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Soret's Principle, also known as Sorption Isotherm, is a mathematical concept in thermodynamics that describes the behavior of a mixture of two components. It is used to predict the distribution of one component in a binary mixture between two phases, such as a gas and a liquid, or a solid and a liquid.

The principle is named after the French chemist Charles Soret, who first proposed it in the late 19th century. It states that the ratio of the concentrations of two components in a mixture is constant, provided that the temperature and other conditions remain the same. This means that if the concentration of one component increases, the concentration of the other component will decrease by a fixed proportion.

Soret's Principle is widely used in various fields, including chemistry, physics, and engineering. It is particularly useful in the study of solutions, where it helps to predict the behavior of one component in the presence of another. The principle is also used in the design of separation processes, such as distillation and adsorption, where it helps to optimize the performance of the system.

The equation that describes Soret's Principle is:

n A/n B = constant

where n A and n B are the concentrations of the two components in the mixture. This equation shows that the ratio of the concentrations of the two components is constant, regardless of their absolute values.

Overall, Soret's Principle is a fundamental concept in thermodynamics that provides a useful tool for predicting the behavior of binary mixtures. Its applications are diverse and widespread, and it remains an important area of research in the scientific community.