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University Physics AI No. 12 The Second Law of Thermodynamics
University Physics AI No. 12 The Second Law of Thermodynamics

... The most probable state is the ten particles divided into two equal parts, in this situation, the number ...
Class notes
Class notes

... Closed Systems ...
Slide 1 - KaiserScience
Slide 1 - KaiserScience

... • heat flows spontaneously from a hot object to a cold one, but not the reverse • a given amount of heat cannot be changed entirely to work • natural processes tend to increase entropy. ...
Slide 1
Slide 1

... • heat flows spontaneously from a hot object to a cold one, but not the reverse • a given amount of heat cannot be changed entirely to work • natural processes tend to increase entropy. ...
Ch15Thermo (1)
Ch15Thermo (1)

... • heat flows spontaneously from a hot object to a cold one, but not the reverse • a given amount of heat cannot be changed entirely to work • natural processes tend to increase entropy. ...
Chapter 6 Thermodynamics and the Equations of Motion
Chapter 6 Thermodynamics and the Equations of Motion

... motion whether it deals with acoustic waves, spiral arms in hurricanes, weather waves in the atmosphere or the meandering Gulf Stream in the ocean. This very richness in the basic equations is an impediment to solving any one of those examples since for some phenomenon of interest we have included m ...
More Thermodynamics
More Thermodynamics

... of state does account for this. The term in the denominator of equation (3) is nothing more than the constant volume heat capacity (∂U/∂T)V = CV . It can be shown that CV is never negative and only depends upon temperature for the van der Waals equation of state. Since the parameter a is also never ...
Thermodynamic Symbols and Constants
Thermodynamic Symbols and Constants

... HoT - Ho298 is the enthalpy at the standard state T less the enthalpy at the standard state at 298.15 K. (GoT - Ho298)/T is the Gibbs energy function and is equal to (HoT - Ho298)/T - SoT. This function is tabulated because it shows greater linearity than GoT thus facilitating interpolation between ...
Chapter 6 ()
Chapter 6 ()

... additional information to deal with the state variables density and pressure and that we were one equation short of matching unknowns and equations. In both meteorology and oceanography the variation of density and hence buoyancy is critical in many phenomenon such cyclogenesis and the thermohaline ...
Thermodynamics
Thermodynamics

2nd law of thermodynamics
2nd law of thermodynamics

... In 1840 N.G. Hess formulated the law of constancy of the sum of heat: The heat of reaction is independent of the transition reaction, but only on the initial and final state of the system. For example: PbSO4 can be obtained in different ways: 1. Pb + S + 2O2 = PbSO4 + 919 kJ/mole 2. Pb + S = PbS + 9 ...
Chapter 6
Chapter 6

... motion whether it deals with acoustic waves, spiral arms in hurricanes, weather waves in the atmosphere or the meandering Gulf Stream in the ocean. This very richness in the basic equations is an impediment to solving any one of those examples since for some phenomenon of interest we have included ...
An equal area law for holographic entanglement entropy of the AdS
An equal area law for holographic entanglement entropy of the AdS

... Motivated by the themes above, in this paper we track entanglement entropy across a family of van der Waals-like phase transitions of charged black holes in AdS. The first phase transition under study is the one of AdS-RN in the canonical ensemble in 4 and 5 dimensions. This transition was first di ...
Chapter 6 Thermodynamics and the Equations of Motion
Chapter 6 Thermodynamics and the Equations of Motion

... If the fluid is in thermodynamic equilibrium any thermodynamic variable for a pure substance, like pure water, can be written in terms of any two other thermodynamic variables✿, i.e. ...
30 Scientific American, November 2010
30 Scientific American, November 2010

Chapter 5 auxiliary functions
Chapter 5 auxiliary functions

... * From the second law of thermodynamics : q ≤ T(S2 –S1) ≤ – ΔGَw therefore for reversible processes that occur at constant temperature and pressure ; the maximum amount of work , other than the p – v work is given by equation : max = – ΔGَw * again the pervious inequality can b written as ; = – (ΔG ...
Maxwell Relations
Maxwell Relations

... Above result shows that if is +ve, then adiabatic increase in pressure causes the temprature to rise. ** Similarily using other maxwell’s equations we can explain the stretching of wires and thin films ...
The Concentration Dependence of the
The Concentration Dependence of the

... concentration-independent entropy terms. Often, the concentration-independent determinants of ∆S are more familiar to biochemistry students. For example, most students know that the local (system) entropy decreases when differences in translational or rotational freedom cause products to be more con ...
Review - UMD Physics
Review - UMD Physics

... 4. It cannot be determined from the information given ...
LECTURE 5 Temperature Scales The equation of state of any
LECTURE 5 Temperature Scales The equation of state of any

... perhaps as many as 8 or 9 known phases known as ice I, ice II, etc. Notice the negative slope of the phase boundary between liquid and solid (ice). This is very unusual. Most substances have a positive slope. The negative slope implies that if we have an equilibrium mixture of water and ice (i.e., i ...
about a variety of material equilibrium conditions
about a variety of material equilibrium conditions

... with necessity changes at change of common number of moles of system N. Therefore at definition of heat and work in open systems there was a necessity to exclude from complete change of entropy dS and volume dV that their part, which is caused which is caused by mass exchange and diffusion. Despite ...
full paper PDF format
full paper PDF format

Thermodynamics
Thermodynamics

... free energy, an environment at constant temperature T will contribute an amount TS to the system, reducing the overall investment necessary for creating the system. This net energy contribution for a system created in environment temperature T from a negligible initial volume is the Gibbs free energ ...
Nonequilibrim Fluctuation Theorems and Thermodynamic
Nonequilibrim Fluctuation Theorems and Thermodynamic

Lecture #6 09/14/04
Lecture #6 09/14/04

... Formally, an ensemble is virtual construct of many copies of a system of interest. Each member of an ensemble has some mechanic or thermodynamic variables fixed, but all states corresponding to these fixed variables all allowed. Each state is represented equally in an ensemble; or alternatively an i ...
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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.
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