CHE582: Statistical Thermodynamics in Molecular Spectroscopy

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What is the connection between the statistical weight 𝑤 and entropy S?

𝑤 and S are unrelated (correct)

𝑤 is equal to S

𝑤 is directly proportional to S

𝑤 is inversely proportional to S

What does the formula S = k · lnW represent in the context of statistical theory?

Thermodynamic probability

Entropy (correct)

Total energy of particles

Maxwell-Boltzmann Distribution Law

According to the statistical model, which states do systems tend to change to spontaneously?

States with high thermodynamic probability (correct)

States with low thermodynamic probability

States with medium thermodynamic probability

States with random thermodynamic probability

What does the second law of thermodynamics state?

Systems tend to change to states with high thermodynamic probability Signup and view all the answers

In the Maxwell-Boltzmann Distribution Law, what does the assumption that 'associated particles are distinguishable' imply?

Particles are indistinguishable from each other Signup and view all the answers

In statistical theory, what does the term 'macrostate' refer to?

Distinguishably different microstates Signup and view all the answers

What constant appears in the formula S = k · lnW, where k has units of entropy?

Boltzmann constant Signup and view all the answers

How is the total configuration of a system with two subsystems A and B calculated?

Multiplying the configurations of A and B: Wtotal = WA x WB Signup and view all the answers

How is the macrostate with the highest thermodynamic probability described?

It is the equilibrium state of the system Signup and view all the answers

What does the statistical model suggest about the behavior of systems out of equilibrium?

Systems change spontaneously from states with high thermodynamic probability to low probability states Signup and view all the answers

In the Maxwell-Boltzmann Distribution Law, how are the number of particles in different energy levels represented?

As a variable number for each level Signup and view all the answers

What type of function is f (w) in the context of thermodynamic probability and entropy?

Single-valued, monotonically increasing function Signup and view all the answers

What does statistical thermodynamics provide a means of calculating?

Thermodynamic properties Signup and view all the answers

What was one of the first applications of the concept of statistical thermodynamics?

Development of the kinetic theory of gases Signup and view all the answers

What does the text mention as one of the important unanswered questions by classical thermodynamics?

What really is entropy? Signup and view all the answers

What is one of the aspects the statistical theory of thermodynamics addresses according to the text?

Entropy increase Signup and view all the answers

Based on the text, what concept does the Maxwell Boltzmann distribution of molecular velocities rely on?

Range of velocities and energies Signup and view all the answers

How does statistical thermodynamics link the microscopic and macroscopic properties of matter?

By calculating thermodynamic properties from statistical relationships Signup and view all the answers