Pascal (unit) explained

pascal
Standard:SI
Quantity:pressure or stress
Symbol:Pa
Namedafter:Blaise Pascal
Units1:SI base units:
Inunits1:kgm−1s−2
Units2:US customary units
Units3:atmosphere
Inunits3:1Pa
Units4:bar
Inunits4:10−5 bar
Units5:barye (CGS unit)
Inunits5:10 Ba

The pascal (symbol: Pa) is the unit of pressure in the International System of Units (SI). It is also used to quantify internal pressure, stress, Young's modulus, and ultimate tensile strength. The unit, named after Blaise Pascal, is an SI coherent derived unit defined as one newton per square metre (N/m2). It is also equivalent to 10 barye (10 Ba) in the CGS system. Common multiple units of the pascal are the hectopascal (1 hPa = 100 Pa), which is equal to one millibar, and the kilopascal (1 kPa = 1000 Pa), which is equal to one centibar.

The unit of measurement called standard atmosphere (atm) is defined as 101,325 Pa.[1] Meteorological observations typically report atmospheric pressure in hectopascals per the recommendation of the World Meteorological Organization, thus a standard atmosphere (atm) or typical sea-level air pressure is about 1013 hPa. Reports in the United States typically use inches of mercury[2] or millibars (hectopascals).[3] [4] In Canada these reports are given in kilopascals.[5]

Etymology

The unit is named after Blaise Pascal, noted for his contributions to hydrodynamics and hydrostatics, and experiments with a barometer. The name pascal was adopted for the SI unit newton per square metre (N/m2) by the 14th General Conference on Weights and Measures in 1971.[6] [7]

Definition

The pascal can be expressed using SI derived units, or alternatively solely SI base units, as:

{\rm1~Pa=1~

N
m2

=1~

kg
m{

s2}=1~

J
m3

}

where N is the newton, m is the metre, kg is the kilogram, s is the second, and J is the joule.[8]

One pascal is the pressure exerted by a force of magnitude one newton perpendicularly upon an area of one square metre.

Standard units

The unit of measurement called an atmosphere or a standard atmosphere (atm) is 101325abbr=onNaNabbr=on.[9] This value is often used as a reference pressure and specified as such in some national and international standards, such as the International Organization for Standardization's ISO 2787 (pneumatic tools and compressors), ISO 2533 (aerospace) and ISO 5024 (petroleum). In contrast, International Union of Pure and Applied Chemistry (IUPAC) recommends the use of 100 kPa as a standard pressure when reporting the properties of substances.[10]

Unicode has dedicated code-points and in the CJK Compatibility block, but these exist only for backward-compatibility with some older ideographic character-sets and are therefore deprecated.[11] [12]

Uses

The pascal (Pa) or kilopascal (kPa) as a unit of pressure measurement is widely used throughout the world and has largely replaced the pounds per square inch (psi) unit, except in some countries that still use the imperial measurement system or the US customary system, including the United States.

Geophysicists use the gigapascal (GPa) in measuring or calculating tectonic stresses and pressures within the Earth.

Medical elastography measures tissue stiffness non-invasively with ultrasound or magnetic resonance imaging, and often displays the Young's modulus or shear modulus of tissue in kilopascals.

In materials science and engineering, the pascal measures the stiffness, tensile strength and compressive strength of materials. In engineering the megapascal (MPa) is the preferred unit for these uses, because the pascal represents a very small quantity.

Approximate Young's modulus for common substances[13] ! Material !! Young's modulus
(GPa)
2–4
Hemp fibre 35
69
83
117
200
1220

The pascal is also equivalent to the SI unit of energy density, the joule per cubic metre. This applies not only to the thermodynamics of pressurised gases, but also to the energy density of electric, magnetic, and gravitational fields.

The pascal is used to measure sound pressure. Loudness is the subjective experience of sound pressure and is measured as a sound pressure level (SPL) on a logarithmic scale of the sound pressure relative to some reference pressure. For sound in air, a pressure of 20 μPa is considered to be at the threshold of hearing for humans and is a common reference pressure, so that its SPL is zero.

The airtightness of buildings is measured at 50 Pa.[14]

In medicine, blood pressure is measured in millimeters of mercury (mmHg, very close to one Torr). The normal adult blood pressure is less than 120 mmHg systolic BP (SBP) and less than 80 mmHg diastolic BP (DBP).[15] Convert mmHg to SI units as follows: Hence normal blood pressure in SI units is less than 16.0 kPa SBP and less than 10.7 kPa DBP. These values are similar to the pressure of water column of average human height; so pressure has to be measured on arm roughly at the level of the heart.

Hectopascal and millibar units

See main article: Bar (unit). The units of atmospheric pressure commonly used in meteorology were formerly the bar (100,000 Pa), which is close to the average air pressure on Earth, and the millibar. Since the introduction of SI units, meteorologists generally measure pressures in hectopascals (hPa) unit, equal to 100 pascals or 1 millibar.[16] [17] [18] [19] [20] [21] [22] Exceptions include Canada, which uses kilopascals (kPa). In many other fields of science, prefixes that are a power of 1000 are preferred, which excludes the hectopascal from use.[23] [24]

Many countries also use millibars. In practically all other fields, the kilopascal is used instead.[25]

Multiples and submultiples

Decimal multiples and submultiples are formed using standard SI units.

Multiples! colspan="3"
Submultiples
ValueNameSymbolValueNameSymbol
101 PadecapascaldaPa10−1 PadecipascaldPa
102 PahectopascalhPa10−2 PacentipascalcPa
103 PakilopascalkPa10−3 PamillipascalmPa
105 Pabar (non-SI unit)bar
106 PamegapascalMPa10−6 PamicropascalμPa
109 PagigapascalGPa10−9 PananopascalnPa
1012 PaterapascalTPa10−12 PapicopascalpPa
1015 PapetapascalPPa10−15 PafemtopascalfPa
1018 PaexapascalEPa10−18 PaattopascalaPa
1021 PazettapascalZPa10−21 PazeptopascalzPa
1024 PayottapascalYPa10−24 PayoctopascalyPa
1027 ParonnapascalRPa10−27ParontopascalrPa
1030 PaquettapascalQPa10−30 PaquectopascalqPa

See also

Notes and References

  1. Web site: Definition of the standard atmosphere. . 2015-02-16.
  2. Web site: National Weather Service glossary page on inches of mercury.
  3. Web site: US government atmospheric pressure map.
  4. Web site: The Weather Channel.
  5. Web site: Canadian Weather - Environment Canada. Environment. Canada. 16 April 2013. weather.gc.ca.
  6. http://www.bipm.fr/en/convention/cgpm/14/pascal-siemens.html bipm.fr
  7. http://www.bipm.org/utils/common/pdf/CGPM/CGPM14.pdf#page=78 Minutes of the 14. General Conference on Weights and Measures
  8. http://www.bipm.org/en/si/si_brochure/chapter2/2-2/table3.html Table 3 (Section 2.2.2)
  9. Web site: Resolution 4 of the 10th meeting of the CGPM . . 1954 . 2010-04-05 . https://web.archive.org/web/20210330142301/http://www.bipm.org/jsp/en/ViewCGPMResolution.jsp?CGPM=10&RES=4 . 30 March 2021 . dead .
  10. IUPAC.org, Gold Book, Standard Pressure
  11. Web site: CJK Compatibility. 2016-02-21. 2015.
  12. Book: The Unicode Consortium. The Unicode Standard, Version 8.0.0. Mountain View, CA. 2015. 978-1-936213-10-8. 2016-02-21.
  13. Web site: Tensile Modulus – Modulus of Elasticity or Young's Modulus – for some common Materials. 2015-02-16.
  14. Web site: Chapter 7 ResNet Standards: ResNet National Standard for Home Energy Audits . ResNet . 2010 . 2011-03-03 . dead . https://web.archive.org/web/20110726045004/http://www.resnet.us/hotnews/revised_chapter_seven_final_9-16-10.pdf . 26 July 2011.
  15. Web site: BP Guideline Target:BP . American Heart Association . 18 May 2020.
  16. Web site: KNMI – Weer – Waarnemingen. 4 December 2016.
  17. Web site: Comment convertir la pression? – IRM. 4 December 2016.
  18. Web site: DWD. 20 December 2006. https://web.archive.org/web/20080210040845/http://www.dwd.de/de/WundK/W_aktuell/Beobachtungen.htm. 10 February 2008. dead.
  19. Web site: Japan Meteorological Agency – Weather Maps. 4 December 2016.
  20. Web site: MDD. https://web.archive.org/web/20060506192242/http://www.meteoam.it/modules.php?name=analisiPrevisioniSuolo. dead. 6 May 2006.
  21. http://weather.noaa.gov/weather/current/KDCA.html NOAA
  22. Web site: Key to symbols and terms. Met Office. United Kingdom. 4 December 2016.
  23. Web site: CTV News, weather; current conditions in Montreal. https://web.archive.org/web/20110604131321/http://www.ctv.ca/servlet/HTMLTemplate/!ctvDynNews/Weather/Weather?City=Montreal. dead. 4 June 2011.
  24. Web site: Montréal, QC – 7 Day Forecast – Environment Canada. Environment. Canada. 4 December 2016. 30 November 2017. https://web.archive.org/web/20171130163853/http://www.weatheroffice.gc.ca/city/pages/qc-147_metric_e.html. dead.
  25. Ambler Thompson (Editor)