mbeychok and sshep:
In general, I agree with the substance of your comments. Regarding the design methods of the past (a favorite subject of mine, since I did much process design in the 1960s), there is no question that those simpler methods and "shortcut" calculations were the only options with slide rules. When I first used the HP-35 electronic calculator in the early 1970s (studying with Professor Manning at Tulsa), I thought I had died and gone to heaven.
In the 1040s and 1950s, I believe that for most columns in petroleum refineries, there were many shortcut methods in vogue. Hardly anyone had heard of using the more rigorous tray-by-tray algorithms based on pseudocomponents in spite of the publication, e.g., of the Lewis-Matheson and Thiele-Geddes algorithms. For light hydrocarbon columns, many designs were based on the Fenske-Underwood-Gilliland shortcut method along with Drickamer & Bradford or O’Connell’s overall column efficiency correlations. Here, one needed K-values at the top, feed, and bottom of the column only. This situation began to change in the 1960s as the universities led the way by devising better algorithms and adding superior thermodynamic options (Chao-Seader, etc.). You might recall Rudy Motard’s CHESS and Canfield’s ChemShare programs.
However, in the 1960s and even mid-1970s, I do recall that individual engineers never had the wherewithal to do tray-by-tray calculations as they lacked access to computers. Major operating and engineering companies used highly proprietary, home-grown process simulators running on very slow computers by modern standards, often with approximate thermodynamics (e.g., tabular K-values dependent only on T and P). The trick of course was developing standardized calculation methods backed up with consistent “tray efficiencies”, heat transfer coefficients, etc. that were based on field calibration.
My main point was not to decry the efforts of the past but rather to reinforce Dick Russell’s original contention that hydrocarbon dew point calculations are extremely sensitive to the feed composition as well as the source for K-values.
With respect to sshep’s discussion of EOS v/s activity coefficients, I would like to add that the latter method is generally applied when the liquid phase is extremely non-ideal in the sense of Raoult’s law (infinite-dilution activity coefficients very far from unity) and all components are well within their critical temperature. For the hydrocarbon industries where many components in a mixture are way beyond their critical temperature - and hence cannot be handled by any method that estimates liquid fugacities based on vapor pressures - the fugacity coefficient approach derived from an EOS is the only logical option. Use of tabular or graphical methods in such systems is not recommended practice today by any means, as there are many instances where one could court disaster by doing this. Unfortunately, too many younger engineers have no idea of what we’re talking about here.
Also, I do agree with sshep’s point about the importance of EOS mixing rules (and the implied use of adjustable binary interaction parameters). This is in itself a huge area for research, see e.g., Prausnitz, Lichtenthaler, and Gomes de Azevedo: “Molecular Thermodynamics of Fluid Phase Equilibria” (3rd edition, Prentice-Hall, 1999) and Orbey and Sandler: “Modeling Vapor-Liquid Equilibria” (Cambridge Univ. Press, 1998). One must be extremely careful to choose the right mixing rule since published binary interaction parameters are worthless if you change even slightly the mixing rules on which they are based.
In retrospect, we may have strayed a bit from the original dew point issue, but it seems a logical departure to me at least. I would commend all who have contributed to this thread, as I think there is much knowledge and experience “distilled” here.