Derive approximate expression by regular solution theory

In summary, the conversation discusses deriving an approximate expression using regular solution theory, but the lack of relevant sources and a vague question make it difficult to provide a clear answer. The interaction parameter and Flory-Huggins solution theory are mentioned, and a possible source for the expression of entropy of mixing is suggested. Further questions about the molar enthalpy and Gibbs energy of mixing, as well as the limit of solubility, are also raised.
  • #1
alan
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The question is about to derive an approximate expression by regular solution theory, It is difficult for me to find relevant source on this question. However, the question to me is so vague that I do not know how to answer.

What I have tried is to search what the interaction parameter is, it gives me the

Flory–Huggins solution theory.
For regular solution, it is in the domain on chemistry.
Please have a look on the attachment.
螢幕快照 2017-03-21 00.03.48.png
 
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  • #2
The wikipedia article gives you the expression for the entropy of mixing. In terms of the interaction parameter, the molar enthalpy of mixing is RTχx1x2, where x1 and x2 are the mole fractions of the two components. Can you get an expression for the molar Gibbs energy of mixing? What would be the criterion, in terms of ΔG, for the limit of solubility?
 
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1. What is regular solution theory?

Regular solution theory is a scientific model used to describe the behavior of mixtures of two or more substances. It is based on the idea that the interactions between molecules in the mixture are similar to those between molecules in a pure substance, and that the interactions between molecules of different substances are weaker.

2. How does regular solution theory work?

Regular solution theory uses a set of equations to calculate the excess Gibbs free energy of a mixture, which is a measure of the thermodynamic stability of the mixture. This excess Gibbs free energy is then used to determine other properties of the mixture, such as the activity coefficients and the phase behavior.

3. What is the importance of regular solution theory?

Regular solution theory is important because it provides a simple and efficient way to model the behavior of mixtures, which are common in many scientific fields such as chemistry, biology, and materials science. It also allows scientists to predict the properties of new mixtures without having to conduct extensive experimental studies.

4. What are the limitations of regular solution theory?

Regular solution theory is based on several assumptions, such as the similarity in molecular interactions and the absence of specific interactions between molecules of different substances. These assumptions may not hold true for all mixtures, leading to errors in the predicted properties. Additionally, regular solution theory is not suitable for mixtures with strong interactions between molecules.

5. How is regular solution theory used in practical applications?

Regular solution theory is used in various industries, such as pharmaceuticals, chemicals, and food processing, to design and optimize mixtures for specific purposes. It is also used in environmental studies to understand the behavior of pollutants in air and water. In research, regular solution theory is used to analyze and interpret experimental data and to guide the development of new mixtures with desired properties.

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