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Offline ioncube  
#1 Posted : 30 July 2023 19:45:38(UTC)
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@ https://en.wikipedia.org...3Kwong_equation_of_state

I 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

EOS.png

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Offline Razonar  
#2 Posted : 31 July 2023 03:47:31(UTC)
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Originally Posted by: ioncube Go to Quoted Post
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 14 time(s).
Redlich-Kwong.pdf (94kb) downloaded 15 time(s).

Best regards.
Alvaro.
Offline Razonar  
#3 Posted : 31 July 2023 14:08:07(UTC)
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Joining above with this other two methods.

Redlich-Kwong - HeXe mix.pdf (137kb) downloaded 15 time(s).
Redlich-Kwong - HeXe mix.sm (60kb) downloaded 11 time(s).

Best regards.
Alvaro.
Offline ioncube  
#4 Posted : 31 July 2023 22:42:08(UTC)
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Extremely thanks for your time.



I understood. Thanks

Edited by user 31 July 2023 23:00:28(UTC)  | Reason: Not specified

Offline Jean Giraud  
#5 Posted : 01 August 2023 00:32:32(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 10 time(s).
Offline ioncube  
#6 Posted : 01 August 2023 22:02:50(UTC)
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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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