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Entropy and temperature

  1. Dec 21, 2013 #1
    in my thermo class when we were formalizing the definition of temperature ([itex]\frac{1}{T}[/itex]=[itex]\frac{∂S}{∂U}[/itex]), we drew out all the combinations of various slopes and concavities of the ∂S/∂U graphs.


    The shape of this graph i figure should be a reflection of the inherent nature of the material. so, my question is, what properties of the material determines the shape of this graph?
    Last edited: Dec 21, 2013
  2. jcsd
  3. Dec 21, 2013 #2
    I think the graph should be monotonically increasing since the temperature is the slope. Furthermore, the second derivative should also be considered since it relates to the heat capacity.
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