Question

In: Physics

Consider a case in which we have an Einstein solid that is neither at high or...

Consider a case in which we have an Einstein solid that is neither at high or low temperature. In this case, we cannot use either the N>>q or q>>N approximation. In this case both N and q are >> 1. Derive an expression for the chemical potential then discuss how this more general result differs from and/or could correlate to the low and high temperature cases.

Thermodynamics

Solutions

Expert Solution

genius_generous answered 1 year ago
Next > < Previous

Related Solutions

einstein model take that in solid state, there are 3N normal mode vibration that all have...
einstein model take that in solid state, there are 3N normal mode vibration that all have the same mode frequency of ω0. the density of states σ(ω) for this model is σ(ω) = δ(ω − ω0) . a. with the given information, and by neglecting the zero point energy, calculate the total energy and the heat capacity Cv in this solid state model. b. when the temperture is high, show that Cv → 3N kB. this value is often called...
Starting with the multiplicity expression for an Einstein solid in the limit ? ≫ ?, i.e.,...
Starting with the multiplicity expression for an Einstein solid in the limit ? ≫ ?, i.e., Ω ≈ -./10, and the expression ? = ?? where ? is the smallest discrete energy unit, derive the energy U as a function of temperature.
we have the following statistics. maxwell-boltzmann, fermi-dirac and bose-einstein. when then sonsidering different systems which above...
we have the following statistics. maxwell-boltzmann, fermi-dirac and bose-einstein. when then sonsidering different systems which above statistics would fit the best, give a short answer of why. a) He4 under normal room conditions of temperature and pressure b) electrons in copper under normal room conditions c) He4 at lambda point d) electrons and holes in a semiconductor Ge in room temperature, band gap 1V
We consider the chemical potential for the case of an intrinsic semi-conductor. Which of the following...
We consider the chemical potential for the case of an intrinsic semi-conductor. Which of the following statements is correct? More than one answer might be correct. (Hint: examine the equation describing the chemical potential; ) A. The chemical potential will move closer to the valence band if the effective mass of the electron is larger than that of the hole at finite temperature. B. The chemical potential is not in the gap centre if the temperature is zero. C. The...
If Net Investment = 0 in a given year, this indicates that we have neither lost...
If Net Investment = 0 in a given year, this indicates that we have neither lost nor gained capital. That seems to be a desirable outcome. Do you agree? Nominal GDP rose by more than $1 trillion between 2015 and 2016. We can therefore be sure that the economy expanded. Critically evaluate. PLZ GIVE ORIGINAL ANSWER , THANK YOU
If Net Investment = 0 in a given year, this indicates that we have neither lost...
If Net Investment = 0 in a given year, this indicates that we have neither lost nor gained capital. That seems to be a desirable outcome. Do you agree? Nominal GDP rose by more than $1 trillion between 2015 and 2016. We can therefore be sure that the economy expanded. Critically evaluate. ** plz put layman's terms**
If Net Investment = 0 in a given year, this indicates that we have neither lost...
If Net Investment = 0 in a given year, this indicates that we have neither lost nor gained capital. That seems to be a desirable outcome. Do you agree? Nominal GDP rose by more than $1 trillion between 2015 and 2016. We can therefore be sure that the economy expanded. Critically evaluate.
Is a high school building an asset or is it a liability? If it is neither,...
Is a high school building an asset or is it a liability? If it is neither, how should the cost be recorded? How is a high school reported in fund financial statements? How is the same high school reported in government-wide financial statements? Is the current method we use for government accounting the right approach to the case? What is a different approach other than the current method we can use for government accounting?  
Consider a case in which you have a material that support a certain stress at 75oC...
Consider a case in which you have a material that support a certain stress at 75oC and you have several candidate polymers for which you need to determine the Tg using DSC or DMA(both of these are in your lab). Which technique would you select? Please provide a basis for your selection in terms of how the type of information it provides (based on how it works) and how/why it would be best suited for this application.
Consider a simple case where we have trained a NN for recognising patterns X1 to Xn...
Consider a simple case where we have trained a NN for recognising patterns X1 to Xn belonging to some classes, say A and B. Suppose we have a new training data Xn+1 that belongs to class C. We want this also to be trained. Will the previous training be impacted? How would it work?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT