Question

In: Chemistry

Describe the relationship between an ensemble, microstates, and entropy.

Describe the relationship between an ensemble, microstates, and entropy.

Solutions

Expert Solution

Here is goes, the relationship between ensemble, microstates and entropy.

An ensemble is a collection of copies of thermodynamic systems, where each has its own possible state or called microstate. These microscopic states have many configurations within thermodynamic properties of the system.

So thus ensembles have almost all the possible states of a system, as it consists virtually infinite states. Now, these microstates can be of any dimension or physical state, such as completely isolated from the environment, with fixed energy in the system.

Another can be of fix temperature microstates and this collection varies from conditions and hence ensemble also varies along with it.

Entropy and these ensembles have a complex relationship in terms of energy distribution and are given by a particular equation.

Now Entropy S is defined by below formula in general in thermodynamics

Where Kb is the Boltzmann's constant and

is the number of microstates consists of that particular ensembles

Hope this relationship details of above mentioned thermodynamic systems and properties, helps you.


Related Solutions

This problem will relate some of the ideas of microstates, ensemble, statisticalmechanical entropy, and our ideal...
This problem will relate some of the ideas of microstates, ensemble, statisticalmechanical entropy, and our ideal model of many identical oscillators, to intuitive notions of entropy and disorder in a very complex system – a protein. A protein is basically a long chain of amino acid residues that folds into a regular shape and performs a huge variety of biological functions. Biochemistry and biology students will already know a lot about proteins, you may know a lot after having taken...
The connection between the number of microstates,W, and the entropy, S, of a system is expressed...
The connection between the number of microstates,W, and the entropy, S, of a system is expressed by the Boltzmann equation S=klnW where k is the Boltzmann constant per molecule (particle), 1.38×10−23 J/(K⋅particle). From this equation the entropy change, ΔS, for a system can be related to the change in the number of microstates as ΔS=klnWfinalWinitial where Wfinal in the final number of microstates and Winitial is the initial number of microstates. Part B A gaseous system undergoes a change in...
describe the relationship between leverage and solvency.
describe the relationship between leverage and solvency.
Describe the concept of a ‘canonical ensemble’ and why it is useful in statistical thermodynamics. Prove...
Describe the concept of a ‘canonical ensemble’ and why it is useful in statistical thermodynamics. Prove that for an ensemble of distinguisable independent molecules the canonical partition function Q=q^N
1-Describe and explain the relationship between number of carriers and Vmax. 2-Describe and explain the relationship...
1-Describe and explain the relationship between number of carriers and Vmax. 2-Describe and explain the relationship between number of carriers and Km.
Describe the relationship between strategy and structure in business.
Describe the relationship between strategy and structure in business.
Describe the relationship between protein structure and function.
Describe the relationship between protein structure and function.
Describe the relationship between “Terms,” “Performance,” and “Breach.”
Describe the relationship between “Terms,” “Performance,” and “Breach.”
1.Describe the relationship between strategy and structure.
1.Describe the relationship between strategy and structure.
What’s the difference between energy and entropy?
What’s the difference between energy and entropy?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT