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| '''Mixing rules''' (see also [[Combining rules]]). | | '''Mixing rules''' (see also [[Combining rules]]). |
| ==van der Waals mixing rules== | | ==van der Waals mixing rules== |
| The [[van der Waals equation of state]] can be written as
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| :<math>\left(p + \frac{an^2}{V^2}\right)\left(V-nb\right) = nRT</math>
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| For mixtures one replaces <math>a</math> and <math>b</math> with expressions that depend on the composition:
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| :<math>a \rightarrow \sum_i^n \sum_j^n x_i x_j a_{ij}</math>
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| and
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| :<math>b \rightarrow \sum_i^n \sum_j^n x_i x_j b_{ij}</math>
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| where
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| :<math>a_{ij} = (1-k_{ij}) \sqrt{(a_{ii} a_{jj})} ~~~~~~~~ i\neq j</math>
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| and
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| :<math>b_{ij} = \frac{(b_{ii} b_{jj})}{2} ~~~~~~~~ i\neq j</math>
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| where <math>k_{ij}</math> is obtained from a fit.
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| See also <ref>[http://dx.doi.org/10.1039/TF9696502034 T. W. Leland, J. S. Rowlinson, G. A. Sather and I. D. Watson "Statistical thermodynamics of two-fluid models of mixtures", Transactions of the Faraday Society '''65''' pp. 2034-2043 (1969)]</ref>
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| ==References== | | ==References== |
| <references/> | | <references/> |
| ;Related reading
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| *[http://dx.doi.org/10.1016/0009-2509(86)87103-2 T. Y. Kwak and G. A. Mansoori "Van der waals mixing rules for cubic equations of state. Applications for supercritical fluid extraction modelling", Chemical Engineering Science '''41''' pp. 1303-1309 (1986)]
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| *[http://dx.doi.org/10.1016/0378-3812(93)85079-2 Kenneth R. Hall, Gustavo A. Iglesias-Silva, and G. Ali Mansoori "Quadratic mixing rules for equations of state: Origins and relationships to the virial expansion", Fluid Phase Equilibria '''91''' pp. 67-76 (1993)]
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| [[category: classical thermodynamics]] | | [[category: classical thermodynamics]] |
| [[category: mixtures]] | | [[category: mixtures]] |