Molar gas constant: Difference between revisions
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imported>Milton Beychok m (Added a table of R values in various units) |
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{| class="wikitable" style="float: right;" | |||
! Values of ''R'' | |||
! Units | |||
|- | |||
| 8.314472 | |||
| [[Joule|J]]·[[Kelvin|K]]<sup>-1</sup>·[[Mole (unit)|mol]]<sup>-1</sup> | |||
|- | |||
| 0.082057 | |||
| [[Liter|L]]·[[atmosphere (unit)|atm]]·K<sup>-1</sup>·mol<sup>-1</sup> | |||
|- | |||
| 8.205745 × 10<sup>-5</sup> | |||
| [[Metre)|m]]<sup>3</sup>·atm·K<sup>-1</sup>·mol<sup>-1</sup> | |||
|- | |||
| 8.314472 | |||
| L·k[[Pascal (unit)|Pa]]·K<sup>-1</sup>·mol<sup>-1</sup> | |||
|- | |||
| 8.314472 | |||
| m<sup>3</sup>·Pa·K<sup>-1</sup>·mol<sup>-1</sup> | |||
|- | |||
| 62.36367 | |||
| L·[[mmHg]]·K<sup>-1</sup>·mol<sup>-1</sup> | |||
|- | |||
| 83.14472 | |||
| L·m[[Bar (unit)|bar]]·K<sup>-1</sup>·mol<sup>-1</sup> | |||
|- | |||
| 10.7316 | |||
| [[Foot (unit)|ft]]<sup>3</sup>·[[Psi (unit)|psi]]· [[Rankine scale|°R]]<sup>-1</sup>·[[lb-mol]]<sup>-1</sup> | |||
|- | |||
| 0.7302 | |||
| ft<sup>3</sup>·atm·°R<sup>-1</sup>·lb-mol<sup>-1</sup> | |||
|} | |||
In [[chemistry]], [[chemical engineering]] and [[physics]], the '''molar gas constant''' ''R'' is a fundamental physical constant which appears in a large number of fundamental equations in the physical sciences, such as the [[ideal gas law]] and the [[Nernst equation]]. It is equivalent to the the [[Boltzmann constant]] (''k<sub>B</sub>'') times [[Avogadro's constant]] (''N''): ''R'' = ''k''<sub>B</sub>''N''<sub>A</sub>. | In [[chemistry]], [[chemical engineering]] and [[physics]], the '''molar gas constant''' ''R'' is a fundamental physical constant which appears in a large number of fundamental equations in the physical sciences, such as the [[ideal gas law]] and the [[Nernst equation]]. It is equivalent to the the [[Boltzmann constant]] (''k<sub>B</sub>'') times [[Avogadro's constant]] (''N''): ''R'' = ''k''<sub>B</sub>''N''<sub>A</sub>. | ||
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It has a defining value of:<ref>[http://physics.nist.gov/cgi-bin/cuu/Value?r Molar gas constant] Obtained on 16 December, 2007 from the NIST website</ref> | It has a defining value of:<ref>[http://physics.nist.gov/cgi-bin/cuu/Value?r Molar gas constant] Obtained on 16 December, 2007 from the NIST website</ref> | ||
:'''''R'' = 8.314472 | :'''''R'' = 8.314472 J · K<sup>-1</sup> · mol<sup>-1</sup>''' | ||
The gas constant occurs in the [[ideal gas law]] as follows: | The gas constant occurs in the [[ideal gas law]] as follows: |
Revision as of 00:36, 2 April 2008
Values of R | Units |
---|---|
8.314472 | J·K-1·mol-1 |
0.082057 | L·atm·K-1·mol-1 |
8.205745 × 10-5 | m3·atm·K-1·mol-1 |
8.314472 | L·kPa·K-1·mol-1 |
8.314472 | m3·Pa·K-1·mol-1 |
62.36367 | L·mmHg·K-1·mol-1 |
83.14472 | L·mbar·K-1·mol-1 |
10.7316 | ft3·psi· °R-1·lb-mol-1 |
0.7302 | ft3·atm·°R-1·lb-mol-1 |
In chemistry, chemical engineering and physics, the molar gas constant R is a fundamental physical constant which appears in a large number of fundamental equations in the physical sciences, such as the ideal gas law and the Nernst equation. It is equivalent to the the Boltzmann constant (kB) times Avogadro's constant (N): R = kBNA.
It has a defining value of:[1]
- R = 8.314472 J · K-1 · mol-1
The gas constant occurs in the ideal gas law as follows:
where:
- P is the gas absolute pressure
- T is gas absolute) temperature
- V is the volume the gas occupies
- n is the number of moles of gas
- Vm is the molar volume
Notation for the gas constant
The gas constant defined in this article is the universal gas constant, , that applies to any gas. There is also a specific gas constant, which can be denoted as . The specific gas constant is defined as where is the molecular weight.
Unfortunately, many authors in the technical literature sometimes use as the specific gas constant without denoting it as such or stating that it is the specific gas constant. This can and does lead to confusion for many readers.
Reference
- ↑ Molar gas constant Obtained on 16 December, 2007 from the NIST website