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The entropy when T=>0

  1. Jun 7, 2007 #1
    1. The problem statement, all variables and given/known data

    hi, I have this problem that sounds easy (at least I hope so) the question is prove that the entropy goes to zero as the temperature goes to zero

    2. Relevant equations

    segma= -(omega+meo*average{N} -U}/kT

    segma=the entropy
    omega=grand canonical ensemble partition function
    meo=the chemical potential
    U=the internal energy
    k=boltzman constant
    T=the temperature

    3. The attempt at a solution

    I usually use this information (segma=>0 when T=>0) to answer other problems, but here I have to prove it. I thought of taking the limit of segma forT=>0, and change the variabels on the RHS as a function of T, then solve it, but it didn't work:frown:, I have 3 more days before I hand it over, and I'm revising for another exam :cry:. if any one can give me a hint or know a web site can help (I allready search), please do and I'll be thankfull.
  2. jcsd
  3. Jun 8, 2007 #2


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  4. Jun 8, 2007 #3
    thanks for trying to help chronos, but those doesn't involve the grand canonical ensemble partition function, although I still believe that taking the limit of the entropy at T=>0 will solve it,I think it's just math works, where I have to change:

    averageN= {V/lamda^3) EXP(meo/kT)

    omega= -kT {V/lamda^3} EXP(meo/kT)

    but I couldn't have the answer????
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