### Abstract

A theory for an equation of state for simple fluid mixtures valid both near to and far from critical points is presented. The base equation of state obtained from integral-equation theory using the mean-spherical approximation is used to compute the contribution of short-wavelength fluctuations to the free energy of the fluid mixture. Wilson's phase-space cell approximation, as extended by White, is used to compute the contribution of long-wavelength fluctuations.The resulting theory possesses nonclassic critical exponents similar to those observed experimentally. Far from the critical region, where long-wavelength fluctuations are not important, the theory reduces to that corresponding to the base equation of state. The complete theory is used to represent the thermodynamic properties and phase behavior of binary mixtures of methane, carbon dioxide and n-butane.In the critical region, agreement with experiment is dramatically improved upon, adding to the base equation of state corrections from long-wavelength fluctuations.

Original language | English |
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Pages (from-to) | 1455-1466 |

Number of pages | 12 |

Journal | AIChE Journal |

Volume | 44 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 1998 |

### Keywords

- vapor-liquid-equilibrium
- carbon-dioxide
- renormalization- group
- normal-butane
- n-butane
- statistical mechanics
- differential approach
- low-temperatures
- critical-points
- mode expansion

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## Cite this

Lue, L., & Prausnitz, J. M. (1998). Thermodynamics of fluid mixtures near to and far from the critical region.

*AIChE Journal*,*44*(6), 1455-1466. https://doi.org/10.1002/aic.690440622