• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Elementary Notes on Classical Thermodynamics
Elementary Notes on Classical Thermodynamics

... The system can exchange energy with the surroundings. This energy can be exchanged as either work or heat. A convention is normally adopted to define the sign of both work and heat. We will follow a definition according to which the heat received by the system, and the work done by the surroundings ...
Helmholtz free energy
Helmholtz free energy

... In thermodynamics, the Helmholtz free energy is a thermodynamic potential that measures the “useful” work obtainable from a closed thermodynamic system at a constant temperature and volume. For such a system, the negative of the difference in the Helmholtz energy is equal to the maximum amount of wo ...
Thermodynamics
Thermodynamics

... The starting point for most considerations of thermodyAnnotated color version of the original 1824 Carnot heat engine namic systems are the laws of thermodynamics, four prinshowing the hot body (boiler), working body (system, steam), and ciples that form an axiomatic basis. The first law specifies col ...
Review of Chemical Thermodynamics 7
Review of Chemical Thermodynamics 7

... Applications to the Life Sciences, Addison-Wesley Publishing Co.; Tinoco, I, Sauer, K., & Wang, JC (1994) Physical Chemistry: Principles and Applications in Biological ...
The Energy-Entropy Principle
The Energy-Entropy Principle

... proposed, with simultaneous corroboration. The use of a well known book with physical interpretations, like Fermi's, permits to achieve this goal. In fact, Fermi sacriÍices the logic consistency of the phenomenological view to the obvious interpretation emerging from the kinetic view. In point I it ...
Chapter 12: Engineering Thermodynamics
Chapter 12: Engineering Thermodynamics

... uniform and invariable in chemical composition. A pure substance can exist in more than one phase, but its chemical composition must be the same in each phase. For example, if liquid water and water vapor form a system with two phases, the system can be regarded as a pure substance because each phas ...
27 Oct. 2010 - PHA Science
27 Oct. 2010 - PHA Science

Review of Thermodynamics
Review of Thermodynamics

... macroscopic variables. The strength of the discipline is its ability to derive general relationships based upon a few fundamental postulates and a relatively small amount of empirical information without the need to investigate microscopic structure on the atomic scale. However, this disregard of mi ...
Max Planck: the reluctant revolutionary
Max Planck: the reluctant revolutionary

notes on thermodynamic formalism
notes on thermodynamic formalism

... γ. Since any loop in the P V -plane can be approximated by a sum of Carnot cycles, δQ/T must be an exact differential, so that we can write it in the form δQ dS := T The quantity S (a priori defined only up to an additive constant) is called the entropy of the system, and is seen by this reasoning t ...
State of Equilibrium
State of Equilibrium

... the change of the amount of substance (measured in moles) of component i. Obviously, if the amount of substance of the constituents does not change then this term is zero. However, if there is a reaction between the components of a mixture then this term will be non-zero and must be taken into accou ...
Screen Version
Screen Version

... 1. The substance starts at point A with temperature T2. The working substance is compressed adiabatically to state B. Its temperature rises to T1. 2. The cylinder is now placed on the warm reservoir H, from which it extracts a quantity of heat Q1. The working substance expands isothermally at temper ...
q 2 - q 1
q 2 - q 1

Chap-12A_Basic-Thermo-and-Laws
Chap-12A_Basic-Thermo-and-Laws

... Laws of Thermodynamics In simplest terms, the Laws of Thermodynamics dictate the specifics for the movement of heat and work. Basically, the First Law of Thermodynamics is a statement of the conservation of energy – the Second Law is a statement about the quality of energy or direction of that cons ...
DOI:10.1478/C1S0801002 Atti dell’Accademia Peloritana dei Pericolanti
DOI:10.1478/C1S0801002 Atti dell’Accademia Peloritana dei Pericolanti

... onto the equilibrium sub-space [42, 43]. Because of the gradient in (49)1 , this inequality belongs to a field formulation. This is also the case for the in time global dissipation inequality used by Day [44] and Coleman/Owen [45] ...
main
main

... The description of the microstate of most real systems is generally more complicated than that of the ideal gas. For the ideal gas the internal energy of the system consist entirely of sum of the translational energy of all its molecules. We can complicate the situation by considering an ideal diato ...
q 2 - q 1
q 2 - q 1

...  But if q ≠ 0 and W ≠ 0 , is there a definite maximum amount of work which the system can do during its change of state ? the answer to this question requires an examination of the nature of process . ...
Thermochemistry, thermodynamics Thermochemistry
Thermochemistry, thermodynamics Thermochemistry

... Most chemical reactions and physical changes occur at constant (usually atmospheric) pressure. In constant-pressure processes the equation ∆E = q + w becomes ∆E = qp − p∆V The quantity of heat transferred into or out of a system as it undergoes a chemical or physical change at constant pressure, qp ...
Thermodynamics - TCD Maths home
Thermodynamics - TCD Maths home

Statistical Mechanics--
Statistical Mechanics--

... particles and the energy are constant. Thus we are dealing with an isolated system. (ii) More commonly, if we allow energy exchange, so that energy is not a constant, the appropriate ensemble is the canonical ensemble, (iii) and if we permit the number of particles to vary, we then need to consider ...
Cellular Thermodynamics
Cellular Thermodynamics

... measurable. The complementary discipline of statistical mechanics applies the laws of physics to individual molecules, atoms and photons and, by considering the statistical behaviour of large numbers, deduces the behaviour of macroscopic systems. It thus relates thermodynamics to Newtonian or quantu ...
AP Chemistry Study Guide 6 Evaporation vs. condensation
AP Chemistry Study Guide 6 Evaporation vs. condensation

Biochemistry 304 2014 Student Edition Thermodynamics Lecture
Biochemistry 304 2014 Student Edition Thermodynamics Lecture

... In all processes the entropy, S, of the system plus the surroundings always increases until equilibrium is obtained, at which point the entropy is the maximum possible under the given temperature and pressure. Alternatively, it can be formulated that: the ultimate driving forces of all chemical and ...
Quantum Mechanics intensive property
Quantum Mechanics intensive property

Statistical Physics
Statistical Physics

< 1 2 3 4 5 6 7 8 9 10 ... 25 >

Entropy in thermodynamics and information theory



There are close parallels between the mathematical expressions for the thermodynamic entropy, usually denoted by S, of a physical system in the statistical thermodynamics established by Ludwig Boltzmann and J. Willard Gibbs in the 1870s, and the information-theoretic entropy, usually expressed as H, of Claude Shannon and Ralph Hartley developed in the 1940s. Shannon, although not initially aware of this similarity, commented on it upon publicizing information theory in A Mathematical Theory of Communication.This article explores what links there are between the two concepts, and how far they can be regarded as connected.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report