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GATE 2026 Exam Date Announced – Complete Schedule, Syllabus, and Key Details » GATE Study Materials » Chemical Engineering » Excess Properties and Activity Coefficients
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Excess Properties and Activity Coefficients

Excess properties are these properties of mixtures that function for quantification of real mixtures behaviour which is mostly non-ideal. The most used properties are excess chemical potential.

Table of Content
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Excess properties on the chemical thermodynamics help in the quantification of non-ideal behaviour for the real mixtures. The definition can be understood as the difference between the value of the property for real mixtures and the value that can exist for the properties of a real mixture when the ideal solution is placed in the same condition. . This formula explains the excess properties of relationships. In context to activity coefficients, it is applied in different processes. Activity coefficients are derived from the distillation process of data at the temperature of boiling point or the calculation of liquid extraction processes. 

Activity coefficient: overview

Activity coefficient is used in thermodynamics to measure the deviations that are found in the ideal behaviour in chemical substances mixtures. It represents the deviations from the conduction of the combination of synthetics substances. Collaboration between the tiny particles in each pair is similar and ideal. In other words, it is the measure in the form of the ratio of the chemical activities in the molar concentration of the substances. There may be a situation where the concentration measured may not provide an accurate indication of chemical effectiveness which is represented by the equation related to a specific reaction. In calculating solutions, the measure of activity coefficients represents the measurement method in which the solution can differ from the ideal solution. The ideal solution refers to the process in which each molecule’s effectiveness gets equal to the theoretical effectiveness, in this way the active coefficient will be 1.

Activity coefficient: formula 

  • Activity coefficients are measured in different components such as solid, liquid and gasses.  The formula for the ideal mixture is understood by the following. I in the mixture represents the components. Μ is the component that has the chemical, potential and is present in the mole fraction composition m fixtures.
  • On the other hand, is a pure component and has chemical potential for I. R represents the constant universal gas.
  • Real mixtures vary from the ideal mixtures. The equation can be modified as

Excess properties thermodynamics: overview 

Excess properties thermodynamics is the alternative method for abstracting partial molar property techniques as well as providing a solution for the non-ideality by excess property methods. It describes the solutions about their deviations that arose from the ideal behaviour. The most used properties for excess properties are excess chemical potential, excess volume, and excess enthalpy. The trio is identical and possesses corresponding mixed properties. In context to excess chemical potential, it can be understood as the energy that is absorbed or released from the change of the specific number for a given species, for instance, chemical reaction, and phase transition. It is a partial derivative of free energy. In context to excess enthalpy, enthalpy is released or absorbed from the substance at the time of mixing. Extensive releases sometimes can cause an explosion.

Excess properties thermodynamics

Those properties of the mixtures that quantify the real mixtures’ non-ideal behaviour are known as the excess properties of thermodynamics. Internal energy, enthalpy and excess volume share identical properties. Excess properties consist of elements in solid, liquid, and gaseous forms. The formula used for the components differs in its approach. The basic formula for calculation of the excess volume is (V m E) = ∑ (i 1 ρ – 1 ρ i x i M i). Here, ρ is highlighted as the density of the mixture, xi is the mole fraction, and Mi is the density.

Conclusion 

Thermodynamics includes a study that focuses on the relationship between energy, temperature, work, and heat. In chemistry, thermodynamics helps in understanding the chemical reactions between elements, molecules. The properties are based on the ideal property and real properties. It encompasses the ideal mixtures which mean the activity coefficients for the components that are equal to the temperature, pressure, and concentration. Excess property thermodynamics describes the solutions about their deviations arising from the ideal behaviour. The activity coefficient helps in measuring the chemical reaction of the substance in context to the molar concentration of its substances. Excess properties are great techniques to analyse chemical reactions based on significant phenomena.

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Get answers to the most common queries related to the GATE Examination Preparation.

What do you mean by activity coefficients?

Ans. Activity coefficients help in the derivation of intermolecular relationships. In context to the i...Read full

What do you understand about excess properties?

Ans :Excess properties on the chemical thermodynamics provided for the quantification of non...Read full

What does thermodynamics mean in chemistry?

Ans :Thermodynamics in the chemical field is the study that focuses on the interrelation of work an...Read full

What is the ideal mixture?

Ans. The quantity of the ideal mixture shows that deviation arose from the actual concentration in cases of a...Read full

What do you mean by an activity coefficient less than 1?

Ans : If the activity coefficient is less than 1 for the molecular relationship, it means there is ...Read full

Ans. Activity coefficients help in the derivation of intermolecular relationships. In context to the ideal solution, it assumes that there are no interactions among ions when it is mixed in the solution. However, ions interact with the solvents. The activity coefficient for this purpose is used to measure the interactions dependent on the ions in the solutions.

Ans :Excess properties on the chemical thermodynamics provided for the quantification of non-ideal behaviour for the real mixtures. The definition can be understood as the difference between the value of the property for real mixtures and the value that can exist for the properties of real

Ans :Thermodynamics in the chemical field is the study that focuses on the interrelation of work and heat that combines the chemical reactions or changes in physical properties of any state within the scope of thermodynamics law.

Chemical thermodynamics is the study of the interrelation of heat and work with chemical reactions or with physical changes of state within the confines of the laws of thermodynamics

Ans. The quantity of the ideal mixture shows that deviation arose from the actual concentration in cases of a component is in the form of the ideal mixture. Activity coefficients for the components of the ideal mixture are equal to 1 at any temperature, pressure, and concentration.

Ans : If the activity coefficient is less than 1 for the molecular relationship, it means there is a strong attractive force between the molecules in the concentration and more energy must be enforced for separating them.  This is also known as the negative deviation that emerged from Raoult’s law.

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