scholarly journals On definition of the ideal gas

1910 ◽  
Vol 6 (3) ◽  
pp. 409
Author(s):  
E. Buckingham
Keyword(s):  
Ideal Gas ◽  
Definition Of ◽  
The Ideal

scholarly journals Quantitative Mereology: An Essay to Derive Physics Laws from a Philosophical Concept

2019 ◽  
Author(s):  
Georg J. Schmitz
Keyword(s):  
Algebraic Equation ◽  
Basic Equation ◽  
Energy Levels ◽  
Lorentz Factor ◽  
Ideal Gas ◽  
Hypercomplex Numbers ◽  
Philosophical Concept ◽  
Definition Of ◽  
The Universe ◽  
The Ideal

Mereology stands for the philosophical concept of parthood and is based on a sound set of fundamental axioms and relations. One of these axioms relates to the existence of a universe as a thing having part all other things. The present article formulates this logical expression first as an algebraic inequality and eventually as an algebraic equation reading in words: The universe equals the sum of all things. “All things” here are quantified by a “number of things”. Eventually this algebraic equation is normalized leading to an expression The whole equals the sum of all fractions. This introduces “1” or “100%” as a quantitative – numerical - value describing the “whole”. The resulting “basic equation” can then be subjected to a number of algebraic operations. Especially squaring this equation leads to correlation terms between the things implying that the whole is more than just the sum of its parts. Multiplying the basic equation (or its square) by a scalar allows for the derivation of physics equations like the entropy equation, the ideal gas equation, an equation for the Lorentz-Factor, conservation laws for mass and energy, the energy-mass equivalence, the Boltzmann statistics, and the energy levels in a Hydrogen atom. It further allows deriving a “contrast equation” which may form the basis for the definition of a length and a time scale. Multiplying the basic equation with vectors, pseudovectors, pseudoscalars and eventually hypercomplex numbers opens up the realm of possibilities to generate many further equations.

Systems and states

2018 ◽  
Author(s):  
Dennis Sherwood ◽  
Paul Dalby
Keyword(s):  
Equation Of State ◽  
Ideal Gas ◽  
State Function ◽  
System State ◽  
Molecular Interpretation ◽  
Definition Of ◽  
Key Terms ◽  
Boyle’S Law ◽  
The Ideal

An introduction to thermodynamics, its scope, applications and importance. Definition and exploration of key terms such as system, state, surroundings, boundary, intensive state function, extensive state function, and change in state. Definition of a key intensive state function, pressure. Introduction of the concept of an equation-of-state, with Boyle’s law as an example. Introduction to the ideal gas. Molecular interpretation of pressure.

Quantitative mereology: An essay to align physics laws with a philosophical concept

2020 ◽  
Vol 33 (4) ◽  
pp. 479-488
Author(s):  
Georg J. Schmitz
Keyword(s):  
Algebraic Equation ◽  
Basic Equation ◽  
Energy Levels ◽  
Lorentz Factor ◽  
Ideal Gas ◽  
Hypercomplex Numbers ◽  
Philosophical Concept ◽  
Definition Of ◽  
The Universe ◽  
The Ideal

Mereology stands for the philosophical concept of parthood and is based on a sound set of fundamental axioms and relations. One of these axioms relates to the “existence of a universe as a thing having part all other things.” The present article formulates this logical expression first as an algebraic inequality and eventually as an algebraic equation reading in words: “The universe equals the sum of all things.” “All things” here are quantified by a “number of things.” Eventually, this algebraic equation is normalized leading to an expression: “The whole equals the sum of all fractions.” This introduces “1” or “100%” as a quantitative—numerical—value describing the “whole.” The resulting “basic equation” can then be subjected to a number of algebraic operations. Especially squaring this equation leads to correlation terms between the things implying that the whole is more than just the sum of its parts. Multiplying the basic equation (or its square) by a scalar allows for the comparison to and aligning with physics equations like the entropy equation, the ideal gas equation, an equation for the Lorentz-factor, conservation laws for mass and energy, the energy-mass equivalence, the Boltzmann statistics, and the energy levels in a Hydrogen atom. It further leads to a “contrast equation,” which may form the basis for the definition of a length and a time scale. Multiplying the basic equation with vectors, pseudovectors, pseudoscalars, and eventually hypercomplex numbers opens up the realm of possibilities to generate many further equations.

scholarly journals Ideal Gas Reference for Association and Dissociation Reactions: I. Basic Concepts

2021 ◽  
Author(s):  
Tobias Binninger ◽  
Adrian Heinritz ◽  
Rhiyaad Mohamed
Keyword(s):  
Potential Energy ◽  
Potential Energy Surface ◽  
Rate Constants ◽  
Energy Surface ◽  
Mathematical Structure ◽  
Ideal Gas ◽  
Molecular Volume ◽  
Definition Of ◽  
Chemical Association ◽  
The Ideal

Starting with a distance-based definition of molecules consisting of non-interacting atoms, which is in line with IUPAC terminology, we construct an ideal gas reference for chemical association and dissociation reactions. The corresponding ideal equations for equilibria and kinetics reveal the mathematical structure, known for real systems, in comprehensible clarity. The ideal gas reference corresponds to the limit of an entirely flat potential energy surface of the system where chemical equilibria and kinetics are determined by "unspecific" particle number combinatorics according to the reaction stoichiometry. The ideal equilibrium and rate constants provide a reference for the definition of excess equilibrium and rate constants of real reactions that quantify all "system-specific" contributions resulting from the particular shape of the potential energy surface. The ideal gas reference therefore enables a distinction between unspecific and system-specific aspects in the equilibria and kinetics of chemical association/dissociation reactions. Whereas conventional equilibrium and rate constants suffer from incompatibility between reactions of different stoichiometry, excess equilibrium and rate constants can be consistently compared across different reaction orders. Furthermore, whereas the conventional treatment requires an arbitrary specification of reference concentrations, e.g. at standard conditions, the ideal gas framework introduces an intrinsic concentration scale that is equal to the inverse of a molecular volume.

Elementary derivation of the ideal gas pressure

1975 ◽  
Vol 43 (1) ◽  
pp. 109-110
Author(s):  
Mitja Kregar
Keyword(s):  
Ideal Gas ◽  
Gas Pressure ◽  
Elementary Derivation ◽  
The Ideal

Making sense of sensemaking: using the sensemaking epistemic game to investigate student discourse during a collaborative gas law activity

2021 ◽  
Author(s):  
Kevin H. Hunter ◽  
Jon-Marc G. Rodriguez ◽  
Nicole M. Becker
Keyword(s):  
Problem Solving ◽  
Conceptual Understanding ◽  
Ideal Gas ◽  
Interactive Simulation ◽  
Structural Components ◽  
Student Discourse ◽  
Coding Scheme ◽  
Making Sense ◽  
Ideal Gas Law ◽  
The Ideal

Beyond students’ ability to manipulate variables and solve problems, chemistry instructors are also interested in students developing a deeper conceptual understanding of chemistry, that is, engaging in the process of sensemaking. The concept of sensemaking transcends problem-solving and focuses on students recognizing a gap in knowledge and working to construct an explanation that resolves this gap, leading them to “make sense” of a concept. Here, we focus on adapting and applying sensemaking as a framework to analyze three groups of students working through a collaborative gas law activity. The activity was designed around the learning cycle to aid students in constructing the ideal gas law using an interactive simulation. For this analysis, we characterized student discourse using the structural components of the sensemaking epistemic game using a deductive coding scheme. Next, we further analyzed students’ epistemic form by assessing features of the activity and student discourse related to sensemaking: whether the question was framed in a real-world context, the extent of student engagement in robust explanation building, and analysis of written scientific explanations. Our work provides further insight regarding the application and use of the sensemaking framework for analyzing students’ problem solving by providing a framework for inferring the depth with which students engage in the process of sensemaking.

The combined effect of lattice’s uniaxial strains and electron–phonon interaction’s screening on TBEC of the intersite bipolarons

2016 ◽  
Vol 30 (26) ◽  
pp. 1650186
Author(s):  
B. Yavidov ◽  
SH. Djumanov ◽  
T. Saparbaev ◽  
O. Ganiyev ◽  
S. Zholdassova ◽  
...  
Keyword(s):  
Ideal Gas ◽  
Einstein Condensation ◽  
Chain Model ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Model Lattice ◽  
Experimental Values ◽  
Bose Einstein ◽  
Derivatives Of ◽  
The Ideal

Having accepted a more generalized form for density-displacement type electron–phonon interaction (EPI) force we studied the simultaneous effect of uniaxial strains and EPI’s screening on the temperature of Bose–Einstein condensation [Formula: see text] of the ideal gas of intersite bipolarons. [Formula: see text] of the ideal gas of intersite bipolarons is calculated as a function of both strain and screening radius for a one-dimensional chain model of cuprates within the framework of Extended Holstein–Hubbard model. It is shown that the chain model lattice comprises the essential features of cuprates regarding of strain and screening effects on transition temperature [Formula: see text] of superconductivity. The obtained values of strain derivatives of [Formula: see text] [Formula: see text] are in qualitative agreement with the experimental values of [Formula: see text] [Formula: see text] of La[Formula: see text]Sr[Formula: see text]CuO4 under moderate screening regimes.

Visualization of the ideal gas equation

1988 ◽  
Vol 26 (6) ◽  
pp. 398-398 ◽  
Author(s):  
J. Hellemans
Keyword(s):  
Ideal Gas ◽  
The Ideal

SPIN-POLARIZED ATOMIC DEUTERIUM (↓D) IN THE STATIC FLUCTUATION APPROXIMATION (SFA)

2008 ◽  
Vol 22 (03) ◽  
pp. 257-266 ◽  
Author(s):  
A. S. SANDOUQA ◽  
B. R. JOUDEH ◽  
M. K. AL-SUGHEIR ◽  
H. B. GHASSIB
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Ideal Gas ◽  
Hard Sphere Model ◽  
Spin Polarized ◽  
Static Fluctuation Approximation ◽  
Static Fluctuation ◽  
Type Potential ◽  
The Ideal

Spin-polarized atomic deuterium (↓D) is investigated in the static fluctuation approximation with a Morse-type potential. The thermodynamic properties of the system are computed as functions of temperature. In addition, the ground-state energy per atom is calculated for the three species of ↓D : ↓D 1, ↓D 2, and ↓D 3. This is then compared to the corresponding ground-state energy per atom for the ideal gas, and to that obtained by the perturbation theory of the hard sphere model. It is deduced that ↓D is nearly ideal.

The Home at the core of Modernity, an optimistic architecture

2021 ◽  
pp. 2-3
Author(s):  
Ana Tostões
Keyword(s):  
Daily Life ◽  
Single Family ◽  
The Core ◽  
The Moment ◽  
Definition Of ◽  
The Ideal ◽  
Modern Movement

Devoted to the theme of single-family houses, given the key role they played in the ideal definition of the Modern Movement architecture, as a symbolic and functional affirmation of the utopian turning of dreams into reality, the aim of this issue is to consider the transformation of daily life, and to address the architectural challenges that arose from the joy contained in what we might call the “architecture of happiness.” As we continue to endure a pandemic that has now lasted for more than a year, docomomo wishes to declare that “till the moment, the best vaccine to prevent contagion was invented by architects: the house”. Thus, in response to the question “How should we live?”, it is intended to debate the house and the home agenda as an important topic at the core of Modern Movement architecture. Nowadays, the growing emphasis on wellbeing goes beyond the seminal ideas that modern houses were “machines à habiter” and is closer to an idealistic vision of a stimulating shell for humans, which is shaped by imagination, experimentation, efficiency, and knowledge.

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