Entropy Change

Entropy change is the difference in a system’s entropy between two states, quantifying how energy dispersal and the number of accessible microscopic arrangements change during a process. In thermodynamics, a reversible change is calculated from dS = δQ_rev/T, while irreversible processes produce entropy, so the total entropy of an isolated system cannot decrease. Entropy change helps determine whether heat transfer, phase transitions, chemical reactions, and other processes are thermodynamically feasible. In physics, it connects macroscopic variables such as temperature and heat to microscopic behavior, providing a framework for analyzing equilibrium, irreversibility, and the direction of natural processes.

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JoVE Core - Chemistry

Standard Entropy Change for a Reaction

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2020

Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants. where np and nr represent the stoichiometric coefficients in the balanced equation of the products and reactants, respectively. For example, ΔS°rxn for the following reaction at room temperature is computed as follows: A partial listing of standard entropies is provided in the table. Substance

Entropy Change in Reversible Processes

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2023

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero. The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

Entropy

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2023

Source: Ketron Mitchell-Wynne, PhD, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA The second law of thermodynamics is a fundamental law of nature. It states that the entropy of a system always increases over time or remains constant in ideal cases when a system is in a steady state or undergoing a "reversible process." If the system is undergoing an irreversible process, the entropy of the system will always...

Entropy

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2020

Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...

Entropy

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2023

The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy. When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in. Consider an infinitesimal step in the expansion, which...

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