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UNIQUAC (short for UNiversal QUAsiChemical) is an activity
coefficient model in which the activity coefficients, γ, of the components in a
chemical mixture can be related through their molar fraction,
x_{i}.
## Equations

### Combinatorial component

### Residual

## Uses

Activity coefficients can be used to predict simple phase equilibria
(vapour-liquid, liquid-liquid, solid-liquid), or to estimate other important
thermodynamic parameters. Models such as UNIQUAC allow for the calculation of
chemical mixtures that are commonly used in process simulation. This can be
achieved by interpolation from only a few known parameters, without requiring
experimental data from all desired points.
## Parameters

UNIQUAC requires two basic underlying parameters.### Newer Developments

UNIQUAC has been extended by several research groups. Some selected derivatives
are:## See also

## References

In UNIQUAC the activity coefficients of the i^{th} component of a two
component mixture are modelled, with the intermolecular forces are described by a
residual and combinatorial parts.

$ln\; ;\; gamma\_i\; =\; gamma^C\_i;+;gamma^R\_i$

The combinatorial component γ^{C} is calculated exclusively from the
pure chemical parameters, using the relative Van der Waals volumes r_{i} and
surface areas q_{i} of the pure chemicals.

$ln\; ;\; gamma\_i^C\; =\; 1\; -\; V\_i\; +\; ln\; ;\; V\_i\; -\; 5\; q\_i\; left(1\; -\; frac\{V\_i\}\{F\_i\}\; +\; ln\; frac\{Vi\}\{Fi\}right)$

With the volume fraction per mixture mole fraction, V_{i}, for the i^{th}
component given by:

$V\_i\; =\; frac\{r\_i\}\{sum\_j\; r\_j\; x\_j\}$

And the surface area fraction per mixture molar fraction, F_{i}, for the
i^{th} component given by:

$F\_i\; =\; frac\{q\_i\}\{sum\_j\; q\_j\; x\_j\}$

The residual term contains an empirical parameter, which is derived from experimental, or occasionally estimated, activity coefficients.

$ln\; ;\; gamma\_i^R\; =\; q\_i\; left(1\; -\; ln\; ;\; frac\{sum\_j\; q\_j\; x\_j\; tau\_\{ji\}\; \}\{\; sum\_j\; q\_j\; x\_j\}\; -\; sum\_j\; \{frac\{q\_j\; x\_j\; tau\_\{ij\}\}\{sum\_k\; q\_k\; x\_k\; tau\_\{kj\}\}\}\; right)$

with

$tau\_\{ij\}\; =\; e^\{-Delta\; u\_\{ij\}/\{RT\}\}$

Δu_{ij} [J/mol] is the estimated binary parameter between two components,
i and j.

- Relative surface and volume fractions are chemical constants, which must be known for all chemicals.
- An empirical parameter between components that describes the intermolecular behaviour. This parameter must be known for all binary pairs in the mixture. In a quaternary mixture there are six such parameters (1-2,1-3,1-4,2-3,2-4,3-4) and the number rapidly increases with additional chemical components. The empirical parameters are derived from experimental activity coefficients, or from phase diagrams, from which the activity coefficients themselves can be calculated. An alternative is to obtain activity coefficients with a method such as UNIFAC, and the UNIFAC parameters can then be simplified by fitting to obtain the UNIQUAC parameters. This method allows for the more rapid calculation of activity coefficients, rather than direct usage of the more complex method.

- UNIFAC : A method which permits the volume, surface and in particular,the binary interaction parameters to be estimated. This eliminates the use of experimental data to calculate the UNIQUAC parameters.
- Extensions for the estimation of activity coefficients for electrolytic mixtures.
- Extensions for better describing the temperature dependence of activity coefficients

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Last updated on Monday September 08, 2008 at 06:05:34 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Monday September 08, 2008 at 06:05:34 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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