Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Gibbs free energy and melting

  1. Feb 5, 2013 #1
    Hi,

    As I understand, during the process of phase change from a liquid to solid (or any phase change for that matter,) the temperature of the substance remains constant as the energy being applied to the substance is used in changing phase.

    How does this relate to Gibbs free energy? I read that [itex]\Delta G[/itex] during melting is zero. Enthalpy and entropy, however, increase. Does this have any relation to the uniformity of the temperature of the substance during the change of phase?

    I'm led to believe that [itex] \Delta G > 0[/itex] when phase change isn't taking place because of the changing temperature. (For example, when the temperature of water is raised from 30°C to 50°C.) How accurate is this assumption?

    Thanks,
     
    Last edited: Feb 5, 2013
  2. jcsd
  3. Feb 8, 2013 #2
    Gibbs free energy is not constant during phase change! Who told you this ?

    Clearly ΔG=ΔH-TΔS

    Entropy factor also changes though...
     
  4. Feb 8, 2013 #3

    DrDu

    User Avatar
    Science Advisor

    During a reversible phase change, e.g. slow melting of ice, G does not change.
    ##dG=VdP-SdT+\mu_l dN_l +\mu_s dN_S.##
    P and T are constant and ##dN_l=-dN_s##. ##\mu_l=\mu_s## is the condition for equilibrium of the two phases, so dG=0.
    ΔH is positive for melting (endothemal process), ΔS, too, as the entropy of the liquid is higher than that of the solid.
     
  5. Feb 8, 2013 #4

    Andy Resnick

    User Avatar
    Science Advisor
    Education Advisor

    The sign of ΔG tells you if the process is spontaneous (ΔG < 0) or not. As for phase transitions, there are at least 2 kinds: a 'first order phase transition' is accompanied by a discontinuous change in the derivative of the free energy and are associated with freezing/melting/etc. ΔG = 0 for a first order phase transition (ΔH = TΔS).

    Second-order phase transitions are associated with discontinuous changes to the second derivative of the free energy. IIRC, ΔG = 0 for a second order phase transition as well.

    http://www.helsinki.fi/~serimaa/soft-luento/soft-2-phase.html
     
  6. Feb 12, 2013 #5
    Thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Gibbs free energy and melting
  1. Gibbs Free energy change (Replies: 15)

  2. Gibbs free energy (Replies: 1)

Loading...