Difference between revisions of "Boltzmann Constant"
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==Key Stage 5== | ==Key Stage 5== | ||
===Meaning=== | ===Meaning=== | ||
| − | The [[Boltzmann constant]] is the | + | The [[Boltzmann Constant|Boltzmann constant]] is the [[Molar Gas Constant|molar gas constant]] divided by the [[Avogadro Constant|Avogadro constant]]. |
===About the Boltzmann Constant=== | ===About the Boltzmann Constant=== | ||
| − | + | *The [[Boltzmann Constant|Boltzmann constant]] denoted by the symbol '''𝑘''' or '''𝑘<sub>B</sub>''' | |
| − | + | *The [[Boltzmann Constant|Boltzmann constant]] has a value of 1.38×10<sup>−23</sup> J/K. | |
| − | + | *The [[Boltzmann Constant|Boltzmann constant]] relates the average [[Kinetic Energy|kinetic energy]] of [[particle]]s in a [[gas]] with the [[temperature]]. | |
| − | + | *The [[Boltzmann Constant|Boltzmann constant]] is fundamental in the statistical description of physical [[system]]s. | |
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===Examples=== | ===Examples=== | ||
| − | Used in the | + | *Used in the [[Ideal Gas|ideal gas]] law: |
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| − | + | <math>p𝑉=𝑁𝑘𝑇</math> | |
| − | = | + | *Used in the formula relating the [[Kinetic Energy|kinetic energy]] of [[molecule]]s to their [[temperature]] in an [[Ideal Gas|ideal gas]]: |
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| − | + | <math>\frac{1}{2}mv^2=\frac{3}{2}kT</math> | |
| − | + | *Important in the study of thermodynamics and statistical mechanics. | |
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| − | Important in the study of thermodynamics and statistical mechanics. | ||
Latest revision as of 13:46, 22 May 2024
Key Stage 5
Meaning
The Boltzmann constant is the molar gas constant divided by the Avogadro constant.
About the Boltzmann Constant
- The Boltzmann constant denoted by the symbol 𝑘 or 𝑘B
- The Boltzmann constant has a value of 1.38×10−23 J/K.
- The Boltzmann constant relates the average kinetic energy of particles in a gas with the temperature.
- The Boltzmann constant is fundamental in the statistical description of physical systems.
Examples
- Used in the ideal gas law\[p𝑉=𝑁𝑘𝑇\]
- Used in the formula relating the kinetic energy of molecules to their temperature in an ideal gas\[\frac{1}{2}mv^2=\frac{3}{2}kT\]
- Important in the study of thermodynamics and statistical mechanics.