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Fundamental definition of temperature

  1. Jan 30, 2009 #1
    The fundamental definition of temperature is

    [tex]
    T^{-1} = \frac{dS}{dE}
    [/tex]

    How can I verify that the dimensions work in this equation?
     
    Last edited: Jan 30, 2009
  2. jcsd
  3. Jan 30, 2009 #2

    jambaugh

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    Science Advisor
    Gold Member

    Units of S over units of E = reciprocal of units of temperature.

    Typically (in statistical mechanics calculations) S is a unitless number multiplied by Boltzmann's constant so it's kind of automatic given the units of Boltzmann's constant.
     
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