T08.2 b) c)

T08.2 Chemical potential II

To solve the point b) and c) im considering the next entropy function:



b) Calculate the Helmholtz free energy as a function of T, V, N.
Im using the relation between the Hemholtz free energy and the entropy:
 

c) Calculate the chemical potential µ as a function of T, V, N.
from the most new lecture notes, the expresion for the chemical potentential µ is given as:


so:



Comentarios

  1. Thomas8 de mayo de 2020 a las 2:26 p.m.

    You result seems to be correct, up to the "N" which appears in the last term together with "k_B T".
    It should not be there since the chemical potential is an intensive quantity. I guess it is simply a typo.

    ResponderBorrar
  2. Thomas8 de mayo de 2020 a las 2:28 p.m.

    Sorry I only commented on the part (c) --- the chemical potential. Part (b) for the Helmholtz free energy is correct.

    ResponderBorrar
  3. Ramon Navarro8 de mayo de 2020 a las 4:07 p.m.

    you're right, i forgot to remove N when i multiply entropy by T/N, thanks.

    ResponderBorrar

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