scholarly journals Entropy Calculation of Reversible Mixing of Ideal Gases Shows Absence of Gibbs Paradox

Entropy ◽  
1999 ◽  
Vol 1 (2) ◽  
pp. 25-36 ◽  
Author(s):  
Vasili Tatarin ◽  
Oleg Borodiouk
Keyword(s):  
Gibbs Paradox ◽  
Ideal Gases

scholarly journals Mixing indistinguishable systems leads to a quantum Gibbs paradox

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Benjamin Yadin ◽  
Benjamin Morris ◽  
Gerardo Adesso
Keyword(s):  
Statistical Mechanics ◽  
Thought Experiment ◽  
Entropy Change ◽  
Ideal Gas ◽  
Gibbs Paradox ◽  
Quantum Case ◽  
Entropy Increase ◽  
Level Of Knowledge ◽  
Different Gases ◽  
As If

AbstractThe classical Gibbs paradox concerns the entropy change upon mixing two gases. Whether an observer assigns an entropy increase to the process depends on their ability to distinguish the gases. A resolution is that an “ignorant” observer, who cannot distinguish the gases, has no way of extracting work by mixing them. Moving the thought experiment into the quantum realm, we reveal new and surprising behaviour: the ignorant observer can extract work from mixing different gases, even if the gases cannot be directly distinguished. Moreover, in the macroscopic limit, the quantum case diverges from the classical ideal gas: as much work can be extracted as if the gases were fully distinguishable. We show that the ignorant observer assigns more microstates to the system than found by naive counting in semiclassical statistical mechanics. This demonstrates the importance of accounting for the level of knowledge of an observer, and its implications for genuinely quantum modifications to thermodynamics.

scholarly journals Decoherence and damping in ideal gases

2010 ◽  
Vol 91 (6) ◽  
pp. 67003 ◽  
Author(s):  
J. Polonyi
Keyword(s):  
Ideal Gases

Mathematical solution of the Gibbs paradox

2011 ◽  
Vol 89 (1-2) ◽  
pp. 266-276 ◽  
Author(s):  
V. P. Maslov
Keyword(s):  
Gibbs Paradox ◽  
Mathematical Solution

Progressive waves in non-ideal gases

2014 ◽  
Vol 67 ◽  
pp. 285-290 ◽  
Author(s):  
K. Ambika ◽  
R. Radha ◽  
V.D. Sharma
Keyword(s):  
Ideal Gases ◽  
Progressive Waves

Modelling the Air-Cooled Gas Turbine: Part 1 — General Thermodynamics

2001 ◽  
Author(s):  
J. B. Young ◽  
R. C. Wilcock
Keyword(s):  
Gas Turbine ◽  
Performance Prediction ◽  
Real Gas ◽  
Thermal Mixing ◽  
Ideal Gases ◽  
Formal Framework ◽  
Considerable Simplification ◽  
Cycle Efficiency ◽  
General Thermodynamics

This paper is Part I of a study concerned with developing a formal framework for modelling air-cooled gas turbine cycles and deals with basic thermodynamic issues. Such cycles involve gas mixtures with varying composition which must be modelled realistically. A possible approach is to define just two components, air and gas, the latter being the products of stoichiometric combustion of the fuel with air. If these components can be represented as ideal gases, the entropy increase due to compositional mixing, although a true exergy loss, can be ignored for the purpose of performance prediction. This provides considerable simplification. Consideration of three idealised simple cycles shows that the introduction of cooling with an associated thermal mixing loss does not necessarily result in a loss of cycle efficiency. This is no longer true when real gas properties and turbomachinery losses are included. The analysis clarifies the role of the cooling losses and shows the importance of assessing performance in the context of the complete cycle. There is a strong case for representing the cooling losses in terms of irreversible entropy production as this provides a formalised framework, clarifies the modelling difficulties and aids physical interpretation. Results are presented which show the effects on performance of varying cooling flowrates and cooling losses. A comparison between simple and reheat cycles highlights the rôle of the thermal mixing loss. Detailed modelling of the heat transfer and cooling losses is discussed in Part II of this paper.

Development and Application of a Simulation Tool for Biomass Gasification Based Processes

2008 ◽  
Vol 6 (1) ◽  
Author(s):  
Tobias Pröll ◽  
Hermann Hofbauer
Keyword(s):  
Background Information ◽  
Simulation Tool ◽  
Water Steam ◽  
Organic Mixtures ◽  
Ideal Gases ◽  
Dual Fluidized Bed ◽  
Modelling Environment ◽  
Model Equations ◽  
Key Aspects ◽  
Energy Balances

A simulation tool for gasification based processes is presented for an equation-oriented, steady state modelling environment. The approach aims at an adequate description of phenomena linked to gasification. Background information is provided regarding the structure of the framework, thermodynamic data processing, and on the formulation of the model equations. The implemented substance streams are water/steam, ideal gases, inorganic solids, and organic mixtures. The models are based upon mass and energy balances and feature thermodynamic considerations. The addition of correlations for fluid dynamics or chemical kinetics is generally possible but not within the focus of this paper. The key-aspects of the typical unit-models, like pumps, turbines, heat exchangers, separators and chemical reactors are highlighted. The model of a dual-fluidized bed biomass gasifier is presented in detail. In a final case study, the suitability of the simulation tool is demonstrated for the description of the gasification-based biomass combined heat and power plant in Güssing/Austria.

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