IDEAL SOLUTION AND GIBBS-DUHEM-MARGULES EQUATION

WHAT IS THE IDEAL SOLUTION?

In binary solution liquids, the interaction between molecules of components is similar to the interaction between molecules of different components.

The ideal solution obeys Raoult’s law under all temperature and concentration conditions; there is no change if mixing two components.

For example Bromobenzene and chlorobenzene, Benzene and Toluene

Raoult’s law is applicable for an ideal solution; component A is,

\[\displaystyle {{P}_{A}}={{x}_{A}}P_{A}^{0}------(1)\]

Above equation (1), taking logarithms of both sides and differentiating, we have,

\[\displaystyle d\ln {{P}_{A}}=d\ln {{x}_{A}}\]

or

\[\displaystyle \frac{{d\ln {{P}_{A}}}}{{d\ln {{x}_{A}}}}=1-----(2)\]
\[\displaystyle \frac{{d\ln {{P}_{B}}}}{{d\ln {{x}_{B}}}}=1-----(3)\]

If we integrate equation (3), we get,

\[\displaystyle \ln {{P}_{B}}=\ln {{x}_{B}}+\ln K\]

Here, lnK = integrating constant

Taking antilog on both sides of the above equation, we get

\[\displaystyle {{P}_{B}}={{K}_{{xB}}}\]
\[\displaystyle \text{And }{{x}_{B}}=1,\]
\[\displaystyle \text{So, }{{P}_{B}}\text{becomes P}_{B}^{0},K=\text{P}_{B}^{0}\]
\[\displaystyle {{P}_{B}}=\text{P}_{B}^{0}{{x}_{B}}-----(4)\]

Equation (4) is Raoult’s law for component B.

Therefore, we found that component A obeys Raoult’s law in the binary solution, so component B also obeys Raoult’s law.

Citation & Reference:

Citation: (Sheladiya, 2022) 
Reference this article as (APA): Sheladiya, B. S. (2022, September 3). IDEAL SOLUTION AND GIBBS-DUHEM-MARGULES EQUATION. Retrieved from www.purechemistry.org: https://www.purechemistry.org/types-of-reversible-electrodes/

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About the author

Bhoomika Sheladiya

BSc. (CHEMISTRY) 2014- Gujarat University
MSc. (PHYSICAL CHEMISTRY) 2016 - School of Science, Gujarat University

Junior Research Fellow (JRF)- 2019
AD_HOC Assistant Professor-(July 2016 to November 2021)

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