Virial coefficients of model systems: Difference between revisions
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m (New page: <math> \frac{p V}{N k_B T } = Z = 1 + \sum_{k=2} B_k(T) \rho^{k-1}. </math> where * <math> p </math> is the pressure *<math> V </math> is the volume *<math> N </math> is the number o...) |
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The virial equation of state is used to describe the behavior of diluted gases. | |||
It is usually written as an expansion of the compresiblity factor, <math> Z </math> in terms of either the | |||
density or the pressure. In the first case: | |||
<math> \frac{p V}{N k_B T } = Z = 1 + \sum_{k=2} B_k(T) \rho^{k-1}. | <math> \frac{p V}{N k_B T } = Z = 1 + \sum_{k=2} B_k(T) \rho^{k-1}. | ||
</math> | </math> | ||
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*<math> N </math> is the number of molecules | *<math> N </math> is the number of molecules | ||
*<math> \rho \equiv \frac{N}{V} </math> is the (number) density | |||
*<math> B_k </math> is called the k-th virial coefficient | |||
* to be continued ... | * to be continued ... | ||
Revision as of 11:42, 20 February 2007
The virial equation of state is used to describe the behavior of diluted gases. It is usually written as an expansion of the compresiblity factor, in terms of either the density or the pressure. In the first case:
where
- is the pressure
- is the volume
- is the number of molecules
- is the (number) density
- is called the k-th virial coefficient
- to be continued ...