### Abstract

A generalized method for thermodynamic consistency to test binary and multicomponent vapour-liquid equilibrium data is reported. The essential step of the method is to solve the coexistence equation (deduced from the Gibbs-Duhem equation). This coexistence equation is an implicit differential equation - an ordinary one in the binary case and a partial one in any other multicomponent case. The unknown function in the differential equation is the molar excess Gibbs energy in all cases. The boundaries of an n-component system consist of the corresponding (n-1) component systems, and the properties of the latter serve also as boundary conditions for the differential equation. Mathematically the following problems arise: - Discretization considering the measured points; - Multivariable interpolation or fitting in the non-binary cases; - Error estimation. Possibilities of the generalization in the n-dimensional space are discussed, and results for the binary and ternary systems are shown.

Original language | English |
---|---|

Pages (from-to) | 129-133 |

Number of pages | 5 |

Journal | Hungarian Journal of Industrial Chemistry |

Volume | 22 |

Issue number | 2 |

Publication status | Published - Dec 1 1994 |

### ASJC Scopus subject areas

- Chemistry (miscellaneous)
- Chemistry(all)
- Chemical Engineering(all)

## Fingerprint Dive into the research topics of 'Mathematical problems in thermodynamic testing of vapour-liquid equilibrium data'. Together they form a unique fingerprint.

## Cite this

*Hungarian Journal of Industrial Chemistry*,

*22*(2), 129-133.