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1 8. Entropy (Hiroshi Matsuoka) Why do we need entropy? There
1 8. Entropy (Hiroshi Matsuoka) Why do we need entropy? There

... which implies that when dividing ! Qq s, which is not a change of a state variable, by T, which is a state variable, we get a change of the entropy, which we claim to be a state variable. Clearly, this is a claim that needs to be justified. It turns out that to justify this relation we need the seco ...
Second Law of thermodynamics
Second Law of thermodynamics

... quantity called entropy. • Entropy is a measure of order or disorder of a system • Entropy is a function of state of a system • Like potential energy, it is the change in entropy during a process that is important not the ...
Statistical mechanics
Statistical mechanics

... Statistical mechanics or statistical thermodynamics[1] is a branch of physics that applies probability theory, which contains mathematical tools for dealing with large populations, to the study of the thermodynamic behavior of systems composed of a large number of particles. Statistical mechanics pr ...
Fundamentals of chemical thermodynamics and bioenergetics
Fundamentals of chemical thermodynamics and bioenergetics

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File

What is thermodynamics?
What is thermodynamics?

... could repeat this many times- the ball might not always bounce the same way, but it would always fall toward the ground and end lying on the ground. On the other hand, you have probably never seen a rubber ball begin spontaneously bouncing and jump into your hand. Why not? 1 You may answer that the ...
S - BEHS Science
S - BEHS Science

... • Entropy can be thought of as a measure of the randomness of a system. • It is related to the various modes of motion in molecules. ...
Training
Training

Thermodynamics and the aims of statistical mechanics
Thermodynamics and the aims of statistical mechanics

... An absolutely central concept is thermal equilibrium. Equilibrium is any state a system is in once it has stopped exchanging heat with its surroundings; or, if it has no surroundings (= is isolated), once it has settled down to a macroscopically unchanging state. (Feynman: “equilibrium is when all t ...
Curso intensivo y Workshop de Física Matemática
Curso intensivo y Workshop de Física Matemática

Lecture 9
Lecture 9

• Thermodynamics, what is it? • System, Surrounding and Boundary
• Thermodynamics, what is it? • System, Surrounding and Boundary

... the history of the system. The value of a property is determined in principle by some type of physical operation or test. Extensive properties depend on the size or extent of the system. Volume, mass, energy, and entropy are examples of extensive properties. An extensive property is additive in the ...
66 In Thermodynamics, the total energy E of our system (as
66 In Thermodynamics, the total energy E of our system (as

HEALTH, AGEING AND ENTROPY
HEALTH, AGEING AND ENTROPY

... carbohydrates and proteins and on the other side we transfer it to the surroundings as heat. Thermodynamically it means that ordered organic molecules are changed to totally unordered form of energy – heat. Highly ordered systems carry low entropy and much stored information. According to second the ...
Thermodynamics of ideal gases
Thermodynamics of ideal gases

... take place in an isolated system which is not allowed to exchange heat with or perform work on the environment. The First Law states that the energy is unchanged under any process in an isolated system. This implies that the energy of an open system can only change by exchange of heat or work with t ...
эритмалар. эритмалар назарияси. эритмаларнинг хоссалари
эритмалар. эритмалар назарияси. эритмаларнинг хоссалари

3 free electron theory of metals
3 free electron theory of metals

The Canonical Ensemble
The Canonical Ensemble

Slide 1
Slide 1

C -- needs 4 e`s to complete its outer shell --
C -- needs 4 e`s to complete its outer shell --

... (Universe = System + Surroundings). Disorder is defined as the number of equivalent ways, w, of arranging the components. We define a measure of this called Entropy, S, which is more manageable in expressing the many ways of arranging the components: Entropy = S = k b ln W (kb = Boltzman's constant) ...
Chemical Thermodynamic
Chemical Thermodynamic

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Problem set 3: The Canonical Ensemble, continuous approach
Problem set 3: The Canonical Ensemble, continuous approach

Lecture 5
Lecture 5

Entropy Analysis of Pressure Driven Flow in a Curved Duct
Entropy Analysis of Pressure Driven Flow in a Curved Duct

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H-theorem



In classical statistical mechanics, the H-theorem, introduced by Ludwig Boltzmann in 1872, describes the tendency to increase in the quantity H (defined below) in a nearly-ideal gas of molecules. As this quantity H was meant to represent the entropy of thermodynamics, the H-theorem was an early demonstration of the power of statistical mechanics as it claimed to derive the second law of thermodynamics—a statement about fundamentally irreversible processes—from reversible microscopic mechanics.The H-theorem is a natural consequence of the kinetic equation derived by Boltzmann that has come to be known as Boltzmann's equation. The H-theorem has led to considerable discussion about its actual implications, with major themes being: What is entropy? In what sense does Boltzmann's quantity H correspond to the thermodynamic entropy? Are the assumptions (such as the Stosszahlansatz described below) behind Boltzmann's equation too strong? When are these assumptions violated?↑
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