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{{Short description|Reference values for temperature and pressure}}
{{Distinguish|Standard sea-level conditions}}
{{for|the conditions used in thermodynamic evaluations|Standard state}}
'''Standard temperature and pressure''' ('''STP''') or '''standard conditions for temperature and pressure''' are various ] sets of conditions for experimental measurements used to allow comparisons to be made between different sets of data. The most used standards are those of the ] (IUPAC) and the ] (NIST), although these are not universally accepted. Other organizations have established a variety of other definitions.


In ] and ], the standard conditions for temperature and pressure are often necessary for expressing the volumes of gases and liquids and related quantities such as the rate of ] (the volumes of gases vary significantly with temperature and pressure): ] (Sm<sup>3</sup>/s), and normal cubic meters per second (Nm<sup>3</sup>/s).
BY,

Gabby Rose humfurger
Many technical publications (books, journals, advertisements for equipment and machinery) simply state "standard conditions" without specifying them; often substituting the term with older "normal conditions", or "NC". In special cases this can lead to confusion and errors. Good practice always incorporates the reference conditions of temperature and pressure. If not stated, some room environment conditions are supposed, close to 1 atm pressure, {{degK|273.15}} ({{degC|0}}), and 0% humidity.

== Definitions ==

In chemistry, IUPAC changed its definition of standard temperature and pressure in 1982:<ref name="IUPAC print">{{cite book|title=IUPAC. Compendium of Chemical Terminology|year=1997|publisher=Blackwell Scientific Publications|location=Oxford|isbn=0-632-03583-8|author=A. D. McNaught and A. Wilkinson|editor5-first=Alan|editor5-last=McNaught|editor4-first=Aubrey|editor4-last=Jenkins|editor3-first=Bedřich|editor3-last=Košata|editor2-first=Jiří|editor2-last=Jirát|editor1-first=Miloslav|editor1-last=Nič|edition=2nd|url=https://dev.goldbook.iupac.org/files/pdf/green_book_2ed.pdf#page=62|page=54|doi=10.1351/goldbook|quote=Standard conditions for gases: ... and pressure of 10<sup>5</sup>&nbsp;pascals. The previous standard ] of 1&nbsp;atm (equivalent to 101.325&nbsp;kPa) was changed to 100&nbsp;] in 1982. IUPAC recommends that the former pressure should be discontinued.}}</ref><ref name="IUPAC web">{{cite book|entry=standard pressure|title=IUPAC. Compendium of Chemical Terminology|year=1997|publisher=Blackwell Scientific Publications|location=Oxford|isbn=978-0-9678550-9-7|entry-url=https://goldbook.iupac.org/terms/view/S05921|author=A. D. McNaught and A. Wilkinson|edition=2nd|doi=10.1351/goldbook.S05921}}</ref>
* Until 1982, STP was defined as a ] of 273.15&nbsp;] (0&nbsp;°C, 32&nbsp;°F) and an ] of exactly 1&nbsp;] (101.325&nbsp;]).
* Since 1982, STP has been defined as a ] of 273.15&nbsp;] (0&nbsp;°C, 32&nbsp;°F) and an ] of exactly 1&nbsp;] (100&nbsp;kPa, 10<sup>5</sup>&nbsp;]).

] uses a temperature of 20&nbsp;°C (293.15&nbsp;K, 68&nbsp;°F) and an absolute pressure of 1&nbsp;atm (14.696&nbsp;psi, 101.325&nbsp;kPa).<ref>{{cite journal|title=20 Degrees Celsius--A Short History of the Standard Reference Temperature for Industrial Dimensional Measurements|journal=NIST |date=January 2007 |volume=112 |issue=1 |pages=1–23 |url=https://www.nist.gov/publications/20-degrees-celsius-short-history-standard-reference-temperature-industrial-dimensional|last1=Doiron |first1=Theodore D. |doi=10.6028/jres.112.001 |pmid=27110451 |pmc=4654601 }}</ref> This standard is also called '''normal temperature and pressure''' (abbreviated as '''NTP'''). However, a common temperature and pressure in use by NIST for thermodynamic experiments is 298.15&nbsp;K (25&nbsp;°C, 77&nbsp;°F) and 1 ] (14.5038 ], 100 ]).<ref>{{Cite book|last=Helrich|first=Carl S.|url=https://books.google.com/books?id=oU5DICYlDEAC&q=Modern+Thermodynamics+with+Statistical+Mechanics&pg=PA1|title=Modern Thermodynamics with Statistical Mechanics|date=2008-11-14|publisher=Springer Science & Business Media|isbn=978-3-540-85418-0|language=en}}</ref><ref>{{Cite web|title=A Guide to the NIST Chemistry WebBook|url=https://webbook.nist.gov/chemistry/guide/index.html.en-us.en|access-date=2020-10-06|website=webbook.nist.gov}}</ref> NIST also uses 15&nbsp;°C (288.15&nbsp;K, 59&nbsp;°F) for the temperature compensation of refined petroleum products, despite noting that these two values are not exactly consistent with each other.<ref>{{cite web|title=Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices|url=https://www.nist.gov/system/files/documents/2021/05/05/00-20-hb44-web-final_0.pdf|page = 3-1}}</ref>

The '''ISO 13443''' standard reference conditions for natural gas and similar fluids are {{convert|288.15|K|C F}} and 101.325 kPa;<ref name=ISO13443 />
by contrast, the ] adopts {{convert|60|F|C K|2}}.<ref></ref>

=== Past uses ===
Before 1918, many professionals and scientists using the metric system of units defined the standard reference conditions of temperature and pressure for expressing gas volumes as being {{convert|15|C|K F|2}} and {{convert|101.325|kPa|atm Torr|lk=on|abbr=on|sigfig=3}}. During those same years, the most commonly used standard reference conditions for people using the ] or ] systems was {{convert|60|F|C K|2}} and 14.696&nbsp;] (1&nbsp;atm) because it was almost universally used by the oil and gas industries worldwide. The above definitions are no longer the most commonly used in either system of units.<ref>{{cite journal|title=20 °C – A Short History of the Standard Reference Temperature for Industrial Dimensional Measurements|last=Doiron|first=Ted|date=Jan–Feb 2007|journal=Journal of Research of the National Institute of Standards and Technology|volume=112|issue=1|pages=1–23|doi=10.6028/jres.112.001|pmid=27110451|pmc=4654601}}</ref>

=== Current use ===

Many different definitions of standard reference conditions are currently being used by organizations all over the world. The table below lists a few of them, but there are more. Some of these organizations used other standards in the past. For example, IUPAC has, since 1982, defined standard reference conditions as being 0&nbsp;°C and 100&nbsp;kPa (1&nbsp;bar), in contrast to its old standard of 0&nbsp;°C and 101.325&nbsp;kPa (1&nbsp;atm).<ref name="IUPAC web" /> The new value is the mean atmospheric pressure at an altitude of about 112 metres, which is closer to the worldwide median altitude of human habitation (194 m).<ref>{{cite journal|title=Hypsographic demography: The distribution of human population by altitude|last1=Cohen|first1=Joel E.|last2=Small|first2=Christopher|date=November 24, 1998|journal=Proceedings of the National Academy of Sciences|volume=95|issue=24|pages=14009–14014|doi=10.1073/pnas.95.24.14009|pmid=9826643|pmc=24316|bibcode=1998PNAS...9514009C |doi-access=free}}</ref>

Natural gas companies in Europe, Australia, and South America have adopted 15&nbsp;°C (59&nbsp;°F) and 101.325&nbsp;kPa (14.696&nbsp;psi) as their standard gas volume reference conditions, used as the base values for defining the ].<ref>{{cite web|url=http://www.gassco.no/sw3138.asp |title=Concepts&nbsp;– Standard cubic meter (scm) |access-date=2008-07-25 |author=Gassco |quote=Scm: The usual abbreviation for standard cubic metre&nbsp;– a cubic metre of gas under a standard condition, defined as an atmospheric pressure of 1.01325&nbsp;] and a temperature of 15°C. This unit provides a measure for gas volume. |url-status=dead |archive-url=https://web.archive.org/web/20071018212002/http://www.gassco.no/sw3138.asp |archive-date=October 18, 2007 |author-link=Gassco }}</ref><ref>{{cite web |url=http://www.nord-stream.com/uploads/media/Nord_Stream_Route_Status_ENGLISH.pdf |archive-url=https://web.archive.org/web/20080216043432/http://www.nord-stream.com/uploads/media/Nord_Stream_Route_Status_ENGLISH.pdf |url-status=dead |archive-date=2008-02-16 |title=Status of the Nord Stream pipeline route in the Baltic Sea |access-date=2008-07-25 |author=Nord Stream |date=October 2007 |quote=bcm: Billion Cubic Meter (standard cubic metre&nbsp;– a cubic metre of gas under a standard condition, defined as an atmospheric pressure of 1&nbsp;atm and a temperature of 15&nbsp;°C.)|author-link=Nord Stream }}</ref><ref>{{cite web |url=http://www.secinfo.com/dsD7y.1a.7.htm |title=Natural gas purchase and sale agreement |access-date=2008-07-25 |author=Metrogas |date=June 2004 |quote=Natural gas at standard condition shall mean the quantity of natural gas, which at a temperature of fifteen (15) Celsius degrees and a pressure of 101.325 kilopascals occupies the volume of one (1) cubic meter.|author-link=Metrogas }}</ref> Also, the ] (ISO), the ] (EPA) and ] (NIST) each have more than one definition of standard reference conditions in their various standards and regulations.

{| class="wikitable sortable" style="white-space:nowrap"
|+ Standard reference conditions in current use
! colspan=2| ]
! colspan=4| ]
! ]
! rowspan=3 class="unsortable" | Publishing or establishing entity
|-
! ]
! ]
! ]
! ]
! ]
! ]
! %
|-
! !! !! !! !! !! !! &nbsp;
|-
|{{convert|0|C|F|disp=tablecen|sortable=on}}||{{convert|100.000|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| || International Union of Pure and Applied Chemistry|] (STP) since 1982<ref name="IUPAC print" />
|-
|{{convert|0|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| ||],<ref name=NISTDataBase7>{{cite web|url=https://www.nist.gov/pml/data/star/index.cfm |title=NIST Standard Reference Database 124&nbsp;– Stopping-Power and Range Tables for Electrons, Protons, and Helium Ions |access-date=2008-07-25 |author=NIST |year=1989 |quote=If you want the program to treat the material as an ideal gas, the density will be assumed given by ''M''/''V'', where ''M'' is the gram molecular weight of the gas and ''V'' is the mol volume of 22414&nbsp;cm<sup>3</sup> at standard conditions (0&nbsp;deg&nbsp;C and 1&nbsp;atm). |url-status=dead |archive-url=https://web.archive.org/web/20101006154629/https://www.nist.gov/pml/data/star/index.cfm |archive-date=October 6, 2010 |author-link=National Institute of Standards and Technology }}</ref> ISO 10780,<ref name=ISO10780>{{cite web |author=ISO | title=ISO 10780:1994 : Stationary source emissions&nbsp;– Measurement of velocity and volume flowrate of gas streams in ducts |year=1994 |url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=18855| author-link=International Organization for Standardization }}</ref> formerly ] (STP) until 1982<ref name="IUPAC print" />

|-
|{{convert|15|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| style="text-align:center;" |0 ||]'s ],<ref name=Handbook> {{cite book|editor=Robert C. Weast |title=Handbook of Physics and Chemistry|edition=56th|publisher=CRC Press|pages=F201–F206|year=1975|isbn=978-0-87819-455-1}}</ref> ISO 13443,<ref name=ISO13443>{{cite book |title=Natural gas&nbsp;– Standard reference conditions (ISO 13443) |publisher=International Organization for Standardization |location=Geneva, Switzerland |url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=20461 |year=1996}}</ref> ],<ref name=EEA>{{cite book |title=Extraction, First Treatment and Loading of Liquid & Gaseous Fossil Fuels (Emission Inventory Guidebook B521, Activities 050201&nbsp;– 050303) |date=September 1999 |publisher=European Environmental Agency |location=Copenhagen, Denmark |url=https://www.eea.europa.eu/publications/EMEPCORINAIR3/B521vs3.1.pdf/view |format=PDF }}</ref> EGIA (SI Definition)<ref name=EGIA>"Electricity and Gas Inspection Act", SOR/86-131 (defines a set of standard conditions for Imperial units and a different set for metric units) &nbsp;.</ref> Density

|-
|{{convert|20|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| ||],<ref name=NSPS>"Standards of Performance for New Sources", 40 CFR—Protection of the Environment, Chapter I, Part 60, Section 60.2, 1990.</ref> ].<ref name=NISTJournal>{{cite journal |title=Design and Uncertainty for a PVTt Gas Flow Standard |journal=Journal of Research of the National Institute of Standards and Technology |volume=108 |year=2003 |url=http://www.cstl.nist.gov/div836/836.01/PDFs/2003/j80wri.pdf |archive-url=https://web.archive.org/web/20040721040809/http://www.cstl.nist.gov/div836/836.01/PDFs/2003/j80wri.pdf |url-status=dead |archive-date=2004-07-21 |issue=1 |pages=21–47 |doi=10.6028/jres.108.004 |pmid=27413592 |pmc=4844527 |last1=Wright |first1=J. D. |last2=Johnson |first2=A. N. |last3=Moldover |first3=M. R. }}</ref><ref>(Also called NTP, Normal Temperature and Pressure.)</ref><ref>{{Cite web |url=http://socratic.org/questions/what-is-the-difference-between-stp-and-ntp |title=What is the difference between STP and NTP?|website=Socratic |access-date=2018-08-28 |archive-url=https://web.archive.org/web/20151127035351/http://socratic.org/questions/what-is-the-difference-between-stp-and-ntp |archive-date=2015-11-27 |url-status=dead }}</ref>

|-
|{{convert|22|C|F|1|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| style="text-align:center;" |{{val|20|-|80}}||]<ref name=MedPHys>{{cite journal |title=AAPM's TG-51 protocol for clinical reference dosimetry of high-energy photon and electron beams|journal=Medical Physics |volume=26 |year=1999|issue=9|pages=1847–1870 |doi=10.1118/1.598691|pmid=10505874 |bibcode=1999MedPh..26.1847A|last1=Almond |first1=Peter R. |last2=Biggs |first2=Peter J. |last3=Coursey |first3=B. M. |last4=Hanson |first4=W. F. |last5=Huq |first5=M. Saiful |last6=Nath |first6=Ravinder |last7=Rogers |first7=D. W. O. |s2cid=12687636 |doi-access=free }}</ref>

|-
|{{convert|25|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| ||&nbsp;|SATP,<ref name=CRC>"CRC Handbook of Chemistry and Physics", Definition of Ambient, Chapter 1-26, 95th Edition, William M. Haynes, ed., CRC Press, Boca Raton, FL, 2014.</ref> EPA<ref name=NAAQS>"National Primary and Secondary Ambient Air Quality Standards", 40 CFR—Protection of the Environment, Chapter I, Part 50, Section 50.3, 1998.</ref>

|-
|{{convert|20|C|F|disp=tablecen|sortable=on}}||{{convert|100.000|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| style="text-align:center;" |0||]<ref name=CAGI>{{cite web |title=Glossary |year=2002 |publisher=Compressed Air and Gas Institute |location=Cleveland, OH, US |url=http://www.cagi.org/toolbox/glossary.htm |archive-url=https://web.archive.org/web/20070902020158/http://www.cagi.org/toolbox/glossary.htm |url-status=dead |archive-date=2007-09-02}}</ref>

|-
|{{convert|15|C|F|disp=tablecen|sortable=on}}||{{convert|100.000|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| ||&nbsp;|]<ref name=SPE>{{cite web |url=https://www.spe.org/authors/docs/metric_standard.pdf |title=The SI Metric System of Units and SPE Metric Standard (1982) |at=Standard Temperature (Page 24), and Notes for Table 2.3, (on PDF page 25 of 42 PDF pages), define two different sets of reference conditions, one for the standard cubic foot and one for the standard cubic meter |publisher=Society of Petroleum Engineers}}</ref>

|-
|{{convert|20|C|F|disp=tablecen|sortable=on}}||{{convert|101.3|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| style="text-align:center;" |50|| ISO 5011<ref name=ISO5011>{{cite book |title=Air Intake Filters (ISO 5011:2002) |year=2002 |publisher=International Organization for Standardization |location=Geneva, Switzerland |url=http://www.iso.org/iso/en/prods-services/ISOstore/store.html}}</ref>

|-
|{{convert|20|C|F|disp=tablecen|sortable=on}}||{{convert|760.0|mmHg|kPa|disp=tablecen|sortable=on|order=flip}}|| style="text-align:center;"|{{convert|760.0|mmHg|psi|disp=number|sortable=on}}|| style="text-align:center;"|{{convert|760.0|mmHg|inHg|disp=number|sortable=on}}
| style="text-align:center;" |0||] 2939-63

|-
|{{convert|60|F|C|2|disp=tablecen|sortable=on|order=flip}}||{{convert|14.696|psi|kPa mmHg|disp=tablecen|sortable=on|order=flip}}|| style="text-align:center;"|{{convert|14.696|psi|inHg|disp=number|sortable=on}}
| ||SPE,<ref name=SPE/> U.S. ],<ref name=OSHA>"Storage and Handling of Liquefied Petroleum Gases" and "Storage and Handling of Anhydrous Ammonia", 29 CFR—Labor, Chapter XVII—Occupational Safety and Health Administration, Part 1910, Sect. 1910.110 and 1910.111, 1993 &nbsp;.</ref> ]<ref name=SCAQMD>"Rule 102, Definition of Terms (Standard Conditions)", Amended December 2004, South Coast Air Quality Management District, Los Angeles, California, US &nbsp;</ref>

|-
|{{convert|60|F|C|2|disp=tablecen|sortable=on|order=flip}}||{{convert|14.73|psi|kPa mmHg|disp=tablecen|sortable=on|order=flip}}|| style="text-align:center;"|{{convert|14.73|psi|inHg|disp=number|sortable=on}}
| ||EGIA (Imperial System Definition)<ref name=EGIA/>

|-
|{{convert|60|F|C|2|disp=tablecen|sortable=on|order=flip}}||{{convert|14.7|psi|kPa mmHg|2|disp=tablecen|sortable=on|order=flip}}|| style="text-align:center;"|{{convert|14.7|psi|inHg|2|disp=number|sortable=on}}
| ||&nbsp;|U.S. DOT (SCF)<ref name=USDOT>{{cite web|url=https://www.ecfr.gov/cgi-bin/text-idx?SID=4cb9c4fbd569caade0b61e28dec528f2&mc=true&node=se49.2.171_18&rgn=div8 |title=49 C.F.R. § 171 |access-date=22 May 2018}}</ref>

|-
|{{convert|59|F|C|disp=tablecen|sortable=on|order=flip}}||{{convert|14.503|psi|kPa mmHg|disp=tablecen|sortable=on|order=flip}}|| style="text-align:center;"|{{convert|14.503|psi|inHg|disp=number|sortable=on}}
| style="text-align:center;" |78|||U.S. Army Standard Metro<ref name=ArmyStdMetro>{{cite book |chapter-url=http://www.exteriorballistics.com/ebexplained/5th/31.cfm |title=Rifle and Handgun Reloading Manual |edition=5 |chapter=Chapter 3&nbsp;– Effects of Altitude and Atmospheric Conditions (Exterior Ballistics Section) |author=Sierra Bullets |location=Sedalia, MO, US |access-date=2006-02-03 |archive-date=2006-03-09 |archive-url=https://web.archive.org/web/20060309023230/http://www.exteriorballistics.com/ebexplained/5th/31.cfm |url-status=dead }}</ref>{{efn|The pressure is specified as 750 ]. However, the ] is temperature-dependent, since mercury expands as temperature goes up. Here the values for the 0–20&nbsp;°C range are given.}}

|-
|{{convert|59|F|C|disp=tablecen|sortable=on|order=flip}}||{{convert|14.696|psi|kPa mmHg|disp=tablecen|sortable=on|order=flip}}|| style="text-align:center;"|{{convert|14.696|psi|inHg|disp=number|sortable=on}}
| style="text-align:center;" |60||ISO 2314,<ref name=ISO2314>{{cite book |title=Gas turbines&nbsp;– Acceptance tests (ISO 2314:2009) |year=2009 |edition=2 |publisher=International Organization for Standardization |location=Geneva, Switzerland |url=https://www.iso.org/standard/42989.html}}</ref> ISO 3977-2,<ref name=ISO3977-2>{{cite book |title=Gas turbines&nbsp;– Procurement&nbsp;– Part 2: Standard reference conditions and ratings (ISO 3977-2:1997) |year=1997 |publisher=International Organization for Standardization |location=Geneva, Switzerland |url=https://www.iso.org/standard/24755.html}}</ref> ASHRAE Fundamentals Handbook<ref>{{Cite web |title=ASHRAE Handbook Online |url=https://www.ashrae.org/technical-resources/ashrae-handbook/ashrae-handbook-online |access-date=2023-08-09 |website=www.ashrae.org}}</ref>

|-
|{{convert|70|F|C|2|disp=tablecen|sortable=on|order=flip}}||{{convert|29.92|inHg|kPa mmHg psi|disp=tablecen|sortable=on|order=flip}}
| style="text-align:center;" |0||],<ref name=AMCA>ANSI/AMCA Standard 210, "Laboratory Methods Of Testing Fans for Aerodynamic Performance Rating", as implied by when accessed on October 17, 2007.</ref>{{efn|The standard is given as 29.92 ] at an unspecified temperature. This most likely corresponds to a standard pressure of 101.325 kPa, converted into ~29.921 inHg at {{convert|32|F|C}}.}} air density = 0.075 lbm/ft<sup>3</sup>.<ref>This AMCA standard applies only to air; Compressed Gas Association applies to industrial gas use in US.</ref><ref>{{cite book|title=Compressed Gas Handbook|url=https://books.google.com/books?id=5EfhBwAAQBAJ&q=%22compressed+gas+association%22+handbook+fifth+edition|access-date=22 Nov 2017|isbn = 9781461306733|last1 = Association|first1 = Compressed Gas|date = 2012-12-06| publisher=Springer }}</ref>

|-
|{{convert|59|F|C|disp=tablecen|sortable=on|order=flip}}||{{convert|29.92|inHg|kPa mmHg psi|disp=tablecen|sortable=on|order=flip}}
| ||]<ref name=FAA>{{cite book|year=2016|title=Pilot's Handbook of Aeronautical Knowledge|url=https://www.faa.gov/sites/faa.gov/files/2022-03/pilot_handbook.pdf|publisher=U.S. Department of Transportation Federal Aviation Administration|page=4{{hyphen}}3}}</ref>

|-
|{{convert|20|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| |
| 0 | EN 14511-1:2013<ref name=EN14511-1:2013>{{cite book |title=Air Conditioners, liquid chilling packages and heat pumps with electrically driven compressors for space heating and cooling |year=2013 |publisher=BSI EN|location=UK|url=https://shop.bsigroup.com/ProductDetail/?pid=000000000030271396}}</ref>

|-
|{{convert|15|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| style="text-align:center;" |0||ISO 2533:1975<ref name=ISO2533:1975>{{cite book |title=Standard Atmosphere|year=1975|publisher=International Organization for Standardization|location=Geneva, Switzerland|url=https://www.iso.org/standard/7472.html}}</ref> ISO 13443:2005,<ref name=ISO13443:1996>{{cite book |title=Natural gas - Standard reference conditions|year=1996|publisher=International Organization for Standardization|location=Geneva, Switzerland|url=https://www.iso.org/standard/20461.html}}</ref> ISO 7504:2015<ref name=ISO7504:2015>{{cite book |title=Gas analysis - Vocabulary|year=2015|publisher=International Organization for Standardization|location=Geneva, Switzerland|url=https://www.iso.org/standard/53596.html}}</ref>

|-
|{{convert|0|C|F|disp=tablecen|sortable=on}}||{{convert|101.325|kPa|mmHg psi inHg|disp=tablecen|sortable=on}}
| style="text-align:center;" |0||DIN 1343:1990<ref name=DIN1343:1990>{{cite book |title=Referenzzustand, Normzustand, Normvolumen; Begriffe und Werte|year=1990|publisher=Deutsches Institut für Normung|location=Germany|url=https://www.din.de/en/getting-involved/standards-committees/natg/standards/wdc-beuth:din21:1505240
}}</ref>
|}

Abbreviations:
* EGIA: Electricity and Gas Inspection Act (of Canada)
* SATP: Standard Ambient Temperature and Pressure
* SCF: Standard Cubic Foot

==International Standard Atmosphere==
In ] and ] the "]" (ISA) is a specification of pressure, temperature, density, and speed of sound at each altitude. At ] it specifies a temperature of {{convert|15|C|F}}, pressure of {{convert|101325|Pa|psi}} (1 ]), and a density of {{convert|1.2250|kg/m3|lb/ft3|sp=us}}. It also specifies a temperature ] of −6.5&nbsp;°C (−11.7&nbsp;°F) per km (approximately −2&nbsp;°C (−3.6&nbsp;°F) per 1,000&nbsp;ft).<ref name="aeromech.usyd.edu.au">{{Cite web | last1 = Auld | first1 = D.J. | last2 = Srinivas | first2 = K. | title = Properties of the Atmosphere | date = 2008 | url = http://www.aeromech.usyd.edu.au/aero/atmosphere/ | access-date = 2008-03-13 | archive-url = https://web.archive.org/web/20130609091708/http://www.aeromech.usyd.edu.au/aero/atmosphere/ | archive-date = 2013-06-09 | url-status = dead }}</ref><ref name="Batchelor 1967">Batchelor, G. K., ''An Introduction to Fluid Dynamics'', Cambridge Univ. Press, 1967.</ref>

The International Standard Atmosphere is representative of atmospheric conditions at mid latitudes. In the US this information is specified the ] which is identical to the "International Standard Atmosphere" at all altitudes up to 65,000 feet above sea level.{{citation needed|date=May 2012}}

==Standard laboratory conditions==
Because many definitions of standard temperature and pressure differ in temperature significantly from standard laboratory temperatures (e.g. 0&nbsp;°C vs. ~28&nbsp;°C), reference is often made to "standard laboratory conditions" (a term deliberately chosen to be different from the term "standard conditions for temperature and pressure", despite its semantic near identity when interpreted literally). However, what is a "standard" ] temperature and pressure is inevitably geography-bound, given that different parts of the world differ in climate, altitude and the degree of use of heat/cooling in the workplace. For example, schools in ], ] use 25&nbsp;°C at 100&nbsp;kPa for standard laboratory conditions.<ref>{{cite book|author=Peter Gribbon|title=Excel HSC Chemistry Pocket Book Years 11–12|publisher=Pascal Press|year=2001|isbn=978-1-74020-303-6}}</ref>
] has published ] ASTM E41- Terminology Relating to Conditioning and hundreds of special conditions for particular materials and ]s. Other ]s also have specialized standard test conditions.{{cn|date=May 2023}}

==Molar volume of a gas==
{{see also|Standard cubic feet|Oil barrel}}

It is as important to indicate the applicable reference conditions of temperature and pressure when stating the ] of a gas<ref>{{cite web |url=http://physics.nist.gov/cgi-bin/cuu/Results?search_for=volume+molar |title=Fundamental Physical Properties: Molar Volumes (CODATA values for ideal gases) |publisher=]}}</ref> as it is when expressing a gas volume or volumetric flow rate. Stating the molar volume of a gas without indicating the reference conditions of temperature and pressure has very little meaning and can cause confusion.

The molar volume of gases around STP and at atmospheric pressure can be calculated with an accuracy that is usually sufficient by using the ]. The molar volume of any ideal gas may be calculated at various standard reference conditions as shown below:
* ''V''<sub>m</sub> = 8.3145 × 273.15 / 101.325 = 22.414&nbsp;]<sup>3</sup>/mol at 0&nbsp;°C and 101.325&nbsp;kPa
* ''V''<sub>m</sub> = 8.3145 × 273.15 / 100.000 = 22.711&nbsp;dm<sup>3</sup>/mol at 0&nbsp;°C and 100&nbsp;kPa
* ''V''<sub>m</sub> = 8.3145 × 288.15 / 101.325 = 23.645&nbsp;dm<sup>3</sup>/mol at 15&nbsp;°C and 101.325&nbsp;kPa
* ''V''<sub>m</sub> = 8.3145 × 298.15 / 101.325 = 24.466&nbsp;dm<sup>3</sup>/mol at 25&nbsp;°C and 101.325&nbsp;kPa
* ''V''<sub>m</sub> = 8.3145 × 298.15 / 100.000 = 24.790&nbsp;dm<sup>3</sup>/mol at 25&nbsp;°C and 100&nbsp;kPa
* ''V''<sub>m</sub> = 10.7316 × 519.67 / 14.696 = 379.48&nbsp;ft<sup>3</sup>/lbmol at 60&nbsp;°F and 14.696&nbsp;psi (or about 0.8366&nbsp;ft<sup>3</sup>/gram mole)
* ''V''<sub>m</sub> = 10.7316 × 519.67 / 14.730 = 378.61&nbsp;ft<sup>3</sup>/lbmol at 60&nbsp;°F and 14.73&nbsp;psi

Technical literature can be confusing because many authors fail to explain whether they are using the ] ''R'', or the specific gas constant ''R''<sub>s</sub>. The relationship between the two constants is ''R''<sub>s</sub> = ''R'' / ''m'', where ''m'' is the ] of the gas.

The ] (USSA) uses 8.31432&nbsp;m<sup>3</sup>·Pa/(mol·K) as the value of ''R''. However, the USSA in 1976 does recognize that this value is not consistent with the values of the ] and the ].<ref name="USSA1976">, U.S. Government Printing Office, Washington, D.C., 1976.</ref>

==See also==
* ]
* ]&nbsp;– standard reference temperature for geometric product specifications
* ]
* ]
* ]
* ]

== Explanatory notes ==
{{notelist}}

==References==
{{Reflist}}

==External links==
* from the ] ''Gold Book''.
* from the ] ''Gold Book''.
* from the ] ''Gold Book''.
* from the ] ''Gold Book''.

]
]
]
]
]
]
]
]

Latest revision as of 13:50, 22 December 2024

Reference values for temperature and pressure Not to be confused with Standard sea-level conditions. For the conditions used in thermodynamic evaluations, see Standard state.

Standard temperature and pressure (STP) or standard conditions for temperature and pressure are various standard sets of conditions for experimental measurements used to allow comparisons to be made between different sets of data. The most used standards are those of the International Union of Pure and Applied Chemistry (IUPAC) and the National Institute of Standards and Technology (NIST), although these are not universally accepted. Other organizations have established a variety of other definitions.

In industry and commerce, the standard conditions for temperature and pressure are often necessary for expressing the volumes of gases and liquids and related quantities such as the rate of volumetric flow (the volumes of gases vary significantly with temperature and pressure): standard cubic meters per second (Sm/s), and normal cubic meters per second (Nm/s).

Many technical publications (books, journals, advertisements for equipment and machinery) simply state "standard conditions" without specifying them; often substituting the term with older "normal conditions", or "NC". In special cases this can lead to confusion and errors. Good practice always incorporates the reference conditions of temperature and pressure. If not stated, some room environment conditions are supposed, close to 1 atm pressure, 273.15 K (0 °C), and 0% humidity.

Definitions

In chemistry, IUPAC changed its definition of standard temperature and pressure in 1982:

NIST uses a temperature of 20 °C (293.15 K, 68 °F) and an absolute pressure of 1 atm (14.696 psi, 101.325 kPa). This standard is also called normal temperature and pressure (abbreviated as NTP). However, a common temperature and pressure in use by NIST for thermodynamic experiments is 298.15 K (25 °C, 77 °F) and 1 bar (14.5038 psi, 100 kPa). NIST also uses 15 °C (288.15 K, 59 °F) for the temperature compensation of refined petroleum products, despite noting that these two values are not exactly consistent with each other.

The ISO 13443 standard reference conditions for natural gas and similar fluids are 288.15 K (15.00 °C; 59.00 °F) and 101.325 kPa; by contrast, the American Petroleum Institute adopts 60 °F (15.56 °C; 288.71 K).

Past uses

Before 1918, many professionals and scientists using the metric system of units defined the standard reference conditions of temperature and pressure for expressing gas volumes as being 15 °C (288.15 K; 59.00 °F) and 101.325 kPa (1.00 atm; 760 Torr). During those same years, the most commonly used standard reference conditions for people using the imperial or U.S. customary systems was 60 °F (15.56 °C; 288.71 K) and 14.696 psi (1 atm) because it was almost universally used by the oil and gas industries worldwide. The above definitions are no longer the most commonly used in either system of units.

Current use

Many different definitions of standard reference conditions are currently being used by organizations all over the world. The table below lists a few of them, but there are more. Some of these organizations used other standards in the past. For example, IUPAC has, since 1982, defined standard reference conditions as being 0 °C and 100 kPa (1 bar), in contrast to its old standard of 0 °C and 101.325 kPa (1 atm). The new value is the mean atmospheric pressure at an altitude of about 112 metres, which is closer to the worldwide median altitude of human habitation (194 m).

Natural gas companies in Europe, Australia, and South America have adopted 15 °C (59 °F) and 101.325 kPa (14.696 psi) as their standard gas volume reference conditions, used as the base values for defining the standard cubic meter. Also, the International Organization for Standardization (ISO), the United States Environmental Protection Agency (EPA) and National Institute of Standards and Technology (NIST) each have more than one definition of standard reference conditions in their various standards and regulations.

Standard reference conditions in current use
Temperature Pressure Humidity Publishing or establishing entity
°C °F kPa mmHg psi inHg %
 
0 32 100.000 750.06 14.5038 29.530 IUPAC (STP) since 1982
0 32 101.325 760.00 14.6959 29.921 NIST, ISO 10780, formerly IUPAC (STP) until 1982
15 59 101.325 760.00 14.6959 29.921 0 ICAO's ISA, ISO 13443, EEA, EGIA (SI Definition) Density 1.225 kg/m³
20 68 101.325 760.00 14.6959 29.921 EPA, NIST.
22 71.6 101.325 760.00 14.6959 29.921 20–80 American Association of Physicists in Medicine
25 77 101.325 760.00 14.6959 29.921 SATP, EPA
20 68 100.000 750.06 14.5038 29.530 0 CAGI
15 59 100.000 750.06 14.5038 29.530 SPE
20 68 101.3 760 14.69 29.9 50 ISO 5011
20 68 101.33 760.0 14.696 29.92 0 GOST 2939-63
15.56 60 101.33 760.0 14.696 29.92 SPE, U.S. OSHA, SCAQMD
15.56 60 101.6 762 14.73 30.0 EGIA (Imperial System Definition)
15.56 60 101.35 760.21 14.7 29.93 U.S. DOT (SCF)
15 59 99.99 750.0 14.503 29.53 78 U.S. Army Standard Metro
15 59 101.33 760.0 14.696 29.92 60 ISO 2314, ISO 3977-2, ASHRAE Fundamentals Handbook
21.11 70 101.3 760 14.70 29.92 0 AMCA, air density = 0.075 lbm/ft.
15 59 101.3 760 14.70 29.92 FAA
20 68 101.325 760.00 14.6959 29.921 EN 14511-1:2013
15 59 101.325 760.00 14.6959 29.921 0 ISO 2533:1975 ISO 13443:2005, ISO 7504:2015
0 32 101.325 760.00 14.6959 29.921 0 DIN 1343:1990

Abbreviations:

  • EGIA: Electricity and Gas Inspection Act (of Canada)
  • SATP: Standard Ambient Temperature and Pressure
  • SCF: Standard Cubic Foot

International Standard Atmosphere

In aeronautics and fluid dynamics the "International Standard Atmosphere" (ISA) is a specification of pressure, temperature, density, and speed of sound at each altitude. At standard mean sea level it specifies a temperature of 15 °C (59 °F), pressure of 101,325 pascals (14.6959 psi) (1 atm), and a density of 1.2250 kilograms per cubic meter (0.07647 lb/cu ft). It also specifies a temperature lapse rate of −6.5 °C (−11.7 °F) per km (approximately −2 °C (−3.6 °F) per 1,000 ft).

The International Standard Atmosphere is representative of atmospheric conditions at mid latitudes. In the US this information is specified the U.S. Standard Atmosphere which is identical to the "International Standard Atmosphere" at all altitudes up to 65,000 feet above sea level.

Standard laboratory conditions

Because many definitions of standard temperature and pressure differ in temperature significantly from standard laboratory temperatures (e.g. 0 °C vs. ~28 °C), reference is often made to "standard laboratory conditions" (a term deliberately chosen to be different from the term "standard conditions for temperature and pressure", despite its semantic near identity when interpreted literally). However, what is a "standard" laboratory temperature and pressure is inevitably geography-bound, given that different parts of the world differ in climate, altitude and the degree of use of heat/cooling in the workplace. For example, schools in New South Wales, Australia use 25 °C at 100 kPa for standard laboratory conditions. ASTM International has published Standard ASTM E41- Terminology Relating to Conditioning and hundreds of special conditions for particular materials and test methods. Other standards organizations also have specialized standard test conditions.

Molar volume of a gas

See also: Standard cubic feet and Oil barrel

It is as important to indicate the applicable reference conditions of temperature and pressure when stating the molar volume of a gas as it is when expressing a gas volume or volumetric flow rate. Stating the molar volume of a gas without indicating the reference conditions of temperature and pressure has very little meaning and can cause confusion.

The molar volume of gases around STP and at atmospheric pressure can be calculated with an accuracy that is usually sufficient by using the ideal gas law. The molar volume of any ideal gas may be calculated at various standard reference conditions as shown below:

  • Vm = 8.3145 × 273.15 / 101.325 = 22.414 dm/mol at 0 °C and 101.325 kPa
  • Vm = 8.3145 × 273.15 / 100.000 = 22.711 dm/mol at 0 °C and 100 kPa
  • Vm = 8.3145 × 288.15 / 101.325 = 23.645 dm/mol at 15 °C and 101.325 kPa
  • Vm = 8.3145 × 298.15 / 101.325 = 24.466 dm/mol at 25 °C and 101.325 kPa
  • Vm = 8.3145 × 298.15 / 100.000 = 24.790 dm/mol at 25 °C and 100 kPa
  • Vm = 10.7316 × 519.67 / 14.696 = 379.48 ft/lbmol at 60 °F and 14.696 psi (or about 0.8366 ft/gram mole)
  • Vm = 10.7316 × 519.67 / 14.730 = 378.61 ft/lbmol at 60 °F and 14.73 psi

Technical literature can be confusing because many authors fail to explain whether they are using the ideal gas constant R, or the specific gas constant Rs. The relationship between the two constants is Rs = R / m, where m is the molecular mass of the gas.

The US Standard Atmosphere (USSA) uses 8.31432 m·Pa/(mol·K) as the value of R. However, the USSA in 1976 does recognize that this value is not consistent with the values of the Avogadro constant and the Boltzmann constant.

See also

Explanatory notes

  1. The pressure is specified as 750 mmHg. However, the mmHg is temperature-dependent, since mercury expands as temperature goes up. Here the values for the 0–20 °C range are given.
  2. The standard is given as 29.92 inHg at an unspecified temperature. This most likely corresponds to a standard pressure of 101.325 kPa, converted into ~29.921 inHg at 32 °F (0 °C).

References

  1. ^ A. D. McNaught and A. Wilkinson (1997). Nič, Miloslav; Jirát, Jiří; Košata, Bedřich; Jenkins, Aubrey; McNaught, Alan (eds.). IUPAC. Compendium of Chemical Terminology (PDF) (2nd ed.). Oxford: Blackwell Scientific Publications. p. 54. doi:10.1351/goldbook. ISBN 0-632-03583-8. Standard conditions for gases: ... and pressure of 10 pascals. The previous standard absolute pressure of 1 atm (equivalent to 101.325 kPa) was changed to 100 kPa in 1982. IUPAC recommends that the former pressure should be discontinued.
  2. ^ A. D. McNaught and A. Wilkinson (1997). "standard pressure". IUPAC. Compendium of Chemical Terminology (2nd ed.). Oxford: Blackwell Scientific Publications. doi:10.1351/goldbook.S05921. ISBN 978-0-9678550-9-7.
  3. Doiron, Theodore D. (January 2007). "20 Degrees Celsius--A Short History of the Standard Reference Temperature for Industrial Dimensional Measurements". NIST. 112 (1): 1–23. doi:10.6028/jres.112.001. PMC 4654601. PMID 27110451.
  4. Helrich, Carl S. (2008-11-14). Modern Thermodynamics with Statistical Mechanics. Springer Science & Business Media. ISBN 978-3-540-85418-0.
  5. "A Guide to the NIST Chemistry WebBook". webbook.nist.gov. Retrieved 2020-10-06.
  6. "Specifications, Tolerances, and Other Technical Requirements for Weighing and Measuring Devices" (PDF). p. 3-1.
  7. ^ Natural gas – Standard reference conditions (ISO 13443). Geneva, Switzerland: International Organization for Standardization. 1996.
  8. API Petroleum Measurement
  9. Doiron, Ted (Jan–Feb 2007). "20 °C – A Short History of the Standard Reference Temperature for Industrial Dimensional Measurements". Journal of Research of the National Institute of Standards and Technology. 112 (1): 1–23. doi:10.6028/jres.112.001. PMC 4654601. PMID 27110451.
  10. Cohen, Joel E.; Small, Christopher (November 24, 1998). "Hypsographic demography: The distribution of human population by altitude". Proceedings of the National Academy of Sciences. 95 (24): 14009–14014. Bibcode:1998PNAS...9514009C. doi:10.1073/pnas.95.24.14009. PMC 24316. PMID 9826643.
  11. Gassco. "Concepts – Standard cubic meter (scm)". Archived from the original on October 18, 2007. Retrieved 2008-07-25. Scm: The usual abbreviation for standard cubic metre – a cubic metre of gas under a standard condition, defined as an atmospheric pressure of 1.01325 bar and a temperature of 15°C. This unit provides a measure for gas volume.
  12. Nord Stream (October 2007). "Status of the Nord Stream pipeline route in the Baltic Sea" (PDF). Archived from the original (PDF) on 2008-02-16. Retrieved 2008-07-25. bcm: Billion Cubic Meter (standard cubic metre – a cubic metre of gas under a standard condition, defined as an atmospheric pressure of 1 atm and a temperature of 15 °C.)
  13. Metrogas (June 2004). "Natural gas purchase and sale agreement". Retrieved 2008-07-25. Natural gas at standard condition shall mean the quantity of natural gas, which at a temperature of fifteen (15) Celsius degrees and a pressure of 101.325 kilopascals occupies the volume of one (1) cubic meter.
  14. NIST (1989). "NIST Standard Reference Database 124 – Stopping-Power and Range Tables for Electrons, Protons, and Helium Ions". Archived from the original on October 6, 2010. Retrieved 2008-07-25. If you want the program to treat the material as an ideal gas, the density will be assumed given by M/V, where M is the gram molecular weight of the gas and V is the mol volume of 22414 cm at standard conditions (0 deg C and 1 atm).
  15. ISO (1994). "ISO 10780:1994 : Stationary source emissions – Measurement of velocity and volume flowrate of gas streams in ducts".
  16. Robert C. Weast, ed. (1975). Handbook of Physics and Chemistry (56th ed.). CRC Press. pp. F201 – F206. ISBN 978-0-87819-455-1.
  17. Extraction, First Treatment and Loading of Liquid & Gaseous Fossil Fuels (Emission Inventory Guidebook B521, Activities 050201 – 050303) (PDF). Copenhagen, Denmark: European Environmental Agency. September 1999.
  18. ^ "Electricity and Gas Inspection Act", SOR/86-131 (defines a set of standard conditions for Imperial units and a different set for metric units)  Canadian Laws.
  19. "Standards of Performance for New Sources", 40 CFR—Protection of the Environment, Chapter I, Part 60, Section 60.2, 1990.
  20. Wright, J. D.; Johnson, A. N.; Moldover, M. R. (2003). "Design and Uncertainty for a PVTt Gas Flow Standard" (PDF). Journal of Research of the National Institute of Standards and Technology. 108 (1): 21–47. doi:10.6028/jres.108.004. PMC 4844527. PMID 27413592. Archived from the original (PDF) on 2004-07-21.
  21. (Also called NTP, Normal Temperature and Pressure.)
  22. "What is the difference between STP and NTP?". Socratic. Archived from the original on 2015-11-27. Retrieved 2018-08-28.
  23. Almond, Peter R.; Biggs, Peter J.; Coursey, B. M.; Hanson, W. F.; Huq, M. Saiful; Nath, Ravinder; Rogers, D. W. O. (1999). "AAPM's TG-51 protocol for clinical reference dosimetry of high-energy photon and electron beams". Medical Physics. 26 (9): 1847–1870. Bibcode:1999MedPh..26.1847A. doi:10.1118/1.598691. PMID 10505874. S2CID 12687636.
  24. "CRC Handbook of Chemistry and Physics", Definition of Ambient, Chapter 1-26, 95th Edition, William M. Haynes, ed., CRC Press, Boca Raton, FL, 2014.
  25. "National Primary and Secondary Ambient Air Quality Standards", 40 CFR—Protection of the Environment, Chapter I, Part 50, Section 50.3, 1998.
  26. "Glossary". Cleveland, OH, US: Compressed Air and Gas Institute. 2002. Archived from the original on 2007-09-02.
  27. ^ "The SI Metric System of Units and SPE Metric Standard (1982)" (PDF). Society of Petroleum Engineers. Standard Temperature (Page 24), and Notes for Table 2.3, (on PDF page 25 of 42 PDF pages), define two different sets of reference conditions, one for the standard cubic foot and one for the standard cubic meter.
  28. Air Intake Filters (ISO 5011:2002). Geneva, Switzerland: International Organization for Standardization. 2002.
  29. "Storage and Handling of Liquefied Petroleum Gases" and "Storage and Handling of Anhydrous Ammonia", 29 CFR—Labor, Chapter XVII—Occupational Safety and Health Administration, Part 1910, Sect. 1910.110 and 1910.111, 1993  Storage/Handling of LPG.
  30. "Rule 102, Definition of Terms (Standard Conditions)", Amended December 2004, South Coast Air Quality Management District, Los Angeles, California, US  SCAQMD Rule 102
  31. "49 C.F.R. § 171". Retrieved 22 May 2018.
  32. Sierra Bullets. "Chapter 3 – Effects of Altitude and Atmospheric Conditions (Exterior Ballistics Section)". Rifle and Handgun Reloading Manual (5 ed.). Sedalia, MO, US. Archived from the original on 2006-03-09. Retrieved 2006-02-03.
  33. Gas turbines – Acceptance tests (ISO 2314:2009) (2 ed.). Geneva, Switzerland: International Organization for Standardization. 2009.
  34. Gas turbines – Procurement – Part 2: Standard reference conditions and ratings (ISO 3977-2:1997). Geneva, Switzerland: International Organization for Standardization. 1997.
  35. "ASHRAE Handbook Online". www.ashrae.org. Retrieved 2023-08-09.
  36. ANSI/AMCA Standard 210, "Laboratory Methods Of Testing Fans for Aerodynamic Performance Rating", as implied by http://www.greenheck.com/pdf/centrifugal/Plug.pdf when accessed on October 17, 2007.
  37. This AMCA standard applies only to air; Compressed Gas Association applies to industrial gas use in US.
  38. Association, Compressed Gas (2012-12-06). Compressed Gas Handbook. Springer. ISBN 9781461306733. Retrieved 22 Nov 2017.
  39. Pilot's Handbook of Aeronautical Knowledge (PDF). U.S. Department of Transportation Federal Aviation Administration. 2016. p. 4-3.
  40. Air Conditioners, liquid chilling packages and heat pumps with electrically driven compressors for space heating and cooling. UK: BSI EN. 2013.
  41. Standard Atmosphere. Geneva, Switzerland: International Organization for Standardization. 1975.
  42. Natural gas - Standard reference conditions. Geneva, Switzerland: International Organization for Standardization. 1996.
  43. Gas analysis - Vocabulary. Geneva, Switzerland: International Organization for Standardization. 2015.
  44. Referenzzustand, Normzustand, Normvolumen; Begriffe und Werte. Germany: Deutsches Institut für Normung. 1990.
  45. Auld, D.J.; Srinivas, K. (2008). "Properties of the Atmosphere". Archived from the original on 2013-06-09. Retrieved 2008-03-13.
  46. Batchelor, G. K., An Introduction to Fluid Dynamics, Cambridge Univ. Press, 1967.
  47. Peter Gribbon (2001). Excel HSC Chemistry Pocket Book Years 11–12. Pascal Press. ISBN 978-1-74020-303-6.
  48. "Fundamental Physical Properties: Molar Volumes (CODATA values for ideal gases)". NIST.
  49. U.S. Standard Atmosphere, 1976, U.S. Government Printing Office, Washington, D.C., 1976.

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