravity (g) are related by P = F/A = (m*g)/A, where A is the surface area. Atmospheric pressure is thus proportional to the weight per unit area of the atmospheric mass above that location.

Altitude variation

Pressure on Earth varies with the altitude of the surface, so air pressure on mountains is usually lower than air pressure at 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.^[9] Temperature and humidity also affect the atmospheric pressure. Pressure is proportional to temperature and inversely related to humidity, and both of these are necessary to compute an accurate figure. The graph on the rightabove was developed for a temperature of 15 °C and a relative humidity of 0%.

At low altitudes above sea level, the pressure decreases by about 1.2 kPa (12 hPa) for every 100 metres. For higher altitudes within the troposphere, the following equation (the barometric formula) relates atmospheric pressure p to altitude h:

${\begin{aligned}p&=p_{0}\cdot \left(1-{\frac {L\cdot h}{T_{0}}}\right)^{\frac {g\cdot M}{R_{0}\cdot L}}\\&=p_{0}\cdot \left(1-{\frac {g\cdot h}{c_{\text{p}}\cdot T_{0}}}\right)^{\frac {c_{\text{p}}\cdot M}{R_{0}}}\approx p_{0}\cdot \exp \left(-{\frac {g\cdot h\cdot M}{T_{0}\cdot R_{0}}}\right)\end{aligned}}$

The values in these equations are:

Parameter	Description	Value
h	Height above mean sea level	m
p₀	Sea level standard atmospheric pressure	101,325 Pa
L	Temperature lapse rate, = g/c_p for dry air	~ 0.00976 K/m
c_p	Constant-pressure specific heat	1,004.68506 J/(kg·K)
T₀	Sea level standard temperature	288.16 K
g	Earth-surface gravitational acceleration	9.80665 m/s²
M	Molar mass of dry air	0.02896968 kg/mol
R₀	Universal gas constant	8.314462618 J/(mol·K)

Local variation

Atmospheric pressure varies widely on Earth, and these changes are important in studying weather and climate. Atmospheric pressure shows a diurnal or semidiurnal (twice-daily) cycle caused by global atmospheric tides. This effect is strongest in tropical zones, with an amplitude of a few hectopascals, and almost zero in polar areas. These variations have two superimposed cycles, a circadian (24 h) cycle, and a semi-circadian (12 h) cycle.

Records

The highest adjusted-to-sea level barometric pressure ever recorded on Earth (above 750 meters) was 1,084.8 hPa (32.03 inHg) measured in Tosontsengel, Mongolia on 19 December 2001.^[10] The highest adjusted-to-sea level barometric pressure ever recorded (below 750 meters) was at Agata in Evenk Autonomous Okrug, Russia (66°53' N, 93°28' E, elevation: 261 m, 856 ft) on 31 December 1968 of 1,083.8 hPa (32.005 inHg).^[11] The discrimination is due to the problematic assumptions (assuming a standard lapse rate) associated with reduction of sea level from high elevations.^[10]

The Dead Sea, the lowest place on Earth at 430 metres (1,410 ft) below sea level, has a correspondingly high typical atmospheric pressure of 1,065 hPa.^[12] A below-sea-level surface pressure record of 1,081.8 hPa (31.95 inHg) was set on 21 February 1961.^[13]

The lowest non-tornadic atmospheric pressure ever measured was 870 hPa (0.858 atm; 25.69 inHg), 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.^[14]

Measurement based on the depth of water

One atmosphere (101.325 kPa or 14.7 psi) is also the pressure caused by the weight of a column of freshwater of approximately 10.3 m (33.8 ft). Thus, a diver 10.3 m under water experiences a pressure of about 2 atmospheres (1 atm of air plus 1 atm of water). Conversely, 10.3 m is the maximum height to which water can be raised using suction under standard atmospheric conditions.

Low pressures, such as natural gas lines, are sometimes specified in inches of water, typically written as w.c. (water column) gauge or w.g. (inches water) gauge. A typical gas-using residential appliance in the US is rated for a maximum of 1⁄2 psi (3.4 kPa; 34 mbar), which is approximately 14 w.g. Similar metric units with a wide variety of names and notation based on millimetres, centimetres or metres are now less commonly used.

Boiling point of liquids

Pure water boils at 100 °C (212 °F) at earth's standard atmospheric pressure. The boiling point is the temperature at which the vapour pressure is equal to the atmospheric pressure around the liquid.^[15] Because of this, the boiling point of liquids is lower at lower pressure and higher at higher pressure. Cooking at high elevations, therefore, requires adjustments to recipes^[16] or pressure cooking. 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.^[17] Conversely, if one wishes to evaporate a liquid at a lower temperature, for example in distillation, the atmospheric pressure may be lowered by using a vacuum pump, as in a rotary evaporator.

Measurement and maps

An important application of the knowledge that atmospheric pressure varies directly with altitude was in determining the height of hills and mountains, thanks to reliable pressure measurement devices. In 1774, Maskelyne was confirming Newton's theory of gravitation at and on Schiehallion mountain in Scotland, and he needed to measure elevations on the mountain's sides accurately. William Roy, using barometric pressure, was able to confirm Maskelyne's height determinations; the agreement was within one meter (3.28 feet). This method became and continues to be useful for survey work and map making.^[18]

References

^ "Statement (2001)". BIPM. Retrieved 2022-03-19.
^ International Civil Aviation Organization. Manual of the ICAO Standard Atmosphere, Doc 7488-CD, Third Edition, 1993. ISBN 92-9194-004-6.
^ "atmospheric pressure (encyclopedic entry)". National Geographic. Archived from the original on 28 February 2018. Retrieved 28 February 2018.
^ "Q & A: Pressure – Gravity Matters?". Department of Physics. University of Illinois Urbana-Champaign. Archived from the original on 28 February 2018. Retrieved 28 February 2018.
^ Jacob, Daniel J. (1999). Introduction to Atmospheric Chemistry. Princeton University Press. ISBN 9780691001852. Archived from the original on 2021-10-01. Retrieved 2020-10-15.
^ Sample METAR of CYVR Archived 2019-05-25 at the Wayback Machine Nav Canada
^ Montreal Current Weather, CBC Montreal, Canada, archived from the original on 2014-03-30, retrieved 2014-03-30
^ Jacob, Daniel J. Introduction to Atmospheric Chemistry Archived 2020-07-25 at the Wayback Machine. Princeton University Press, 1999.
^ A quick derivation relating altitude to air pressure Archived 2011-09-28 at the Wayback Machine by Portland State Aerospace Society, 2004, accessed 05032011
^ ^a ^b World: Highest Sea Level Air Pressure Above 750 m, World Meteorological Organization's World Weather & Climate Extremes Archive, 2001-12-19, archived from the original on 2012-10-17, retrieved 2013-04-15
^ World: Highest Sea Level Air Pressure Below 750 m, World Meteorological Organization's World Weather & Climate Extremes Archive, 1968-12-31, archived from the original on 2013-05-14, retrieved 2013-04-15
^ Kramer, MR; Springer C; Berkman N; Glazer M; Bublil M; Bar-Yishay E; Godfrey S (March 1998). "Rehabilitation of hypoxemic patients with COPD at low altitude at the Dead Sea, the lowest place on earth" (PDF). Chest. 113 (3): 571–575. doi:10.1378/chest.113.3.571. PMID 9515826. Archived from the original (PDF) on 2013-10-29.
^ Court, Arnold (1969). "Improbable Pressure Extreme: 1070 Mb". Bulletin of the American Meteorological Society. 50 (4): 248–50. JSTOR 26252600.
^ 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.
^ Vapour Pressure, Hyperphysics.phy-astr.gsu.edu, archived from the original on 2017-09-14, retrieved 2012-10-17
^ High Altitude Cooking, Crisco.com, 2010-09-30, archived from the original on 2012-09-07, retrieved 2012-10-17
^ 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.
^ Hewitt, Rachel, Map of a Nation – a Biography of the Ordnance Survey ISBN 1-84708-098-7

External links

Experiments

[1] "Statement (2001)". BIPM. Retrieved 2022-03-19.

[ICAO-2] International Civil Aviation Organization. Manual of the ICAO Standard Atmosphere, Doc 7488-CD, Third Edition, 1993. ISBN 92-9194-004-6.

[3] "atmospheric pressure (encyclopedic entry)". National Geographic. Archived from the original on 28 February 2018. Retrieved 28 February 2018.

[4] "Q & A: Pressure – Gravity Matters?". Department of Physics. University of Illinois Urbana-Champaign. Archived from the original on 28 February 2018. Retrieved 28 February 2018.

[5] Jacob, Daniel J. (1999). Introduction to Atmospheric Chemistry. Princeton University Press. ISBN 9780691001852. Archived from the original on 2021-10-01. Retrieved 2020-10-15.

[6] Sample METAR of CYVR Archived 2019-05-25 at the Wayback Machine Nav Canada

[7] Montreal Current Weather, CBC Montreal, Canada, archived from the original on 2014-03-30, retrieved 2014-03-30

[jacobs-8] Jacob, Daniel J. Introduction to Atmospheric Chemistry Archived 2020-07-25 at the Wayback Machine. Princeton University Press, 1999.

[9] A quick derivation relating altitude to air pressure Archived 2011-09-28 at the Wayback Machine by Portland State Aerospace Society, 2004, accessed 05032011

[wmo.ASU.edu-10] World: Highest Sea Level Air Pressure Above 750 m, World Meteorological Organization's World Weather & Climate Extremes Archive, 2001-12-19, archived from the original on 2012-10-17, retrieved 2013-04-15

[11] World: Highest Sea Level Air Pressure Below 750 m, World Meteorological Organization's World Weather & Climate Extremes Archive, 1968-12-31, archived from the original on 2013-05-14, retrieved 2013-04-15

[12] Kramer, MR; Springer C; Berkman N; Glazer M; Bublil M; Bar-Yishay E; Godfrey S (March 1998). "Rehabilitation of hypoxemic patients with COPD at low altitude at the Dead Sea, the lowest place on earth" (PDF). Chest. 113 (3): 571–575. doi:10.1378/chest.113.3.571. PMID 9515826. Archived from the original (PDF) on 2013-10-29.

[13] Court, Arnold (1969). "Improbable Pressure Extreme: 1070 Mb". Bulletin of the American Meteorological Society. 50 (4): 248–50. JSTOR 26252600.

[FAQ1-14] 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.

[15] Vapour Pressure, Hyperphysics.phy-astr.gsu.edu, archived from the original on 2017-09-14, retrieved 2012-10-17

[16] High Altitude Cooking, Crisco.com, 2010-09-30, archived from the original on 2012-09-07, retrieved 2012-10-17

[17] 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.

[18] Hewitt, Rachel, Map of a Nation – a Biography of the Ordnance Survey ISBN 1-84708-098-7

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v t e Meteorological data and variables
General	Adiabatic processes Advection Buoyancy Lapse rate Lightning Surface solar radiation Surface weather analysis Visibility Vorticity Wind Wind shear
Condensation	Cloud Cloud condensation nuclei (CCN) Fog Convective condensation level (CCL) Lifting condensation level (LCL) Precipitable water Precipitation Water vapor
Convection	Convective available potential energy (CAPE) Convective inhibition (CIN) Convective instability Convective momentum transport Conditional symmetric instability Convective temperature (T_c) Equilibrium level (EL) Free convective layer (FCL) Helicity K Index Level of free convection (LFC) Lifted index (LI) Maximum parcel level (MPL) Bulk Richardson number (BRN)
Temperature	Dew point (T_d) Dew point depression Dry-bulb temperature Equivalent temperature (T_e) Forest fire weather index Haines Index Heat index Humidex Humidity Relative humidity (RH) Mixing ratio Potential temperature (θ) Equivalent potential temperature (θ_e) Sea surface temperature (SST) Temperature anomaly Thermodynamic temperature Vapor pressure Virtual temperature Wet-bulb temperature Wet-bulb globe temperature Wet-bulb potential temperature Wind chill
Pressure	Atmospheric pressure Baroclinity Barotropicity Pressure gradient Pressure-gradient force (PGF)
Velocity	Maximum potential intensity