%0 Journal Article %1 CJCE:CJCE5450640122 %A Farah, N. %A Missen, R. W. %D 1986 %I Wiley Subscription Services, Inc., A Wiley Company %J The Canadian Journal of Chemical Engineering %K 1986 equation-of-state mathematics properties thermodynamic %N 1 %P 154--157 %R 10.1002/cjce.5450640122 %T The computer-derivation of thermodynamic equations Part I. First and Second Derivatives for Simple Systems %U http://dx.doi.org/10.1002/cjce.5450640122 %V 64 %X An algorithm is described for the systematic derivation of expressions for first and second thermodynamic derivatives involving the use of Jacobians. The algorithm is implemented by means of a list-processing language in conjunction with a commercially available symbolic mathematical system for use with a microcomputer. The algorithm is intended to replace tables and procedures currently used “by hand”. Attention is limited in this paper to simple systems with two degrees of freedom, but the algorithm is to be extended ultimately to chemical systems subject to equilibrium constraints. Examples are given to illustrate the procedure.

@article{CJCE:CJCE5450640122, abstract = {An algorithm is described for the systematic derivation of expressions for first and second thermodynamic derivatives involving the use of Jacobians. The algorithm is implemented by means of a list-processing language in conjunction with a commercially available symbolic mathematical system for use with a microcomputer. The algorithm is intended to replace tables and procedures currently used “by hand”. Attention is limited in this paper to simple systems with two degrees of freedom, but the algorithm is to be extended ultimately to chemical systems subject to equilibrium constraints. Examples are given to illustrate the procedure.}, added-at = {2012-12-06T11:11:29.000+0100}, author = {Farah, N. and Missen, R. W.}, biburl = {https://www.bibsonomy.org/bibtex/2db9c46abac063f00c04bf89426543f8b/thorade}, description = {The computer-derivation of thermodynamic equations Part I. First and Second Derivatives for Simple Systems - Farah - 2009 - The Canadian Journal of Chemical Engineering - Wiley Online Library}, doi = {10.1002/cjce.5450640122}, interhash = {7206f75cf387ef8ef9c2c3ef933e219a}, intrahash = {db9c46abac063f00c04bf89426543f8b}, issn = {1939-019X}, journal = {The Canadian Journal of Chemical Engineering}, keywords = {1986 equation-of-state mathematics properties thermodynamic}, number = 1, pages = {154--157}, publisher = {Wiley Subscription Services, Inc., A Wiley Company}, timestamp = {2012-12-06T11:11:29.000+0100}, title = {The computer-derivation of thermodynamic equations Part I. First and Second Derivatives for Simple Systems}, url = {http://dx.doi.org/10.1002/cjce.5450640122}, volume = 64, year = 1986 }