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Boltzmann Constant

479 bytes added, 13:46, 22 May 2024
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==Key Stage 5==
===Meaning===
The [[Boltzmann Constant|Boltzmann constant]] is the molar [[Molar Gas Constant|molar gasconstant]] constant divided by the [[Avogadro Constant|Avogadro constant]].
===About the Boltzmann Constant===
Denoted as *The [[Boltzmann Constant|Boltzmann constant]] denoted by the symbol '''š‘˜ ''' or '''š‘˜<sub>B</subBsub>'''š‘˜=*The [[Boltzmann Constant|Boltzmann constant]] has a value of 1.38Ɨ10āˆ’23k=1.38Ɨ10āˆ’23 38Ɨ10<sup>āˆ’23</sup> J/K.Relates *The [[Boltzmann Constant|Boltzmann constant]] relates the average [[Kinetic Energy|kinetic energy]] of [[particle]]s in a [[gas]] with the [[temperature]].Fundamental *The [[Boltzmann Constant|Boltzmann constant]] is fundamental in the statistical description of physical [[system]]s.Ā 
===Examples===
*Used in the ideal [[Ideal Gas|ideal gas]] law: š‘ƒš‘‰<math>pš‘‰=š‘š‘˜š‘‡</math> š‘š‘˜*Used in the formula relating the [[Kinetic Energy|kinetic energy]] of [[molecule]]s to their [[temperature]] in an [[Ideal Gas|ideal gas]]:š‘‡PV<math>\frac{1}{2}mv^2=NkT.\frac{3}{2}kT</math> *Important in the study of thermodynamics and statistical mechanics.