Ideal gas constant: Difference between revisions

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<onlyinclude>The '''ideal gas constant''' is also known as the molar gas constant, the gas constant or the universal gas constant. This constant is written as <math>R</math>, and is a constant of proportionality (constant number that is multiplied on one side of a proportional relationship to make them equal) for the [[ideal gas law]].<ref>"Gas constant," Wikipedia, 2021. [Online]. Available: https://en.wikipedia.org/wiki/Gas_constant. [Accessed: 06-May-2021]</ref> </onlyinclude> The ideal gas law is simply <math>PV=nRT</math> where <math>P</math> is pressure, <math>V</math> is volume, <math>n</math> is the number of [[mole]]s of gas, and <math>R</math> is the ideal gas constant.<ref>"The Ideal Gas Law," Chemistry LibreTexts, 2020. [Online]. Available: https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Supplemental_Modules_(Physical_and_Theoretical_Chemistry)/Physical_Properties_of_Matter/States_of_Matter/Properties_of_Gases/Gas_Laws/The_Ideal_Gas_Law. [Accessed: 06-May-2021]</ref>  
<onlyinclude>The '''ideal gas constant''' is also known as the molar gas constant, the gas constant or the universal gas constant. This constant is written as ''R'', and is a constant of proportionality (constant number that is multiplied on one side of a proportional relationship to make them equal) for the [[ideal gas law]].</onlyinclude> The ideal gas law is simply <m>pV=nRT</m> where <m>p</m> is pressure, <m>V</m> is volume, <m>n</m> is the number of [[mole]]s of gas, <m>R</m> is the ideal gas constant. This constant is closely related to [[Boltzmann's constant]], <m>k_B</m> (to get the ideal gas constant from Boltzmann's constant, multiply by [[Avogadro's number]]: <m>R=N_A k_B </m>).


This constant of proportionality depends on which units are used, some common values are:
This constant of proportionality depends on which units are used for the other variables in the ideal gas law equation. Some common values for <math>R</math> are:
* 8.314 [[Joule|J]] /([[mole]]  [[Kelvin|K]])
* 8.3145 [[Joule|J]] /([[mole|mol]] [[Kelvin|K]])
* 0.082057 [[Litre|L]] [[atm]]/ (mole K)
* 8.3145 ([[Cubic meter|m<sup>3</sup>]] [[Pascal|Pa]]) / ([[mole|mol]] [[Kelvin|K]])
* 0.082057 [[Litre|L]] [[atm]]/ ([[mole|mol]] [[Kelvin|K]])


For more on the ideal gas constant please see [http://chemwiki.ucdavis.edu/Physical_Chemistry/Physical_Properties_of_Matter/Phases_of_Matter/Gases/Virtual%3A_Gas_Laws/Ideal_Gas_Law_and_the_Gas_Constant UC Davis's chem wiki].
 
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This constant is closely related to [[Boltzmann's constant]], <math>k_B</math> (to get the ideal gas constant from Boltzmann's constant, multiply by [[Avogadro's number]]: <math>R=N_A k_B </math>).
 
==Further Reading==
*[[Molecule]] and [[Avogadro's number]]
*[[Boltzmann's constant]]
*[[Ideal gas law]]
*[[Pressure volume diagram]]
*Or explore a [[Special:Random|random page]]
 
==References==
{{reflist}}

Revision as of 18:04, 26 May 2021

The ideal gas constant is also known as the molar gas constant, the gas constant or the universal gas constant. This constant is written as [math]R[/math], and is a constant of proportionality (constant number that is multiplied on one side of a proportional relationship to make them equal) for the ideal gas law.[1] The ideal gas law is simply [math]PV=nRT[/math] where [math]P[/math] is pressure, [math]V[/math] is volume, [math]n[/math] is the number of moles of gas, and [math]R[/math] is the ideal gas constant.[2]

This constant of proportionality depends on which units are used for the other variables in the ideal gas law equation. Some common values for [math]R[/math] are:


This constant is closely related to Boltzmann's constant, [math]k_B[/math] (to get the ideal gas constant from Boltzmann's constant, multiply by Avogadro's number: [math]R=N_A k_B [/math]).

Further Reading

References