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Understanding Redlich–Kwong equation of state
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@ https://en.wikipedia.org...3Kwong_equation_of_stateI have a question regarding mixture rules of mentioned EOS & particularly the math notation that I could not comprehend In the attached image what does this Math notation means -- annotated as 1? e.g if I have x2 species x1= 0.6 x2=0.4 (mol frac) a1= 0.16 a2=0.4 (constants) what does this notation with double summation will do with these values? Second alternative -- annotated as 2, does it imply following construct? 1] GeomatricAVG = (0.16 * 0.14) ^ 1/2 -- 1/n where n is 2 bcz its a binary mixture 2] A = 0.6 * GeomatricAVG + 0.4 * GeomatricAVG 
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Originally Posted by: ioncube  In the attached image what does this Math notation means -- annotated as 1? Hi. It means that, given the relationship between the "a's" of each component and the "a" of the mixture, you need a matrix of interaction coefficients to determine the attractive potential of molecules coefficient for the mixture, which is usually found by assuming that each coefficient in the matrix is the geometric mean of the component coefficients. A complete example of how the Redlich-Kwong model is used for a mixture in the attached.  Redlich-Kwong.sm (24kb) downloaded 18 time(s). Redlich-Kwong.pdf (94kb) downloaded 20 time(s).Best regards. Alvaro.
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Joined: 04/12/2017(UTC) Posts: 66 Was thanked: 3 time(s) in 3 post(s)
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Extremely thanks for your time.
My original question was understanding this construct with double summation notation. Can I ask you to elaborate on this construct, perhaps re=construct it with for loop which is more readable 
I understood. Thanks Edited by user 31 July 2023 23:00:28(UTC)
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Redlich_Kwong is an optimized version of the simpler mixture. Optimized wrt to coefficients c1,c2 [a,b]. It might be possible to fit mixture vs some Redlich_Kwong data set. Refactor the graphs Solver 30405. Inst_Mixture.sm (41kb) downloaded 14 time(s).
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I will go through Jean's file in about a day. Thanks Jean for your much needed help.
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